{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"import plotly.express as px\n",
"from statsmodels.nonparametric.kernel_regression import KernelReg\n",
"import plotly.graph_objs as go\n",
"import pandas as pd \n",
"import KernelRegression"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(1)# xwidth controls the range of x values.\n",
"xwidth = 20\n",
"x = np.arange(0,xwidth,1)# we want to add some noise to the x values so that dont sit at regular intervals\n",
"x_residuals = np.random.normal(scale=0.2, size=[x.shape[0]])# new_x is the range of x values we will be using all the way through\n",
"new_x = x + x_residuals# We generate residuals for y values since we want to show some variation in the data\n",
"num_points = x.shape[0]\n",
"residuals = np.random.normal(scale=2.0, size=[num_points])# We will be using fun_y to generate y values all the way through\n",
"fun_y = lambda x: -(x*x) + residuals"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(1)# xwidth controls the range of x values.\n",
"xwidth = 20\n",
"x = np.arange(0,xwidth,1)# we want to add some noise to the x values so that dont sit at regular intervals\n",
"x_residuals = np.random.normal(scale=0.2, size=[x.shape[0]])# new_x is the range of x values we will be using all the way through\n",
"new_x = x + x_residuals# We generate residuals for y values since we want to show some variation in the data\n",
"num_points = x.shape[0]\n",
"residuals = np.random.normal(scale=2.0, size=[num_points])# We will be using fun_y to generate y values all the way through\n",
"fun_y = lambda x: -(x*x) + residuals"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" \n",
" "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "x=%{x}
y=%{y}",
"legendgroup": "",
"marker": {
"color": "#636efa",
"symbol": "circle"
},
"mode": "markers",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
0.32486907273264837,
0.877648717269985,
1.894365649547309,
2.785406275568766,
4.173081525864935,
4.539692260623943,
6.348962352843296,
6.847758619820979,
8.06380781921142,
8.950125924904517,
10.292421587408995,
10.587971858100468,
11.935516559197298,
12.923189129066317,
14.226753888467087,
14.780021746537194,
15.965514358489912,
16.824428316415727,
18.008442749343118,
19.116563042743163
],
"xaxis": "x",
"y": [
-2.3067782688440133,
1.5191801487535783,
-1.7854397729992066,
-6.753499442174128,
-15.612897522986392,
-21.976261539517594,
-40.555103408858784,
-48.76333698385066,
-65.56077270442727,
-79.04404313817157,
-107.31726363641332,
-112.89865512163944,
-143.8309009351121,
-168.69922854861528,
-203.74301846468703,
-218.47437202595017,
-257.1322694284181,
-282.59255677857715,
-320.984405902149,
-363.95889424601904
],
"yaxis": "y"
}
],
"layout": {
"legend": {
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Figure 1: Visualizing the generated data"
},
"xaxis": {
"anchor": "y",
"domain": [
0,
1
],
"title": {
"text": "x"
}
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"title": {
"text": "y"
}
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the x and y values \n",
"px.scatter(x=new_x,y=fun_y(new_x), title='Figure 1: Visualizing the generated data')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"#ker_log = KernelReg(new_x, fun_y(new_x), 'c')\n"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"#fig = px.scatter(x=new_x,y=fun_y(new_x), title='Figure 2: Statsmodels fit to generated data')\n",
"#fig.add_trace(go.Scatter(x=new_x, y=pred_y, name='Statsmodels fit', mode='lines'))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"kernel_x = np.arange(-2, 2, 0.01)\n",
"bw_manual = 3\n",
"\n",
"def epanechnikov_one(h, ker_x, xi): \n",
" \"\"\"\n",
" Returns the epanechnikov function value.\n",
" \"\"\"\n",
" value = 0.75*(1-np.square((xi-ker_x)/h))\n",
" if (value < 0):\n",
" value = 0\n",
" return value\n",
"\n",
"def epanechnikov_list(h, ker_x, xi): \n",
" \"\"\"\n",
" Returns the epanechnikov function value.\n",
" \"\"\"\n",
" value = 0.75*(1-np.square((xi-ker_x)/h))\n",
" value = [0 if i < 0 else i for i in value]\n",
" return value\n",
"\n",
"\n",
"def weights_epanechnikov(bw_manual, input_x, all_input_values ): \n",
" w_row = []\n",
" for x_i in all_input_values: \n",
" ki = epanechnikov_one(bw_manual, x_i, input_x)\n",
" ki_sum = np.sum(epanechnikov_list(bw_manual, all_input_values, input_x))\n",
" w_row.append(ki/ki_sum)\n",
" return w_row\n",
"\n",
"def single_y_pred_epanechnikov(bw_manual, input_x, x_values, y_values): \n",
" w = weights_epanechnikov(bw_manual, input_x, x_values)\n",
" y_single = np.sum(np.dot(y_values,w))\n",
" return y_single\n",
"\n",
"# We are selecting a single point and calculating the Kernel value\n",
"input_x = 0\n",
"col1 = KernelRegression.gauss_const(bw_manual)\n",
"col2= KernelRegression.gauss_exp(kernel_x, input_x, bw_manual)\n",
"col3 = epanechnikov_list(1, kernel_x, input_x)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "x=%{x}
y=%{y}",
"legendgroup": "",
"line": {
"color": "#636efa",
"dash": "solid"
},
"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
-2,
-1.99,
-1.98,
-1.97,
-1.96,
-1.95,
-1.94,
-1.93,
-1.92,
-1.91,
-1.9,
-1.89,
-1.88,
-1.8699999999999999,
-1.8599999999999999,
-1.8499999999999999,
-1.8399999999999999,
-1.8299999999999998,
-1.8199999999999998,
-1.8099999999999998,
-1.7999999999999998,
-1.7899999999999998,
-1.7799999999999998,
-1.7699999999999998,
-1.7599999999999998,
-1.7499999999999998,
-1.7399999999999998,
-1.7299999999999998,
-1.7199999999999998,
-1.7099999999999997,
-1.6999999999999997,
-1.6899999999999997,
-1.6799999999999997,
-1.6699999999999997,
-1.6599999999999997,
-1.6499999999999997,
-1.6399999999999997,
-1.6299999999999997,
-1.6199999999999997,
-1.6099999999999997,
-1.5999999999999996,
-1.5899999999999996,
-1.5799999999999996,
-1.5699999999999996,
-1.5599999999999996,
-1.5499999999999996,
-1.5399999999999996,
-1.5299999999999996,
-1.5199999999999996,
-1.5099999999999996,
-1.4999999999999996,
-1.4899999999999995,
-1.4799999999999995,
-1.4699999999999995,
-1.4599999999999995,
-1.4499999999999995,
-1.4399999999999995,
-1.4299999999999995,
-1.4199999999999995,
-1.4099999999999995,
-1.3999999999999995,
-1.3899999999999995,
-1.3799999999999994,
-1.3699999999999994,
-1.3599999999999994,
-1.3499999999999994,
-1.3399999999999994,
-1.3299999999999994,
-1.3199999999999994,
-1.3099999999999994,
-1.2999999999999994,
-1.2899999999999994,
-1.2799999999999994,
-1.2699999999999994,
-1.2599999999999993,
-1.2499999999999993,
-1.2399999999999993,
-1.2299999999999993,
-1.2199999999999993,
-1.2099999999999993,
-1.1999999999999993,
-1.1899999999999993,
-1.1799999999999993,
-1.1699999999999993,
-1.1599999999999993,
-1.1499999999999992,
-1.1399999999999992,
-1.1299999999999992,
-1.1199999999999992,
-1.1099999999999992,
-1.0999999999999992,
-1.0899999999999992,
-1.0799999999999992,
-1.0699999999999992,
-1.0599999999999992,
-1.0499999999999992,
-1.0399999999999991,
-1.0299999999999991,
-1.0199999999999991,
-1.0099999999999991,
-0.9999999999999991,
-0.9899999999999991,
-0.9799999999999991,
-0.9699999999999991,
-0.9599999999999991,
-0.9499999999999991,
-0.9399999999999991,
-0.929999999999999,
-0.919999999999999,
-0.909999999999999,
-0.899999999999999,
-0.889999999999999,
-0.879999999999999,
-0.869999999999999,
-0.859999999999999,
-0.849999999999999,
-0.839999999999999,
-0.829999999999999,
-0.819999999999999,
-0.8099999999999989,
-0.7999999999999989,
-0.7899999999999989,
-0.7799999999999989,
-0.7699999999999989,
-0.7599999999999989,
-0.7499999999999989,
-0.7399999999999989,
-0.7299999999999989,
-0.7199999999999989,
-0.7099999999999989,
-0.6999999999999988,
-0.6899999999999988,
-0.6799999999999988,
-0.6699999999999988,
-0.6599999999999988,
-0.6499999999999988,
-0.6399999999999988,
-0.6299999999999988,
-0.6199999999999988,
-0.6099999999999988,
-0.5999999999999988,
-0.5899999999999987,
-0.5799999999999987,
-0.5699999999999987,
-0.5599999999999987,
-0.5499999999999987,
-0.5399999999999987,
-0.5299999999999987,
-0.5199999999999987,
-0.5099999999999987,
-0.49999999999999867,
-0.48999999999999866,
-0.47999999999999865,
-0.46999999999999864,
-0.45999999999999863,
-0.4499999999999986,
-0.4399999999999986,
-0.4299999999999986,
-0.4199999999999986,
-0.4099999999999986,
-0.3999999999999986,
-0.38999999999999857,
-0.37999999999999856,
-0.36999999999999855,
-0.35999999999999854,
-0.34999999999999853,
-0.3399999999999985,
-0.3299999999999985,
-0.3199999999999985,
-0.3099999999999985,
-0.2999999999999985,
-0.2899999999999985,
-0.2799999999999985,
-0.26999999999999846,
-0.25999999999999845,
-0.24999999999999845,
-0.23999999999999844,
-0.22999999999999843,
-0.21999999999999842,
-0.2099999999999984,
-0.1999999999999984,
-0.1899999999999984,
-0.17999999999999838,
-0.16999999999999837,
-0.15999999999999837,
-0.14999999999999836,
-0.13999999999999835,
-0.12999999999999834,
-0.11999999999999833,
-0.10999999999999832,
-0.09999999999999831,
-0.0899999999999983,
-0.0799999999999983,
-0.06999999999999829,
-0.05999999999999828,
-0.04999999999999827,
-0.03999999999999826,
-0.02999999999999825,
-0.01999999999999824,
-0.009999999999998233,
1.7763568394002505e-15,
0.010000000000001563,
0.020000000000001794,
0.030000000000002025,
0.04000000000000181,
0.0500000000000016,
0.06000000000000183,
0.07000000000000206,
0.08000000000000185,
0.09000000000000163,
0.10000000000000187,
0.1100000000000021,
0.12000000000000188,
0.13000000000000167,
0.1400000000000019,
0.15000000000000213,
0.16000000000000192,
0.1700000000000017,
0.18000000000000194,
0.19000000000000217,
0.20000000000000195,
0.21000000000000174,
0.22000000000000197,
0.2300000000000022,
0.240000000000002,
0.2500000000000018,
0.260000000000002,
0.27000000000000224,
0.280000000000002,
0.2900000000000018,
0.30000000000000204,
0.3100000000000023,
0.32000000000000206,
0.33000000000000185,
0.3400000000000021,
0.3500000000000023,
0.3600000000000021,
0.3700000000000019,
0.3800000000000021,
0.39000000000000234,
0.40000000000000213,
0.4100000000000019,
0.42000000000000215,
0.4300000000000024,
0.44000000000000217,
0.45000000000000195,
0.4600000000000022,
0.4700000000000024,
0.4800000000000022,
0.490000000000002,
0.5000000000000022,
0.5100000000000025,
0.5200000000000022,
0.530000000000002,
0.5400000000000023,
0.5500000000000025,
0.5600000000000023,
0.5700000000000021,
0.5800000000000023,
0.5900000000000025,
0.6000000000000023,
0.6100000000000021,
0.6200000000000023,
0.6300000000000026,
0.6400000000000023,
0.6500000000000021,
0.6600000000000024,
0.6700000000000026,
0.6800000000000024,
0.6900000000000022,
0.7000000000000024,
0.7100000000000026,
0.7200000000000024,
0.7300000000000022,
0.7400000000000024,
0.7500000000000027,
0.7600000000000025,
0.7700000000000022,
0.7800000000000025,
0.7900000000000027,
0.8000000000000025,
0.8100000000000023,
0.8200000000000025,
0.8300000000000027,
0.8400000000000025,
0.8500000000000023,
0.8600000000000025,
0.8700000000000028,
0.8800000000000026,
0.8900000000000023,
0.9000000000000026,
0.9100000000000028,
0.9200000000000026,
0.9300000000000024,
0.9400000000000026,
0.9500000000000028,
0.9600000000000026,
0.9700000000000024,
0.9800000000000026,
0.9900000000000029,
1.0000000000000027,
1.0100000000000025,
1.0200000000000027,
1.030000000000003,
1.0400000000000027,
1.0500000000000025,
1.0600000000000027,
1.070000000000003,
1.0800000000000027,
1.0900000000000025,
1.1000000000000028,
1.110000000000003,
1.1200000000000028,
1.1300000000000026,
1.1400000000000028,
1.150000000000003,
1.1600000000000028,
1.1700000000000026,
1.1800000000000028,
1.190000000000003,
1.2000000000000028,
1.2100000000000026,
1.2200000000000029,
1.230000000000003,
1.2400000000000029,
1.2500000000000027,
1.260000000000003,
1.2700000000000031,
1.280000000000003,
1.2900000000000027,
1.300000000000003,
1.3100000000000032,
1.320000000000003,
1.3300000000000027,
1.340000000000003,
1.3500000000000032,
1.360000000000003,
1.3700000000000028,
1.380000000000003,
1.3900000000000032,
1.400000000000003,
1.4100000000000028,
1.420000000000003,
1.4300000000000033,
1.440000000000003,
1.4500000000000028,
1.460000000000003,
1.4700000000000033,
1.480000000000003,
1.4900000000000029,
1.500000000000003,
1.5100000000000033,
1.5200000000000031,
1.530000000000003,
1.5400000000000031,
1.5500000000000034,
1.5600000000000032,
1.570000000000003,
1.5800000000000032,
1.5900000000000034,
1.6000000000000032,
1.610000000000003,
1.6200000000000032,
1.6300000000000034,
1.6400000000000032,
1.650000000000003,
1.6600000000000033,
1.6700000000000035,
1.6800000000000033,
1.690000000000003,
1.7000000000000033,
1.7100000000000035,
1.7200000000000033,
1.730000000000003,
1.7400000000000033,
1.7500000000000036,
1.7600000000000033,
1.7700000000000031,
1.7800000000000034,
1.7900000000000036,
1.8000000000000034,
1.8100000000000032,
1.8200000000000034,
1.8300000000000036,
1.8400000000000034,
1.8500000000000032,
1.8600000000000034,
1.8700000000000037,
1.8800000000000034,
1.8900000000000032,
1.9000000000000035,
1.9100000000000037,
1.9200000000000035,
1.9300000000000033,
1.9400000000000035,
1.9500000000000037,
1.9600000000000035,
1.9700000000000033,
1.9800000000000035,
1.9900000000000038
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1.3322676295501878e-15,
0.014925000000001354,
0.02970000000000131,
0.04432500000000136,
0.05880000000000135,
0.07312500000000136,
0.0873000000000013,
0.10132500000000133,
0.1152000000000013,
0.1289250000000013,
0.1425000000000013,
0.1559250000000013,
0.16920000000000135,
0.18232500000000132,
0.1953000000000013,
0.2081250000000013,
0.22080000000000133,
0.23332500000000128,
0.24570000000000125,
0.2579250000000013,
0.27000000000000124,
0.28192500000000126,
0.2937000000000013,
0.3053250000000013,
0.31680000000000125,
0.3281250000000012,
0.33930000000000127,
0.3503250000000012,
0.3612000000000012,
0.3719250000000013,
0.3825000000000012,
0.3929250000000012,
0.4032000000000012,
0.41332500000000116,
0.4233000000000012,
0.4331250000000012,
0.4428000000000012,
0.45232500000000114,
0.4617000000000011,
0.4709250000000011,
0.4800000000000011,
0.4889250000000011,
0.49770000000000114,
0.506325000000001,
0.514800000000001,
0.523125000000001,
0.5313000000000011,
0.539325000000001,
0.547200000000001,
0.554925000000001,
0.562500000000001,
0.569925000000001,
0.5772000000000009,
0.5843250000000009,
0.591300000000001,
0.5981250000000009,
0.6048000000000009,
0.611325000000001,
0.6177000000000009,
0.623925000000001,
0.6300000000000009,
0.6359250000000009,
0.6417000000000008,
0.6473250000000008,
0.6528000000000008,
0.6581250000000007,
0.6633000000000007,
0.6683250000000007,
0.6732000000000007,
0.6779250000000007,
0.6825000000000007,
0.6869250000000007,
0.6912000000000007,
0.6953250000000006,
0.6993000000000006,
0.7031250000000006,
0.7068000000000005,
0.7103250000000005,
0.7137000000000004,
0.7169250000000005,
0.7200000000000004,
0.7229250000000005,
0.7257000000000005,
0.7283250000000003,
0.7308000000000003,
0.7331250000000004,
0.7353000000000004,
0.7373250000000003,
0.7392000000000003,
0.7409250000000003,
0.7425000000000003,
0.7439250000000003,
0.7452000000000002,
0.7463250000000001,
0.7473000000000001,
0.7481250000000002,
0.7488000000000001,
0.749325,
0.7497,
0.749925,
0.75,
0.749925,
0.7496999999999999,
0.7493249999999999,
0.7487999999999999,
0.7481249999999999,
0.7472999999999999,
0.7463249999999998,
0.7451999999999998,
0.7439249999999997,
0.7424999999999997,
0.7409249999999996,
0.7391999999999996,
0.7373249999999997,
0.7352999999999996,
0.7331249999999996,
0.7307999999999996,
0.7283249999999996,
0.7256999999999996,
0.7229249999999994,
0.7199999999999994,
0.7169249999999995,
0.7136999999999993,
0.7103249999999992,
0.7067999999999992,
0.7031249999999993,
0.6992999999999993,
0.6953249999999991,
0.6911999999999991,
0.6869249999999992,
0.6824999999999991,
0.677924999999999,
0.6731999999999989,
0.6683249999999991,
0.663299999999999,
0.6581249999999987,
0.6527999999999989,
0.647324999999999,
0.6416999999999988,
0.6359249999999986,
0.6299999999999988,
0.6239249999999988,
0.6176999999999987,
0.6113249999999985,
0.6047999999999986,
0.5981249999999987,
0.5912999999999985,
0.5843249999999982,
0.5771999999999984,
0.5699249999999985,
0.5624999999999983,
0.5549249999999981,
0.5471999999999982,
0.5393249999999984,
0.5312999999999982,
0.5231249999999981,
0.5147999999999981,
0.5063249999999981,
0.497699999999998,
0.4889249999999978,
0.47999999999999793,
0.4709249999999981,
0.4616999999999978,
0.45232499999999753,
0.4427999999999977,
0.43312499999999793,
0.4232999999999977,
0.41332499999999744,
0.40319999999999756,
0.39292499999999775,
0.3824999999999975,
0.3719249999999972,
0.36119999999999736,
0.35032499999999756,
0.33929999999999727,
0.328124999999997,
0.3167999999999972,
0.3053249999999974,
0.29369999999999713,
0.28192499999999676,
0.269999999999997,
0.25792499999999724,
0.24569999999999692,
0.23332499999999662,
0.22079999999999683,
0.20812499999999706,
0.19529999999999673,
0.1823249999999964,
0.1691999999999966,
0.1559249999999969,
0.14249999999999655,
0.1289249999999962,
0.11519999999999639,
0.10132499999999667,
0.0872999999999963,
0.07312499999999594,
0.05879999999999619,
0.04432499999999645,
0.029699999999996146,
0.014924999999995692,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
}
],
"layout": {
"legend": {
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Figure 3: Kernel function for a single input value"
},
"xaxis": {
"anchor": "y",
"domain": [
0,
1
],
"title": {
"text": "x"
}
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"title": {
"text": "y"
}
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plotting a scatter plot of Kernel \n",
"px.line(x=kernel_x, y=col3, title='Figure 3: Kernel function for a single input value')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "variable=x_value_0.32
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_0.32",
"line": {
"color": "#636efa",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_0.32",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.03709507561445874,
0.08500956015999936,
0.1312573780388733,
0.17583852925108065,
0.21875301379662115,
0.2600008316754949,
0.2995819828877021,
0.33749646743324246,
0.3737442853121161,
0.4083254365243232,
0.4412399210698634,
0.47248773894873697,
0.5020688901609438,
0.5299833747064839,
0.5562311925853572,
0.580812343797564,
0.603726828343104,
0.6249746462219772,
0.6445557974341838,
0.6624702819797236,
0.6787180998585968,
0.6932992510708031,
0.7062137356163428,
0.7174615534952158,
0.727042704707422,
0.7349571892529617,
0.7412050071318345,
0.7457861583440406,
0.74870064288958,
0.7499484607684527,
0.7495296119806587,
0.7474440965261979,
0.7436919144050705,
0.7382730656172763,
0.7311875501628154,
0.722435368041688,
0.7120165192538935,
0.6999310037994325,
0.6861788216783049,
0.6707599728905104,
0.6536744574360492,
0.6349222753149214,
0.6145034265271268,
0.5924179110726655,
0.5686657289515374,
0.5432468801637427,
0.5161613647092813,
0.48740918258815313,
0.45699033380035825,
0.42490481834589666,
0.39115263622476837,
0.35573378743697326,
0.3186482719825116,
0.27989608986138326,
0.23947724107358798,
0.19739172561912618,
0.15363954349799763,
0.10822069471020224,
0.061135179255740246,
0.012382997134611579,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_0.88
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_0.88",
"line": {
"color": "#EF553B",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_0.88",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.011134009711827375,
0.05992815499965684,
0.10705563362081963,
0.15251644557531582,
0.19631059086314517,
0.23843806948430776,
0.2788988814388038,
0.317693026726633,
0.35482050534779547,
0.39028131730229143,
0.42407546259012047,
0.4562029412112828,
0.4866637531657786,
0.5154578984536076,
0.5425853770747697,
0.5680461890292652,
0.591840334317094,
0.6139678129382562,
0.6344286248927515,
0.6532227701805802,
0.6703502488017421,
0.6858110607562374,
0.6996052060440658,
0.7117326846652277,
0.7221934966197229,
0.7309876419075512,
0.7381151205287129,
0.7435759324832079,
0.7473700777710361,
0.7494975563921976,
0.7499583683466924,
0.7487525136345206,
0.745879992255682,
0.7413408042101767,
0.7351349494980046,
0.7272624281191659,
0.7177232400736604,
0.7065173853614882,
0.6936448639826494,
0.6791056759371437,
0.6628998212249714,
0.6450272998461323,
0.6254881118006266,
0.6042822570884542,
0.5814097357096148,
0.5568705476641089,
0.5306646929519365,
0.5027921715730972,
0.47325298352759104,
0.44204712881541836,
0.40917460743657896,
0.37463541939107264,
0.33842956467889984,
0.3005570433000602,
0.2610178552545539,
0.21981200054238084,
0.17693947916354114,
0.13240029111803459,
0.08619443640586144,
0.03832191502702162,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_1.89
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_1.89",
"line": {
"color": "#00cc96",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_1.89",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.002814529734394333,
0.05188729056017896,
0.09929338471929691,
0.14503281221174827,
0.18910557303753278,
0.23151166719665053,
0.2722510946891018,
0.31132385551488606,
0.34872994967400384,
0.38446937716645485,
0.41854213799223905,
0.4509482321513566,
0.4816876596438075,
0.5107604204695916,
0.5381665146287089,
0.5639059421211596,
0.5879787029469437,
0.610384797106061,
0.6311242245985114,
0.6501969854242953,
0.6676030795834125,
0.6833425070758629,
0.6974152679016465,
0.7098213620607635,
0.7205607895532138,
0.7296335503789974,
0.7370396445381142,
0.7427790720305643,
0.7468518328563477,
0.7492579270154645,
0.7499973545079144,
0.7490701153336976,
0.7464762094928142,
0.742215636985264,
0.7362883978110472,
0.7286944919701637,
0.7194339194626133,
0.7085066802883963,
0.6959127744475126,
0.6816522019399621,
0.6657249627657449,
0.6481310569248611,
0.6288704844173105,
0.6079432452430932,
0.5853493394022091,
0.5610887668946585,
0.5351615277204411,
0.507567621879557,
0.4783070493720059,
0.44737981019778844,
0.4147859043569042,
0.38052533184935305,
0.3445980926751354,
0.30700418683425096,
0.2677436143266998,
0.2268163751524819,
0.18422246931159736,
0.13996189680404597,
0.09403465762982807,
0.04644075178894341,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_2.79
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_2.79",
"line": {
"color": "#ab63fa",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_2.79",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.007279114149692373,
0.05620255207583455,
0.10345932333530988,
0.14904942792811846,
0.19297286585426052,
0.23522963711373573,
0.2758197417065442,
0.31474317963268617,
0.3519999508921612,
0.3875900554849695,
0.4215134934111112,
0.45377026467058623,
0.4843603692633944,
0.5132838071895359,
0.5405405784490107,
0.5661306830418189,
0.5900541209679602,
0.612310892227435,
0.6329009968202429,
0.6518244347463841,
0.6690812060058586,
0.6846713105986664,
0.6985947485248075,
0.710851519784282,
0.7214416243770896,
0.7303650623032306,
0.7376218335627048,
0.7432119381555123,
0.7471353760816531,
0.7493921473411272,
0.7499822519339346,
0.7489056898600753,
0.7461624611195493,
0.7417525657123566,
0.7356760036384971,
0.7279327748979709,
0.718522879490778,
0.7074463174169183,
0.6947030886763921,
0.680293193269199,
0.6642166311953392,
0.6464734024548128,
0.6270635070476196,
0.6059869449737597,
0.5832437162332331,
0.5588338208260398,
0.5327572587521798,
0.505014030011653,
0.47560413460445955,
0.44452757253059927,
0.41178434379007245,
0.3773744483828789,
0.34129788630901847,
0.30355465756849154,
0.2641447621612978,
0.22306820008743722,
0.18032497134691014,
0.1359150759397163,
0.08983851386585553,
0.04209528512532826,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_4.17
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_4.17",
"line": {
"color": "#FFA15A",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_4.17",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.01339885338020158,
0.06211687881127939,
0.10916823757569077,
0.15455292967343515,
0.19827095510451292,
0.24032231386892403,
0.28070700596666837,
0.3194250313977459,
0.35647639016215693,
0.3918610822599011,
0.4255791076909786,
0.4576304664553894,
0.48801515855313343,
0.5167331839842106,
0.5437845427486214,
0.5691692348463654,
0.5928872602774427,
0.614938619041853,
0.6353233111395968,
0.6540413365706739,
0.6710926953350842,
0.6864773874328278,
0.7001954128639047,
0.712246771628315,
0.7226314637260585,
0.7313494891571353,
0.7384008479215454,
0.7437855400192888,
0.7475035654503653,
0.7495549242147752,
0.7499396163125185,
0.748657641743595,
0.7457090005080047,
0.7410936926057478,
0.7348117180368241,
0.7268630768012337,
0.7172477688989767,
0.7059657943300529,
0.6930171530944624,
0.6784018451922051,
0.6621198706232813,
0.6441712293876907,
0.6245559214854333,
0.6032739469165092,
0.5803253056809184,
0.5557099977786608,
0.5294280232097367,
0.5014793819741458,
0.4718640740718881,
0.4405820995029638,
0.40763345826737263,
0.37301815036511493,
0.3367361757961904,
0.29878753456059914,
0.2591722266583413,
0.21789025208941667,
0.17494161085382523,
0.1303263029515672,
0.08404432838264247,
0.03609568714705083,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_4.54
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_4.54",
"line": {
"color": "#19d3f3",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_4.54",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.02985078440245778,
0.07801232207951914,
0.12450719308991365,
0.16933539743364148,
0.21249693511070272,
0.2539918061210971,
0.29382001046482475,
0.33198154814188585,
0.3684764191522801,
0.4033046234960076,
0.4364661611730685,
0.4679610321834627,
0.4977892365271901,
0.5259507742042508,
0.5524456452146448,
0.577273849558372,
0.6004353872354327,
0.6219302582458265,
0.6417584625895536,
0.659920000266614,
0.6764148712770077,
0.6912430756207347,
0.704404613297795,
0.7158994843081886,
0.7257276886519155,
0.7338892263289756,
0.740384097339369,
0.7452123016830958,
0.7483738393601558,
0.749868710370549,
0.7496969147142756,
0.7478584523913355,
0.7443533234017286,
0.739181527745455,
0.7323430654225148,
0.7238379364329077,
0.713666140776634,
0.7018276784536936,
0.6883225494640866,
0.6731507538078126,
0.656312291484872,
0.6378071624952648,
0.6176353668389908,
0.59579690451605,
0.5722917755264426,
0.5471199798701685,
0.5202815175472276,
0.49177638855762007,
0.46160459290134587,
0.4297661305784048,
0.3962610015887971,
0.3610892059325228,
0.3242507436095815,
0.2857456146199737,
0.24557381896369918,
0.2037353566407578,
0.1602302276511499,
0.11505843199487523,
0.06821996967193372,
0.019714840682325624,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_6.35
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_6.35",
"line": {
"color": "#FF6692",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_6.35",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.025301753459574416,
0.07361779267362442,
0.12026716522100775,
0.16524987110172448,
0.20856591031577437,
0.25021528286315753,
0.29019798874387415,
0.32851402795792384,
0.36516340050530693,
0.4001461063860233,
0.4334621456000729,
0.46511151814745577,
0.4950942240281721,
0.5234102632422215,
0.5500596357896043,
0.5750423416703203,
0.5983583808843698,
0.6200077534317525,
0.6399904593124683,
0.6583064985265175,
0.6749558710739001,
0.6899385769546158,
0.7032546161686649,
0.7149039887160472,
0.7248866945967629,
0.7332027338108118,
0.7398521063581941,
0.7448348122389096,
0.7481508514529583,
0.7498002240003405,
0.7497829298810559,
0.7480989690951044,
0.7447483416424864,
0.7397310475232016,
0.73304708673725,
0.7246964592846319,
0.7146791651653469,
0.7029952043793953,
0.6896445769267769,
0.674627282807492,
0.65794332202154,
0.6395926945689216,
0.6195754004496364,
0.5978914396636845,
0.5745408122110658,
0.5495235180917805,
0.5228395573058284,
0.49448892985320975,
0.46447163573392414,
0.432787674947972,
0.39943704749535314,
0.36441975337606736,
0.3277357925901151,
0.2893851651374961,
0.2493678710182102,
0.2076839102322578,
0.16433328277963863,
0.11931598866035262,
0.07263202787440001,
0.02428140042178073,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_6.85
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_6.85",
"line": {
"color": "#B6E880",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_6.85",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.025893259939426483,
0.07418923693643792,
0.12081854726678243,
0.16578119093046034,
0.20907716792747158,
0.25070647825781606,
0.29066912192149374,
0.3289650989185049,
0.3655944092488492,
0.40055705291252675,
0.4338530299095378,
0.46548234023988194,
0.49544498390355934,
0.5237409609005701,
0.5503702712309142,
0.5753329148945916,
0.5986288918916022,
0.620258202221946,
0.6402208458856233,
0.6585168228826338,
0.6751461332129776,
0.6901087768766545,
0.703404753873665,
0.7150340642040085,
0.7249967078676854,
0.7332926848646957,
0.7399219951950391,
0.7448846388587159,
0.748180615855726,
0.7498099261860693,
0.7497725698497459,
0.7480685468467558,
0.744697857177099,
0.7396605008407755,
0.7329564778377853,
0.7245857881681284,
0.7145484318318047,
0.7028444088288144,
0.6894737191591572,
0.6744363628228334,
0.6577323398198429,
0.6393616501501856,
0.6193242938138618,
0.5976202708108711,
0.5742495811412137,
0.5492122248048896,
0.5225082018018988,
0.49413751213224133,
0.4641001557959172,
0.4323961327929261,
0.3990254431232685,
0.36398808678694416,
0.327284063783953,
0.2889133741142953,
0.2488760177779708,
0.2071719947749795,
0.1638013051053216,
0.11876394876899701,
0.0720599257660055,
0.023689236096347488,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_8.06
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_8.06",
"line": {
"color": "#FF97FF",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_8.06",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.01798693423194711,
0.0665503978854654,
0.11344719487231719,
0.15867732519250213,
0.20224078884602031,
0.24413758583287198,
0.2843677161530567,
0.3229311798065748,
0.35982797679342626,
0.3950581071136109,
0.42862157076712876,
0.46051836775398014,
0.49074849807416465,
0.5193119617276825,
0.5462087587145337,
0.571438889034718,
0.5950023526882356,
0.6168991496750866,
0.6371292799952708,
0.6556927436487884,
0.6725895406356391,
0.6878196709558233,
0.7013831346093408,
0.7132799315961914,
0.7235100619163753,
0.7320735255698927,
0.7389703225567432,
0.7442004528769269,
0.7477639165304442,
0.7496607135172945,
0.7498908438374782,
0.7484543074909952,
0.7453511044778454,
0.740581234798029,
0.7341446984515457,
0.7260414954383958,
0.7162716257585793,
0.7048350894120959,
0.6917318863989459,
0.6769620167191291,
0.6605254803726457,
0.6424222773594955,
0.6226524076796787,
0.601215871333195,
0.5781126683200448,
0.5533427986402277,
0.5269062622937439,
0.49880305928059343,
0.46903318960077633,
0.4375966532542924,
0.4044934502411418,
0.3697235805613245,
0.33328704421484057,
0.2951838412016897,
0.2554139715218723,
0.21397743517538817,
0.1708742321622372,
0.12610436248241966,
0.07966782613593543,
0.03156462312278427,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_8.95
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_8.95",
"line": {
"color": "#FECB52",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_8.95",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.02472975226737048,
0.07306518434910703,
0.11973394976417673,
0.16473604851257975,
0.20807148059431618,
0.24974024600938577,
0.2897423447577886,
0.3280777768395249,
0.3647465422545943,
0.399748641002997,
0.4330840730847331,
0.4647528384998025,
0.4947549372482051,
0.523090369329941,
0.5497591347450101,
0.5747612334934127,
0.5980966655751483,
0.6197654309902174,
0.6397675297386198,
0.6581029618203554,
0.6747717272354243,
0.6897738259838265,
0.7031092580655619,
0.7147780234806307,
0.7247801222290328,
0.7331155543107681,
0.7397843197258368,
0.7447864184742387,
0.7481218505559739,
0.7497906159710424,
0.7497927147194441,
0.7481281468011791,
0.7447969122162474,
0.7397990109646491,
0.733134443046384,
0.7248032084614522,
0.7148053072098537,
0.7031407392915885,
0.6898095047066566,
0.6748116034550579,
0.6581470355367924,
0.6398158009518604,
0.6198178997002615,
0.598153331781996,
0.5748220971970638,
0.5498241959454649,
0.5231596280271992,
0.4948283934422668,
0.46483049219066774,
0.43316592427240197,
0.3998346896874695,
0.36483678843587025,
0.32817222051760425,
0.2898409859326716,
0.2498430846810723,
0.2081785167628061,
0.1648472821778733,
0.11984938092627392,
0.07318481300800753,
0.0248535784230747,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_10.29
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_10.29",
"line": {
"color": "#636efa",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_10.29",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.003784420267579247,
0.05282478005772337,
0.10019847318120073,
0.14590549963801158,
0.1899458594281555,
0.23231955255163275,
0.2730265790084434,
0.3120669387985872,
0.3494406319220643,
0.3851476583788749,
0.4191880181690185,
0.4515617112924955,
0.48226873774930584,
0.5113090975394494,
0.5386827906629262,
0.5643898171197363,
0.5884301769098798,
0.6108038700333566,
0.6315108964901665,
0.6505512562803099,
0.6679249494037864,
0.6836319758605962,
0.6976723356507394,
0.7100460287742157,
0.7207530552310255,
0.7297934150211685,
0.7371671081446448,
0.7428741346014544,
0.7469144943915972,
0.7492881875150734,
0.7499952139718828,
0.7490355737620256,
0.7464092668855016,
0.7421162933423109,
0.7361566531324534,
0.7285303462559294,
0.7192373727127384,
0.7082777325028808,
0.6956514256263566,
0.6813584520831656,
0.6653988118733078,
0.6477725049967835,
0.6284795314535924,
0.6075198912437345,
0.58489358436721,
0.5606006108240186,
0.5346409706141606,
0.5070146637376359,
0.47772169019444455,
0.4467620499845864,
0.41413574310806156,
0.37984276956486995,
0.34388312935501164,
0.30625682247848673,
0.26696384893529496,
0.22600420872543658,
0.18337790184891153,
0.13908492830571956,
0.09312528809586107,
0.04549898121933582,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_10.59
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_10.59",
"line": {
"color": "#EF553B",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_10.59",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.006002014600164779,
0.054968212235166736,
0.1022677432035021,
0.14790060750517053,
0.1918668051401723,
0.23416633610850746,
0.27479920041017586,
0.31376539804517745,
0.3510649290135125,
0.38669779331518067,
0.4206639909501822,
0.45296352191851713,
0.48359638622018514,
0.5125625838551866,
0.5398621148235212,
0.5654949791251892,
0.5894611767601904,
0.611760707728525,
0.6323935720301928,
0.6513597696651938,
0.6686593006335282,
0.684292164935196,
0.6982583625701968,
0.7105578935385312,
0.7211907578401986,
0.7301569554751994,
0.7374564864435336,
0.743089350745201,
0.7470555483802016,
0.7493550793485356,
0.7499879436502028,
0.7489541412852034,
0.7462536722535371,
0.7418865365552043,
0.7358527341902047,
0.7281522651585384,
0.7187851294602053,
0.7077513270952056,
0.6950508580635391,
0.6806837223652059,
0.6646499200002061,
0.6469494509685395,
0.6275823152702061,
0.6065485129052061,
0.5838480438735394,
0.5594809081752059,
0.5334471058102057,
0.5057466367785388,
0.4763795010802052,
0.4453456987152049,
0.41264522968353784,
0.3782780939852042,
0.34224429162020364,
0.3045438225885364,
0.26517668689020263,
0.224142884525202,
0.18144241549353463,
0.13707527979520065,
0.09104147743019991,
0.043341008398532416,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_11.94
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_11.94",
"line": {
"color": "#00cc96",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_11.94",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.03189521089007302,
0.07998715354335506,
0.12641242952997042,
0.1711710388499192,
0.2142629815032011,
0.2556882574898163,
0.29544686680976495,
0.3335388094630467,
0.36996408544966175,
0.4047226947696102,
0.43781463742289184,
0.46923991340950677,
0.4989985227294551,
0.5270904653827366,
0.5535157413693514,
0.5782743506892996,
0.601366293342581,
0.6227915693291957,
0.6425501786491435,
0.6606421213024248,
0.6770673972890394,
0.6918260066089872,
0.7049179492622684,
0.7163432252488827,
0.7261018345688304,
0.7341937772221113,
0.7406190532087256,
0.7453776625286731,
0.7484696051819539,
0.7498948811685682,
0.7496534904885155,
0.7477454331417961,
0.7441707091284101,
0.7389293184483574,
0.7320212611016379,
0.7234465370882517,
0.7132051464081988,
0.7012970890614794,
0.6877223650480929,
0.6724809743680399,
0.6555729170213203,
0.6369981930079337,
0.6167568023278805,
0.5948487449811607,
0.571274020967774,
0.5460326302877208,
0.5191245729410007,
0.490549848927614,
0.46030845824756045,
0.4284004009008403,
0.3948256768874535,
0.3595842862073998,
0.3226762288606796,
0.2841015048472926,
0.24386011416723877,
0.2019520568205183,
0.15837733280713118,
0.1131359421270772,
0.06622788478035671,
0.01765316076696946,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_12.92
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_12.92",
"line": {
"color": "#ab63fa",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_12.92",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.03791377630924969,
0.08580026179368194,
0.13202008061144743,
0.17657323276254608,
0.2194597182469783,
0.2606795370647435,
0.3002326892158421,
0.33811917470027414,
0.37433899351803923,
0.40889214566913773,
0.44177863115356947,
0.47299844997133456,
0.5025516021224328,
0.5304380876068645,
0.5566579064246294,
0.5812110585757275,
0.604097544060159,
0.6253173628779238,
0.6448705150290219,
0.6627570005134532,
0.6789768193312178,
0.6935299714823158,
0.7064164569667469,
0.7176362757845114,
0.7271894279356091,
0.7350759134200402,
0.7412957322378045,
0.7458488843889022,
0.7487353698733331,
0.7499551886910973,
0.7495083408421948,
0.7473948263266255,
0.7436146451443896,
0.7381677972954869,
0.7310542827799176,
0.7222741015976815,
0.7118272537487786,
0.6997137392332091,
0.6859335580509729,
0.67048671020207,
0.6533731956865003,
0.634593014504264,
0.6141461666553608,
0.5920326521397911,
0.5682524709575545,
0.5428056231086513,
0.5156921085930813,
0.48691192741084466,
0.4564650795619413,
0.4243515650463712,
0.39057138386413437,
0.3551245360152309,
0.31801102149966065,
0.27923084031742373,
0.23878399246852008,
0.19667047795294967,
0.15289029677071259,
0.1074434489218089,
0.060329934406238295,
0.011549753224001091,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_14.23
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_14.23",
"line": {
"color": "#FFA15A",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_14.23",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.03617597302878256,
0.08412187116989389,
0.13040110264433846,
0.17501366745211652,
0.21795956559322766,
0.25923879706767217,
0.29885136187545003,
0.3367972600165611,
0.3730764914910054,
0.40768905629878316,
0.4406349544398941,
0.4719141859143383,
0.5015267507221158,
0.5294726488632266,
0.5557518803376706,
0.580364445145448,
0.6033103432865587,
0.6245895747610027,
0.64420213956878,
0.6621480377098905,
0.6784272691843343,
0.6930398339921113,
0.7059857321332217,
0.7172649636076653,
0.7268775284154423,
0.7348234265565525,
0.7411026580309961,
0.7457152228387729,
0.748661120979883,
0.7499403524543264,
0.749552917262103,
0.7474988154032131,
0.7437780468776563,
0.7383906116854327,
0.7313365098265425,
0.7226157413009857,
0.7122283061087621,
0.7001742042498718,
0.6864534357243146,
0.6710660005320909,
0.6540118986732004,
0.6352911301476432,
0.6149036949554194,
0.5928495930965287,
0.5691288245709714,
0.5437413893787474,
0.5166872875198567,
0.48796651899429916,
0.4575790838020749,
0.42552498194318406,
0.39180421341762645,
0.3564167782254021,
0.31936267636651106,
0.28064190784095333,
0.24025447264872873,
0.19820037078983765,
0.15447960226427981,
0.10909216707205505,
0.06203806521316377,
0.013317296687605812,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_14.78
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_14.78",
"line": {
"color": "#19d3f3",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_14.78",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.009955865847341844,
0.05878956162295504,
0.1059565907319013,
0.1514569531741809,
0.1952906489497939,
0.23745767805874005,
0.2779580405010195,
0.3167917362766324,
0.35395876538557836,
0.38945912782785763,
0.4232928236034704,
0.45545985271241624,
0.4859602151546954,
0.5147939109303079,
0.5419609400392538,
0.5674613024815328,
0.5912949982571452,
0.6134620273660908,
0.6339623898083697,
0.6527960855839818,
0.6699631146929274,
0.6854634771352062,
0.6992971729108183,
0.7114642020197636,
0.7219645644620423,
0.7307982602376542,
0.7379652893465993,
0.7434656517888778,
0.7472993475644896,
0.7494663766734346,
0.749966739115713,
0.7488004348913246,
0.7459674640002696,
0.7414678264425478,
0.7353015222181594,
0.7274685513271041,
0.7179689137693821,
0.7068026095449934,
0.693969638653938,
0.679470001096216,
0.6633036968718272,
0.6454707259807717,
0.6259710884230495,
0.6048047841986606,
0.5819718133076048,
0.5574721757498826,
0.5313058715254935,
0.5034729006344377,
0.4739732630767152,
0.4428069588523259,
0.40997398796127,
0.3754743504035475,
0.339308046179158,
0.3014750752881019,
0.26197543773037923,
0.2208091335059896,
0.17797616261493346,
0.13347652505721055,
0.0873102208328208,
0.03947724994176455,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_15.97
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_15.97",
"line": {
"color": "#FF6692",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_15.97",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.017143715799412207,
0.06573562177423684,
0.11266086108239495,
0.15791943372388623,
0.20151133969871074,
0.24343657900686874,
0.2836951516483598,
0.3222870576231843,
0.3592122969313421,
0.39447086957283306,
0.42806277554765737,
0.45998801485581503,
0.4902465874973059,
0.51883849347213,
0.5457637327802874,
0.5710223054217782,
0.5946142113966022,
0.6165394507047595,
0.6367980233462501,
0.655389929321074,
0.6723151686292311,
0.6875737412707216,
0.7011656472455453,
0.7130908865537023,
0.7233494591951927,
0.7319413651700163,
0.7388666044781731,
0.7441251771196633,
0.7477170830944868,
0.7496423224026435,
0.7499008950441336,
0.7484928010189569,
0.7454180403271135,
0.7406766129686033,
0.7342685189434265,
0.7261937582515829,
0.7164523308930727,
0.7050442368678957,
0.6919694761760521,
0.6772280488175416,
0.6608199547923646,
0.6427451941005207,
0.6230037667420101,
0.6015956727168329,
0.5785209120249889,
0.5537794846664782,
0.5273713906413009,
0.49929662994945667,
0.46955520259094585,
0.43814710856576833,
0.4050723478739241,
0.3703309205154131,
0.3339228264902355,
0.295848065798391,
0.2561066384398799,
0.21469854441470212,
0.1716237837228575,
0.12688235636434628,
0.08047426233916838,
0.032399501647323636,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_16.82
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_16.82",
"line": {
"color": "#B6E880",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_16.82",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.03730991851239138,
0.08521705711931268,
0.13145752905956748,
0.17603133433315543,
0.2189384729400767,
0.26017894488033133,
0.2997527501539191,
0.3376598887608402,
0.37390036070109467,
0.40847416597468245,
0.4413813045816033,
0.47262177652185766,
0.5021955817954453,
0.5301027204023661,
0.5563431923426202,
0.5809169976162076,
0.6038241362231284,
0.6250646081633823,
0.6446384134369696,
0.6625455520438902,
0.6787860239841441,
0.6933598292577312,
0.7062669678646516,
0.7175074398049053,
0.7270812450784923,
0.7349883836854125,
0.7412288556256661,
0.745802660899253,
0.7487097995061731,
0.7499502714464266,
0.7495240767200133,
0.7474312153269332,
0.7436716872671866,
0.7382454925407731,
0.731152631147693,
0.722393103087946,
0.7119669083615325,
0.6998740469684522,
0.6861145189087052,
0.6706883241822916,
0.6535954627892111,
0.6348359347294639,
0.6144097400030502,
0.5923168786099695,
0.5685573505502223,
0.5431311558238082,
0.5160382944307276,
0.48727876637098005,
0.45685257164456594,
0.4247597102514852,
0.39100018219173743,
0.3555739874653233,
0.3184811260722423,
0.27972159801249447,
0.23929540328608012,
0.19720254189299902,
0.15344301383325107,
0.10801681910683653,
0.060923957713755306,
0.012164429654007242,
0
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_18.01
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_18.01",
"line": {
"color": "#FF97FF",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_18.01",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.04508006448302898,
0.09272077697207326,
0.13869482279445078,
0.18300220195016179,
0.22564291443920595,
0.2666169602615833,
0.30592433941729413,
0.3435650519063381,
0.3795390977287154,
0.4138464768844261,
0.44648718937347,
0.47746123519584716,
0.5067686143515576,
0.5344093268406014,
0.5603833726629783,
0.5846907518186887,
0.6073314643077323,
0.6283055101301092,
0.6476128892858194,
0.6652536017748629,
0.6812276475972396,
0.6955350267529496,
0.708175739241993,
0.7191497850643696,
0.7284571642200794,
0.7360978767091226,
0.7420719225314991,
0.7463793016872089,
0.749020014176252,
0.7499940599986282,
0.7493014391543378,
0.7469421516433807,
0.7429161974657569,
0.7372235766214663,
0.7298642891105092,
0.7208383349328851,
0.7101457140885945,
0.6977864265776371,
0.683760472400013,
0.6680678515557221,
0.6507085640447646,
0.6316826098671404,
0.6109899890228494,
0.5886307015118917,
0.5646047473342672,
0.5389121264899763,
0.5115528389790185,
0.48252688480139394,
0.45183426395710263
],
"yaxis": "y"
},
{
"hovertemplate": "variable=x_value_19.12
kernel_x=%{x}
value=%{y}",
"legendgroup": "x_value_19.12",
"line": {
"color": "#FECB52",
"dash": "solid"
},
"mode": "lines",
"name": "x_value_19.12",
"showlegend": true,
"type": "scattergl",
"x": [
-20,
-19.9,
-19.799999999999997,
-19.699999999999996,
-19.599999999999994,
-19.499999999999993,
-19.39999999999999,
-19.29999999999999,
-19.19999999999999,
-19.099999999999987,
-18.999999999999986,
-18.899999999999984,
-18.799999999999983,
-18.69999999999998,
-18.59999999999998,
-18.49999999999998,
-18.399999999999977,
-18.299999999999976,
-18.199999999999974,
-18.099999999999973,
-17.99999999999997,
-17.89999999999997,
-17.79999999999997,
-17.699999999999967,
-17.599999999999966,
-17.499999999999964,
-17.399999999999963,
-17.29999999999996,
-17.19999999999996,
-17.09999999999996,
-16.999999999999957,
-16.899999999999956,
-16.799999999999955,
-16.699999999999953,
-16.59999999999995,
-16.49999999999995,
-16.39999999999995,
-16.299999999999947,
-16.199999999999946,
-16.099999999999945,
-15.999999999999943,
-15.899999999999942,
-15.79999999999994,
-15.699999999999939,
-15.599999999999937,
-15.499999999999936,
-15.399999999999935,
-15.299999999999933,
-15.199999999999932,
-15.09999999999993,
-14.999999999999929,
-14.899999999999928,
-14.799999999999926,
-14.699999999999925,
-14.599999999999923,
-14.499999999999922,
-14.39999999999992,
-14.299999999999919,
-14.199999999999918,
-14.099999999999916,
-13.999999999999915,
-13.899999999999913,
-13.799999999999912,
-13.69999999999991,
-13.599999999999909,
-13.499999999999908,
-13.399999999999906,
-13.299999999999905,
-13.199999999999903,
-13.099999999999902,
-12.9999999999999,
-12.899999999999899,
-12.799999999999898,
-12.699999999999896,
-12.599999999999895,
-12.499999999999893,
-12.399999999999892,
-12.29999999999989,
-12.19999999999989,
-12.099999999999888,
-11.999999999999886,
-11.899999999999885,
-11.799999999999883,
-11.699999999999882,
-11.59999999999988,
-11.49999999999988,
-11.399999999999878,
-11.299999999999876,
-11.199999999999875,
-11.099999999999874,
-10.999999999999872,
-10.89999999999987,
-10.79999999999987,
-10.699999999999868,
-10.599999999999866,
-10.499999999999865,
-10.399999999999864,
-10.299999999999862,
-10.19999999999986,
-10.09999999999986,
-9.999999999999858,
-9.899999999999856,
-9.799999999999855,
-9.699999999999854,
-9.599999999999852,
-9.49999999999985,
-9.39999999999985,
-9.299999999999848,
-9.199999999999847,
-9.099999999999845,
-8.999999999999844,
-8.899999999999842,
-8.79999999999984,
-8.69999999999984,
-8.599999999999838,
-8.499999999999837,
-8.399999999999835,
-8.299999999999834,
-8.199999999999832,
-8.099999999999831,
-7.9999999999998295,
-7.899999999999828,
-7.799999999999827,
-7.699999999999825,
-7.599999999999824,
-7.499999999999822,
-7.399999999999821,
-7.2999999999998195,
-7.199999999999818,
-7.099999999999817,
-6.999999999999815,
-6.899999999999814,
-6.799999999999812,
-6.699999999999811,
-6.59999999999981,
-6.499999999999808,
-6.399999999999807,
-6.299999999999805,
-6.199999999999804,
-6.0999999999998025,
-5.999999999999801,
-5.8999999999998,
-5.799999999999798,
-5.699999999999797,
-5.599999999999795,
-5.499999999999794,
-5.3999999999997925,
-5.299999999999791,
-5.19999999999979,
-5.099999999999788,
-4.999999999999787,
-4.899999999999785,
-4.799999999999784,
-4.699999999999783,
-4.599999999999781,
-4.49999999999978,
-4.399999999999778,
-4.299999999999777,
-4.1999999999997755,
-4.099999999999774,
-3.9999999999997726,
-3.899999999999771,
-3.79999999999977,
-3.6999999999997684,
-3.599999999999767,
-3.4999999999997655,
-3.399999999999764,
-3.2999999999997627,
-3.1999999999997613,
-3.09999999999976,
-2.9999999999997584,
-2.899999999999757,
-2.7999999999997556,
-2.699999999999754,
-2.5999999999997527,
-2.4999999999997513,
-2.39999999999975,
-2.2999999999997485,
-2.199999999999747,
-2.0999999999997456,
-1.9999999999997442,
-1.8999999999997428,
-1.7999999999997414,
-1.69999999999974,
-1.5999999999997385,
-1.499999999999737,
-1.3999999999997357,
-1.2999999999997343,
-1.1999999999997328,
-1.0999999999997314,
-0.99999999999973,
-0.8999999999997286,
-0.7999999999997272,
-0.6999999999997257,
-0.5999999999997243,
-0.4999999999997229,
-0.39999999999972147,
-0.29999999999972005,
-0.19999999999971863,
-0.0999999999997172,
2.8421709430404007e-13,
0.10000000000028564,
0.20000000000028706,
0.3000000000002885,
0.4000000000002899,
0.5000000000002913,
0.6000000000002927,
0.7000000000002942,
0.8000000000002956,
0.900000000000297,
1.0000000000002984,
1.1000000000002998,
1.2000000000003013,
1.3000000000003027,
1.4000000000003041,
1.5000000000003055,
1.600000000000307,
1.7000000000003084,
1.8000000000003098,
1.9000000000003112,
2.0000000000003126,
2.100000000000314,
2.2000000000003155,
2.300000000000317,
2.4000000000003183,
2.5000000000003197,
2.600000000000321,
2.7000000000003226,
2.800000000000324,
2.9000000000003254,
3.000000000000327,
3.1000000000003283,
3.2000000000003297,
3.300000000000331,
3.4000000000003325,
3.500000000000334,
3.6000000000003354,
3.700000000000337,
3.800000000000338,
3.9000000000003396,
4.000000000000341,
4.1000000000003425,
4.200000000000344,
4.300000000000345,
4.400000000000347,
4.500000000000348,
4.60000000000035,
4.700000000000351,
4.800000000000352,
4.900000000000354,
5.000000000000355,
5.100000000000357,
5.200000000000358,
5.3000000000003595,
5.400000000000361,
5.500000000000362,
5.600000000000364,
5.700000000000365,
5.800000000000367,
5.900000000000368,
6.0000000000003695,
6.100000000000371,
6.200000000000372,
6.300000000000374,
6.400000000000375,
6.500000000000377,
6.600000000000378,
6.700000000000379,
6.800000000000381,
6.900000000000382,
7.000000000000384,
7.100000000000385,
7.2000000000003865,
7.300000000000388,
7.400000000000389,
7.500000000000391,
7.600000000000392,
7.700000000000394,
7.800000000000395,
7.9000000000003965,
8.000000000000398,
8.1000000000004,
8.2000000000004,
8.300000000000402,
8.400000000000404,
8.500000000000405,
8.600000000000406,
8.700000000000408,
8.80000000000041,
8.90000000000041,
9.000000000000412,
9.100000000000414,
9.200000000000415,
9.300000000000416,
9.400000000000418,
9.50000000000042,
9.60000000000042,
9.700000000000422,
9.800000000000423,
9.900000000000425,
10.000000000000426,
10.100000000000428,
10.20000000000043,
10.30000000000043,
10.400000000000432,
10.500000000000433,
10.600000000000435,
10.700000000000436,
10.800000000000438,
10.90000000000044,
11.00000000000044,
11.100000000000442,
11.200000000000443,
11.300000000000445,
11.400000000000446,
11.500000000000448,
11.600000000000449,
11.70000000000045,
11.800000000000452,
11.900000000000453,
12.000000000000455,
12.100000000000456,
12.200000000000458,
12.300000000000459,
12.40000000000046,
12.500000000000462,
12.600000000000463,
12.700000000000465,
12.800000000000466,
12.900000000000468,
13.000000000000469,
13.10000000000047,
13.200000000000472,
13.300000000000473,
13.400000000000475,
13.500000000000476,
13.600000000000477,
13.700000000000479,
13.80000000000048,
13.900000000000482,
14.000000000000483,
14.100000000000485,
14.200000000000486,
14.300000000000487,
14.400000000000489,
14.50000000000049,
14.600000000000492,
14.700000000000493,
14.800000000000495,
14.900000000000496,
15.000000000000497,
15.100000000000499,
15.2000000000005,
15.300000000000502,
15.400000000000503,
15.500000000000504,
15.600000000000506,
15.700000000000507,
15.800000000000509,
15.90000000000051,
16.00000000000051,
16.100000000000513,
16.200000000000514,
16.300000000000516,
16.400000000000517,
16.50000000000052,
16.60000000000052,
16.70000000000052,
16.800000000000523,
16.900000000000524,
17.000000000000526,
17.100000000000527,
17.20000000000053,
17.30000000000053,
17.40000000000053,
17.500000000000533,
17.600000000000534,
17.700000000000536,
17.800000000000537,
17.90000000000054,
18.00000000000054,
18.10000000000054,
18.200000000000543,
18.300000000000544,
18.400000000000546,
18.500000000000547,
18.60000000000055,
18.70000000000055,
18.80000000000055,
18.900000000000553,
19.000000000000554,
19.100000000000556,
19.200000000000557,
19.30000000000056,
19.40000000000056,
19.50000000000056,
19.600000000000563,
19.700000000000564,
19.800000000000566,
19.900000000000567
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0.04113833480897866,
0.08891438552135675,
0.13502376956706816,
0.17946648694611297,
0.22224253765849095,
0.2633519217042022,
0.3027946390832469,
0.34057068979562466,
0.3766800738413357,
0.4111227912203803,
0.44389884193275797,
0.47500822597846887,
0.5044509433575133,
0.5322269940698908,
0.5583363781156017,
0.5827790954946458,
0.6055551462070232,
0.6266645302527339,
0.646107247631778,
0.6638832983441553,
0.6799926823898659,
0.6944353997689097,
0.7072114504812869,
0.7183208345269974,
0.727763551906041,
0.735539602618418,
0.7416489866641283,
0.7460917040431718,
0.7488677547555487,
0.7499771388012588,
0.7494198561803023,
0.747195906892679,
0.743305290938389,
0.7377480083174324,
0.7305240590298089,
0.7216334430755188,
0.7110761604545619,
0.6988522111669384
],
"yaxis": "y"
}
],
"layout": {
"legend": {
"title": {
"text": "variable"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Gaussian for all input points"
},
"xaxis": {
"anchor": "y",
"domain": [
0,
1
],
"range": [
-5,
20
],
"title": {
"text": "kernel_x"
}
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"title": {
"text": "value"
}
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"kernel_x = np.arange(-20,20,0.1)\n",
"## Plotting gaussian for all input x points \n",
"kernel_fns = {'kernel_x': kernel_x}\n",
"for input_x in new_x: \n",
" input_string= 'x_value_{}'.format(np.round(input_x,2)) \n",
" kernel_fns[input_string] = epanechnikov_list(bw_manual, kernel_x, input_x)\n",
"\n",
"kernels_df = pd.DataFrame(data=kernel_fns)\n",
"y_all = kernels_df.drop(columns='kernel_x')\n",
"px.line(kernels_df, x='kernel_x', y=y_all.columns, title='Gaussian for all input points', range_x=[-5,20])"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.75\n",
"0.7245362220487647\n",
"0.544723374613922\n",
"0.24547972278828456\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.7245362220487647\n",
"0.75\n",
"0.6638572233017156\n",
"0.4467050915628227\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.544723374613922\n",
"0.6638572233017156\n",
"0.75\n",
"0.6838372168982741\n",
"0.3172878295848327\n",
"0.16685392672748403\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.24547972278828456\n",
"0.4467050915628227\n",
"0.6838372168982741\n",
"0.75\n",
"0.589529783309622\n",
"0.49354005688658215\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.3172878295848327\n",
"0.589529783309622\n",
"0.75\n",
"0.7387997140966217\n",
"0.3554618855656637\n",
"0.15384187025557097\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.16685392672748403\n",
"0.49354005688658215\n",
"0.7387997140966217\n",
"0.75\n",
"0.47721181111671457\n",
"0.3060691401285782\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.3554618855656637\n",
"0.47721181111671457\n",
"0.75\n",
"0.729266857004094\n",
"0.5049420855397245\n",
"0.18616233928180906\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.15384187025557097\n",
"0.3060691401285782\n",
"0.729266857004094\n",
"0.75\n",
"0.6267686953884891\n",
"0.3816709762096485\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.5049420855397245\n",
"0.6267686953884891\n",
"0.75\n",
"0.6845366846267166\n",
"0.33610672268335007\n",
"0.2190496587316103\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.18616233928180906\n",
"0.3816709762096485\n",
"0.6845366846267166\n",
"0.75\n",
"0.5998535295351387\n",
"0.5264550582594569\n",
"0.007286896723078945\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.33610672268335007\n",
"0.5998535295351387\n",
"0.75\n",
"0.7427208364578497\n",
"0.5250199094736663\n",
"0.1732551784801908\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.2190496587316103\n",
"0.5264550582594569\n",
"0.7427208364578497\n",
"0.75\n",
"0.5986769398788213\n",
"0.2955633581152344\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.007286896723078945\n",
"0.5250199094736663\n",
"0.5986769398788213\n",
"0.75\n",
"0.668708574560694\n",
"0.31251929174672033\n",
"0.07573251993303509\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.1732551784801908\n",
"0.2955633581152344\n",
"0.668708574560694\n",
"0.75\n",
"0.6083932431707011\n",
"0.46268105255802106\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.31251929174672033\n",
"0.6083932431707011\n",
"0.75\n",
"0.7244912231022096\n",
"0.4980593356571671\n",
"0.18767396386514232\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.07573251993303509\n",
"0.46268105255802106\n",
"0.7244912231022096\n",
"0.75\n",
"0.6328839389171269\n",
"0.4017001480864578\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.4980593356571671\n",
"0.6328839389171269\n",
"0.75\n",
"0.6885222344066844\n",
"0.40220363248716107\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.18767396386514232\n",
"0.4017001480864578\n",
"0.6885222344066844\n",
"0.75\n",
"0.6331758185516356\n",
"0.31217653303032067\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.40220363248716107\n",
"0.6331758185516356\n",
"0.75\n",
"0.6476724512795832\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0.31217653303032067\n",
"0.6476724512795832\n",
"0.75\n"
]
}
],
"source": [
"Y_pred = []\n",
"for input_x in new_x: \n",
" w = []\n",
" Y_single = single_y_pred_epanechnikov(bw_manual, input_x, new_x,fun_y(new_x))\n",
" Y_pred.append(Y_single)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "x=%{x}
y=%{y}",
"legendgroup": "",
"marker": {
"color": "#636efa",
"symbol": "circle"
},
"mode": "markers",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
0.32486907273264837,
0.877648717269985,
1.894365649547309,
2.785406275568766,
4.173081525864935,
4.539692260623943,
6.348962352843296,
6.847758619820979,
8.06380781921142,
8.950125924904517,
10.292421587408995,
10.587971858100468,
11.935516559197298,
12.923189129066317,
14.226753888467087,
14.780021746537194,
15.965514358489912,
16.824428316415727,
18.008442749343118,
19.116563042743163
],
"xaxis": "x",
"y": [
-2.2012383544258425,
1.2894474196792283,
-2.196818558814409,
-7.995011322196263,
-14.198288101471176,
-26.367455718348666,
-36.2457804510373,
-50.87153886851814,
-64.53577615925204,
-79.93928906652363,
-101.38332150345062,
-121.79350705371195,
-145.3743454002392,
-170.69041128299745,
-197.34249226167364,
-225.0253291978378,
-258.23462069727054,
-288.5311686043658,
-320.68039564578027,
-359.5159116788453
],
"yaxis": "y"
},
{
"mode": "lines",
"name": "Manual KR",
"type": "scatter",
"x": [
0.32486907273264837,
0.877648717269985,
1.894365649547309,
2.785406275568766,
4.173081525864935,
4.539692260623943,
6.348962352843296,
6.847758619820979,
8.06380781921142,
8.950125924904517,
10.292421587408995,
10.587971858100468,
11.935516559197298,
12.923189129066317,
14.226753888467087,
14.780021746537194,
15.965514358489912,
16.824428316415727,
18.008442749343118,
19.116563042743163
],
"y": [
-1.4393712235577074,
-1.8312876316356752,
-4.741959647476306,
-8.171828992098842,
-18.730716324158784,
-22.48147567395352,
-43.234234859768634,
-49.713513883872935,
-68.91799797356666,
-81.37269344809906,
-108.26262935178278,
-113.75208267540171,
-144.79939813027568,
-168.89979923403286,
-207.64341590505646,
-222.04011313608845,
-254.49219016511444,
-279.77583578757856,
-311.8777528558017,
-332.82511937314246
]
}
],
"layout": {
"legend": {
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"xaxis": {
"anchor": "y",
"domain": [
0,
1
],
"title": {
"text": "x"
}
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"title": {
"text": "y"
}
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data= {'x': new_x, 'y': fun_y(new_x), 'y_manual': np.array(y_all)}\n",
"fig = px.scatter(x=new_x,y=fun_y(x))\n",
"#fig.add_trace(go.Scatter(x=new_x, y=pred_y, name='Statsmodel KR', mode='lines'))\n",
"fig.add_trace(go.Scatter(x=new_x, y=np.array(Y_pred), name='Manual KR', mode='lines'))"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"fires_thefts = pd.read_csv('fires_thefts.csv', names=['x','y'])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "x=%{x}
y=%{y}",
"legendgroup": "",
"marker": {
"color": "#636efa",
"symbol": "circle"
},
"mode": "markers",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
2,
2.2,
2.2,
2.5,
3.4,
3.6,
4,
4.8,
5,
5.4,
5.6,
5.7,
6.2,
6.9,
7.2,
7.3,
7.7,
8.6,
9,
9.5,
10.5,
10.5,
10.7,
10.8,
11,
11.3,
11.9,
12.2,
15.1,
15.1,
16.5,
17.4,
18.4,
18.5,
21.6,
21.8,
23.3,
28.6,
29.1,
34.1,
36.2,
39.7
],
"xaxis": "x",
"y": [
29,
44,
36,
37,
53,
68,
75,
18,
31,
25,
34,
14,
11,
11,
22,
16,
27,
9,
29,
30,
40,
32,
41,
147,
22,
29,
46,
23,
4,
31,
39,
15,
32,
27,
32,
34,
17,
46,
42,
43,
34,
19
],
"yaxis": "y"
},
{
"mode": "lines",
"name": "Manual KR",
"type": "scatter",
"x": [
2,
2.2,
2.2,
2.5,
3.4,
3.6,
4,
4.8,
5,
5.4,
5.6,
5.7,
6.2,
6.9,
7.2,
7.3,
7.7,
8.6,
9,
9.5,
10.5,
10.5,
10.7,
10.8,
11,
11.3,
11.9,
12.2,
15.1,
15.1,
16.5,
17.4,
18.4,
18.5,
21.6,
21.8,
23.3,
28.6,
29.1,
34.1,
36.2,
39.7
],
"y": [
40.60522193211489,
42.906735751295344,
42.906735751295344,
45.475965665236046,
47.88163586315376,
47.36513545347468,
44.69143968871595,
35.57015985790409,
33.00458069062721,
26.67335445265752,
23.782277604707524,
22.931872646353987,
20.29078947368421,
18.735976065818996,
18.18740157480315,
18.09105560032232,
18.58231707317073,
22.05865102639296,
30.42289498580888,
39.834529505582125,
46.968340262232175,
46.968340262232175,
47.52639949109415,
47.59961807765755,
47.821312540610776,
47.55285376561972,
45.99255275134465,
44.34367056431114,
21.86852589641434,
21.86852589641434,
24.676672384219554,
27.406779661016948,
26.00527240773287,
25.744897959183675,
31.037486218302085,
30.120494335736353,
23.763848396501462,
44.064516129032256,
43.935483870967744,
43,
34,
19
]
}
],
"layout": {
"legend": {
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"xaxis": {
"anchor": "y",
"domain": [
0,
1
],
"title": {
"text": "x"
}
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"title": {
"text": "y"
}
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"XXX = np.sort(np.array(fires_thefts.x))\n",
"YYY = np.array(fires_thefts.y)\n",
"\n",
"Y_pred = KernelRegression.ker_reg(XXX, YYY, 2, 'gauss')\n",
"\n",
"fig = px.scatter(x=XXX,y=YYY)\n",
"fig.add_trace(go.Scatter(x=XXX, y=np.array(Y_pred), name='Manual KR', mode='lines'))"
]
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.8"
}
},
"nbformat": 4,
"nbformat_minor": 4
}