polynomial_regression/05_Regresja_wielomianowa.ipynb
2022-06-18 17:22:26 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Regresja wielomianowa"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"slideshow": {
"slide_type": "notes"
}
},
"outputs": [],
"source": [
"import ipywidgets as widgets\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"slideshow": {
"slide_type": "notes"
}
},
"outputs": [],
"source": [
"# Przydatne funkcje\n",
"\n",
"def cost(theta, X, y):\n",
" \"\"\"Wersja macierzowa funkcji kosztu\"\"\"\n",
" m = len(y)\n",
" J = 1.0 / (2.0 * m) * ((X * theta - y).T * (X * theta - y))\n",
" return J.item()\n",
"\n",
"def gradient(theta, X, y):\n",
" \"\"\"Wersja macierzowa gradientu funkcji kosztu\"\"\"\n",
" return 1.0 / len(y) * (X.T * (X * theta - y)) \n",
"\n",
"def gradient_descent(fJ, fdJ, theta, X, y, alpha=0.1, eps=10**-7):\n",
" \"\"\"Algorytm gradientu prostego (wersja macierzowa)\"\"\"\n",
" current_cost = fJ(theta, X, y)\n",
" logs = [[current_cost, theta]]\n",
" while True:\n",
" theta = theta - alpha * fdJ(theta, X, y)\n",
" current_cost, prev_cost = fJ(theta, X, y), current_cost\n",
" if abs(prev_cost - current_cost) > 10**15:\n",
" print('Algorithm does not converge!')\n",
" break\n",
" if abs(prev_cost - current_cost) <= eps:\n",
" break\n",
" logs.append([current_cost, theta]) \n",
" return theta, logs\n",
"\n",
"def plot_data(X, y, xlabel, ylabel):\n",
" \"\"\"Wykres danych (wersja macierzowa)\"\"\"\n",
" fig = plt.figure(figsize=(16*.6, 9*.6))\n",
" ax = fig.add_subplot(111)\n",
" fig.subplots_adjust(left=0.1, right=0.9, bottom=0.1, top=0.9)\n",
" ax.scatter([X[:, 1]], [y], c='r', s=50, label='Dane')\n",
" \n",
" ax.set_xlabel(xlabel)\n",
" ax.set_ylabel(ylabel)\n",
" ax.margins(.05, .05)\n",
" plt.ylim(y.min() - 1, y.max() + 1)\n",
" plt.xlim(np.min(X[:, 1]) - 1, np.max(X[:, 1]) + 1)\n",
" return fig\n",
"\n",
"def plot_fun(fig, fun, X):\n",
" \"\"\"Wykres funkcji `fun`\"\"\"\n",
" ax = fig.axes[0]\n",
" x0 = np.min(X[:, 1]) - 1.0\n",
" x1 = np.max(X[:, 1]) + 1.0\n",
" Arg = np.arange(x0, x1, 0.1)\n",
" Val = fun(Arg)\n",
" return ax.plot(Arg, Val, linewidth='2')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def MSE(Y_true, Y_pred):\n",
" return np.square(np.subtract(Y_true,Y_pred)).mean()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"source": [
"# Funkcja regresji wielomianowej\n",
"\n",
"def h_poly(Theta, x):\n",
" \"\"\"Funkcja wielomianowa\"\"\"\n",
" return sum(theta * np.power(x, i) for i, theta in enumerate(Theta.tolist()))\n",
"\n",
"def get_poly_data(data, deg):\n",
" m, n_plus_1 = data.shape\n",
" n = n_plus_1 - 1\n",
"\n",
" X1 = data[:, 0:n]\n",
" X1 /= np.amax(X1, axis=0)\n",
"\n",
" Xs = [np.ones((m, 1)), X1]\n",
"\n",
" for i in range(2, deg+1):\n",
" Xn = np.power(X1, i)\n",
" Xn /= np.amax(Xn, axis=0)\n",
" Xs.append(Xn)\n",
"\n",
" X = np.matrix(np.concatenate(Xs, axis=1)).reshape(m, deg * n + 1)\n",
"\n",
" y = np.matrix(data[:, -1]).reshape(m, 1)\n",
"\n",
" return X, y\n",
"\n",
"\n",
"def polynomial_regression(X, y, n):\n",
" \"\"\"Funkcja regresji wielomianowej\"\"\"\n",
" theta_start = np.matrix([0] * (n+1)).reshape(n+1, 1)\n",
" theta, logs = gradient_descent(cost, gradient, theta_start, X, y)\n",
" return lambda x: h_poly(theta, x)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def predict_values(model, data, n):\n",
" x, y = get_poly_data(np.array(data), n)\n",
" preprocessed_x = []\n",
" for i in x:\n",
" preprocessed_x.append(i.item(1))\n",
" return y, model(preprocessed_x), MSE(y, model(preprocessed_x))\n",
"\n",
"def plot_and_mse(data, data_test, n):\n",
" x, y = get_poly_data(np.array(data), n)\n",
" model = polynomial_regression(x, y, n)\n",
" \n",
" fig = plot_data(x, y, xlabel='x', ylabel='y')\n",
" plot_fun(fig, polynomial_regression(x, y, n), x)\n",
"\n",
" y_true, Y_pred, mse = predict_values(model, data_test, n)\n",
" print(f'Wielomian {n} stopnia, MSE = {mse}')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"slideshow": {
"slide_type": "notes"
}
},
"outputs": [
{
"data": {
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>sqrMetres</th>\n",
" <th>price</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>470</th>\n",
" <td>40</td>\n",
" <td>1140000.0</td>\n",
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" <th>1171</th>\n",
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" <td>375606.0</td>\n",
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" <th>...</th>\n",
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" <tr>\n",
" <th>356</th>\n",
" <td>53</td>\n",
" <td>339200.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>160</th>\n",
" <td>44</td>\n",
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"<p>1674 rows × 2 columns</p>\n",
"</div>"
],
"text/plain": [
" sqrMetres price\n",
"470 40 1140000.0\n",
"1171 90 855000.0\n",
"1128 37 288405.0\n",
"254 49 290000.0\n",
"508 91 375606.0\n",
"... ... ...\n",
"389 56 325000.0\n",
"1403 69 399000.0\n",
"957 94 595000.0\n",
"356 53 339200.0\n",
"160 44 349668.0\n",
"\n",
"[1674 rows x 2 columns]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Wczytanie danych (mieszkania) przy pomocy biblioteki pandas\n",
"\n",
"alldata = pandas.read_csv('data_flats.tsv', header=0, sep='\\t',\n",
" usecols=['price', 'rooms', 'sqrMetres'])\n",
"alldata = alldata[['sqrMetres', 'price']]\n",
"alldata = alldata.sample(frac=1)\n",
"alldata"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# alldata = np.matrix(alldata[['sqrMetres', 'price']])\n",
"data_train = alldata[0:1600]\n",
"data_test = alldata[1600:]\n",
"data_train = np.matrix(data_train).astype(float)\n",
"data_test = np.matrix(data_test).astype(float)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Wielomian 1 stopnia, MSE = 34232245972.377033\n",
"Wielomian 2 stopnia, MSE = 84918416526.0791\n",
"Wielomian 3 stopnia, MSE = 83924720748.3686\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 691.2x388.8 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 691.2x388.8 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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REYkZh8oqeXb+JgDuOH2Qu8GIBEkJWRtLTvRwwbE9AS3uFxEJpefnb8ZbVsXY/p0Y1beT2+GIBEUJmQtqd1vOWrGNymqfy9GIiES/0opqnqopBHv7RI2OSfRRQuaCY3LaM6hrJnuKKvgsb7fb4YiIRL1XvtzC3uIKRvRqrzZJEpWUkLnAGKOaZCIiIVJR5eOJT51CsLedNkhtkiQqhS0hM8b0NsbMNcasMcasMsbc2cg5xhjzN2NMvjHmK2PMyHDFE2m+e1wOxsD7q3dysLTS7XBERKLWG8sK2H6wjNyumUwa1s3tcERaJJwjZFXAT621RwHjgNuNMcManHMOkFvzcTPweBjjiSg9O6QxfkBnKqp8vPP1drfDERGJStU+y+OfbADgtokD8Xg0OibRKWwJmbV2u7V2ac3nXmAN0LDD64XAc9axAOhgjOkRrpgizcUja2uSadpSRKQl5ny9nU17S+jdKY3zR/R0OxyRFmuTNWTGmH7A8cDCBodygK31vi7gyKQtZp09vDtpSQks2rSPLXtL3A5HRCSqWGuZPjcfgFtOHUhigpZFS/QK+7vXGJMJvAZMtdY2rITa2NjyEeXrjTE3G2MWG2MW794dO7sSM1MSOXt4dwDeWKZRMhGRYHy8dhdrd3jpmpXCpaN6uR2OSKuENSEzxiThJGMvWmtfb+SUAqB3va97AYUNT7LWPmGtHW2tHZ2dnR2eYF1Su9vyjWVqpSQiEihrLY/WjI7dfMoAUhITXI5IpHXCucvSAE8Ca6y1D/s5bRZwbc1uy3HAQWttXK1wP3FgF7q1S2HT3hKWbjngdjgiIlFh/sa9LNtygI7pSVwxpo/b4Yi0WjhHyE4CrgFON8Ysr/mYbIy5xRhzS805c4CNQD7wT+C2MMYTkRI8hu8eV1uTrMDlaEREokPt2rHrT+pPRkqiy9GItF7Y3sXW2nk0vkas/jkWuD1cMUSLi0f24h+fbuTtFYX85vxhGnoXEWnCsi37+Tx/L5kpiVw3vp/b4YiEhLakRIAh3bM4umc7DpVV8fGaXW6HIyIS0abPdeqOXT2uL+3Tk1yORiQ0lJBFiMM1ybTbUkTEr7U7DvHhmp2kJHq4cUJ/t8MRCRklZBHigmN7kuAxzF27i33FFW6HIyISkR6rGR27/ITeZGeluByNSOgoIYsQ2VkpnJLbhSqfZdZyjZKJiDS0aU8x//mqkESP4eZTB7odjkhIKSGLIJfUFDZ85cutqkkmItLAPz7dgM/CRcfnkNMhze1wREJKCVkEmTSsO10yU1i7w8uXm/a7HY6ISMTYfrCUV5cUYAzccppGxyT2KCGLIMmJHq4c4zQueHb+JneDERGJIP/89Bsqqy2Tj+nBwOxMt8MRCTklZBHmyrF9SfAY3lu5g52HytwOR0TEdXuLynlp0WYAbtPomMQoJWQRpnv7VCYN60aVz/LSwi1uhyMi0jJeL8yYAXff7dx6vS2+1NOfb6Ks0sfpQ7tydM/2IQxSJHIoIYtA19ZUnn550RYqq33uBiMiEqx58yAnB6ZOhQcecG5zcpz7g3SorPLwEo7bJ2p0TGKXErIING5AJwZ3y2SXt5z3Vu1wOxwRkcB5vTB5snNbXOzcV1xcd39RUVCXe37+ZrxlVYwb0IlRfTuFIWCRyKCELAIZY7imZpTsuS82uxuMiEgwZs4En5+RfZ/POR6g0opqnpr3DQC3TxwUiuhEIpYSsgh10fE5ZKYksmjTPtZsP+R2OCIigcnLqxsZa6i4GPLzA77UK19uYW9xBcf2as+EQV1CFKBIZFJCFqEyUxK5tKZQ7HPzNUomIlEiNxcyMho/lpEBgwIb6aqo8vHEpxsBuG3iIIwxoYpQJCIpIYtgV4/rC8Cby7ZxsLTS5WhERAIwZQp4/Pxq8Xic4wF4Y1kB2w+WMbhbJmcd1S2EAYpEJiVkEWxQ10xOGtSZ0spqXltS4HY4IiLNy8qCOXOc29qRsoyMuvszmy/qWu2zPP6J00T8ttMG4fFodExiX6LbAUjTrh3fj8/z9/L8gs18/8R++sEkIpFvwgQoLHQW8OfnO9OUU6YElIwBzP56O5v2ltCnUzrnjegR5mBFIoMSsgh3xtCu9Gyfyjd7ipmXv4dTBme7HZKISPMyM+HGG4N+mLWWx+Y6C/9vOXUgiQmayJH4oHd6hEtM8HBVzVqy59TfUkRi3EdrdrF2h5du7VK4ZFSO2+GItBklZFHg8hN6k5zg4aO1u9i6r8TtcEREwsJay6M1o2M3nTyAlMQElyMSaTtKyKJA58wUzh3RA2vhRfW3FJEYNX/DXpZvPUDH9CSuHNvH7XBE2pQSsihx7Xhn2nLml1soq6x2ORoRkdCb/okzOnbDSf1JT9YSZ4kvSsiixHG9O3BMTnv2l1Tyn6+2ux2OiEhILduyn8/z95KZksi1Na3jROKJErIoYYw5PEqmxf0iUczrhRkz4O67nVuv1+2IIsLDH6wH4JrxfWmfnuRyNCJtTwlZFDn/2J50SE/iq4KDLN96wO1wRCRY8+ZBTg5MnQoPPODc5uQ498ex+Rv28lneHrJSErn55AFuhyPiCiVkUSQ1KYEpo3sDGiUTiTpeL0ye7NzWNt8uLq67v6jI3fhcYq3lgffWAnDTKQPomJHsckQi7lBCFmWuHtcXY+A/K7azt6jc7XBEJFAzZ4LP1/gxn885Hoc+WrOLZVsO0DkjmRsm9Hc7HBHXKCGLMr07pXP6kK5UVPuYuXir2+GISKDy8upGxhoqLnZaDMUZn8/y5/fXAXDbxEFkpmhnpcQvJWRR6NoT+wHw4oItVPusu8GISGByc+uabTeUkeH0e4wzs1YUsnaHl57tU7lKdcckzikhi0InD+pCv87pbDtQykdrdrodjogEYsoU8Pj5kevxOMfjSEWV7/DOyqlnDiY1SVX5Jb4pIYtCHo/h6sP9LTe7HI2IBCQrC+bMcW5rR8oyMuruz8x0N7429q/FW9myr4QB2RlcPFI9K0U0YR+lvjeqNw+9v555+XvYsLuIgdnx9cNcJCpNmACFhc4C/vx8Z5pyypS4S8ZKK6r520d5APz0rCEkJmhsQEQJWZRqn57Ed4/vycuLtvL8/M3ce8HRbockIoHIzIQbb3Q7Clc9O38Tu7zlDM9pxznDu7sdjkhE0J8lUeyacf0AeG1JAcXlVe4GIyISgIOllTz+yQYA/uc7Q/F4jMsRiUQGJWRRbFjPdpzQryPe8ireWLbN7XBERJo147ONHCytZEz/TpyS28XtcEQihhKyKHdNTRPe5+ZvwlqVwBCRyLXbW86T874B4O6zh2CMRsdEaikhi3JnH92d7KwU1u8sYuE3+9wOR0TEr+lz8ympqOaMoV0Z1beT2+GIRBQlZFEuOdHDFWOcgorPqwSGiDTG64UZM+Duu51br7fNQyjYX8JLC7cA8LPvDGnz5xeJdErIYsBVY/uQ6DG8u2oHOw6WuR2OiESSefMgJwemToUHHnBuc3Kc+9vQtA/zqKj2ccGxPTmqR7s2fW6RaKCELAZ0a5fKd47uTrXP8tKiLW6HIyKRwuuFyZOd29o+msXFdfcXFbVJGPm7vLy2tIBEj+Guswa3yXOKRBslZDHi2vFO5f6XFm6hosrncjQiEhFmzgSfn58HPp9zvA089P56fBYuO6E3/br46ecpEueUkMWIMf07MaRbFnuKynl31Q63wxGRSJCXVzcy1lBxsdMtIMy+KjjAOyt3kJLo4cen54b9+USilRKyGGGM4ZqaUbLn529yNxgRiQy5uXV9MxvKyHBaN4XZg++tA+C6E/vRvX1q2J9PJFopIYshFx2fQ1ZKIl9u2s/qwkNuhyMibpsyBTx+fsx7PM7xMJq/YS+f5e0hKyWRW08dGNbnEol2SshiSEZKIpeM6gXA8ws2uRuMiLgvKwvmzHFua0fKMjLq7g9jU3NrLQ+8txaAm04ZQMeM5LA9l0gsUEIWY2qnLd9Yto2DJZUuRyMirpswAQoLYdo0uOce57aw0Lk/jD5as4tlWw7QOSOZGyb0D+tzicSCRLcDkNAamJ3Jybld+CxvD/9espUfnDzA7ZBExG2ZmXDjjW32dD6f5c/vO2vHbps4iMwU/aoRaY5GyGLQNeOcUbIXFmzG51N/SxFpW7NWFLJ2h5ee7VO5amwft8MRiQpKyGLQGUd1I6dDGpv2lvDfvN1uhyMicaSiysfDH6wH4M4zc0lNSnA5IpHooIQsBiV46kpgPP7JBpejEZF48q/FW9myr4QB2RlcMrKX2+GIRA0lZDHqqrF9aJ+WxKJv9rFw4163wxGROFBaUc3fPsoD4KdnDSExQb9iRAIVtv8txpinjDG7jDEr/Rw/zRhz0BizvObjN+GKJR5lpSZx/Un9AHjk4/BX4xYReXb+JnZ5yxme045zhnd3OxyRqBLOP1+eAc5u5pzPrLXH1Xz8PoyxxKXrT+xPZkoi8/L3sHTLfrfDEZEYdrC08vASiZ9NGoLHY1yOSCS6hC0hs9Z+CuwL1/Wlee3Tk7juRGct2SM10wgiIuEw47ONHCytZEz/Tpw6ONvtcESijtsT/OONMSuMMe8YY472d5Ix5mZjzGJjzOLdu7VrMBg3ThhAenICc9ft5uuCg26HIyIxaLe3nCfnfQPA3WcPwRiNjokEy82EbCnQ11p7LPAI8Ka/E621T1hrR1trR2dn6y+vYHTKSObqmrpkj3ysUTIRCb3pc/MpqajmjKFdGdW3k9vhiEQl1xIya+0ha21RzedzgCRjTBe34ollPzi5PymJHt5fvZM129V0XERCp2B/CS8t3ALATycNcTkakejlWkJmjOluasa1jTFjamJRfYYw6JqVyhVjnGrZj2rHpYiE0LQP86io9nHBsT0Z1rOd2+GIRK1wlr14GZgPDDHGFBhjbjTG3GKMuaXmlEuBlcaYFcDfgMutterzEya3nDqQ5AQPc1ZuJ3+X1+1wRCQG5O308trSAhI8hrvOGux2OCJRLWwdX621VzRz/FHg0XA9v3xb9/apfG90L15cuIVHP87nr5cf73ZIIhLFrLX87u3V+CxcNaY3/bpkuB2SSFRze5eltKFbTxtIoscwa0Uh3+wpdjscEYli763aybz8PbRLTdTomEgIKCGLI706pnPxyBx8Fh6bq7VkItIyZZXV/HH2asBZyN85M8XliESinxKyOHPbaYPwGHhj2Ta27itxOxwRiUL/+O9GCvaXMrR7FleN7eN2OCIxQQlZnOnXJYMLj8uhymd5/L8b3A5HRKJMwf4SHvvEGWG/94Kj1UBcJET0PykO3T5xEMbAq4sL2H6w1O1wRCSK/GnOGsqrfJw3ogfjBnR2OxyRmNFsQmaMucMY07EtgpG2MahrJpOP6UFFtY9//Hej2+GISJT4PH8Pc77eQVpSAr+YfJTb4YjElEBGyLoDXxpj/mWMOduoSVlM+NHpgwB4edEWdnnLXI5G4pLXCzNmwN13O7de1ceLZJXVPn739ioAbp84kJ4d0lyOSCS2NJuQWWt/BeQCTwLfB/KMMX8yxgwMc2wSRkO7t+M7R3ejvMrHPz/VKJm0sXnzICcHpk6FBx5wbnNynPslIj0/fzPrdxbRp1M6Pzh5gNvhiMScgNaQ1VTQ31HzUQV0BF41xjwQxtgkzH50ei4ALyzYwt6icpejkbjh9cLkyc5tcU09vOLiuvuLityNT46wp6icv3y4HoBfnzeM1KQElyMSiT2BrCH7sTFmCfAA8DlwjLX2VmAUcEmY45MwGp7TntOHdqW0spon533jdjgSL2bOBJ+v8WM+n3NcIsqD767DW1bFKYOzOfOorm6HIxKTAhkh6wJcbK39jrX239baSgBrrQ84L6zRSdjVriV7bv5mDpRUuByNxIW8vLqRsYaKiyFfRYsjyYqtB/jXkq0kegy/PX8YWkYsEh6BrCH7jbV2s59ja0IfkrSl4/t05OTcLhSVV/H055vcDkfiQW4uZPjpe5iRAYMGtW084pfPZ/ntrFVYCzdM6M/A7Ey3QxKJWapDJofXkj39+Td4yypdjkZi3pQp4PHzo8fjcY5LRHh92TaWbz1AdlbK4dF0EQkPJWTCmP6dGNu/E4fKqnhufqODoSKhk5UFc+Y4t7UjZRkZdfdnahQmEhwqq+T+d9YCcM/ZQ8lKTXI5IpHYpoRMAPjxGc4o2YzPNlJcXuVyNBLzJkyAwkKYNg3uuce5LSx07peI8MhHeewpKmdknw5cdHyO2+GIxLxEtwOQyHDiwM6M7NOBpVsO8OLCzdx8isrMSZhlZsKNN7odhTQif5eXpz/fhDHwuwuG4/FoIb9IuGmETAAwxvCjmlGyJz7dSGlFtcsRiYgbrLX87u3VVPksl5/Qm2N6tXc7JJG4oIRMDjttcDYjerVnT1EFLy/a4nY4IuKC91fv5LO8PbRLTeRnk4a4HY5I3FBCJocZY7hjorOT6h+fbqCsUqNkIvGkrLKaP/xnNQB3nTWYzpkpLkckEj+UkMm3nDWsG0O7Z7HzUDn/XlLgdjgi0oae+HQjBftLGdIti6vH9XU7HJG4ooRMvsUYc7gu2d8/2UBFlZ8WNyISU7YdKOWxT5wuCfdecDSJCfr1INKW9D9OjnDO8O4M6prJtgOlvLFMo2Qi8eBPs9dQVunj3BE9GD+ws9vhiMQdJWRyBI+nbi3Z9LkbqKrWKJlILPtiwx5mf72d1CQPv5h8lNvhiMQlJWTSqPNG9KBf53S27Cth1opCt8MRkTCpqvbxu1nOQv7bTxtEToc0lyMSiU9KyKRRiQkebqsZJXt0bj7VPutyRCISDi8s2My6nV56d0rjplMGuB2OSNxSQiZ+XXR8Dr06prFxdzFzvt7udjgiEmJ7i8p5+IP1APz63GGkJiW4HJFI/FJCJn4lJXi49TSnhdKjH+fj0yiZhJLXCzNmwN13O7der9sRxZ0/v7+OQ2VVnJzbhbOGdWv9BfU9FWkx9bKUJl06qhePfpzPup1e3v6qkAuPU5NhCYF582DyZPD5oLgYMjLgrrtgzhw1GG8jXxUc4JUvt5LoMfz2/KMxppX9KvU9FWkVjZBJk1ISE7izpsfl/e+spaSiyuWIJOp5vc4vbq/X+cUNzm3t/UVF7sYXB3w+y72zVmEtXH9SPwZ1zWzdBfU9FWk1JWTSrO+N7s3wnHZsP1jG3z/Z4HY4EmptPc00c6YzitIYn885LmH1xrJtLN1ygC6ZKfy45g+uVtH3VKTVlJBJsxJqpjQA/vHpRrbuK3E5IgmZefMgJwemToUHHnBuc3Kc+8MlL69uFKWh4mLIzw/uelq3FJSDpZXc/+5aAO45ZyhZqUmtv2iov6cicUgJmQTkhH6duODYnpRX+fjTnDVuhyOh0NJppsJCuO46GDvWuS0Msk5dbq6zvqgxGRkwaFDg13IjoYxyv397Nbu95Yzq25GLjw/RmtBQfk9F4pQSMgnYzycPJS0pgXdW7uCLDXvcDkdaqyXTTI895iQ8zz0HixY5tzk5zv2BmjIFPH5+9Hg8zvFAaN1S0D5as5PXlhaQkujhgUtH4PG0ciF/rVB9T0XimBIyCViP9mncVlMG4/dvr1ZLpWgX7DRTYSHcfnvj599+O+zYEdjzZmU5O++ysupGVTIy6u7PDHCBudYtBeVgSSU/f/1rAH42aQgDs1u5kL++UH1PReKYyl5IUG46ZQAzF29l7Q4vLy/awjXj+7kdkrRUbi6kpkJZ2ZHHUlOPnGb6+c+bvt4998AzzwT23BMmOAnezJlO4jdokDOKEswvbq1bCsrv3l7Frpqpyhsm9A/9E4TieyoSx5SQSVBSkxL45eSjuPXFpTz0wXrOP7YnHdKT3Q5LWmLyZLjppsaPlZXBued++761a5u+3rp1wT1/ZibceGNwj6mvdt1SY0mZ1i19ywerd/L6sm2kJHp48NIRJIRqqrKh1n5PReKYpiwlaGcP7874AZ05UFLJX2rarkgUmjPHGQlrTGoqzJ797fuGDm36ekOGhCauQGndUkD2F1fwizecqcr/d/ZQBoRyqlJEQkYJmQTNGMNvLxiGx8ALC7ewbofKDESlvLzGpyvBub/hlN999zV9vfvvD01cgdK6pYDc+/YqdnvLOaFfR64/sZ/b4YiIH0rIpEWGdm/H1eP6Uu2z/O7tVVirPpdRJ9hSBT17wvTpjZ8/fTp07x7a+AJRu25p2jRnDdu0ac7XatUDwLsrd/DW8kJSkzw8eOmxodtVKSIhZ6LtF+no0aPt4sWL3Q5DcKZCTvvzJxwsreTvV4/k7OE93A5JguH1OiUrGiukmpXlJDaNjTLt2OEkP+vWOdOU99/vTjImTdpXXMGkv/yXPUUV/Pb8YVx/UhgW8ovItxhjllhrR7fksRohkxbrmJHMTycNBuCPs9dQVlntckQSlJZO+XXv7uymnD/fuVUyFpF+O2sVe4oqGNO/E9dpN7RIxNMuS2mVK8f04aWFW1i7w8uMzzZyx+kh6IsnbUelCmLSO19v5+0VhaQlJfBnTVWKRAUlZNIqiQkefnP+MK7850Kmz93AJaN60aN9mtthSTBUqiCm7C0q51dvrgSc7hp9Oqe7HJGIBEJTltJqJw7swjnDu1NaWc397zRTq0pEwuo3b61ib3EF4wZ04uqxfd0OR0QCpIRMQuIXk48iOdHDW8sLWbxpn9vhiMSl/3xVyOyvt5NufDy44V08Tz3Z+KYNEYk4SsgkJHp3SueHpwwAnLpH1b7o2r0rEu32FJXzm1eXA/DzuU/R+4Hfw9Spzk7aefNcjU1EmqeETELm1tMG0qN9Kiu3HeLVJVvdDkckblhr+fWry9lXYTlp03KuWviWc6C42BkhmzwZiorcDVJEmqSETEImPTmRe85x2us8+N46DpVVuhyRSHx4+6vtvLN2DxkVpfzfO9Pw0GCE2udzdtKKSMRSQiYhdcGxPRndtyN7iir424d5bocjEvN2ecv4zVvOrspffjyDXod2H3lScfGRrbBEJKIoIZOQMsZw7wVHYww888Um8ndpmkTamNcLM2bA3Xc7tzG8qN1ay6/eWMmBkkpOTivninw/a8Uaa4UlIhFFdcgk5IbntGfK6N688uVW/vCf1Txz/QkYo8KU0gbmzXPWS/l8zqhQRgbcdRe8+ips2eI0VM/Ndc6ZM6fu6ylTnA4FoeL1OlOErbl+ANeYtaKQ91fvJDMlkftvHIN5yM/f2B6P83gRiVhh62VpjHkKOA/YZa0d3shxA0wDJgMlwPettUubu656WUaHPUXlTPzzJ3jLqnjq+6M5fWg3t0OKLaH4hR9rmurNCZCeDiUlkJoKZWV1txkZTsIyZ05ompI3lhQGe/0ArrHrUBln/eVTDpZW8n+XHMOUE/qE5rlFpMVa08synAnZKUAR8JyfhGwy8COchGwsMM1aO7a56yohix4zPtvIH2evoX+XDN6begrJiZohDwn90m3cjBlw++1QUdGyxzfVUD1QLW3YHuQ1bEYGNz23mA/X7OLUwdnfHoUuKlIrLBGXRGRzcWvtp0BTFUIvxEnWrLV2AdDBGNMjXPFI27t2fD8GZGfwzZ5inv78G7fDiQ21JQy8XicZA5U2qLVsWcuTMYDSUieha82as5kznUS5MYHudAzgGm8s28aHa3aRlZrI/Zcc8+0lAbWtsO67z7lVMiYSFdwcssgB6herKqi57wjGmJuNMYuNMYt3725kB5FEpORED785bxgAj3yczy5vmcsRxYBQ/MKPVcuWte7xVVXw8sutK6Sal1eXKDcU6E7HZq6xM28L985aBcCvzxum3rEiMcLNhKyxVd6Nzp9aa5+w1o621o7Ozs4Oc1gSSqcN6coZQ7tSVF7Fg++uczuc6BeKX/ixqjWjY7UqK1s32pib60whNybQnY5NXMNmZPDz9BEcKqti4pBsvjeqV/AxikhEcjMhKwB61/u6F1DoUiwSRr86bxhJCYZ/LylgxdYDbocT3ULxCz9WHX106K7V0tHGKVOc9XyNCXSnYxPXeO2o0/i4JJWs1ETuu3iEdi+LxBA3E7JZwLXGMQ44aK3d7mI8Eib9u2Rww4T+gNPn0qc+ly0Xil/4seq++4I7v6lkpqWjjVlZzuaKrKy6xDkjo+7+QNZz+bnGju59+N13bgXg3vOPpnv71ODjE5GIFbY6ZMaYl4HTgC7GmALgt0ASgLX278AcnB2W+ThlL64PVyzivjsmDuK1JdtYtuUAby7fxsUjNdXSIrW/rP3tsoznBdw9e8L06c7C/EBYC4mJztqxhloz2jhhgrObsjU7HRtcwzdwEP/PdxTejfs5Y2hXLh7Z6HJbEYliYSt7ES4qexG9/r14K//z6ld0zUrhg5+cSvv0JLdDil4qbeDfjh1wzz0wezbs2dP0uf4SslCUwAihaR/m8ZcP19MhPYn3pp5Ct3YaHROJRK0pe6FK/dJmLhnZi5cXbWHplgP84s2vefSK47UGpqVqSxvIkbp3h2eegbFjm0/IqquPvC8tLaJGG+eu28VfP1qPMTDt8uOVjInEKFXqlDbj8Rgevuw4MpITmP3Vdl5bus3tkCSWDR3a/DmNzRAkJMBxx4U8nJbYsreEO19ehrVw15mDOXWwdpmLxColZNKm+nXJ4N4LnN1wv31rJZv3+inhIAKtaxQe7CL/WtY2v8OyDRqYl1ZU88MXlnCorIozj+rK7RPjeAetSBxQQiZt7tJRvTj3mB4UV1Rz5yvLqaz2U+hU4tu8eU6R1qlT4YEHnNtgirbWLvIPVnM7LFsbVwCstfzyja9Zs/0Q/Tqn89Blx+HxaHpfJJYpIZM2Z4zhTxcdQ4/2qSzfeoBHPspzOySJNKFqEXXbbU4x3cQglss2tcOyjVpXvbBgM68v20ZaUgJ/v2YU7dO0AUYk1ikhE1e0T0/iL1OOwxh4dG4+i75pqu2pxJ2ZM52q+Y2prAyuaOsnn0BKSuDnN1XPrQ1aVy3ZvJ/f/2c1APdfcgxDu7dr9TVFJPIpIRPXjBvQmVtPHYjPwk9mLudgqZ9fwBJ/Vq6EMj+9T8vKYPXqwK/VVLspqBs9C6SAa5hbV+3ylnHbi0uorLZcf1I/LjxO9cZE4oXKXoirpp45mHn5e/iq4CC/enMlf7v8OJXCiCderzOqlJfntIWaMsVJivbvb/pxe/c2f43a+1escEbIysuPvE5GBlx6KfToEVg9t9rWVY0lZa1sXVVZ7eOOl5ax81A5Y/p14heTj2rxtUQk+ighE1clJ3qYdvnxTJ72GW+vKGTikGxV8Y91tYnS3Lnw2mtOmYmSEiehuesuZ4SqU6emr9G5s3M7b96RXQvuugvuv98pDlt7vz8eDzz6aOA1x6ZMca7v71qtaF11/ztrWfTNPrpmpfDoVceTlKAJDJF4ov/x4rr+XTK494JhAPzmrVVs2VvickQSNrU7FO+8E156yRm1Kqn5ftdfHD9wIKT6KYCamgrDhjW9wP722799f0PB9pesFYpelY2YtaKQJ+d9Q6LH8PjVI+mapeKvIvFGI2QSES4b3ZtP1u3mnZU7mDpzGf/64XgSNUIQW+onUE3x+ZzG30lJja8jS0pyRqJeecX/Ant/kpPhjDPgkkta3m4qFL0q61m/08vdr34FwK/PG8aovs2MDopITFJCJhHBGMN9Fx/Dsi0HWLrlAI98nM9PzhrsdlgSSk3tUKyvuBgKCppvot7cYv3GVFTAsce2vu1UiFpXHSqr5IfPL6G0sprvHteTa8f3bfU1RSQ6KSGTiNEhPZmHpxzLVTMW8sjHeZyc24XR/TRaEDMCTaBqF8c3NxKVmwvp6XVTnoFo5cL7Vmmw+cB32WX89M31fLOnmKHds7jv4hGh3dDib7ODiEQkYxvr5RbBRo8ebRcvXux2GBJG972zhn/8dyO9OqYx586TaZeqopgxYcYMp6p9c0lZVpaTiDU3Bej1QnZ247snW3vtUGtk88H00Rfx4LjLaZeayNs/mkDfzhlhfb7Do4sTJoTueUTkW4wxS6y1o1vyWC3SkYjz07OGMDynHQX7S/nNmyvdDid2tEH/xSZNmeIkBf6kpwe3OD4ry1kL1hR/Ncba8rVoZPPBp9mD+fPYywD464VDQ5uMtVE3AREJLSVkEnFqS2GkJSXw5vJC3ly2ze2Qol8b9F9sVm1ClJZ25LHERPjRj5zRq2BGcCZOrNvt2FBGBlx1lVP+Ytq0umu39WvRYO3c1nZd+fEF/4M1Hu5c9G9OX/phWJ/vW0LUTUBEQk8JmUSkgdmZ/OZ8pxTGr99cydZ9KoXRYpE0YnLssU7dsYaqquCxxwK/Tu0I16pVzmMbU1tj7L77nAX4tSNjbf1a1Fs7V5aQxK0X/YIDae2YuOFL7pz7XKur+zf1fEcIQTcBEQkPJWQSsS4/oTffObob3vIqfjJzOVXVQZY4iCWtmWKLhBGTwkK47joYMcJ/S6RAY6k/wvXXvzolMqCubllTdcGCeS1CNa1ZU93fAr+ZdCsruw+iz/7t/PXtP+PJSA/9JoPabgKNcXNTg4g0SbssJWIZY7j/4hEs3/opizfvZ/rcDdx5Zq7bYbU9f9XoA12g7faIyWOPOYVamxNILI3VMquf4N11l1M01l9dsEBfi9a+5vXVVPd/+djv8K8Rk0ipLOfxN/9E+/JiSM6qq+4fql2RYewmICLhoxEyiWgdM5J5+LLjAPjbx3ks2dxMj8NYE4opNjdHTAoLA0vGAo2lqRGuqirYswcuu8z/poBAXotQT2tmZbH8xVnce9YtANz33qMcXbzr26N4oVzXFqZuAiISXkrIJOKdNKgLN58ygGqfZerMZXjLKt0Oqe2EYrqxqd2NLR0xCXQ67+c/D/yazcXi9cKrr/of4aqqgpdfbjqRaeq1qK52Eq4QT/HuKSrn1pXVVCQkcW1xHhdnlji7Q9etc0bbwrGurbaG27RpR25qEJGIpClLiQo/nTSYz/P3sKrwEL+dterwqFnMC8V0Y+3ISFNV74MRzHTe2rXNXy+QWGqfs7maY5WVzsfkyY3XG6v/WlRWHrmebcgQOP/8kE3xVlX7+NFLy9h+sIxR29fxqzd+B95DsHIlvPGGE8vatc0ngC3pChCibgIi0jY0QiZRISUxgWmXH09qkofXl25j1opCt0NqG6GabgzViEmwozlDhzZ9veHDm4+l/nNWVAQWZ1MjWRMmOKNTDYtil5U5z/H6605NtMYE8Zpba/nfOWuYv3EvXUoO8Njr/0uy95BzsP5rtmqVdkWKiBIyiR6Dumby6/OcUhi/fONrCvbHQSmM5qbYVq4MfAdg7YhJ/TIQwQp2Ou+++5q+3gcfNB9LoD0w62sukZk9u65obEMej/Pa+jsW4BTvtI/yePrzTSRimf7uX+lWtO/Ik3w+2LdPuyJFRAmZRJcrx/ThrGHd8JZVcdfMFVT7oqv1V9AaW6BdW94BnLIPbVnkNdgp1J49Yfr0xs+fPh26d2/dc/rTVCJTWOi8bv6uWVICl17aqkXxT3y6gb9+mIfHwDS7hrF5ftq9FRdDly6hX+MnIlFHCZlEFWMM/3fJCLKzUli0aR/T58bBdE796ca77qqbaqtd/xSOwqa1dcPGjnVuC2umiFsyhXrbbbB9u3OdceOc2+3bnfsDkZv77SQ0ED5f44nMY485yeuqVf4fm5HhdABo4RTv8/M38ac5ztq5By49lnNzOzb9mg0bpl2RIqLm4hKdPsvbzTVPLgJg2uXHceFxOS5H1EaaatCdkeEkDq1dyO2vbtj06XDNNU5C09gUaWamM0W5dav/OlotqbVVWOg8Z7DefBMuvDD467SiAfmrSwr42b9XAPCH7w7nmnF9nX+zv9es/nMVFTmvTX6+k9j6q6UmIhGrNc3FlZBJ1PrHfzdw3ztrSfQYnvz+CZw6ONvtkMLv7rudOlX+nHMOHHNMywuLNpe0bN/uJAwNd1la63wY40z5JSY6LZJmzYJJk5zHNtydmZLiPGbqVPjVr/zHOmOG0+fSX4X/prz3Xt3zX3cdPPec/3M9Hifu5uLxY87X27njpaX4LPxi8lBuPmVg3cHGdqbW7ixVKQqRmKGETOLWn+as4YlPN5KenMCLPxjL8X06uh1SeDWXnKSkOKUhWvoLv7mk5brr4Jlnvj2a06uXM63nb7r0vfdg/Hj/o0TgjAS9807jsTaXhDYlJcUpFpuZ6Uy/LlrU/GNa8Np9vHYnNz+3hCqf5c4zcvnJWYOPPEkjYCIxrzUJmdaQSVS75+yhXDwyh5KKam545kvyd7Ww32C0mDy56ZGi2jpdLV1X1lzdsHXrnNv6OzZTUpreBXnhhfDss02fU1TkP9am1q01p7q6budncyU4agX52n2Rv4dbXlhKlc9y8ykDmOqvvVcodrmKSMxSQiZRzeNxFvmfPrQr+0squfbJRRQeKHU7rPCZMye4Be7BVpZvLmkZMuTI+/LynGlKf6qrnTITze2U9Bfr5Mn+y1A0p6qqbudncyU4Ao2nniWb9/GD5xZTUeXjqrF9+Pk5QzG1zc5FRIKghEyiXlKCh+lXjmRU344UHizj2qcWsb84wAKi0SYvL7i1VMEWFm0uabn//iPvy831X9MLnIr40PwoV2OxzpvXeJKYmuqs8XrooaavmZ5et/OzqRIcgcZTz8ptB/n+019SUlHNxcfn8IcLhysZE5EWU0ImMSEtOYGnrjuBId2yyN9VxPXPfElJRZXbYYVesNN3wRYWbSpp+d//dcpu9O/vVNj/85+dqb0pU5wF/P4kJ8N55/mvteUvVq/X2aTg9R6ZhFoL69fDTTc1XT4jIaGu/IXX68Ry0UVOLM0lT/WTuQbW7/RyzZML8ZZVMfmY7jxw6Qg8HiVjItJyWtQvMWXHwTIuefwLth0o5ZTB2cy4djTJiTH0d0dTJRQa09ISDjt2OAv1V692Rr8SE+Gzz448LzkZPvrIKXVx5ZX+r5ef7+zQPOcc/+uyGpbNWLnSKePRmIwMuOMOp0RH7c7F+tLTnWSsdmF+7S7H6uqmp1cbqr9Ls8amPcV87x/z2e0tZ+KQbP5xTYy9x0SkxbTLUqSejbuLuPTv89lXXMGFx/XkL5cdF1ujF42VUPD5nBEfY0JXViHQJCYjAy64AF5+2f8548fDySdD796wYQM8+qgzylVd7SR1Hk/dqFVxsZNQNZc4JSXVTYfWl5wMDz/s7AjNzAw+ia2vQUK77UApl/19PtsOlDJ+QGeevv4EUpOaGB0UkbjSmoSsiYUfItFpQHYmz1x/Alc8sYC3lhfSMT2Z354/LHbW99RW7m9YQgFCV1ahfkPv5pSVwRdfNH3OggUwf35d8piU5NzWLtZvOCXZXDKWmOh/yjEpyVljVvtvb0kvzFq1C/tvvJFdh8q46p8L2HaglJF9OjDjutFKxkQkZJSQSUwa0asDT1w7muuf/pJnvthEdlYKt0+MoSbNtSUUGmptlf5awSQx1dWNj1TVVzsS39hOy4oWbMDw+ZwdlI2pXYxf2xXg738Pvhdmg2vtL67g6icXsmlvCUf3bMfT148hI0U/PkUkdPQTRWLWSYO68Jcpx3HHy0t58L11dMpI5ooxfdwOq+01166osePBNPROSIDBg+v6XbaFs85yplT9tZCy1pmmrKxsWYX/etc61D+Xa59axPqdReR2zeT5G8fSPi2p5dcUEWmEEjKJaeeO6MG+kuH8+s2V/PKNr+mYnsTZw3u4HVbbaWy92V13HbnYveHxW291Pg8kKUtNhXPPhU8+Cfs/B3CmKs88Ez7/3P/x6dMDL4iblgaljdeuK0lO4/qKXL7edpC+ndN54Qdj6ZSR3MLARUT809YgiXnXjOvLT84cjM/Cj19ezhcb9rgdUtuovw6sNrGqX4V++3b/xx97rPmyEOAsoH/33eCK1baWtXDvvU4SmZbmbAAAZ11ZSoozbRvMZqXLLnN2U2Zl1ZUUycigrEMnbvrF8ywpOETP9qm8+IOxdGvXxL/T63VaW919t3Pbkk0EIhK3NEImceHHZwxib3E5z83fzM3PLeGVm8cxPKe922GFV1PrwHw++NnP/K/fsvbIshLp6c75XbtCp05w/fVw883OeramdliGQ20CmZbmrGGr3XGZkgKPPx7curQePZzSFvU2SlQOHMTtZhif5+2jS2YKL940jl4d0/1fo7mRSBGRZighk7hgjOHe849mX3EF//lqO99/ehGv3nIi/bq0sEdiNGhqHVhxMbzyiv+ErbjYGSGrv5uzSxdYssQpWzF0KFx+ed1Oxv/+t/XxGhPcyBYcOdUY7OJ9j6eu+GvNRolqn2XqK8v46KvtdEhP4sUfjKV/U++Txnak1sYxeXLL6sCJSNzRlKXEDY/H8PBlx3Fybhf2FFVwzVML2XWoFQu+I11zVf2b2kVZWzW/djdndrYzovbyy7BoETz3nLNo/rHHnERk9erm4znhhKYr+lvbdAumcPD5nPVvNYrKq7jlhSXM/mo7WSmJPH/DWIZ0z2riAjQ/EhlML1ERiVtKyCSuJCd6ePzqURzbqz1b95Vy7VOLOFjaTMmGSBTIeqUpU5pvV+SPMXW1zd58E37608bPu/12uOGG5q+XkAA//KH/60Bddf22lJrqND7HqcB/0fTP+WD1TtqlJvL09SdwTK8AprWbG4kMppeoiMQtJWQSdzJTEnnq+ycwIDuDtTu83PTsYsoqq90OK3Dz5jmjU1OnwgMPOLc5Oc799WVlOWuYGixWJymAkg23315X5f5732v63Ndea36qsbraqdJ/xhn+z6mqcnZ3ZmY6mwXaQlkZzJvHpyeeywV//A95u4rIbZfIrDsmMLpfJ+ec5pLfpkYig+0lKiJxS62TJG4V7C/h0sfns+NQGWce1Y2/Xz2SxIQI/xulqTZA/vpWFhV9u4J/aSn85Cf+C6uC08fyvvucBOSmm0ITe21cTZWjyMhwRuduugn+9re6Sv4tkZDQ7ONtQgJPjjyfP512PT5PAmetn89fZj9MZv8+zhRtnz5w6aXfXqzfsCVVS74nIhKT1DpJpAV6dUznuRvH8L2/z+fDNTv50cvLeOiyY0lPjuD/FoGsV2pYrb9hVX+v10k2/CVk9Ud18vJaH3OtQHY+1k79Pfoo/OhH8M9/Oo9rrhNAY5r5Y7MsMZlffOcOXh9+OgA//vxlps57CQ8W1q1zdpmWlzce3znnfLsR+quv+k/clIyJSAAi+DePSPgN7pbFU98/geueWsQ7K3ewcXcx/7hmVOTuvgzFeqWsLPjTn/yv5/J46taP5ea2LM7GBFOKorLSKV+RlORMc370UfBJ2aRJTvHY2iSpnh2ZnfnhRb9kRc/BpFeU8tDsv3DO+gb9OBsmY/UVFTlJbXl5XfL16qtOghaKXqIiEnc0ZSkC5O/ycvPzS9i4u5h2qYlMu+J4Jg7p6nZYR5oxw1kz5q9l0LRpzfezbGqKDZzr//73TuLm9ULHjq2bOmyt2hpjwdq+3UmIaqdre/WCsjKWPPIst5z3P+zO7ESvAzv45+t/5Kjdm1ofp6YnReJea6YsI3zBjEjbGNQ1i7duP4mzhnXjUFkVNzzzJY9+nIfPF2F/sDS1c7KqCk45pfndl801Dn/88bpNAllZztSdm4wJvhzGlVfCX/7i1Fo7+WQnUXruOWZ+ns/l3/sDuzM7MX7zCmY9d1dokjFwkkaVuBCRFgrrCJkx5mxgGpAAzLDW3t/g+GnAW8A3NXe9bq39fVPX1AiZhJPPZ3l0bj5/+XA91sKkYd146LJjyUp1qZl0Y42/V6xwCo42bJydnOxMC6amOvc3tgAdnGTtgQeaf+7UVNi4Eb76Cs4+O/T/tnDweJzF/ElJUFLifO3zUelJ4I+n/4BnR50PwPcXz+KXc58kyRfikb+77oKHHqr7urnG7iISU1ozQha2hMwYkwCsB84CCoAvgSustavrnXMa8DNr7XmBXlcJmbSFuWt38eNXluEtq2Jgdgb/uGY0g7q28VRUY+14ahOsgQNhwIBvJ2T+NJxKa2ras6GkJGfkLcqWNtS3L60dt114Dwv6jiC5qpI/vv8Yl339QXAXqU12axI8v667Dp55xvm8qe+f2imJxKRInbIcA+RbazdaayuAV4ALw/h8IiEzcWhX3r5jAkO6ZbFhdzHfnf4576/a0XYBNNcY/LXXAi+i2rBafDAFYysrozoZW53dnwuufZgFfUeQXbSPl1/+efPJWO30aEaG0yszLa2u0XpTyRg4vTSh+e9fU6U/RCQuhTMhywG21vu6oOa+hsYbY1YYY94xxhwdxnhEgtKvSwav33Yi5x7Tg6LyKm5+fgkPvb+O6rZYV9ZceYvZswPv21hc7JSPqF1TVlswtqm2SjFg9pCTuOTqByno0J1jC9fx9rM/YVTh2uYf+PvfO3XY/u//nKS3tLTpHZf1rVzp3KqdkogEKZwJmWnkvoa/yZYCfa21xwKPAG82eiFjbjbGLDbGLN69e3dooxRpQkZKIo9eeTw/P2coHgOPfJzPjc9+ycGSMLdbaq68xdatzshNoBYudKrv9+zpTKVNmOCM1MQgH4aHTr6a27/7c0qTU7n464+Y+dI9dC/aG9gF1q1zaoylpAQ/Oli7G1TtlEQkSOFMyAqA3vW+7gUU1j/BWnvIWltU8/kcIMkY06Xhhay1T1hrR1trR2dnZ4cxZJEjGWP44akDee6GsXRIT+KTdbu5YPo81u3wUzYiFJprDL52rTNyE4yKCmeqbNIk5/bLL1sXYwTyJqdx88W/4pETL8fjq+bXHz3BQ3P+Qmp1EAn0Z585Gx9efTXwUchaw4Y5t2qnJCJBCuei/kScRf1nANtwFvVfaa1dVe+c7sBOa601xowBXsUZMfMblBb1i5u27ivhh88vYfX2Q6QlJfDg90Zw3oieoX+i5mqFtdajjzrlLVatav7cKPFNx57cdPGvyO/Sh/alXh6d9X+cvGl58BdKTHQ2MtQu5A/G9u3QvbvaKYnEqYhc1G+trQLuAN4D1gD/stauMsbcYoy5pea0S4GVxpgVwN+Ay5tKxkTc1rtTOq/deiIXHZ9DaWU1d7y0jPvmrKGqupnF3sGqXeeVmRl8Da5AzJ4N3/9+0+eE43nDoMp4ePHYs7nw2ofJ79KHwbs3M+u5n7QsGYO6llLBJmPTpzvJGPhv7F7/+yoiUo8q9Yu0gLWWZ7/YxB9mr6HaZzlpUGceuWIknTKSQ/ck8+Y5PRNLSprf3Ress85ydmo2VYX/qKOc9VShfu4Q+qzfcfzx9B+wLrsfAJPWz+fh2Q+TWRHkdG4wMjPhhRfgjTec12fIELj//rpkrL6Gjd3VTkkkpkVkHbJwUUImkWTBxr3c8dJS9hRVkNMhjX9cM4rhOe1bf+HWTlk2Vy/ryivhwQed54hC+Z168aeJN/DxoDEA9Dqwg59/8jST133e6G6iZnXpAnv2NH9ecjI8/LCzQUJEpIHWJGTRMSchEqHGDejM2z+awC0vLGXF1gNc8vgX3HfxMVw8slfrLjxzZvCL9utrblSre3enOXaUOZCayV9PupIXjp9MVUIimeUl3Db/X9yw+K3gFu43tH+/M6XY3CL+igooKGj584iI+KGETKSVerRPY+bN47h31ipe+XIrd/1rBe+s3MHUM3M5umcLR8sWLKhbyxRqqanObsDXXw/P9cOg0pPA88efy7STruBgWhYeXzVXLH+Xuz57geySA61/goSEwBqoa4ekiISJEjKREEhNSuD+S0YwolcHfv+fVXyweicfrN7Jd47uxtQzB3NUj3bBXXDu3PAECk6trNLS4OqYucQCHw88gf+deCMbOzujjidtWs6vPp4Ruqbg4Ix8XXUVzJrlJGYlJY2f5/E468BEREJMa8hEQmyXt4x//HcjLyzYTHmVM3V4zvDu3HlmLkO7B5iYde8OO3eGL8jkms0Hwe4kbENru/Tlj2f8gHn9jgeg/75t/GLuk5yZv6hl68SakpEB06Y5ydbMmU5C/OqrzshZSYn6UIpIQLSoXyQC7TpUxuP/3cCLC7dQUZOYTT6mO3eeMZgh3bOafvCJJ8L8+W0QZeTZk96eh06+mpkjJuHzJNCurIg7P3+Ja5bOIdkXpmncxmqDaYekiARJCZlIBNt5qIzHP9nAS4ucxMwYmHxMD6aekUtuNz+J2fr1TjmFOFKekMjToy7k0ROnUJSSToKvmmuWzubOz1+mY1kYuyJkZsI777R+5MvrdRK4vDynUv+UKU6iJyJxQwmZSBTYcbCMxz7J55VFW6modhKz80b05M4zBjGoayO/uIcNgzVrWvZkzZW9iCAWeGfISdx32vVs7eDU8pq44Ut+OfdJBu0N847GlBR46KHWl7GYN8/pDerzOTs1NcUpEpeUkIlEkcIDpTz2ST4zv9xKZbXFGLjg2J78+IxcBmbXmxIrLIzaOmGBsMDyHoO5b+INLOo9HIDBuzfzq49ncMqmZW0XyD33OM3E6wtmtEttkkSkhuqQiUSRnh3S+ON3j+HW0wYxfW4+/168lbeWF/L2ikIuPC6HH50+iAHZmdCzp9Pk+v/+z+2QQ6baeFjWcwjv547j/dzxbOrk9AHtVHKQuz57gctXvEeibcORvcbKWDQ22nXXXf5Hu2bO9D8a6fM5x2+8MfSxi0hMUUIm4pKcDmn86aJjuO20gUyfu4F/L97KG8u28dbybXz3+Bx+fHou/TZudDvMVitLSGJ+32N5b/B4Phw0hj0ZHQ8f61RykO99/SG3zf8X7cubKcoaDg3LWHi9TjJWf7Srtljs5MmNj3bl5fkvKFtc7GwKEBFphhIyEZf16pjOfRfXJmb5vLqkgNeXbuOtJVu5sKQ3px11CiO3rSHn0O7Ql3sIk4MpGXwyYDTvDx7HJ/1HUZySfvhY7wM7+M76+UzKW8CobWtIaMsRsfoyM49s9N2S0a7cXP9V/lVIVkQCpDVkIhFmy94SHn11Aa9tKKLak3D4/q7evYwsXOt8bFvL8J0bSK2KnDpiOzI788GgMbw/eDzz+4ygKqHu772jd+QzKW8Bk/IWMHT3pshILLdvP7Ih+N13wwMP+H+Mv/VmWkMmImgNmUhM6dM5nQfuu4HbD5Yz66hTWZozlGU9h7ArqzPvDjmJd4ecBEBSdSXDdn7D8YeTtLYdRbPAhs69eC93PO/njmNFz7oyHQm+asZvXsGkvAWclbeAXod2t1FUQfj73+Hee799X0tGu7KynJE2f7sslYyJSAA0QiYSiTweqPd/0wIbO+WwtOfQmgRtKOuy+2KN51sPO2IUbUd+i5tu+zAUJ6dSnJxOUXIaJcmpFCWnUZSczpKco/ggd9zhdkYAqZVlnPLNMiblzeeM/C/DWzssFNq3hwMHvn1fa0a7VEhWJO6p7IVILPF6oV3zLZa8yWms6DGYpTlHsbSnM4p2MO3bpRmcUbSNjCxcy4B92yhJSj2cZBUnp1GUnEZxchrFSanObb3kqyS5+V6XHUsOcsaGRUxav4CTNy0nraq8xf/sNpeQ0HgDd9UUE5EW0pSlSCx59tmATsuqKGXC5hVM2LwCcEa0NnbKYVnPId8aRVvRc8i3phODkV5RSkZFKZk1t+k1n/fbX8ikvAWMLljdtmUqQikpqfH7J0xwRsI02iUibUgJmUik+c9/WvQwD5ZB+woYtK+A7638CPj2KNr2rM5kVJTVS7BKDn/t3FdCemVZveSrDA/RNYIelFGj/B/LzFTtMBFpU0rIRGJYw1E0qeeKK9yOQETkME/zp4hImzrvPLcjiH1paXDddW5HISJymBIykUhz4oluRxDbkpPh/fe1JkxEIoqmLEUizbXXuh1B7EpNhW++ObIgrIiIyzRCJhJJvF5YtcrtKGJTZiZ88IGSMRGJSErIRCLJzJlOzSsJncREpyXS9u2qIyYiEUs/+UUiSV6e/+bW0jKJifCrX2nNmIhENCVkIpGktpeihE5ZWcDFdkVE3KKETCSSTJkSminL1FSnNZA4Zs92OwIRkSYpIROJJFlZTs/ErKzWjZQlJcHatf7bA0n4eb0wY4azfm3GjMYblouI1FDZC5FIU7+X4quvwscfQ0VFYI+t3wj7scegsjK8sUaLc89t2+drrEH5XXepQbmI+GWsja5edaNHj7aLFy92OwyRtuH1Qk5O46MrKSlw++0wYIDzdUFBXSPswkIY0rKG4jEnPR127my7Rf1Nfc+yspzvjTYYiMQkY8wSa+3oljxWI2Qikax2CrPhaEvtKFj90Rav1xlV+8Mf4F//ci/mcEtOdqZii4ubPzc1Fd57r20ToJkz/e+U9fmc42pcLiINKCETiXT1pzDz8+tGweonGQ2nyKLVTTfBP//p/3haGjz4oJNo/fOfsHBh0+fu2tX2o1F5ef6/B8XFzvdQRKQBJWQi0SAz0/+oitfrJGOxsGi8c2dnGnb69MaPJyY6TcEzM8FaWLmy8eQnKQkeecSdqcHa0iWNxZWR4STUIiINaJelSLRraoos0iQ28TdgbbLy6KPw8svfLv+RllY3fVubZDVVIiQ11Tnuhqbi8njci0tEIpoSMpFo19QUWaAuuwzuuQeuvDI0MTUmKQnuv9//qFX9ZOXyy+HgQadcxD33OKNdhYXfXjPXWImQjIwjE7e2FqlxiUhE05SlSLRraoosEElJ8OSTTqKQnR3a2GqlpzuL6ydMgLFj/W9SqJ+sNDVNWyuQ9XVuiNS4RCRiqeyFSLRrqsxCIN57DyZNcj5PSoKqqtbHlJgIQ4dC795ODbDadV+1ioqUrIhIzFHZC5F4VjsVdtZZTt/GYKSlOaNXtTp0gD17Wh9TVRWcdx7cd1/jxwMZ/RIRiSNaQyYSCyZMgI0bnWKxwSgtdaYPi4qcr19/PTTxaDehiEhQlJCJxIoePeDDD4Pvg1lbrBTg5JOdj9Zqbjeh+jyKiHyLpixFYknDxeS9ejn3P/+8/yKqDYuVXnstLFoE5eXBP39qqrMOrandhOrzKCJyBCVkIrGmsfVZKSn+i6g2nF7Myws8GUtJgVNOgZ49naKuw4Y1vUC/sSK2tTFNnqw+jyIStzRlKRIPgilWWltGIxDl5TBqFDzzDDz0kJMINpVQBdLnUUQkDkVd2QtjzG5gs9txxIguQAi21EmQXHnd20HmQMgF8IDHBz6ADZB3CIpqz0sAzwg41hPAH2w+8G2DrbsC/Pf0gZxs6O7v+G7YsQW2BXKtFtD73R163d2h190dQ6y1WS15YNRNWVprw1S5Mv4YYxa3tF6KtJxed3fodXeHXnd36HV3hzGmxYVSNWUpIiIi4jIlZCIiIiIuU0IW355wO4A4pdfdHXrd3aHX3R163d3R4tc96hb1i4iIiMQajZCJiIiIuEwJWRwxxnQyxnxgjMmrue3o57xNxpivjTHLW7NjJJ4ZY842xqwzxuQbY+5p5Lgxxvyt5vhXxpiRbsQZiwJ47U8zxhyseX8vN8b8xo04Y4kx5iljzC5jzEo/x/V+D4MAXne918PAGNPbGDPXGLPGGLPKGHNnI+cE/Z5XQhZf7gE+stbmAh/VfO3PRGvtcdo2HTxjTAIwHTgHGAZcYYwZ1uC0c3BqguUCNwOPt2mQMSrA1x7gs5r393HW2t+3aZCx6Rng7CaO6/0eHs/Q9OsOeq+HQxXwU2vtUcA44PZQ/IxXQhZfLgSerfn8WeC77oUS08YA+dbajdbaCuAVnNe+vguB56xjAdDBGNOjrQONQYG89hJi1tpPgX1NnKL3exgE8LpLGFhrt1trl9Z87gXWADkNTgv6Pa+ELL50s9ZuB+cNBXT1c54F3jfGLDHG3Nxm0cWOHGBrva8LOPI/ayDnSPACfV3HG2NWGGPeMcYc3TahxTW9392j93oYGWP6AccDCxscCvo9H3WV+qVpxpgPabw1zS+DuMxJ1tpCY0xX4ANjzNqav8QkMKaR+xpuZw7kHAleIK/rUqCvtbbIGDMZeJOallISNnq/u0Pv9TAyxmQCrwFTrbWHGh5u5CFNvuc1QhZjrLVnWmuHN/LxFrCzdsi05naXn2sU1tzuAt7AmQaSwBUAvet93QsobME5ErxmX1dr7SFrbVHN53OAJGNMl7YLMS7p/e4CvdfDxxiThJOMvWitfb2RU4J+zyshiy+zgOtqPr8OeKvhCcaYDGNMVu3nwCSg0R084teXQK4xpr8xJhm4HOe1r28WcG3NTpxxwMHa6WRplWZfe2NMd2OMqfl8DM7Pwb1tHml80fvdBXqvh0fNa/oksMZa+7Cf04J+z2vKMr7cD/zLGHMjsAX4HoAxpicww1o7GegGvFHzfzgReMla+65L8UYla22VMeYO4D0gAXjKWrvKGHNLzfG/A3OAyUA+UAJc71a8sSTA1/5S4FZjTBVQClxuVSG7VYwxLwOnAV2MMQXAb4Ek0Ps9nAJ43fVeD4+TgGuAr40xy2vu+wXQB1r+nlelfhERERGXacpSRERExGVKyERERERcpoRMRERExGVKyERERERcpoRMRERExGVKyERERERcpoRMRERExGVKyEQk7hhjTjDGfGWMSa3pTrHKGDPc7bhEJH6pMKyIxCVjzB+BVCANKLDW3udySCISx5SQiUhcqul1+SVQBpxora12OSQRiWOashSReNUJyASycEbKRERcoxEyEYlLxphZwCtAf6CHtfYOl0MSkTiW6HYAIiJtzRhzLVBlrX3JGJMAfGGMOd1a+7HbsYlIfNIImYiIiIjLtIZMRERExGVKyERERERcpoRMRERExGVKyERERERcpoRMRERExGVKyERERERcpoRMRERExGVKyERERERc9v8BKFEoz3KCp1wAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 691.2x388.8 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for n in range(1, 4):\n",
" plot_and_mse(data_train, data_test, n) "
]
},
{
"cell_type": "code",
"execution_count": 145,
"metadata": {},
"outputs": [],
"source": [
"# Ilość nauki do oceny"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>number_courses</th>\n",
" <th>time_study</th>\n",
" <th>Marks</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>3</td>\n",
" <td>4.508</td>\n",
" <td>19.202</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>4</td>\n",
" <td>0.096</td>\n",
" <td>7.734</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>4</td>\n",
" <td>3.133</td>\n",
" <td>13.811</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>6</td>\n",
" <td>7.909</td>\n",
" <td>53.018</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>8</td>\n",
" <td>7.811</td>\n",
" <td>55.299</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>95</th>\n",
" <td>6</td>\n",
" <td>3.561</td>\n",
" <td>19.128</td>\n",
" </tr>\n",
" <tr>\n",
" <th>96</th>\n",
" <td>3</td>\n",
" <td>0.301</td>\n",
" <td>5.609</td>\n",
" </tr>\n",
" <tr>\n",
" <th>97</th>\n",
" <td>4</td>\n",
" <td>7.163</td>\n",
" <td>41.444</td>\n",
" </tr>\n",
" <tr>\n",
" <th>98</th>\n",
" <td>7</td>\n",
" <td>0.309</td>\n",
" <td>12.027</td>\n",
" </tr>\n",
" <tr>\n",
" <th>99</th>\n",
" <td>3</td>\n",
" <td>6.335</td>\n",
" <td>32.357</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>100 rows × 3 columns</p>\n",
"</div>"
],
"text/plain": [
" number_courses time_study Marks\n",
"0 3 4.508 19.202\n",
"1 4 0.096 7.734\n",
"2 4 3.133 13.811\n",
"3 6 7.909 53.018\n",
"4 8 7.811 55.299\n",
".. ... ... ...\n",
"95 6 3.561 19.128\n",
"96 3 0.301 5.609\n",
"97 4 7.163 41.444\n",
"98 7 0.309 12.027\n",
"99 3 6.335 32.357\n",
"\n",
"[100 rows x 3 columns]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data_marks_all = pandas.read_csv('Student_Marks.csv')\n",
"data_marks_all"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"data_marks_all = data_marks_all[['time_study', 'Marks']]\n",
"# data_marks_all = data_marks_all.sample(frac=1)\n",
"data_marks_train = data_marks_all[0:70]\n",
"data_marks_test = data_marks_all[70:]\n",
"data_marks_train = np.matrix(data_marks_train).astype(float)\n",
"data_marks_test = np.matrix(data_marks_test).astype(float)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Wielomian 1 stopnia, MSE = 381.1693728350544\n",
"Wielomian 2 stopnia, MSE = 394.1863119057109\n",
"Wielomian 3 stopnia, MSE = 391.50171107305584\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 691.2x388.8 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 691.2x388.8 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 691.2x388.8 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for n in range(1, 4):\n",
" plot_and_mse(data_marks_train, data_marks_test, n) "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>age</th>\n",
" <th>sex</th>\n",
" <th>bmi</th>\n",
" <th>children</th>\n",
" <th>smoker</th>\n",
" <th>region</th>\n",
" <th>charges</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>955</th>\n",
" <td>31</td>\n",
" <td>male</td>\n",
" <td>39.490</td>\n",
" <td>1</td>\n",
" <td>no</td>\n",
" <td>southeast</td>\n",
" <td>3875.73410</td>\n",
" </tr>\n",
" <tr>\n",
" <th>644</th>\n",
" <td>43</td>\n",
" <td>male</td>\n",
" <td>35.310</td>\n",
" <td>2</td>\n",
" <td>no</td>\n",
" <td>southeast</td>\n",
" <td>18806.14547</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1210</th>\n",
" <td>36</td>\n",
" <td>male</td>\n",
" <td>30.875</td>\n",
" <td>1</td>\n",
" <td>no</td>\n",
" <td>northwest</td>\n",
" <td>5373.36425</td>\n",
" </tr>\n",
" <tr>\n",
" <th>260</th>\n",
" <td>58</td>\n",
" <td>female</td>\n",
" <td>25.200</td>\n",
" <td>0</td>\n",
" <td>no</td>\n",
" <td>southwest</td>\n",
" <td>11837.16000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>740</th>\n",
" <td>45</td>\n",
" <td>male</td>\n",
" <td>24.035</td>\n",
" <td>2</td>\n",
" <td>no</td>\n",
" <td>northeast</td>\n",
" <td>8604.48365</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>808</th>\n",
" <td>18</td>\n",
" <td>male</td>\n",
" <td>30.140</td>\n",
" <td>0</td>\n",
" <td>no</td>\n",
" <td>southeast</td>\n",
" <td>1131.50660</td>\n",
" </tr>\n",
" <tr>\n",
" <th>301</th>\n",
" <td>53</td>\n",
" <td>female</td>\n",
" <td>22.610</td>\n",
" <td>3</td>\n",
" <td>yes</td>\n",
" <td>northeast</td>\n",
" <td>24873.38490</td>\n",
" </tr>\n",
" <tr>\n",
" <th>664</th>\n",
" <td>64</td>\n",
" <td>female</td>\n",
" <td>22.990</td>\n",
" <td>0</td>\n",
" <td>yes</td>\n",
" <td>southeast</td>\n",
" <td>27037.91410</td>\n",
" </tr>\n",
" <tr>\n",
" <th>989</th>\n",
" <td>24</td>\n",
" <td>female</td>\n",
" <td>20.520</td>\n",
" <td>0</td>\n",
" <td>yes</td>\n",
" <td>northeast</td>\n",
" <td>14571.89080</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1121</th>\n",
" <td>46</td>\n",
" <td>male</td>\n",
" <td>38.170</td>\n",
" <td>2</td>\n",
" <td>no</td>\n",
" <td>southeast</td>\n",
" <td>8347.16430</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>1338 rows × 7 columns</p>\n",
"</div>"
],
"text/plain": [
" age sex bmi children smoker region charges\n",
"955 31 male 39.490 1 no southeast 3875.73410\n",
"644 43 male 35.310 2 no southeast 18806.14547\n",
"1210 36 male 30.875 1 no northwest 5373.36425\n",
"260 58 female 25.200 0 no southwest 11837.16000\n",
"740 45 male 24.035 2 no northeast 8604.48365\n",
"... ... ... ... ... ... ... ...\n",
"808 18 male 30.140 0 no southeast 1131.50660\n",
"301 53 female 22.610 3 yes northeast 24873.38490\n",
"664 64 female 22.990 0 yes southeast 27037.91410\n",
"989 24 female 20.520 0 yes northeast 14571.89080\n",
"1121 46 male 38.170 2 no southeast 8347.16430\n",
"\n",
"[1338 rows x 7 columns]"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data_ins = pandas.read_csv('insurance.csv')\n",
"data_ins = data_ins.sample(frac=1)\n",
"data_ins"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"data_ins = data_ins[['age', 'charges']]\n",
"data_ins_train = data_ins[0:1200]\n",
"data_ins_test = data_ins[1200:]\n",
"data_ins_train = np.matrix(data_ins_train).astype(float)\n",
"data_ins_test = np.matrix(data_ins_test).astype(float)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Wielomian 1 stopnia, MSE = 195836517.14979035\n",
"Wielomian 2 stopnia, MSE = 196081038.617658\n",
"Wielomian 3 stopnia, MSE = 196407183.82186848\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 691.2x388.8 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 691.2x388.8 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 691.2x388.8 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for n in range(1, 4):\n",
" plot_and_mse(data_ins_train, data_ins_test, n) "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"author": "Paweł Skórzewski",
"celltoolbar": "Slideshow",
"email": "pawel.skorzewski@amu.edu.pl",
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"lang": "pl",
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.12"
},
"livereveal": {
"start_slideshow_at": "selected",
"theme": "white"
},
"subtitle": "5.Regresja wielomianowa. Problem nadmiernego dopasowania[wykład]",
"title": "Uczenie maszynowe",
"year": "2021"
},
"nbformat": 4,
"nbformat_minor": 4
}