From 098239ba18dd8933aab6879e73992e03e5cd1e9c Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Miko=C5=82aj=20Pokrywka?= Date: Sat, 18 Jun 2022 12:59:24 +0200 Subject: [PATCH] prediction and datestes --- .gitignore | 1 + .../05_Regresja_wielomianowa-checkpoint.ipynb | 1053 ----------------- 05_Regresja_wielomianowa.ipynb | 708 ++++------- .../Student_Marks.csv => Student_Marks.csv | 0 archive(1).zip | Bin 949 -> 0 bytes archive.zip | Bin 16425 -> 0 bytes salary.zip | Bin 378 -> 0 bytes 7 files changed, 258 insertions(+), 1504 deletions(-) create mode 100644 .gitignore delete mode 100644 .ipynb_checkpoints/05_Regresja_wielomianowa-checkpoint.ipynb rename archive(1)/Student_Marks.csv => Student_Marks.csv (100%) delete mode 100644 archive(1).zip delete mode 100644 archive.zip delete mode 100644 salary.zip diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..87620ac --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +.ipynb_checkpoints/ diff --git a/.ipynb_checkpoints/05_Regresja_wielomianowa-checkpoint.ipynb b/.ipynb_checkpoints/05_Regresja_wielomianowa-checkpoint.ipynb deleted file mode 100644 index 6eee57e..0000000 --- a/.ipynb_checkpoints/05_Regresja_wielomianowa-checkpoint.ipynb +++ /dev/null @@ -1,1053 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "# Regresja wielomianowa" - ] - }, - { - "cell_type": "code", - "execution_count": 88, - "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": 89, - "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": 90, - "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": 91, - "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": 92, - "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": 101, - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "outputs": [ - { - "data": { - "text/html": [ - "
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sqrMetresprice
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" - ], - "text/plain": [ - " sqrMetres price\n", - "0 78 476118.0\n", - "1 62 459531.0\n", - "2 15 411557.0\n", - "3 14 496416.0\n", - "4 15 406032.0\n", - "... ... ...\n", - "1669 51 299000.0\n", - "1670 53 339000.0\n", - "1671 65 320000.0\n", - "1672 67 364000.0\n", - "1673 50 209000.0\n", - "\n", - "[1674 rows x 2 columns]" - ] - }, - "execution_count": 101, - "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" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# alldata = np.matrix(alldata[['sqrMetres', 'price']])\n", - "data_train = alldata[0:1600]\n", - "data_test = alldata[1600:]\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[3.97959184e-01 4.76118000e+05]\n", - " [3.16326531e-01 4.59531000e+05]\n", - " [7.65306122e-02 4.11557000e+05]\n", - " ...\n", - " [3.31632653e-01 3.20000000e+05]\n", - " [3.41836735e-01 3.64000000e+05]\n", - " [2.55102041e-01 2.09000000e+05]]\n" - ] - }, - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", 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100 rows × 3 columns

\n", - "
" - ], - "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": 67, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "data_marks_all = pandas.read_csv('archive(1)/Student_Marks.csv')\n", - "data_marks_all" - ] - }, - { - "cell_type": "code", - "execution_count": 77, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 77, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "data_marks_all = data_marks_all[['time_study', 'Marks']]\n", - "data_marks_all = data_marks_all.sample(frac=1)\n", - "data_marks = data_marks_all[0:70]\n", - "data_marks_test = data_marks_all[70:]\n", - "data_marks = np.matrix(data_marks).astype(float)\n", - "n = 1 # Wielomian pierwszego stopnia\n", - "\n", - "x, y = get_poly_data(np.array(data_marks), n)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" - ] - }, - { - "cell_type": "code", - "execution_count": 73, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 73, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "n = 2 # Wielomian drugiego stopnia\n", - "\n", - "x, y = get_poly_data(np.array(data_marks), n)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" - ] - }, - { - "cell_type": "code", - "execution_count": 74, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "40.024\n", - "[[1. 0.80130703 0.64209295]]\n", - "[0.8013070252607767]\n" - ] - }, - { - "data": { - "text/plain": [ - "array([37.16059534])" - ] - }, - "execution_count": 74, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "\n", - "\n", - "n = 2 # Wielomaian pierwszego stopnia\n", - "x, y = get_poly_data(np.array(data_marks), n)\n", - "model = polynomial_regression(x, y, n)\n", - "\n", - "index = 2\n", - "print(data_marks[index].item(1))\n", - "print(x[index])\n", - "print([x[index].item(1)])\n", - "model([x[index].item(1)])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 87, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Wielomian 1 stopnia, MSE = 465.8122515203192\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "\n", - "\n", - "# data_marks_test\n", - "plot_and_mse(data_marks, data_marks_test, 1) " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Archive: archive.zip\n", - "replace insurance.csv? [y]es, [n]o, [A]ll, [N]one, [r]ename: ^C\n" - ] - } - ], - "source": [ - "!unzip archive.zip" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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agesexbmichildrensmokerregioncharges
30941female33.0602nonorthwest7749.15640
69653female32.3002nonortheast29186.48236
26120female26.8401yessoutheast17085.26760
93739female24.2255nonorthwest8965.79575
89136female29.0404nosoutheast7243.81360
........................
58419male20.7000nosouthwest1242.81600
106648male37.2902nosoutheast8978.18510
102521female34.6000nosouthwest2020.17700
83136female25.8400nonorthwest5266.36560
4936male35.2001yessoutheast38709.17600
\n", - "

1338 rows × 7 columns

\n", - "
" - ], - "text/plain": [ - " age sex bmi children smoker region charges\n", - "309 41 female 33.060 2 no northwest 7749.15640\n", - "696 53 female 32.300 2 no northeast 29186.48236\n", - "261 20 female 26.840 1 yes southeast 17085.26760\n", - "937 39 female 24.225 5 no northwest 8965.79575\n", - "891 36 female 29.040 4 no southeast 7243.81360\n", - "... ... ... ... ... ... ... ...\n", - "584 19 male 20.700 0 no southwest 1242.81600\n", - "1066 48 male 37.290 2 no southeast 8978.18510\n", - "1025 21 female 34.600 0 no southwest 2020.17700\n", - "831 36 female 25.840 0 no northwest 5266.36560\n", - "49 36 male 35.200 1 yes southeast 38709.17600\n", - "\n", - "[1338 rows x 7 columns]" - ] - }, - "execution_count": 14, - "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": 15, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[33.06 41. ]\n", - " [32.3 53. ]\n", - " [26.84 20. ]\n", - " ...\n", - " [34.6 21. ]\n", - " [25.84 36. ]\n", - " [35.2 36. ]]\n" - ] - } - ], - "source": [ - "data_ins = data_ins[['bmi', 'age']]\n", - "data_ins = np.matrix(data_ins).astype(float)\n", - "print(data_ins)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "n = 1 # Wielomaian pierwszego stopnia\n", - "\n", - "x, y = get_poly_data(np.array(data_ins), n)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "29.735 1.0\n" - ] - }, - { - "ename": "NameError", - "evalue": "name 'a' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/tmp/ipykernel_6535/4031094360.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mindex\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m10\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata_ins\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m \u001b[0ma\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;31mNameError\u001b[0m: name 'a' is not defined" - ] - } - ], - "source": [ - "n = 1 # Wielomaian pierwszego stopnia\n", - "\n", - "x, y = get_poly_data(np.array(data_ins), n)\n", - "model = polynomial_regression(x, y, n)\n", - "\n", - "index = 10\n", - "print(data_ins.item(index), x.item(index))\n", - "a([x.item(index)])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "n = 2 # Wielomian 2 stopnia\n", - "x, y = get_poly_data(np.array(data_ins), n)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "n = 3 # Wielomian 3 stopnia\n", - "x, y = get_poly_data(np.array(data_ins), n)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" - ] - } - ], - "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": "3.8.12" - }, - "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 -} diff --git a/05_Regresja_wielomianowa.ipynb b/05_Regresja_wielomianowa.ipynb index 01f7001..2a343b3 100644 --- a/05_Regresja_wielomianowa.ipynb +++ b/05_Regresja_wielomianowa.ipynb @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 137, "metadata": { "slideshow": { "slide_type": "notes" @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 138, "metadata": { "slideshow": { "slide_type": "notes" @@ -92,7 +92,7 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 139, "metadata": {}, "outputs": [], "source": [ @@ -102,7 +102,7 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 140, "metadata": { "slideshow": { "slide_type": "fragment" @@ -146,7 +146,7 @@ }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 141, "metadata": {}, "outputs": [], "source": [ @@ -170,7 +170,7 @@ }, { "cell_type": "code", - "execution_count": 101, + "execution_count": 152, "metadata": { "slideshow": { "slide_type": "notes" @@ -204,29 +204,29 @@ " \n", " \n", " \n", - " 0\n", - " 78\n", - " 476118.0\n", + " 49\n", + " 37\n", + " 338000.00\n", " \n", " \n", - " 1\n", - " 62\n", - " 459531.0\n", + " 1171\n", + " 90\n", + " 855000.00\n", " \n", " \n", - " 2\n", - " 15\n", - " 411557.0\n", + " 368\n", + " 16\n", + " 399000.00\n", " \n", " \n", - " 3\n", - " 14\n", - " 496416.0\n", + " 1206\n", + " 58\n", + " 359602.00\n", " \n", " \n", - " 4\n", - " 15\n", - " 406032.0\n", + " 1500\n", + " 20\n", + " 424977.14\n", " \n", " \n", " ...\n", @@ -234,29 +234,29 @@ " ...\n", " \n", " \n", - " 1669\n", - " 51\n", - " 299000.0\n", + " 50\n", + " 78\n", + " 420000.00\n", " \n", " \n", - " 1670\n", - " 53\n", - " 339000.0\n", + " 396\n", + " 52\n", + " 275000.00\n", " \n", " \n", - " 1671\n", - " 65\n", - " 320000.0\n", + " 1367\n", + " 55\n", + " 192750.00\n", " \n", " \n", - " 1672\n", - " 67\n", - " 364000.0\n", + " 771\n", + " 62\n", + " 558745.00\n", " \n", " \n", - " 1673\n", - " 50\n", - " 209000.0\n", + " 337\n", + " 55\n", + " 246330.00\n", " \n", " \n", "\n", @@ -264,23 +264,23 @@ "" ], "text/plain": [ - " sqrMetres price\n", - "0 78 476118.0\n", - "1 62 459531.0\n", - "2 15 411557.0\n", - "3 14 496416.0\n", - "4 15 406032.0\n", - "... ... ...\n", - "1669 51 299000.0\n", - "1670 53 339000.0\n", - "1671 65 320000.0\n", - "1672 67 364000.0\n", - "1673 50 209000.0\n", + " sqrMetres price\n", + "49 37 338000.00\n", + "1171 90 855000.00\n", + "368 16 399000.00\n", + "1206 58 359602.00\n", + "1500 20 424977.14\n", + "... ... ...\n", + "50 78 420000.00\n", + "396 52 275000.00\n", + "1367 55 192750.00\n", + "771 62 558745.00\n", + "337 55 246330.00\n", "\n", "[1674 rows x 2 columns]" ] }, - "execution_count": 101, + "execution_count": 152, "metadata": {}, "output_type": "execute_result" } @@ -291,36 +291,40 @@ "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": 102, + "execution_count": 153, "metadata": {}, "outputs": [], "source": [ "# alldata = np.matrix(alldata[['sqrMetres', 'price']])\n", "data_train = alldata[0:1600]\n", - "data_test = alldata[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": 105, + "execution_count": 144, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Wielomian 1 stopnia, MSE = 31777996749.774563\n", - "Wielomian 2 stopnia, MSE = 80047128653.54173\n" + "Wielomian 1 stopnia, MSE = 41910519165.43458\n", + "Wielomian 2 stopnia, MSE = 60658890503.01548\n", + "Wielomian 3 stopnia, MSE = 63228721451.021095\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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\n", 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YGYH1B8uxp6RS63CIiEJCSUUtVu4+Br1OIHtsutbhEHkdEzIvi4824IbR6psFS2AQEXnHkg0FsEjg0sHJ6BofrXU4RF7HhMwHbNOWH28twqkalsAgImqPRrMF726wLuZnZX4KUT5LyIQQ6UKI1UKI3UKIXUKIB+xcI4QQLwgh8oQQ24UQI30Vjz9lJMXh3H5JqGu0YOnGAq3DISIKait3H8NxUz0yu8ZhXO/OWodD5BO+HCFrAvCwlHIggPEAZgshBra65jIAmdY/dwJ4yYfx+JWtv+Ub6w7DbJHaBkNEFMTeXKcq8980vieEEBpHQ+QbPkvIpJQlUsrN1r+bAOwBkNrqsqsBvCGVnwF0FEKERGOyc/sloVeXWBSdqmUJDCKiNso7bsK6/BOIjYzA1JGtf4QQhQ6/rCETQvQCMALA+lanUgG0nNMrxJlJW1BSJTB6AQBeZwkMIqI2eetntXbs6uGp6BBt0DgaIt/xeUImhIgDsAzAHCllm+pACCHuFELkCCFySktLvRugD10/Og2xkRFYl38C+46atA6HiCio1DQ0YdmmQgDATeNZmZ9Cm08TMiGEASoZe1tK+aGdS4oAtCwok2Y99gtSyleklKOllKOTkpJ8E6wPdIg24LqRaQCAxesOaRsMEVGQ+XRrMUz1TRjZoyMGpSRoHQ6RT/lyl6UA8BqAPVLKZx1c9imAW6y7LccDqJBSlvgqJi3MPFtt0f5ocxEqaho1joaIKDhIKfHmz2ox/81nsdQFhT5fjpBNAHAzgMlCiK3WP1OEEHcLIe62XrMCQD6APACvAviND+PRRN+u8TgnMxG1jWa8l8MSGERE7thacAq7iivRKdaAywaHxF4vIqf0vrqxlHINAKf7k6WUEsBsX8UQKG49uxd+zC3D4nWH8OuJvRGh47ZtIiJnbKNj08akI9oQoXE0RL7HSv1+cF5WV/ToHIvCk7VYtfe41uEQEQW0k9UN+Hx7CYQAbhzL6UoKD0zI/CBCJ063U2J/SyIi597fVICGJgvO7ZeEHl1itQ6HyC+YkPnJDaPTEWOIwJq8MuQeYwkMIiJ7LBaJt9er2mM3s28lhREmZH6SEGPAtdYq0yyBQURk3495ZTh8ogapHWNwXlZXrcMh8hsmZH4009rf8sPNRaioZQkMIqLWbH0rZ4zrwQ1QFFaYkPlRv27xmNC3C2oazHifJTCIiH6h6FQtVu09BkOEQPaYdNdPIAohTMj8bKa1v+Ub6w7DbJHaBkNEFECWrD8CiwQuG9wdiXFRWodD5FdMyPzsggHdkNYpBkfKa/DdPpbAICICgIYmC97dqGYObuJifgpDTMj8rGUJjNdZAoOIQpXJBCxaBDz6qHo0Od9d/uWuoyirqkdWt3iM6dXJT0ESBQ4mZBqYNjod0QYdfswtQ97xKq3DISLyrjVrgNRUYM4cYO5c9Ziaqo7bIaXEqz/kA1B9K1UrZKLwwoRMAx1jIzF1RBoA4A2WwCCiUGIyAVOmqMfqanWsurr5eNWZv4SuO3ACO4oq0MUYietHpfk5YKLAwIRMIzPPVtOWyzYVorKOJTCIKEQsXQpYLPbPWSzqfCsvfX8AgOr7y76VFK6YkGmkf3IHjM/ojOoGMz7IKdQ6HCIi78jNbR4Za626GsjL+8WhXcUV+DG3DLGREbj5LC7mp/DFhExDt57dG4CatrSwBAYRhYLMTMBotH/OaAT69v3Fof98r9aOTR/TAx1jI30dHVHAYkKmoQsHdEVqxxgcOlGD73NLtQ6HiKj9srMBnYMfLTqdOm9VUF6D5TtKoNcJzDqnt58CJApMTMg0pI/QnR6if/2nQ9oGQ0TkDfHxwIoV6tE2UmY0Nh+Pizt96aIf82G2SFw1LAWpHWM0CpgoMOi1DiDcZY9Ox3Mr9+P7/aXIL61CRlKc6ycREQWyiROB4mK1gD8vT01TZmf/Ihkrr27AUmsLuTvPzdAqUqKAwYRMY52MkbhmeCqW5hTgjXWH8derBmkdEhFR+8XFAbNmOTy9eO0h1DVacH5WEvond/BjYESBiVOWAWDm2b0AAB9sKkRVfZO2wRAR+VhNQ9PpGox3n9tH22CIAgQTsgAwMKUDxvbujKr6JizbxBIYRBTa3ttYgJM1jRie3hFje3fWOhyigMCELEDcah0lW7yWJTCIKHQ1mS149ceDANToGNskESlMyALExQO7oXtCNPLLqvFjXpnW4RAR+cTyHSUoOlWLjEQjLhrYTetwiAIGE7IAoY/Q4abxqgTGoh/zNY6GiMj7pJR42VoI9s5JGYjQcXSMyIYJWQC5cVwPGCMj8GNuGbYVnNI6HCLyBZMJWLQIePRR9WgyaR2R3/yQW4Y9JZVIio/CNSNStQ6HKKAwIQsgHWMjcZO1UOz81XkuriaioLNmDZCaCsyZA8ydqx5TU9XxMPAfaxPxX0/ozSbiRK0wIQswt0/MQJReh5W7j2Hv0UqtwyEibzGZgClT1KOt+XZ1dfPxqipt4/Ox7YWnsPbACcRF6TFjXA+twyEKOEzIAkxSfBR+NVZ9s1q4+oDG0RCR1yxdClgs9s9ZLOp8CLM1Eb9xXA8kxBg0joYo8DAhC0B3TsqAIULg8+3FOFhWrXU4ROQNubnNI2OtVVerFkMh6lBZNb7YWQJDhMBtE9hEnMgeJmQBKKVjDK4dkQaLBF76LnS/SROFlczM5mbbrRmNqt9jiHr1x3xYJDB1RCqSE6K1DocoIDEhC1D3nNcHOgF8uLkIRadqtQ6HiNorOxvQOfiWq9Op8yGo1FSP960dSO6cxCbiRI4wIQtQvRKNuHJYCpos8vTOJCIKYvHxwIoV6tE2UmY0Nh+Pi9M2Ph9ZvPYQGposuHBAN/TtGq91OEQBiwlZAPvNeWoK492NBThuqtM4GiJqt4kTgeJiYN484LHH1GNxsToegqrrm5uI33MeR8eInNFrHQA5lpUcj0sGdcNXu47htR8P4vEpA7QOiYjaKy4OmDVL6yj8YsmGI6isa8Lonp0wqiebiBM5wxGyAHfv+ZkAgDd/PoyT1Q0aR0NE5J5GswWvrWluIk5EzjEhC3BD0hIwqV8SahrM+N/aQ1qHQ0Tklk+3FqOkog6ZXeMwuX9XrcMhCnhMyILAveertWSv/3QQprpGjaMhInJOSon//KA2I905KQM6NhEncokJWRAY27szxvbujMq6Jrz582GtwyEicmr1vuPYf6wKyR2icfVwNhEncgcTsiBhGyV77ceDqG0waxwNEQUVkwlYtAh49FH1aDL59OVetrZJmjWxNyL1/DFD5A5+pQSJczITMTQtASeqG/DuxiNah0NEwWLNGiA1FZgzB5g7Vz2mpqrjPrD5yElsOFiO+Gg9po9N98lrEIUiJmRBQghxepTslR/yUd/EUTIicsFkAqZMUY+2PprV1c3Hq6q8/pK2QtY3j++J+Gg2ESdyFxOyIHLhgG7I6haPkoo6fLi5SOtwiCjQLV0KWCz2z1ks6rwXHSitwte7jyFSr8OtE3p59d5EoY4JWRDR6QR+c76q5/PSdwfQZHbwjZaICAByc5tHxlqrrgby8rz6cq/+kA8pgetGpqFrPJuIE3mCCVmQuWJoCnonGnGkvAafby/ROhwiCmSZmc19M1szGoG+fb32Uscr1ci9EMAd5/T22n2JwgUTsiAToRO4x1r1esHqPFgsUuOIiChgZWcDOgff5nU6dd5L/vvTITSYLbh0UDIykkKzUTqRLzEhC0LXjEhFSkI0co9X4evdR7UOh4gCVXw8sGKFerSNlBmNzcfjvJM4VdY14m1rjcS72CaJqE2YkAWhSL0Od5+nvunNX50HKTlKRkQOTJwIFBcD8+YBjz2mHouL1XEvWbL+CEz1TRif0RnD0zt67b5E4USvdQDUNtNGp+OFb/Ows6gS3+0vxflZ7BVHRA7ExQGzZvnk1vVN5tNNxDk6RtR2HCELUtGGiNMLZxes4igZEWnjky3FOG6qR//keJzXL0nrcIiCFhOyIHbj+J5IiDEg5/BJrD9YrnU4RBRmLBaJl61NxO86NwNCsIk4UVsxIQticVF6/HqCGiWbv8q79YSIiFz5ctdR5JdWI7VjDK4YmqJ1OERBjQlZkLv17F6Ii9JjTV4Zthac0jocIgoTTWYL/v31PgDA3ef1gSGCP06I2sNnX0FCiP8KIY4LIXY6OH+eEKJCCLHV+ufPvoollCXEGnDT+J4AOEpGRP7z4eYi5JdWo0fnWGSPZhNxovby5a80rwO41MU1P0oph1v/POHDWELa7ef0RrRBh2/2HMOekkqtwyGiEFfXaMbz3+wHADx0UT9E6jk6RtRePvsqklL+AIArzf0gMS4K08f0AKCq9xMR+dLb64+guKIO/ZPjcdUwrh0j8gatf605SwixTQjxhRBikKOLhBB3CiFyhBA5paWl/owvaNx1bgYMEQLLd5Qgv7RK63CIKERV1Ted/sXvkYuzoNNxZyWRN2iZkG0G0FNKOQzAiwA+dnShlPIVKeVoKeXopCTWubGne0IMrh+VBimBl747oHU4RBSiXvvxIMqrGzCyR0dcMIAFqYm8RbOETEpZKaWssv59BQCDECJRq3hCwd3n9oFOAB9tKULhyRqtwyGiEFNe3YBXf8wHAPzu0v6sO0bkRZolZEKIZGH9ahZCjLXGckKreEJBzy5GXDUsBU0Wif98n691OEQUYl76Lg9V9U2Y1C8J4zO6aB0OUUjxZdmLJQDWAcgSQhQKIWYJIe4WQtxtveR6ADuFENsAvABgumT/n3b7zfl9AQBLcwpwvLJO42iIKFSUVNRi8brDAIDfXZKlcTREocdnzcWllL9ycX4+gPm+ev1w1a9bPC4dlIwvdx3Fqz/m4w+XD9Q6JCIKAS98m4uGJgsuH9odg1MTtA6HKORovcuSfGC2dZTs7fVHcLK6QeNoiCjY5ZdW4b2cQkToBB6+qJ/W4RCFJCZkIWhIWgLO7ZeEmgbz6ca/RERt9ezK/TBbJG4YlYaMpDitwyEKSUzIQtRD1t9i//fTIe64JKI221lUgc+3lyBSr8MDF2ZqHQ5RyGJCFqKGpXfEVcNS0NBkwTNf79c6HCIKUrYG4reM74nuCTEaR0MUupiQhbDfXpKFyAgdPtpShJ1FFVqHQ0RBZsPBcny3rxRxUfrTO7iJyDdcJmRCiPuEEJ38EQx5V3rnWMw8uycA4B/L94BVRYjIXVJKzP1yLwDg9nN6o7MxUuOIiEKbOyNk3QBsFEK8J4S4VLA0c1C59/xMJMQYsC7/BFbvO651OETNTCZg0SLg0UfVo8mkdUTUwqq9x5Fz+CQ6GyNx+zkZWodDFPJcJmRSyj8CyATwGoBbAeQKIf4phOjj49jICxJiDbhvsppqeHLFXjSZLRpHRARgzRogNRWYMweYO1c9pqaq46Q5i0XiX1+ptWO/Oa8P4qJ8VrKSiKzcWkNmraB/1PqnCUAnAB8IIeb6MDbykpvP6on0zjHIPa5qCRFpymQCpkxRj9XV6lh1dfPxqipt4yN8tr0Ye4+akJIQjZvG99Q6HKKw4M4asgeEEJsAzAXwE4AhUsp7AIwCcJ2P4yMviNJH4NFL+wNQ9YSq65s0jojC2tKlgMXBSK3Fos6TZhrNFjy7Uu3MfuDCTEQbIjSOiCg8uDNC1hnAtVLKS6SU70spGwFASmkBcIVPoyOvuXxIdwxP74iyqnq88gMbj5OGcnObR8Zaq64G8vL8Gw/9wtKNBTh8ogYZSUZcNzJN63CIwoY7a8j+IqU87ODcHu+HRL4ghMAfLh8AAHjlh3wcY+Nx0kpmJmA02j9nNAJ9WV5BK7UNZrzwbS4A4OGLsqCPYGUkIn/hV1sYGdOrMy4Z1A21jWY8t5LFYkkj2dmAzsG3Hp1OnSdNLF53CMdN9Ric2gGXDU7WOhyisMKELMw8eml/6HUC7+UUYN9RlhkgDcTHAytWqEfbSJnR2Hw8jr0StVBR24iXvlO9b397SX/odKxwRORPTMjCTEZSHGaM6wGLBJ78gjPOpJGJE4HiYmDePOCxx9RjcbE6Tpp49Yd8VNQ2YlzvzpiUmah1OERhh8VlwtADF2Tiw81F+G5fKdbklmEiv/mSFuLigFmztI6CAJSa6vHfnw4CAH53aX+w/jeR/3GELAx1iYvCPeepur7/XLEHFgtbKhGFswWr81DTYMaFA7phVE92yiPSAhOyMDVrYm90T4jG7pJKfLSlSOtwiEgjBeU1eHv9YQgB/PaSLK3DIQpbTMjCVLQhAo9crL75/vvrfahrNGscERFp4flvctFolrhmeCqykuO1DocobDEhC2NTR6RiYPcOKKmow2trDmodDhH5We4xEz7aUgi9TuDBC/tpHQ5RWGNCFsZ0uuZisS99dwAnquo1joiI/OnfX++DRQK/GtsDPbrEah0OUVhjQhbmJvRNxHlZSaiqbzpdoZuIQt/WglP4atcxRBt0uG8yuyMQaY0JGeHxywZAJ4C31x9BfmmV1uEQkR/866u9AIDbJvRG1w7RGkdDREzICFnJ8Zg2Oh1NFomnv9yrdThE5GM/5ZXhp7wT6BCtx92T+mgdDhGBCRlZPXRRP8QYIvDVrmPYeKhc63CIyEeklJj71T4AwF3n9kFCrEHjiIgIYEJGVl07ROOOSRkAgH8s3wMpWSyWKBQt21yEbQWnkBQfhdsm9NI6HCKyYkJGp901KQOJcVHYWnAKy3eUaB0OhTqTCVi0CHj0UfVoYrN7XztV04B/rlA9bB+/rD9iI9k9jyhQMCGj04xRejx0kapF9PSXe1HfxGKx5CNr1gCpqcCcOcDcueoxNVUdJ595+st9KK9uwPiMzpg6IlXrcIioBSZk9AvTRqchs2scCspr8ea6w1qHQ6HIZAKmTFGP1dXqWHV18/Eq7vT1hc1HTmLJhiMwRAj8/ZrBbCBOFGCYkNEv6CN0eHxKfwDAi6vyUFHTqHFEFHKWLgUsFvvnLBZ1nryqyWzBHz7aCQC445wM9O3KFklEgYYJGZ3h/KyuOCujCypqGzF/NYvFkpfl5jaPjLVWXQ3k5Xl2P65Fc2nxusPYU1KJtE4xuG9yptbhEJEdTMjoDEI0t1RavPYwCsprNI6IAkpxMTBzJjBunHosLvbs+ZmZgNFo/5zRCPT1oGo816K5dLSiDs9+rcpc/N9VgxATGaFxRERkDxMysmtwagKmjkhFg9mCf1lrFhFh4UKV8LzxBrBhg3pMTVXH3ZWdDegcfOvR6dR5d3Atmlv+9vluVDeYcfHAbrhgQDetwyEiB5iQkUMPX9wPkXodPt1WjG0Fp7QOh3zF3Sm/4mJg9mz752bPBo4ede/14uOBFSvUo22kzGhsPh4X5959uBbNpe/3l2L5jhLEGCLwl6sGaR0OETnBhIwcSusUi19P6A0A+McKFosNSZ5M+T3+uPN7PfaY+687caJK8ObNU8+bN0/9e+JE9+/h7bVoIaau0Yw/f6IW8s+5MBOpHWM0joiInGFVQHLqN+f3wdKNR7DhYDk+316CK4elaB0SeUvLKT8bW4IzZYpKkFqOVu110ed0n4dT23FxwKxZnj2nJdtaNHtJmadr0ULQwu8O4PCJGmR1i8evJ/bWOhwicoEjZORUh2gDfnuJKoPxf5/twsnqBo0jIq/xdMqvf3/n98vK8k5c7vLWWrQQlF9ahZe/OwAA+PvUwTBE8Fs9UaDjVym5NH1MOsb17oyyqgb8bflurcMhb/F0yu/JJ53f76mnvBOXu7y1Fi3ESCnx5092ocFswQ2j0jCmV2etQyIiNzAhI5d0OoGnrhuKKL0OH24uwvf7S7UOibzB0/ITKSnAggX2r1+wAEhO9m587vDGWrQQ89n2EqzJK0PHWAMenzJA63CIyE0i2BZqjx49Wubk5GgdRlh6+fsDeOqLvUjtGIOvHpyEuCguQQxqJpNawG9vV2V8/JlryGyOHlXJz759apryqae0ScboDJV1jbjgme9RaqrHU9cOwfSxPbQOiSisCCE2SSlHt+W5HCEjt90+sTcGp3ZA0ala/Ju1yYJfW6f8kpOB118H1q1Tj0zGAsazX+9HqakeI3t0xLTR6VqHQ0QeYEJGbtNH6PD0dUMRoRNYvO4QNh0u1zokai9O+YWMnUUVeGPdIUToBP4xdQh0OjYPJwomnHMijwxKScDd52ZgweoDeHTZDiy/fyKi9GzFEtTaW36CNGe2SPzhox2wSOD2Cb0woHsHrUMiIg9xhIw8dt/kTGQkGZF3vAoLVoV38U2iQPDOhiPYVliB5A7RmHNRP63DIaI2YEJGHos2RODp64YCUMUn95RUahwRUfgqNdVj7peqaO9frhyIuIZa91phEVFAYUJGbTKmV2fcPL4nmiwSjy7bjiazgwKjRORT/1yxB6a6JpyXlYRLT+W53wqLiAIKEzJqs99dmoWUhGhsL6zA/346pHU4RGFn7YEyfLSlCFF6HZ64oBfE5ZerETFbwd/q6uYWWVVV2gZLRE4xIaM2i4824B9ThwAAnlm5D4dPOKj6TkRe19BkwZ8+Vs3D7z2/L3p8/alnrbCIKKAwIaN2Ob9/V1wzPAV1jRY8/uEOBFuhYaJg9eqP+ThQWo2MJCPuPDfD81ZYRBRQmJBRu/35ykHobIzE2gMn8F5OgdbhULgzmUJ+UXtBeQ1e+DYXAPD3qwer0jOetsIiooDC1knkFZ9sLcID725FfLQe3zx0Lrp1iNY6JApHa9ao9VIWixoVMhoBnQ744APgyBE1ipSZqa5ZsaL539nZqkOBt5hMaoqwPfd3cA8pJWYtzsGqvcdx9fAUzJs+ovn6trTCIiKvaU/rJJ8lZEKI/wK4AsBxKeVgO+cFgHkApgCoAXCrlHKzq/syIQtMUkrcvjgH3+49josHdsN/bh4F9SEmn/DGD/xQ4ywhAYDYWKCmBoiOBurqmh9tSduKFd7pUOAoKfTk/k7u8WXHvrj7rU2Ij9bj24fPRdf4aLeex+4LRL4XqAnZJABVAN5wkJBNAXAfVEI2DsA8KeU4V/dlQha4SipqcdGzP6CqvgkLbxyJKUO6ax1SaOIPXfsWLQLuu08lWW3hjVEkb4xSOblHdadEXPjwEpSY6vHE1YNwy1m9znx+VZVK1vPy1DRldjZHxoj8JCCbi0spfwDgrNnh1VDJmpRS/gygoxCCP8GDWPeEGDx2WX8AwJ8/2YlTNQ0aRxSCbCUMWNrgTDt3tj0ZA4DaWmD27PatOVu6tP07HZ3cY97oa1FiqsfQtATcOK6n/efbWmE9+aR6ZDJGFBS0XNSfCqDlCvBC67EzCCHuFELkCCFySktL/RIctc2MsT0wtndnlFU14O/L92gdTujxxg/8UHXyZPue39QELFnSvkKq3tjp6OAeexN74rXhl0NA4u/XDEYEm4cThZSg2GUppXxFSjlaSjk6KSlJ63DICZ1O4KlrhyBSr8MHmwrxw34m0F7F0gaOde7c/ns0NrZvtNEbOx3t3KNJ6PCHS2bDrIvATQk1GJrW0fPYiCigaZmQFQFIb/HvNOsxCnIZSXF48ELV4Pj3H+1AdX2TxhGFEJY2cGzQILVQ3xvaOtqYna3W89mj06nzbbjHi2dPx6a0gehafRKP3HGx53ERUcDTMiH7FMAtQhkPoEJKWaJhPORFd5zTG4NSOqDwZC3+/fU+rcMJHd74gR+qsrMBg8H9653tAm7raGN8vNpcER/fnDgbjc3H3VnP1eoeP6cPxotnT4eQFjx/QRoSEjt6HhcRBTy9r24shFgC4DwAiUKIQgB/AWAAACnlywBWQO2wzIMqe3Gbr2Ih/9NH6PD0dUNx9YKf8PraQ7hyWApG9uikdVjBz/bD2tEuy3BewG3vvXFGSkCvV2vHWmvPaOPEiWo3ZXt2OlrvUf7Oe5iT3xEW6HDvhB44+8ohbYuJiAIeC8OST839ci8WfncAmV3j8Pn9E1VFcWo/ljZwzPbePPccsGuX82sdJWQBUEhVSok73sjBN3uOY3TPTnj3zvHQRwTFsl+isBWQZS+IAOD+CzKRkWhE7vEqLFx9QOtwQgdLGzhme28crbVryV4yFhsbEKONr689hG/2HEeHaD2enz6cyRhRiONXOPlUtCECT103FACw8Ls87D1aqXFEFDb692/b83Q6YPhwr4biqZ1FFXhyxV4AwNzrhyKtU6ym8RCR7zEhI58b27szbhrfA41miUeX7YDZElzT5KSh9jQKf/LJtr2mlMDixc5f14cNzKvrm3Dfki1oMFtw0/geuHQw62UThQOuISO/MNU14uLnfkBJRR3+ePkA3H5OhtYhUaDzRouohQtV9X1PRUaqHZv2XtfHrasefm8blm0uRP/keHw8ewKiDVx3SRQsArKXpa8wIQteq/Yew69fz0G0QYdPZk9EVnKYN8Mmx7zRE9ImLw/IynLc4cBd8fHAvn3qXt6Iy46PthTiwaXbEG3Q4bN7JyKzG79GiIIJF/VTUJjcvxtuGJWGukYL7n5rEyrrGrUOiQLV0qWqar49jY2eFW397jsgJqb9MVkswGOP+ax11cGyavzxo50AgL9eOYjJGFGYYUJGfvXE1YMxoHsHHCyrxiPvbUOwjdCSnzhrFF5XB+ze7f69nLWbApqLyRqNzgvLVlerETIftK6qbzLjviWbUd1gxuVDuyN7TLrrJxFRSPFZYVgie2IiI/DyTSNxxYtr8PXuY3j5+3zcc14frcMirZhMalQpN1e1hcrOVlN/rhqFnzjh+h6249u2qTVhDQ1n3ic2FrjhBqB7d1XPrbZWjYLZS7qMRjVduXOn4/NtLCY798t92FlUibROMXjy2iEQzroIEFFIYkJGftezixHPZw/HrMU5+NdXezE0LQET+iZqHRb5iy1RWr0aWLYMiIgAampUQvPQQ2pxvKtG4V26qEd7C+wfegh46qnm6UVno2MREcD8+c3rvkwm4Pe/t3+tTqfu+9FHjs+3oXXV6r3H8dqag9DrBF781Qh0iPag/RMRhQxOWZImLhjQDfdP7guLBO5bsgXFp2q1Don8Yc0atVj/gQeAd94B6utVMgaoxMlkUglWnz6OG4VHRwMDBzZfazI1J122e8ye/cvjrTnqL+mqF2X37u3vVdnCsco6PPz+NgDAwxdnYQTbixGFLY6QkWYeuLAfthZW4If9pbjn7c14767xbK0UylomUM5YLKrxt8Fgfx2ZwaBGot591/Odk1FRwOTJwHXXOW435aoXpTd6VQIwWyTmvLsV5dUNOCczEXdNYikYonDGhIw0E6ETmJc9HFe8uAbbCk7hb5/vxt+vYfPkkLV0qXsJVHU1UFjouom6q8X69tTXA8OGqdZKztjaL7X1vBte+i4P6/JPIDEuEs9MGwadjuvGiMIZEzLSVCdjJF66aSSuf3kd3vr5CIand8L1o9K0Dot8wd0EyrY43tVIVGamWpRvm/J0RzsW3rdbi80HOWkD8VyxWjf57LTh6BrvYHrWS6/3i80ORBSQWBiWAsLSjUfw6LIdiNLr8OFvzsaglAStQyJvW7QImDPHdVLmboFVkwno2tVxeYz23NvbWmw+qGgCpvx6Poo6JOGuPpF4/I6LfPp6vugmQET2sTAsBb3sMT0wfUw66ptU0diKGhaN9Tof9l90S3a2SgociY31bHF8fDxw7bXOr2lZY6zlvf35XrRYOyerq/HoZfejqEMShhXvwyO/nQZUVfns9c7Y7DBlivdfj4i8ggkZBYy/XjUIQ1ITUFBeizlLt8DCJuTeY9vdOGcOMHeuekxNVcf9xZYQ2auar9cD992nRq88GcFJczK9HRsLzJihyl/Mm9d8b3+/Fy3Wzr01/DJ8mTUB8fXVePHTuTA0edh1wMPXO0M7uwkQke8wIaOAEW2IwMIbR6JjrAGr95Vi/uq2VT2nVgJpxGTYMFX7q7WmJtUI3BMmk/Pn6HSqxtiTT6oF+LaRMX+/F9a1c3sTe+JvF9wBAPjnl/PRo+JYu6r7u3o9u3zxekTkFUzIKKCkd47FvOkjIATw3Df78d2+41qHFBjaM8UWCCMmxcXAzJnA0KGO13x5GsvSpYCzNbCzZ5859enJe+Gtac3MTNQkdMa9Vz+KBn0kpm/7Clfu/VGd88Umg8zM5hpprWm5qYGInOIuSwo45/ZLwkMX9sMzK/fjgXe34vP7JiK9c6zWYWnHUTV6dxdoaz1isnChSo5c8TQWV7s27bUfcve9aO973lJ2Np74dA/yEnugb9kR/OWbV5rPtazu761dkdnZKlZ72thNgIh8jyNkFJBmn98XF/TvioraRtzz9ibUNZq1Dkkb3phi03LEpLjYvWSsLbG05f/lznO8PK35Wb4J7w6cjMimBsxf+QJimurP3GTgzXVtrroN+HuHKRG5hQkZBSSdTuDZacPRo3MsdhZV4s+f7NQ6JG14Y7rR2e7G1iM07k7RuXvt44+7js9eLO685pQpjqcspbR/L2fvRVOTuqcXp3gLymvw+w93AAD+dFEf9D9vLDBunOoUsG+fGm3zxbo2Ww23efPO3NRARAGJU5YUsBJiDXj5plGYuvAnvJdTiJE9OmH62B5ah+Vf3phutI2MOKt678kUnSfX7t3rOr7Wsdhj7zUffFAlUfY4StRavheNjb9czyYEkJUFXHmlV6Z4K+saceebm2Cqb8IlyXrcdMPE5vh37lRNylesUO+RqwSwLV0BvNBNgIj8hyNkFNAGpnTAP6eqdkp//mQXthWc0jYgf/PWdKOzERNPRmg8Hc3p3995XIMHux69cfSaVVVAQ4P95+h0jkeyJk5Uo1Ot1dWp11i2rN3veV2jGXe+kYM9JZXI6ByDp/9xK4Sj92zXLu6KJCImZBT4rhuVhpvH90SD2YLfvL0Z5dUOfgiHImdTbGazGmlxdwegbcSkZRkIwLMpOk+n85580nlMK1f+MhZ73O2B2ZKrRGb5cvvlNwB13OxgzaIbi+JtTcN/zi9H1/goLI4/jI61Dj4+FgtQXs5dkUTEhIyCwx+vGIDh6R1RdKoWD7y7BeZwKRprb4F2dIu+h88/3/7Cpp5Mi3o6hZqSAixYYP/6BQuA5OT2xedIbKwadbO3xq24WL1vju5ZU6PWeLVhUbyUEn/6ZCe+3HUU8dF6LP71WKQf2uv8PUtMdG+NHxGFNCZkFBSi9BF46aaR6GKMxI+5ZXj+m/1ah+Q/LacbH3qoeX2Ubf1TexeAO5sW1emA779Xr+/qWkejOb/5DVBSouqQjR+vHktK1HF344v2sPl2TY2aemy9Y3HhQvX3XbscP9doBM4/v02L4p//JhfvrD+CSL0Or80cgwHdO7h+zwYO5K5IImJzcQoua/PKcNNr62GRwKJbRuPCgd20Dsm/nDXoNhpV4uDpQm6TSSUprqY9FywAbr7Z8bVxcWqKsqDAcR2tttTaKi5Wr9leRqN7I21tbED+5s+H8aePd0IngJdvGoWLB1lH/5y9vy1fq6pKvTd5eSqxzc5mMkYUZNhcnMLG2X0T8btL1ULxB9/bikNlHk5lBTtfFHltOS0a66QA7+zZ6jXsjebExqp1V48+qkal7rkHSEoCvv66+fmta23Nng106aKe4ywZXLHC8xEye+rrnZ/X6YDISBW7h7+orthRcro0yz+nDmlOxgD364I5WuNHRGGBCRkFnbsmZeCSQd1gqmvC7W/k4ESVix+0ocTZ9F10dNsXgNumRYcNc37dY4+duWPz6adVMlNbq6YKAVWOor4euOQSlZTZ2ynZ0KBKT8ydq9aaOVoDl5vruN2SJxyVyLCxWFRMCxZ4tCZv7YEyzHl3K6QEHrm4n/3SLKwLRkQuMCGjoCOEwL9vGIZ+3eKQd7wKNy5aj5PhsvNyyhTHyUldHXD55W2/d1yc492FNrZyES1Hc6KinO+CvPpqYPFi59dUVTleA+dsDZYn9G6WXfRgTd7Oogrc+cYmNJgtuPXsXph9vpOEmCNgROQEEzIKSvHRBrx1+zhkJBmx96gJNy5aj1M1YZCUOZu+i45W5Rzaw1XdsKysM4/l5jaPjNljNqu4XK3fclQF31npD09ERXl2vYuq/IdPVOPW/21EVX0TrhjaHX++YiCEvf6ZRERuYEJGQatrfDSW3DEevRON2F1SiZtf24CK2katw/ItZ9N3dXXtLyLqqm7YU0+deSwz0/noU2OjqoLvapTL0Ro4Z2uwnnnG+T0BtS4sPh748kvHJTg8iQdAqaket/x3A8qq6jGxbyKemTYMOp0byZgn7amIKKwwIaOg1q1DNN65Yxx6dI7FjqIK3PLfDaisC+GkzNeNwp3VDfvHP1TZjd69VYX9f/9bJRTZ2Y6LrAIqIbr8ctejXPbityUwn30G/POfar1ayzVYd9zhvHxGZCTw7LPN6+MiI4GpU90bcYuNtft+muoacev/NuDwiRoMSU3AyzePQpTeyf/fxpsNxIko5LDsBYWEolO1yP7POhSerMXIHh3xxqxxiIsKwVat7pZQaK+jR1Xis3u3Gv2KiLCfOERFAd98o0pdzJjh+H55ear22GWXOV6X1bpsRo8ewPXX2++/OXHimf0tW3J0rdnsfHq1ta++Ai6++PQ/65vMuO1/G7H2wAn06hKLD+45G4lxbkyF+uvjRkSaak/ZCyZkFDIKymsw/ZWfUXSqFmN6dcLrt42FMRSTMnuNtlsmH95+naYmtYPSkbg41ZB7yRLH15x1FnDOOUB6OpCfD8yfr0pLNDWppM42YqXTqf9TbKzjxCk+Xm0uyMqyn+DYRsVmzlSxuVtnzdFrWZMls0Xi/iVbsHxHCZLio/DhPWcjvbOTMiEt+aJ+HBEFnPYkZCH404rCVXrnWCy5YzyyX1mHjYdO4rbXN+L128YgNjLEPs1tJRR8WUS0ZZkKV+rqgJ9+cn7NunXqj9GoEkm9vnlHp5RnJnzORrEsFjV652jXpsGgNji406vTFevCfvnrX+P/PtuF5TtKEB+lx+LbxrqfjAG+qR9HRCElxH5SUbjr0aU5KdtwsBy3L87BazPHICbSjTU+wcRWQsFXPElimppc1/iysZeUNHi4O7a6Wo2QuUpwbF0BXn7Z816Yre41f1Ue3lh3GJF6HV6dORoDUzp4dh/b2j9HI2RsIE4U9rion0JOr0QjltwxHknxUVh74ATufDMHdY0u6muFMlc7++yd96Sht14P9Ovn/bgdiYpS05XONjdIqaYp77sP2LSp7a9lNOKdpCF4ZuV+6ATwwvThGJ/RxfP7OCvdwQbiRAQmZBSiMpLisOSOcUiMU83I73pzE+qbwjApc7Wzz9F5wP1irNHR7StI66mGBjWl6ajmlxBqp6jJ5F6Ffydtmb7sMxZ/LE0AAPztmsG4dHD3tkTsfvskIgpbXNRPIW3/MROmv/IzyqsbMLl/V7x000j3ShSEAlc7+5wtjLclCC4q1Z/eZbl1qxqN8reoKLUDtKameTforFlqpM+dqVAhgFtuUTtEW+3o/DltEG659s9osAAPXtgPD1yY6fxe7jROZwNxopDGRf1EDvTrFo+3bx+HGa/+jFV7j+Ped7Zg4Y0jYYgIg8FhZ+vALBbg4YcdN9yWErj3XmDhwuYkJTZWXd+1q2oKftttwJ13qoTC2Q5LX6qvV0mZwaAK0Or1KmZ3SQl0765KW7TYKLE7vT/uONYNDfVm3Dy+J+6/wMUaL3s7Xx966Mydr75e+0dEQYsJGYW8Ad074K3bx2HGq+uxcvcx3L9kC1741YjQT8pc7exzlrBVV6vRo5a7ORMT1XqsAwdUi6Xp05tHd77/3r2YIiMdj1xFRLjupWlPy6TS0ybkOl3zgnprsnT4RDVmvrwOpvp6TBmSjL9eNch5SyR7O1Jt7/uUKawxRkRuCfGfSETKoJQEvH37OHSI1uOLnUcxZ+lWNJnbWAohWLhqyu1sF6Vt559tRCcpCXjkETUStmED8MYbajp04UKViOze7Tqe8eOByZMdnzeb1UiXP1ksv1j/tvFQOaYuXItSUz3O7tMFz2UPR4SrlkiuRiKd9MMkIrJhQkZhY3BqAt6cNQ7xUXos316Ch97bBrMluNZQnuZOT8T2NOUWonnn38cfq+lNe2bPdm8KLiICuP124Lrr1NSnPbGxzlsw+UKLhuzv5xRgxqtqveGkfkn4j7stkVhjjIi8gAkZhZVh6R2xeNZYxEXp8em2Yvz2/SBMytztiehoZ587o1CzZzdXub/hBufXvv++WovljNmsqvT36OG46GtTE3D33ep1IyNdx+gNdXUwr1mDJ695EL/9YDsazRK3ZcbivzNHIz7a+j65Sn593V+UiMICd1lSWMo5VI5b/rsBNQ1m3DAqDU9fNxQ6V1NTgaAtPRFb7+yrrVULzhudNGF/7DHVV3LRIrVw3xvfJ9zZuWk0qtG5O+4AXnzR/YKzbVQdbcQDUx7EN5njoTc34f9Wvowbt32pdp8+8ojrfpoA+1QS0WncZUnkodG9OuN/t47Brf/biPc3FSJCJ/DPqUMCPylzZ71S6ynE1jv7TCbgt791nJDFxjaP6uTmeicZA9Tie1dTqLapv/nz1S7PV19VcXpazd8NRfFJmHX9n7G3a28k1Jrw0sdP4uwj29XJffvUKGHr17XFd9llv2yE/sEHjhM3JmNE5AYmZBS2xmV0wX9vHYPbXt+AdzcWoL7Jgn9MHRzYvS+9sV4pPh74xz8crwuLiGheP5aZqUasvJGUORuRs3ftSy+p6dXzzwdWrfLs+QDQu7canbLVKWthU0p/3HXtH1Bm7ISME4VYtOwJZJws/uXznSWBVVVqBK2+vjn5+uADlaCxxhgRtUEA/+Qh8r2z+nTBazPHYNbijfhoSxF2FlVg4Y0jkdkt3vWTteCNnogmE/DXvzo+P2tWcwKWnQ3cdZf3Rsk8UV+v/qxe7XkyBgBr16qEyDZdm5YG1NXh48Vf4HcXz0aDPhITDm3Fwo+fREJ9G3pd2spt2D4W11/P6UkiajMu6qewN6FvIj6ZPRF9kozIPV6Fq+b/hGWbCrUOyz5nOyebmoBJk1zvvnTVOHzhwuZNAvHxwP33eyf2thLC892XM2YAzz0HvPsucM45QHExLG+8gX9vKsOcKQ+iQR+JmzYvx+vv/6VtyZg9jY0scUFEbebTRf1CiEsBzAMQAWCRlPKpVudvBfAvAEXWQ/OllIuc3ZOL+slXquub8KePd+LDLerTcdroNPzfVYMRE6lhqyV77Xi2bVMFRxsbf1kI1VZ0NTpaHbe3AB1Qydrcua5fOzoayM9Xo0uTJnn//+YLERHqj16vpil1OsBiQY0hCg9d/hC+zJoAncWMv3z7KmZu/tz7r//QQ8AzzzT/2512SkQUMgJyUb8QIgLAAgAXASgEsFEI8amUsnUFyaVSynt9FQeRu4xRejwzbRjGZ3TBnz7ZifdyCrGtoAILbhyJvl01mIZy1o5n3z4gI+OX19vWPNmSNEfV4p1Ne7ZUVwf07Nm26vlaMZvVH9t7YbGgJL4L7rj2T9iZ3BfxdVVY8MnTmHRoi2f3tSW7rtbTnTjR/Hd32ykREcG3U5ZjAeRJKfOllA0A3gVwtQ9fj6jdhBCYNiYdn9w7ARlJRuw7ZsJV89fgoy1+nsJs2Y7HljhVVzcfX7bM/Wm8+npVS8w2helJwdjGRufTmwFuW3Imrr75WexM7oueJ4vx0VuPeJ6MRUerRAxwvZYuKko9uvr4uWraTkRhx5cJWSqAghb/LrQea+06IcR2IcQHQoh0H8ZD5Lb+yR3w2b0Tcc3wFNQ0mPHg0m14bNl21DX6abTIVXmL5ctdj3DZNDQAX36pyjikpKgpzzAox/B5/4mYNuMpHI/vgnFHduDjNx5G3xNuJtYGg0quYmLUSKGjJuyt7dypHtlOiYg8pPWi/s8A9JJSDgWwEsBiexcJIe4UQuQIIXJKS0v9GiCFL2OUHs9lD8dT1w5BlF6HdzcW4JoFP+FAqR9GN1yVtygsVMmCJxoa1MjMxRcDw4cDl17a7jADkQTw/IRf4d6rH0O9IQrTt32FN5f+CZ3q7GxwsGfwYFVy49//9rz1lG03KNspEZGHfJmQFQFoOeKVhubF+wAAKeUJKaXtV89FAEbZu5GU8hUp5Wgp5eikpCSfBEtkjxAC08f2wMezJyAj0Yi9R0248sU1+GRrkesnt4erxuD79qmK+21RWwssXgyE4OaYOn0k7rvqd3h+4o3QWcz447ev4skvX0SkxYOK/zU1wP79wOefuz8KaTNwoHpkOyUi8pDPdlkKIfQA9gO4ACoR2whghpRyV4trukspS6x/nwrgUSnleGf35S5L0kpVfRMe/3AHPtumCoj+amw6/nLlIEQbfLAL01k7Hm+46CK10H/XLtfXBonjxk6449o/YVtKP8TV1+CFT+dicn4bvlfo9aqEiMHgef2zkhIgOZntlIjCVHt2WfpshExK2QTgXgBfAdgD4D0p5S4hxBNCiKusl90vhNglhNgG4H4At/oqHqL2iovS44Xpw/HPqUMQqddhyQY1hZnviylMW2PwuDiVIHhbSQlw663Or/HF6/qABLAqYzSumvkctqX0Q9qpo1j21m/blowBzf0zPU3GFixQyRjguLF7y48rEVELbC5O1Aa7iisw++3NOHSiBsbICDx53VBcNSzFuy+yZo3qmVhT4/lOR1flGc4/H/jkE6BzZ8cNvAcMAPbu1aZKv5v2J/bA3ybfjh97jwQAjCnYhZc/+ge61Fb67kXj4oC33gI++khNHWdlAU891ZyMtdS6sTvbKRGFtPaMkDEhI2ojU10jHv9wBz7fXgIAuHFcD/zpioHemcJs75SltSCqQzNmAC+/DCQlub+DMICUx3TA8xNm4O0Rl8Gsi0CHuio88NM7uHnzCs/Wi9kkJgJlZa6vi4pShV9nz/b8NYgo5AVkYViiUBcfbcCLvxqBcRld8LfPduPt9Uew5cgpLLhxJHonOlmQ746lS9u+aB9wPaKWnKwW9gdZMtaoi8CbIy7H8xNnoDI6DjqLGTdv/hwPrnkHndszKnbypHvFcuvr1Q5XIiIvY0JG1A5CCNw8vidGpHfE7Hc2Y3dJJa58cQ3uv6AvbhzXE8aoNn6JrV/veCqxvSIi1GjQ9u2+ub8PSACrM0bj75NnIb+L2rx9zsHN+OOq15BVdrj9L6DTudeRgDskichHOGVJ5CWVdY14fNkOLN+hpjA7xRpw+zkZuOWsnoiPNnh2sz59VB9JXzEYVAISBFX4c7uk44kL7ji9Tqx3eRH+uGoRJh/YCOHNF7rxRuDTT9X7UlNj/xrukCQiJ7iGjChASCnx3f5SvPhtLjYfOQUA6BCtx60TeuPXE3qhY2ykezdKTgaOHfNdoEHgZHQ8np84A2+NmAKzLgLxdVV44KcluGXz8ratE3PGaATmzVOL7pcuBVavbm5PZetDaa9ROxFRC0zIiAKMlBJrD5zAC9/mYv3BcgCqbMbNZ/XErIm9kRgX5fwGZ58NrFvnh0gDj711Yjdu/aL968ScsTfyxR2SROQhJmREAWzDwXK8uCoXP+aqXXzRBh1uHNcTd03KQNcO0faftH+/KqcQRiSA7zJG428t1olNPLQFf/p2kXfWiTkSFwd88UX7R75MJpXA5eaqSv3Z2SrRI6KwwYSMKAhsOXISC1bn4Zs9xwEAkXodpo9Jx13n9kFqRzt9KQcOBPbsaduLuapDFmByu6Tjb5Nvxw8Zqnta7/Ii/GHVa7jgwAbvrhNrzVtlLNasAaZMUWvyOMVJFLaYkBEFkV3FFZi/Kg9f7DwKADBECFw3Mg2/Oa8venSJbb6wuFjVIgthfl0n5shjjwFPPvnLY56MdrFNEhFZsQ4ZURAZlJKAl24ahf3HTFiwOg+fbSvGuxsL8P6mQlw9PAWzz++LPklxQEoK8OijwNNPax2yV52MjsfqPqOxMnM8vu89EjWRMdBZzLhp83I8uOZt31bZb81eGQt7o10PPeR4tGvpUse7VS0WdX7WLO/HTkQhhQkZkUb6dYvHvOkj8MAFmVj43QF8tKUIH24uwkdbinD5kO64d3Jf9D94UOswveJwx2Ss7DsOKzPHIydtIMy65m4G5xzcjD+seg39fblOzBGdTo1+2ZhMKhlrOdplKxY7ZYr90a7cXMcFZaur1aYAIiIXmJARaSwjKQ7/vmEYHrggEy99fwDv5xTg8+0l+Hx7CS5sysK5wy/DyOK9yCo9DL0M/LphAGCBwLbumfjGmoTtT+p5+pze3ISJh7bgotz1uCBvPdIqS7UJMi7uzEbfbRntysx0XOWfhWSJyE1MyIgCRHrnWPxz6hDcN7kv/vP+z1iy5yS+yRyHbzLHAQBiG2oxrGQ/RhbtxcjivRhRvM93ZSDaoC7CgLU9h2Fl5nh803csSuM6nz4XX1+N8w7k4KK89Tg3fxMS6l20KPKH3NwzG4K3ZbQrO1tNadrTegSOiMgBJmREAaZ7Qgz++vfb8JuyCnzZbwI2p/bH5pT+ONKpO9b1HIZ1PYedvrZ3eRFGWBO0kUV7kVV2GBF+HEUrj+mAVX1GY2Xf8fih90jURjaX8UitOI4L89bjotyfMbZgl/8W6bvr5ZeBv/71l8fS050/Jy3tzGPx8WqkzdEuSy7oJyI3cJclUSDS6c4oW1Ea2xFbUrJOJ2jbu2eizvDLOmbG+hoMK8nFyOI9GFmkRtE61dnZ/eemJqFDjSEatZHRqDFEo8YQhRpDDLamZGFl5jjkpA6ApcV6sMFH804nYQOPH/RtyYr2SkgATp365bH584H77nP8nPnzHZfIYCFZorDHXZZEocRksltDLKnmFC7OW4+L89YDUBXt9yb1wubUAdic0h+bU/ujoGMy1vYahrW9mkfRMk4UYkTxXmSUF6FeH2lNrKJRa4g6/VhrTbZqDdGosSZfdfooNOid9+A0mBsx4eA2XJz7My7I24AUU5l33wtfqqo681hBgfPnFBY6PhcXx92URNRmTMiIAs1//uPWZQaLGUOOHcCQYwcwc/PnAIDjxo7YkqJG0Lak9se25Ezkd0lDfhc7U21u0FnMiG2sR0xjHWIb6xDTWI+Yxnr0PFWCC/PWY1L+ZnRocNCIO9BF2ukrygX6RKQRTlkSBZrBg4Fdu7xyq0ZdBPZ07Y3NKf1REp+ImKZ6lVg11Fn/bk22GpoTrubEqw5R5sbAnnZsj7PPBn766ZfHWOSViNqBU5ZEocTRLr82MFjMGHo0D0OPshbWGWbMOPMYF+gTkUaYkBEFmrPOAg4d0jqK0BYTA8ycaf/cxIlqJIwL9InIj5iQEQWaRx4BlizROorQFRUFfP218wSLC/SJyM+YkBEFmt//XusIQld0NHDw4JkFYYmINKbTOgAiasFkAlau1DqK0BQXp95bJmNEFICYkBEFkqVL1QJy8p6ICODRR4GSErU+jIgoAPE7P1Egyc0FmgKsxVCwi4wE/vhHLsonooDGhIwokNgKk5L31NYCixdrHQURkVNMyIgCSXa2d6Yso6PVVB0py5drHQERkVNMyIgCia0waXx8+0bKDAZg7171SNowmYBFi9T6tUWL7Ff/JyKyYtkLokDTsjDpsmXAqlVAfb17z21ZVX7hQqCx0bexBovLL/fv661Zc2a1/4ceUh8XbiwgIjvYy5IokDnrrRgVBcyeDWRkqH8XFjZXlS8uBrKy/BtroIqJAY4f99+ifvbDJApb7GVJFKpc9VZsOdpiMqlRtb/9DXjvPe1i9jWDQe2cdKfnp8Hguiq/ty1dqj5W9lgs6jy7ABBRK0zIiAKdO70VW0+RBavbb1frrRyJiQH+9S+1aeHVV4H16x1fGxkJnDjh/9Go3FzHH4PqavUxJCJqhQkZUTBw1lvRZFLJWCgsGk9MVNOwCxbYP6/Xq6bgcXGAlMDOnfaTH71eraHTYmrQVrrEXlxGo0qoiYha4S5LomDnbIos0Oid/A5oS1bmz1fN1VuW/4iJaZ6+tSVZzkqExMSo81pwFpdOp11cRBTQmJARBTtnU2SeiIwEZsxo/30cMRiAp592PGrVMlmZPh2oqFDTl489Brz4opq2bblmzl6JEKPxzMTN3wI1LiIKaJyyJAp2zqbI3BUXB3zxhZoO9IXYWOCrr1RCNXas400KLZMVZ9O0Nu6sr9NCoMZFRAGLZS+Igp2zMgvuePBB4IknVLJgNAI1Ne2PyWBQZTfS01UNMNu6L5uqKiYrRBRyWPaCKJzZpsIuvND9ArI2MTHAtdc2J0PJyUB+fvtjamwErrgCePJJ++fdGf0iIgojXENGFAomTgQOHlTlIDxRW6umD6uq1L/ff9878XA3IRGRR5iQEYWK7t2BlSs974NpK1YKACNHAlOntj8WV7sJ2eeRiOgXOGVJFEpaLyZPS1PH33zTcRHV1sVKp0xRC/zr6jx//ehotX7M2W5C9nkkIjoDEzKiUGNvfVZUlOMiqq2nF3Nz3U/GoqKASZOAlBSgSxdg4EDnC/TtFbG1xTRlCvs8ElHY4pQlUTjwpFiprYyGO+rrgVGjgNdfB555RiWCzhIqd/o8EhGFoaAreyGEKAVwWOs4QkQigDKtgwhDmrzvHYC4PkAmAOgAnQWwAMABILcSqLJdFwHohgLDdG78wmYBLEVAwXE3/z89gNQkINnR+VLg6BGgyJ17tQE/37XB910bfN+1kSWljG/LE4NuylJKmaR1DKFCCJHT1nop1HZ837XB910bfN+1wfddG0KINhdK5ZQlERERkcaYkBERERFpjAlZeHtF6wDCFN93bfB91wbfd23wfddGm9/3oFvUT0RERBRqOEJGREREpDEmZGFECNFZCLFSCJFrfezk4DqzEGKr9c+n/o4zVAghLhVC7BNC5AkhHrNzPkoIsdR6fr0QopcGYYYcN973W4UQpS0+x2/XIs5QIoT4rxDiuBBip4PzQgjxgvVjsl0IMdLfMYYiN97384QQFS0+1//s7xhDkRAiXQixWgixWwixSwjxgJ1rPP6cZ0IWXh4D8K2UMhPAt9Z/21MrpRxu/XOV/8ILHUKICAALAFwGYCCAXwkhBra6bBaAk1LKvgCeA/C0f6MMPW6+7wCwtMXn+CK/BhmaXgdwqZPzl0HVwMsEcCeAl/wQUzh4Hc7fdwD4scXn+hN+iCkcNAF4WEo5EMB4ALPtfJ/x+HOeCVl4uRrAYuvfFwO4RrtQQt5YAHlSynwpZQOAd6He/5Zafjw+AHCBEEL4McZQ5M77Tl4mpfwBQLmTS64G8IZUfgbQUQjR3T/RhS433nfyASlliZRys/XvJgB7AKS2uszjz3kmZOGlm5SyxPr3owC6ObguWgiRI4T4WQhxjX9CCzmpAApa/LsQZ37Bnr5GStkEoAJAF79EF7rced8B4DrrNMIHQoh0/4QW1tz9uJD3nSWE2CaE+EIIMUjrYEKNdanJCADrW53y+HM+6Cr1k3NCiG9gvzXNH1r+Q0ophRCOttj2lFIWCSEyAKwSQuyQUh7wdqxEGvkMwBIpZb0Q4i6oUcrJGsdE5Aubob6fVwkhpgD4GNb2adR+Qog4AMsAzJFSVrb3fkzIQoyU8kJH54QQx4QQ3aWUJdah0+MO7lFkfcwXQnwHlf0zIfNMEYCWIy9pOLNHo+2aQiGEHkACgBP+CS9kuXzfpZQt3+NFAOb6Ia5w587XA3lZyyRBSrlCCLFQCJEopWSPy3YSQhigkrG3pZQf2rnE4895TlmGl08BzLT+fSaAT1pfIIToJISIsv49EcAEALv9FmHo2AggUwjRWwgRCWA61PvfUsuPx/UAVkkWBmwvl+97q3UcV0Gt/yDf+hTALdadZ+MBVLRYPkE+IoRItq1LFUKMhfqZz1/62sn6nr4GYI+U8lkHl3n8Oc8RsvDyFID3hBCzABwGMA0AhBCjAdwtpbwdwAAA/xFCWKC+eJ+SUjIh85CUskkIcS+ArwBEAPivlHKXEOIJADlSyk+hvqDfFELkQS3Mna5dxKHBzff9fiHEVVA7pcoB3KpZwCFCCLEEwHkAEoUQhQD+AsAAAFLKlwGsADAFQB6AGgC3aRNpaHHjfb8ewD1CiCYAtQCm85c+r5gA4GYAO4QQW63Hfg+gB9D2z3lW6iciIiLSGKcsiYiIiDTGhIyIiIhIY0zIiIiIiDTGhIyIiIhIY0zIiIiIiDTGhIyIiIhIY0zIiIiIiDTGhIyIwo4QYoy1uXi0EMIohNglhBisdVxEFL5YGJaIwpIQ4u8AogHEACiUUj6pcUhEFMaYkBFRWLL2utwIoA7A2VJKs8YhEVEY45QlEYWrLgDiAMRDjZQREWmGI2REFJaEEJ8CeBdAbwDdpZT3ahwSEYUxvdYBEBH5mxDiFgCNUsp3hBARANYKISZLKVdpHRsRhSeOkBERERFpjGvIiIiIiDTGhIyIiIhIY0zIiIiIiDTGhIyIiIhIY0zIiIiIiDTGhIyIiIhIY0zIiIiIiDTGhIyIiIhIY/8P8VEDvJlnpNwAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "
" ] @@ -344,62 +360,13 @@ } ], "source": [ - "for n in range(1, 3):\n", + "for n in range(1, 4):\n", " plot_and_mse(data_train, data_test, n) " ] }, { "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[3.97959184e-01 4.76118000e+05]\n", - " [3.16326531e-01 4.59531000e+05]\n", - " [7.65306122e-02 4.11557000e+05]\n", - " ...\n", - " [3.31632653e-01 3.20000000e+05]\n", - " [3.41836735e-01 3.64000000e+05]\n", - " [2.55102041e-01 2.09000000e+05]]\n" - ] - }, - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "n = 2\n", - "x, y = get_poly_data(data, n)\n", - "print(data)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, + "execution_count": 145, "metadata": {}, "outputs": [], "source": [ @@ -408,7 +375,7 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 154, "metadata": {}, "outputs": [ { @@ -526,192 +493,89 @@ "[100 rows x 3 columns]" ] }, - "execution_count": 67, + "execution_count": 154, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "data_marks_all = pandas.read_csv('archive(1)/Student_Marks.csv')\n", + "data_marks_all = pandas.read_csv('Student_Marks.csv')\n", "data_marks_all" ] }, { "cell_type": "code", - "execution_count": 77, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 77, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "data_marks_all = data_marks_all[['time_study', 'Marks']]\n", - "data_marks_all = data_marks_all.sample(frac=1)\n", - "data_marks = data_marks_all[0:70]\n", - "data_marks_test = data_marks_all[70:]\n", - "data_marks = np.matrix(data_marks).astype(float)\n", - "n = 1 # Wielomian pierwszego stopnia\n", - "\n", - "x, y = get_poly_data(np.array(data_marks), n)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" - ] - }, - { - "cell_type": "code", - "execution_count": 73, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 73, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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unTudbceCAiVfIq3QKROwCYN6kNc7g+LSct5Yt5fPnRbgh46ISCfQUA975bj+pCUH+SchIwNmz45iVCLxr1Mu/RhjuN6/1P7UUvUEE5E44fXC/Pkwd67z6PWGPL2qtp5/frQL4NjPRBGJjk6ZgAF84YwckhM9vFO8jx1lKsYXkRhXVAQ5OTBnDtx/v/OYk+M8H8Qrn+zhUGUtp+V05bScblELVUQ6cQLWPS2ZK07vh7UqxheRGBeoY30YXeqf8e8AFJwZYvWrhatqIhKeTpuAAVx/lvND59nlO6mtV2d8EYlRoTrWB+lSv3V/Be9vPkCXpARmjOsf+NpWrKqJSHg6dQI2cVAPhvfOYJ+3mjfWlbodjohI64TqWB+kS33DTNzLx/Sja2rSyde1clVNRMLTqROwpsX46owvIjErVMf6AF3qa+t9PL9iJwDXN+1831QrVtVEJHydOgED+MJ4pxj/bRXji0isCtWxvr7eWbFq4o11e9lfXk1e7wzOyO3ReKBpvdfzz7d4VU1EwtfpE7Ae6clMP60v1sKzy9WSQkRiUNOO9ampJx8/5ZTj6rae9hffXzcpF2OM8+SJ9V5LlgT/epr9KNJmnT4Bg8b+N4XLdlCnYnwRiUX5+bBhA1h7/PNVVcfVbe06dJS3i/eRnODh6vE5zjmB6r2qq4N/Lc1+FGkzJWDApCE9GZadTqm3mjfWqxhfRGLUokWQGKSbvb9u69llO7AWpp7Wl57pyc6xUPVeAMn+8zT7UaTdKAFDxfgiEieauRuyvngTz/lLLa4/c2B41wFcfDHMmwcPPujMhczPb8egRTonJWB+M88YQHKCh7c27mPnQRXji0gMCnU3ZEoKb28+SMnhKgb1SGXy0F7hXZeeDjNnwr33OvMgtfIl0i6UgPn1SE9m2un+YvxlKsYXkRgU6m7I6mqerstyTlv8FzzvvRvedar3EokIJWBNHCvGX65ifBGJQU3vhjxhRas0vQdvDJ9EYn0ds1YsOr6ZaqDrVO8lElFKwJo4a0hPhmals/dINW9u2Od2OCIiLZef79RpPfggfO5zxwronzv9Euo9CVy8aSm9Kw6d3Ey16XWq9xKJuCC3y7QfY0wCsBzYZa29whgzBHgG6AWsAG601tZEOo5wNBTj/3zxOp5eup1LR/VxOyQRkZN5vU7yVFzs1G9Nn+6sVDV8XlAA114Lzz0HNTX4MDw75lIArvv4Vec1KirgH/+AjRsbr8nMdOq8RCTijD2xZ0x7fwFj7gYmAl39CdizwAvW2meMMX8CVltr/y/Ua0ycONEuX748onE2KKuoYfIv3qDO5+OduReR071LVL6uiEhYioqchMvnc5Ko1FSn11fDY3q6c8wYpwt+dTXv5Y7hhut/Qf8jpbzzp1tIsP4Si5QUp99XerpT67V4sVa8RFrIGLPCWjuxpddFdAvSGDMAuByY7//cABcBz/tPeQK4KpIxtFTP9GSmntYXn3Uas4qIdBiBGqZWVR3/WFEBR49CZeWxZqpPj50KwDUfv96YfEFjs1UN2RaJukjXgP0W+C7Q8B3fCzhkra3zf74TyIlwDC12g78Y/1l1xheRjqS5hqkBlHXpyisjzsFYH9d+/BokJAQ/WUO2RaImYgmYMeYKoNRau6KV199mjFlujFm+b190C+InD+3JkKx09hypYomK8UWko2iuYWoAL4y+kJrEJM7fvJIc7z7IzQ1+soZsi0RNJFfApgBXGmO24hTdXwQ8CHQ3xjQU/w8AdgW62Fr7sLV2orV2YnZ2dgTDPJlTjO90iVZnfBHpMEI1TA3AAs/4tx+vW/2Kc+2554Zuuqoh2yJREbEEzFr7P9baAdbawcB1wH+stV8E3gRm+U+7CVgQqRjaYuYZA0hKMLy5oZSSQ0fdDkdEJHTD1ABW5IxkU1YuWeUHufizpc61992npqsiHYAbfcDmAncbYzbh1IQ96kIMzeqVkcLU0U4x/rPLVYwvIh1AoIapqanHP6anQ5cukJbGMxMuB2DWhrdISk9zru3XT01XRTqAiLehaA/RbEPR1Hub9nPD/A/p1y2VorkXkeAxUY9BROQk5eVOsfymTc6W4eWXw6JFjZ8XFHCkqo5Jvy6iyhqWDNrH4BtnHZ9cnfgaBQVKvkRaobVtKCLeiDWWTR7ai8G90th6oJK3NpZy0alqzCoiLjmx+WpD49QGJzRQXbB2G1XWcPbQXgy+7fKTXy8jQ01XRVykUUQheDzm2HzIpz5UMb6IuMDrhblzoVcvuP12uP9+mDMHcnKcpqxBPOO/geg6/w1FItKxKAFrxswJTjH+f9aXsvuwivFFJIqKiqB/fyfpqq2FGv/UtmYap67ZeZhPSo7QPS2JqaP7RjloEQmHErBmZGWkcFlDMf6ynW6HIyKdRTid6YM0Tn16mbP69YXxA0hNCtF4VURcowQsDA2d8QuXbafe1/FvWhCROBBO1/sAjVMrqutYuKoE0PajSEemBCwMZw/txaBeaZQcruLtjeqMLyJREE7X+wCNUxet2U15dR1n5HZnRJ/MIBeKiNuUgIXB4zFcd6a/GF+d8UUkGsLpeh+gcWpj8X2IkUMi4jolYGGaNWEAiR6nGH/P4Sq3wxGReNdc1/uMjJMap67ddZiV2w+RkZLIFWP6RSFIEWktJWBhys5M4bLRfaj3WZ5TZ3wRibRAXe9TUiA52WlLsXs35Ocfd8mjRVsAKDhzIGnJavMo0pHpO7QFbpg0iMVr9vDMsh1848Lh6owvIpGVnw8lJWF1rN99+Cj/Wl2Cx8CXpwyOfqwi0iJKwFrgnGG9yO2ZxvaySt4u3seFp/R2OyQRiXdhdqx/4r1t1Pksl4/px4AeaVEITETaQluQLeDxmGO3daszvohEjdcL8+c7W4/z5zufN1Fx4BBPvVMMwC1la046LiIdjxKwFrpmwkCSEzy8vm4v2w40c4u4iEhbFRU5Y4fmzAk8hqioiOc/fwtHfB4m7PyU8fNub3ZMkYi4TwlYC2VnpjBjXH+sbSx4FRGJiIZu+F5vY0+wpmOIdu+m/vLLeez0qQDcsuzFZscUiUjHoASsFW49bygAzy7fwcGKGpejEZG4Faobvs8H8+bx2qAz2NajPwMP7eGy4g+OPx5gTJGIdAxKwFphRJ9MLjglm6paH3/7YJvb4YhIvArVDb+iAjZs4NHTpwHwleULSLC+44+fMKZIRDoOJWCtdNu5zirYE+9vo6q23uVoRCQuheqGn5zMqpGTWDZwNJlV5Vyz5vXjjwcYUyQiHYcSsFY6e1gvRvfvyv7yahas2uV2OCISj0J1w6+p4dHDTj+wG1a/QkbN0eOPBxhTJCIdhxKwVjLGcKt/FeyRd7bg81mXIxKRuNPQDT9A49VdmdksHj6ZxPo6bl73RuNKWXp6yOtEpGNQAtYGl4/pR79uqWwqLWfJxlK3wxGReJSfD/fe64whauLxiZ+n3pPA5Zs+oN8PvwsPPgjz5jmPJSUnjSkSkY5FCVgbJCV4+MqUIQA8/PZml6MRkbi1YwdUVx/71JvchWfGOq0nZn/wPOzc6XTLv/de51ErXyIdnhKwNrpu0kAyUxL5YHMZa3YedjscEYlHJxTjPzvmUrwp6UzavoYx3t0qtheJQUrA2igzNYnrz8oF4JF3tAomIhHQpBi/znj4y4QrAX/jVRXbi8QkJWDt4OZzBpPoMSxas5udByvdDkdE4k1DUX1mJq+cfiE7u/dl8KHdXLJ3nYrtRWKUErB20L97F64Y0496n+Uv7251OxwRiUf5+VBSwvyrbwdgdl4anpJdKrYXiVFKwNrJLf6WFM8s3c7ho7UuRyMi8WjFgVo+qkqmW5ckZt5xrVa+RGKYErB2clpON6YM70VFTT1PL93udjgiEoceLXLqTL94Vi5pyYkuRyMibaEErB01NGb9y7tbqKkLMkBXRKQVdpRV8vLaPSQlGG46Z7Db4YhIGykBa0fnj8jmlD6Z7D1Szb8/LnE7HBGJI4+9uwWfhc+P7U+frqluhyMibaQErB0ZY7jl3MbGrNZqPJGItN3ho7U8u2wHALPzh7gcjYi0ByVg7ezKcf3Jzkxh/R4vRZv2ux2OiMSBwmXbqaip55xhvRjdv5vb4YhIO1AC1s5SEhO42V+fofFEItJWtfU+Hve3t2lYYReR2KcELAKcO5QSeKd4P+t2H3E7HBGJYYvX7KbkcBVDs9O5YERvt8MRkXaiBCwCuqclc+3EgYDGE4lI61lrebRoCwC35A/F4zEuRyQi7UUJWITMzh+Cx8C/Vpew53CV2+GISAxatvUgH+88TI+0JL5wRo7b4YhIO1ICFiEDe6Yx7bR+1NZbHn9vq9vhiEgMmu9fQb9x8iBSkxJcjkZE2pMSsAhqKJj9+4fbKK+uczkaEYklW/ZX8Nq6vSQnePivswe5HY6ItDMlYBE0PrcHkwb3xFtVR6G/h4+ISDj+8u4WrIWrxvend6Yar4rEGyVgEXbrec54oseKtlBXr/FEItK8Q5U1PLd8JwCz84eGPtnrhfnzYe5c59HrjUKEItJWmuYaYRef2puhWels3l/B4rV7uHJsf7dDEpEO7qml2zlaW8+5eVmc0jcz+IlFRTB9Ovh8UFEB6elw992weDHk50cvYBFpMa2ARZjHY7jFP6T7EY0nEpFm1NT5eMJ/407Dz46AvF4n+fJ6neQLnMeG58vLIx+siLSaErAo+MIZOfRKT2bNrsN8uKXM7XBEpAP798cl7D1SzYg+GZyXlxX8xMJCZ+UrEJ/POS4iHZYSsChITUrgRv9dTI9oPJGIBGGtZf47jY1XjQnReLW4uHHl60QVFbBpUwQiFJH2ogQsSm6cPIiURA9vrC9lU6mKZEXkZO9vPsCnu4+QlZHMleOaqRfNy3NqvgJJT4fhw9s/QBFpN0rAoqRXRgqzJgwAOPY/XBGRph71/2y4cfLg0I1XvV6oqoLa2sDHPR4oKIhAhCLSXpSARdHs/CEYAy+s3EWpV+OJRKTRptJy3lhfSnKih/+anBv8xKIiyMmBefOgpub4Y+npkJnp3AWZkRHZgEWkTZSARdHQ7AwuHdmHmnofT76/ze1wRKQDeexdZ/Vr5hk59MpICXxSoDsfGyQlwS9/CSUlakEhEgOUgEVZQ2PWJz/YxtGaepejEZGOoKyihn+saGi8OiT4iYWFUB/k50ZyMqSmauVLJEYoAYuyiYN6MG5gdw5V1vL8Co0nEhH46/tbqa7zceEp2QzvHaLx6ptvQmVl4GO681EkpigBizJjDLf5V8HmF22h3qfGrCKd2eHKWh4tcrYfb/OuDz5SyOuFF14I/kJpabrzUSSGKAFzwdTRfRnYswvbDlTy2qd73A5HRFz0yDub8VbVMWXHGs7+3jfg/vthzhyn0L6oqPHEwkLn7sZg6ut156NIDFEC5oIEj+EW/4Ddh9WYVaTTOlBezWNFzs+Au5c8EXqkUHFx8O1HgFmzVP8lEkOUgLnkmokD6NYliZXbD7Fsq8YTiXRGf357M5W1Pi7cupIJJetPPqHpSKHmGq9eeGHkAhWRdhexBMwYk2qMWWqMWW2M+cQY8xP/80OMMR8aYzYZYwqNMcmRiqEjS0tO5Cb/eKJfv7pBQ7pFOpnSI1XHhm7fveSJwCc1LayfPj34HZBqvCoScyK5AlYNXGStHQuMAz5njJkM/BJ4wFo7HDgIzI5gDB3a7HOH0q1LEh9sLuPdTQfcDkdEouihNzdRXedjanoVp5cHqQVtGClUVASnnnry8dRUNV4ViVHNJmDGmDuMMT1a+sLW4S9eIMn/ywIXAc/7n38CuKqlrx0vunVJ4qvnO7Vg/++V9VoFE+kkdh06ytNLd2AM3HXDlODF9R6Ps/LV0Hy16oQJGtbCxo1qvCoSg8JZAesDLDPGPGuM+ZwxxoT74saYBGPMKqAUeA34DDhkra3zn7ITyAly7W3GmOXGmOX79u0L90vGnJvPGUxWRgqrdx7m1U/3uh2OiETBH/5TTE29jyvG9OfUYX2dFazMzMYar6YjhRYtcmrBAklMdI6LSMxpNgGz1v4AyAMeBW4Gio0xvzDGDAvj2npr7ThgADAJCLCGHvTah621E621E7Ozs8O9LOakJSdyx0VO755fv7pBfcFE4ty2AxU8t3wnHgNzLslznszPd0YIPfigM+PxwQcbRwoVF588dqiBmq+KxKzEcE6y1lpjzB5gD1AH9ACeN8a8Zq39bhjXHzLGvAmcDXQ3xiT6V8EGALtaH358uG7SQB5+ezMb95azcPUurh4/wO2QRCRCHnyjmDqfZdaEAQzLblK3lZEBswOUxDbc/RgoCWuoERORmBNODdidxpgVwP3Au8Dp1tqvAxOAmSGuyzbGdPd/3AW4FFgHvAnM8p92E7CgLb+BeJCSmHDsf8IPvFZMbX2Q7QYRiWmbSst58aNdJHoMd16cF95FBQWha8R096NITAqnBqwn8AVr7VRr7XPW2loAa60PuCLEdf2AN40xHwPLgNestf8G5gJ3G2M2Ab1wtjY7vavH5zA0O53tZZU8u1wzIkXi0W9f34jPwrVnDmRgz7TwLmqoBQtWI6a7H0VikomFO+8mTpxoly9f7nYYEbfo493c/tRK+nRN4a3vXEhqUoLbIYlIO1m3+wjTHnyH5EQPb33nAvp169KyFygvd5qybtrkbDsWFCj5EukAjDErrLUTW3pdWDVgEh3TTuvL6P5d+aTkCE++v41b/UO7RST2/ea1jQDcMCm35ckXBK8RE5GYpFFEHYjHY/jvqacA8Mclm/BW1bockYi0h493HuK1T/eSmuThGxc2ewO5iHQCSsA6mAtGZHPm4B4crKzlsaKtbocjIsF4vTB/Psyd6zx6vUFP/fWrzurXTWcPpndmarQiFJEOTAlYB2OM4b8vc1bBHnlnMwcralyOSEROUlQEOTkwZw7cf7/zmJPjPH+C5VvLeGvjPtKTE/jq+Vr9EhGHErAO6KyhvThvRDbl1XX86a3P3A5HRJryehtHAzX05qqoaHy+vPy40xtWv2bnD6FnenK0oxWRDkoJWAf1Hf8q2OPvbWXvkapmzhaRqCksDD4ayOdzjvu9t2k/728+QNfURGaf67+ppgVblyISv5SAdVCnD+jGtNP6Ul3n4/f/KXY7HBFpEOZoIGstv/bf+XjbeUPp1iWpRVuXIhLflIB1YHdfOgKPgWeW7mD7gUq3wxERaBwNFEiT0UBLNu5jxbaD9ExP5uYpQ1q8dSki8U0JWAeW1yeTq8bnUOez/PaNjW6HIyIQ1mggay2/8dd+fe38oWSkJLZo61JE4p8SsA7urktGkJRg+OdHu9i4V7UiIq4LYzTQq5/uZc2uw2RnpnDj5MHOOc1tXT7yiGrCRDoRJWAd3MCeaVx3Zi7Wcux/1CLisvx8KCmBBx+EefOcx5ISyM/H52tc/br9gmF0SfaPFAu1dQnw4YeqCRPpRDQLMgaUHqnivP/3JlW1PhZ+cwpjBnR3OySR+OP1OtuAxcVOslRQ4KxqtdDC1SV86+mP6N8tlTe/cwEpiQmNr5+TE94KV2amk9Bp1qNIh9faWZBaAYsBvbumctM5gwH4lVbBRNpfO92dWFfv47evO9+jd1yc15h8QeCty2BUEyYS95SAxYivnTeMzJRE3t64jw82H3A7HJH40Y53J764qoTN+yrI7ZnGrAkDTj6h6dblWWcFf6Em7SxEJD4pAYsRPdKTucXfyPFXr2wgFraORWJCO92dWFvv40H/3cp3XpxHUkKQH68ZGTB7NtxyS1jtLEQkPikBiyGzz3VGmSzfdpAlG/a5HY5IfAizsWpznlu+kx1lRxmWnc5V43OavyCMdhYiEr+UgMWQjJREvnGBM8z3/72yAZ9Pq2AibRZmY9VQqmrrj02smHPJCBI8pvmvG0Y7CxGJX0rAYsx/TR5E366pfLr7CC+t3eN2OCKxrx1Wop5Zup3dh6s4tW8ml5/eL/yvHaKdhYjENyVgMSY1KYE7Lnb+R/7r1zZQVx+kdkVEwtPGlaijNfX84c3PAP/4sHBWv5pqqAm7917nUStfIp1CotsBSMtdO3Egf35rM5v3VfDCR7u4duJAt0MSiW0NK1GFhU7N1/DhzspXGMnQX9/fyv7yasYM6Malo/pEIVgRiQdKwGJQUoKHuy8dwZzCVTz4ejEzxvU/vt+QiBwvnCarDStRLVBeXcef3mpc/TKmhatfItJpaQsyRn1+bH9O6ZPJrkNHefrD7W6HI9JxtVOT1UD+UrSFg5W1TBjUg/NHZLf59USk81ACFqMSPIZvXzYCgD+8+RmVNXUuRyTSAbVjk9UTHSiv5uF3NgPw7cu0+iUiLaMELIZdOqoPYwd2Z395NY+/t9XtcEQ6nnZqshrIL19ej7eqjnPzsjhnWFarX0dEOiclYDHMGMN3LjsFgD8t+YzDR2tdjkikg2mnJqsnWr61jGeX7yQ5wcNPrhzdhgBFpLNSAhbjpgzvxdlDe3Gkqo6H3/7M7XBEYkd6OgwYAPPnw9y5zqPX2+xldfU+fvDiWgBuO28oQ7PVNkJEWs7EwkzBiRMn2uXLl7sdRoe1YttBZv7fe6Qkenj1rvMY1CtIV2+RzsTrhX79gq+AdekCCQlgrXNOerrTeHXx4pCNUB8r2sJP//0pOd278Prd59MlWXcgi3RmxpgV1tqJLb1OK2BxYMKgHlw9PofqOh8/WvCJBnWLANxzT/DkC6C+3inCb0Fx/t4jVfzmNWfg9k+uHH188uX1tng1TUQ6LyVgceJ700fSNTWRtzbuY9Ga3W6HI+Iurxd++9vQ5wT7j0qI4vyfL1pHeXUdl4zszSVNm65GsNWFiMQnJWBxIjszhbnTTgXgp//6lCNVKsiXTqywEEK1hfB4oDbI90iQ4vz3Nu1n4eoSUhI9/PjzTQrvI9jqQkTilxKwOHL9mbmMz+1Oqbea37y60e1wRNxTXAzV1cGPG9M49/FE6enOKKImaup8/HCBU3h/x0XDGdgzrfFgBFtdiEj8UgIWRzwewy+uPp0Ej+GJ97fy8c5Dbock4o68vOAJFsAddzirYIF4PM6ooibmF23ms30VDM1K59bzhh5/foRaXYhIfFMCFmdG9uvK7PwhWAvf++ca6n0qyJdOqKAgeIKVkuI8fv3rzvzHhkQtPd2ZD7l48XFDuHcerOT3bzhJ1E9mjD557mqoZC/AapqICCgBi0t3XpxH/26prN11hCff3+p2OCLR15BIZWY2Jkepqc6jMU6B/kMPOZ9/85swbx48+CCUlJzUguKn//qUo7X1XD6mH+fmBZj3GCrZC7CaJiICSsDiUnpKIv/r7879q1c3sudwlcsRibggP99JqB58EO6+u/Guxyr/90NFhVMg/8c/wve/D7NnH7fyBfDm+lJe/XQv6ckJ/PDyUYG/TqBkL8hqmohIAyVgceqy0X25dFQfyqvr+Nm/P3U7HBF3ZGQ4idXIkZCYGPicIIXyVbX1/HjhJwDMuWQEfbv5V9AC9ftqmuyFWE0TEWkQ5CeSxIP/vXI0727az6I1u5m1oZQLT+ntdkgi7mhFofwfl3zG9rJKTumTyc1TBjtPFhU5rSV8vsbu+Xff3dg9f/bsyP0eRCSuaAUsjuV078Jdl4wA4EcL1nK0pt7liERc0sJC+a37K/jTW85s1Z9ddRpJCR71+xKRdqUELM7dPGUwp/bNZEfZUf7wZrHb4Yi4I1ShfF2dk0D5WWv50cJPqKnz8YUzcpg0pKdzQP2+RKQdKQGLc0kJHn5+9ekYAw+/vZnivZpPJ51Q00L5hrshGxgDp5xybGzQy2v38PbGfXRNTeR/po1sPE/9vkSkHSkB6wQmDOrB9ZNyqa23fP+fazWsWzqn/HzYsOHk56uqjm0jVpQd5qf+m1a+M/UUsjNTwntt9fsSkRZSAtZJzJ16KlkZySzdWsbzK3a6HY6IOxYtgoSEwMd8Pn73yMvsPlzF6TnduOGsQY3HvF6nXUUwxqjfl4i0iBKwTqJbWhI/8Pcx+sXidZRV1LgckYgLQmwjbuzSi0cPpmGMU3if4GkyzLuwsLGPWCC3365+XyLSIkrAOpEZ4/pzzrBeHKys5b6X1rkdjkj0Bbkb0gI//Nzt1OHh+km5jBvY/fgTQtV/AXz8sbNKJiISJiVgnYgxhp9ddRrJCR6eXb6TpVvK3A5JJLqC3A354qgL+DBnND3Tkvju1FNOvq654d7/+Q/k5Bwr5BcRaY4SsE5mWHYGX79gGADf/+caauqC3FYvEo8CjA063CObn198CwDzpo+ke1ryydeFamMBUF2tfmAi0iJKwDqhr18wjMG90iguLWd+0Wa3wxGJrhPGBj3wnT+wP607Ewb1YNYZAwJf0zRxSw6QoDVQPzARCZMSsE4oNSmBe646HYDfvVHMjrJKlyMSiTL/jMi135zHX4+k4zHwsxmn4WlaeH+ihsTtoouCn6N+YCISJiVgnVR+XhYzxvWnqtbHDxeoN5h0Pj6f5QcvrsVn4eZzhjCqf9fmL8rIgJkzWzTWSEQkECVgndj3Lx9JZmoiSzbs4+W1e9wORySqnl2+g1U7DtE7M4W7Ls0LfqLXC/Pnw9y5zuP06cHrwTwe9QMTkbAoAevEememMvdzpwLwv//6BG9VrcsRiURHWUUN9728Hmj4j0hS4BOLipy7G+fMgfvvdx5PPRXuu++4Qn7S0xvrxNQPTETCkOh2AOKuGybl8vyKnazacYjfvLaRH39+tNshiUTc/S+v51BlLecM68WVY/sHPqnhrsam/b0aeoHNmwcbNzqd9TdtcrYdCwqUfIlI2CK2AmaMGWiMedMY86kx5hNjzJ3+53saY14zxhT7H3tEKgZpnsdj+PnVTtfvJ97bytpdh90OSSSiVmw7yDPLdpCUYPjpjNMwJkjhfWGhc1djID6fk3zNng333us8KvkSkRaI5BZkHfBta+0oYDJwuzFmFDAPeMNamwe84f9cXDS6fze+fM5gfBa+98811PtUkC8x5MQarRAd6b1VtXz72VUA3HLuUIb3DpE0hep+r7sdRaSNIrYFaa3dDez2f+w1xqwDcoAZwAX+054AlgBzIxWHhOeuS0ewaM1uPt55mL9/uI0vnT3Y7ZAkXnm9zupScbHTYb6gwKmfao2iImebsL4eKishMRG++U1YuBAuu+y4U621fP+fa9l6oJJT+2Zy58UhCu+hsft9oCRMdzuKSBuZaLQfMMYMBt4GTgO2W2u7+583wMGGz0+45jbgNoDc3NwJ27Zti3icnd0rn+zhq0+uIDMlkdfuPp++3VLdDkniTUPC5PM5iU16unPn4OLFTp+tlvB6nQL5YCter7xyXBJWuGw7c/+xhrTkBP51Rz7DsjMaXydQQhjq9TMznZ5g2nYU6fSMMSustRNbel3E74I0xmQA/wDmWGuPND1mnewvYAZorX3YWjvRWjsxOzs70mEKcNmoPlwysjfe6jrufOYj6uo1pkjaUdOi9oZVpYqK1o/wKSx0Vr6CmTHj2Gtu3Ovlxws/AeCeq05rTL4C3eXYdKbj178OSUmN3e91t6OItJOIJmDGmCSc5Ovv1toX/E/vNcb08x/vB5RGMgYJnzGGX3zhdLIzU/hwSxkPvL7R7ZAknjRX1N7SET7Fxc62YzD19VBYyNGyQ9z+0BtU1fqYmVnJF/K6OcdDJYRTp0L//vDQQ1BbC8Y4Sdg3v+msfLV0tU5E5ASRvAvSAI8C66y1v2lyaCFwk//jm4AFkYpBWq53Ziq/u248HgMPvfkZb25QfiztJNpF7bW18Oab/OTmn1Fck8SwAzv46a++1rjCFSohrKx0Vs8a4q2uhpoa+OMf2zdGEem0IrkCNgW4EbjIGLPK/2s6cB9wqTGmGLjE/7l0IGcP68W3LzsFgLsKV1Fy6KjLEUlcaChqD6SlRe1eb/PJUFoaC9bs4ZlRF5FcV8MfFvyS9ENljStfn3wSPCEMRsO2RaSdRCwBs9YWWWuNtXaMtXac/9dia+0Ba+3F1to8a+0l1tqySMUgrff184dx/ohsDlXWcvtTK6mpUz2YtFFBQfuN8CkshGZuINqS2ZvvXfw1AH78+sOM3Le18aDPB2VlwRPCYNR+QkTaiUYRSUAej+GBgnH065bKR9sPcb9/bItIqzUUr7fHCJ9Q25lAdWoX7rjhp1Qkd+Hy9e9ww+qXjz+hogKysoInhMGo/YSItBMlYBJUz/Rk/nDDeBI9hvlFWzSwW9ouP98pYn/wQWecz4MPwoYNsH59WI1Ujwm1nZmSwr3ff5S1yT0ZeHgv9770e07qdZ+eDqNGBU4IMzKgS5fAr61h2yLSTqLSB6ytJk6caJcvX+52GJ3W/Hc2c8+idWSmJrLojnPJ7ZXmdkgSL1rbFyxEj65XxlzIV6d9mySP4flnv8fYz1affH3TPl7l5c6WZtOZjqtWtV+/MhGJa63tA6YETJplreW2J1fw2qd7OS2nK89/7RxSkxLcDktiXVsbnQZI3nZ27c302b/nSC384PKR3GJKWp9IBUrM1PtLRE7Q2gQsYqOIJH4YY/jVrLFc8Yd3WLvrCD9ftI6fXXWa22FJrAunL9i11wYfW9SwnelPkmqHDedbVSM4svMIF5/am9n5Q8AMPe6cFiVSGRnOkG0RkQjQCpiE7eOdh5j1f+9TU+/j99eP5/Nj+7sdksSyuXOd7vPBfPGLzkzHMFevfvnyev5vyWf07ZrK4jvPpWd6cnhxtOdsShHpdDrsKCKJH2MGdOeHV4wEYN4/PmbzvhaOjhFpKlQhfVoaPP982GOL3tq4j/9b8hkeA7+7fnz4yVdzo4hERCJECZi0yH9NHsQVY/pRUVPPN/6+kqraELP4REIJ1RfM54OEIHWGJzRDLT1Sxd2FqwC465IRTBrSM7yv396zKUVEWkAJmLSIMYb7Zo5haFY66/d4+fGCT9wOSWJVqL5gX/hC8DmPTZqh1vsscwpXcaCihinDe/GNC8Po0eX1Ou0urrnGGS8UiDrei0iEKQGTFstISeShL55BSqKHwuU7eH7FTrdDklgVqC9YSQlceGFYY4seenMT7312gKyMZB4oGEeC56SOX8druuX4yivOjMdA1PFeRCJMRfjSas8u28F3//ExqUkeFtyezyl9Vbgs7SSMFhUfllZz/SMfYIG/fmUS5+Zlt/41T5Se7iSDugtSRJqhInyJumsmDmDmGQOoqvXxjb+voKK6zu2QJF40M7aozCTzrWc+wmeduaXHJV9eL/zhD/C5zzm//vCHxjsdg7W9OJE63otIhKkPmLSaMYafXTWaNbsOsXFvOd/75xp+WzAOY5rZBpLYFc2WDSf0+Wro4WXT0/nvJ5az90g1Ewf14O5LRzTG9eabzt2TTWu7XnkFvvtduPrqkPMjgeNbXajpqohEkLYgpc02lXq58g/vUllTzy+uPp0bzsp1OySJhNaODWpnDaOxunVJYvGd55KzdoUTV3198MJ9gJQU587KQOckJ8PFF8PMmep4LyItolFE4qoFq3Zx5zOrSE708MLXz+G0nG5uhyTtqa1jg9rydZusuK3Kn8asv66mzmd55EsTuXRgWvh1XcnJYEzgwvtI/h5EJK6pBkxcNWNcDjeclUtNnY/bn1rJkapat0OS9hTO2KD2dkKT1MPf/R53PPgKdT7Ll6cM5tJRfVpW11VTA7NmBa0rU/IlItGkBEzazY+uGMWofl3ZdqCSuc9/TCysrkqYiouD109FomXDCU1SfRj+57zZ7OjWh9NLNzPv3IHNx3Wi5GSnvUWgthdR3EIVEQEV4Us7Sk1K4I9fPIPP/76Il9bu4fH3tvLlKUPcDkvaQ8PYoEDJTpO+XGFrrpi/ycqWBX528S0sPjWfjOpKfv/Kb0n5R5rTIiJUXCdKTm6s71J7CRFxmVbApF0Nzkrn/lljAPjF4nV8tP2gyxFJuwg1NqilLRvCmb/YZGXrN+f+F3+ZOIPkulr++OK9DC7Z3LjiFiquprp0gZde0jajiHQYSsCk3U07vR9fnjKY2nrLV59cwZb9YW4RScfVTF+usBObcOcv+le2/jRpJr8/5zoSfPX8buH9nLf1o+NX3ALFlZbm3PE4eTJMm+b0ASst1TajiHQo2oKUiPifaSNZv9vL+5sPcMMjH1B429nk9kpzOyxpiyB9uVq0qhROMf/s2VBQwJOPvsR9538ZY338atEDfK74fee8E1fc2iMuEZEoUwImEZGc6OHRmydy82PLWLq1jOsf+YDCr05mQA8lYRETjSapba2fCrOY/4Xiw/zw/K8AcM+SR7n60yWhm6SqrktEYowSMImYtOREHvvymXzp0Q9Zuf0Q1z/yAc9+9Wz6devidmjxJ1CT1LvvjnqT1GaFUcz/8trd/PdzqwH43sVD+WLe5+GikVrZEpG4okasEnFHqmq5cf6HrN55mCFZ6Txz22T6dE11O6z44VaT1NZoJtYl76zl1mfXUltv+dbFec6YIRGRDkyNWKXD6pqaxF+/chaj+3dly/4KbnjkA/Z5A3Qjl9Zxo0lqa4Uo5v/wyYV89blPqK23zM4fwl2X5Lkbq4hIBCkBk6jolpbE32afxal9M/lsXwVfnP8BB8qVhLWLaDdJbauGovkmzVBXL1/P7JXVVNf5uO7Mgfzg8pEa6i4icU0JmERNj/Rk/nbLWeT1zmDj3nK+OP9DDlbUuB1W7GuoqwqkNU1So6GhaP7ee1l/+TV86em1lFfXceXY/vz86tOVfIlI3FMCJlGVlZHC3289i6HZ6azf4+XGxz7kcKXmRrZJezZJjbIt+yv4r/lLOXy0lktG9uHX144lwaPkS0TinxIwibremak8fetkBvdKY+2uI3zpsQ81vLst2qtJapTtOnSULz7yAfvLq5kyvBd/uGE8SQlNfiR5vTB/Psyd6zwGKtwXEYlRugtSXFNy6CgFD7/PjrKjTBjUgye+MomMFHVGabXy8phpRlrqreLaP73P1gOVTBjUgydnTyItucmffaC2Gg09wDpSWw0R6fRaexekEjBx1Y6ySq57+AN2HTrKpME9efwrZx7/D7F0XK1s/HqwoobrHv6ADXu9jO7fladunUy3LknHv26stNUQkU5PbSgkJg3smcZTt55F366pLN1axuzHl3O0pt7tsKQ54QzUhpO2Eb37D3LzX5ayYa+X4b0z+OtXJh2ffEFstdUQEWklLTWI6wb1SuepW8+i4OEPeH/zAW57cjmPfGkiqUkJbocmgTQdqN2goQ3G9OmNK1QnbCMe7daD2W8dYnXOSAb27MLfZp9Fr4yUk18/1tpqiIi0glbApEMYmp3B07eeRa/0ZN4p3s/X/7aC6jqthHVI4axQNU3SKiqoTkjka5fdydKckfQtP8BT159O324nTENoWC1bvRqSkwO/fkdtqyEi0kJKwKTDGN47k6dunUyPtCTe3LCP2//+ETV1Qf6hF/eEs0LVJEmrMx7u/Px3eGvoRHpVHOJvL97DwFcXHn9d0y3NV16BmiD94Tp4Ww0RkXApAZMO5ZS+mfztlrPo1iWJ19ft5c5nPqKuvpMnYR2tHUM4jV/9SZoPw3enz+HlU6bQtaqcvz77Q4bvKj5+G/GE1bKgr9vB22qIiLSEEjDpcEb378bfZp9FZmoiL63dw13Pro7vJCxUghVusXs0hdP4NS8Pb/cs7pjxXV447SLSao7yl+f+l9GlW07eRgy1pZmSAtOmOWOLSkrUgkJE4oaK8KVDOn1AN/76lUnc+OhS/rW6hESP4VfXxGGX9ED9ru6+21npGTs2vGL3aGtYiQrWpysjg08vuJzbC2BL936kV1fyyAv3MKFkvXP9iduIobY0q6ud92H27Mj/vkREokgrYNJhjc/tweNfPpO05AT++dEurn/kA3YfPup2WO0n0NZbRUXj80880THbMXi9sH69kxTNnOkkjP4VKjtlCoXLtnP146vY0r0fpx7Yzr+e+x7nbP84+DZiLM6yFBFpI62ASYc2cXBPnvjKJL7x95Us3VLGtAff4ZczxzB1dF+3Q2u7UFtv1dXwq191vHYMITrUVyan8oPnVvPCyl0AFEwcyE8uzid1cnLo7vwFBU4SF4iK7kUkTikBkw7vzME9eenOc/nv51azZMM+vvrkCv5rci4/uHxUbPcKC7X1VlMD27YFv9aNlaEQ/b82ffEWvvGt/2Pjvkq6JCVwz1WnMXPCAOec5rYPw9jSFBGJN0rAJCZkZaTw2E1n8pf3tnLfS+v42wfbWbblIL+7fjyn9G1+/E2H1LD1FiwJC8WNlaEgK3YvjrqA7039JpX7KhneO4M/fvEMRvRp4Z9Jfr5T0xYjsyxFRNpKsyAl5qzddZhvPf0Rm/dXkJLo4YdXjOKLZ+ViTIwV6IeaeRhKSgq8/nr07wicO9e5E9OvKiGJn1xyG0+PmwbAVZTy85/cSLoGqotIJ6JZkNJpnJbTjX/dkc81EwZQXefjBy+u5Wt/W8GhyiDNOzuqhq23zMzgReiB3H67O+0YmhTLb+3ejy/c+CueHjeN5Loa7v3Pn3lguK91yVdH63MmIhIFWgGTmLZg1S5+8M+1eKvr6Nctld8WjOOsob3cDqtlysudrbd//AP+8x+nAD+Y9HTnjkM32jL4V+wW9x/Dd6fdSXlKGoPLSnhowb2MPrq/dW0xQhT1q+eXiMSC1q6AKQGTmLejrJJvPfMRH20/hMfAHRflccdFw0lMiLEF3nC2JDMzXev/VVPn4xfz3+Dxrc5K4/T1Rdz39ny61lW3LmEK9ft18fcpItIS2oKUTmtgzzSe/erZ3H7hMCzw4BvFXP/IB+w6FGM9w5puSaaeMKg6NdXVUTw7D1ZyzZ/f5/GtNSR5DP+bfYSHToWu/+++1neoD2eot4hInFK1rMSFpAQP35l6KlOGZTGncBXLth5k2m/f5pczxzDt9H5uhxe+pncDfvopHDgAvXrBqFGu3RX4xrq93P3sag4frSWnexce+uIZjBvYHbg++EVer/N7KC52ascKCpwEsqlwhnqLiMQpJWASV84ZnsXLc87jO8+t5o31pXz97yu5flIuP7piFF2SY6RnWEZGhxi9U1vv41evbuDPb20G4OJTe/Pra8fSPS059IWhxis1XSkL1YZDHfBFJM6pBkzikrWWJ97byi8Wr6em3kde7wx+d/14Rvbr6nZo4QlnBSmC9hyu4o6nV7Js60ESPIbvTj2FW88diqe5WZwtqetSDZiIxAHVgIk0YYzh5ilDePH2KQzLTqe4tJwZD73LX9/fSof/T0dRkZOYzJnj9N2aM8f5vKgo4l+61FvF/S+v59IH3mLZ1oP06ZrCM7dN5qvnD2s++YKW1XUFasMRbF6kiEic0RakxLVR/bvyrzvy+em/PuWZZTv40YJPWPTxbm49dygXntqbhHCSimgKMe6H6dMjtir02b5y5r+zmX+s2EVNvZNAXXhKNr+6Ziy9MlLCf6GW1nWpA76IdFIRS8CMMY8BVwCl1trT/M/1BAqBwcBW4Fpr7cFIxSACkJacyH0zx3BuXjb/88LHfLiljA+3lJHbM40vnT2IayYOpFuXJLfDdISzgtSO9WErtx/kz299xquf7sVaMAY+N7ovt50/lDNye7T8BVtT19VBat5ERKIpYjVgxpjzgHLgr00SsPuBMmvtfcaYeUAPa+3c5l5LNWDSXg5X1vLs8h088f5Wdh502lSkJScw84wB3HTOYIb3dnnl5YRxPyeZNw/uvbdNX8Lns/xnfSkPv72ZpVvLAEhO9DDzjAHceu4QhmYHeQ/CqUtTXZeIdDKtrQGL2AqYtfZtY8zgE56eAVzg//gJYAnQbAIm0l66pSVx63lD+Ur+EN5Yt5fH39vKe58d4MkPtvHkB9s4Ny+LL08ZzAUjeodX89TeInhnYE2djwWrdvHw25spLi0HoGtqIjeePYibzhlM78zU4BeHe2djQ/1WsO72Sr5ERIAI3wXpT8D+3WQF7JC1trv/YwMcbPg8FK2ASSRt2OPlife38sLKnVTVOtt/g3ul8aWzBzNr4gC6pkZxezICK0hHqmp5+sPtPPbuFvYeccYc9euWyuz8IVw3KZeM5uY3tiamhvFKqusSkTjXIUcRhUrA/J8ftNYGLDQxxtwG3AaQm5s7Ydu2bRGLUwTgUGWNsz353rZjXfTTkxOYNWEAXzpnMMOCbc211Ylbe7m5MGtWm+cj7j1SxWPvbuGpD7bjra4D4NS+mdx23lA+P7Y/SeGOapo/37kTM9iqnFuzKUVEOoAOtwUZxF5jTD9r7W5jTD+gNNiJ1tqHgYfBWQGLVoDSeXVPS+a284YxO38or6/by+PvbuX9zQd44v1tPPH+Ns4fkc3NUwZzfl52+21PBhtG/fzzsGNHq1aQNpV6efjtzfzzo13U1jvfOpOH9uRr5w/j/BHZOIvPLaCO9SIi7S7aCdhC4CbgPv/jgih/fZFmJXgMU0f3Zerovqzfc4Qn3tvKCyt38dbGfby1cR9DstK56exBzJwwgMy2bE+Gajkxa1bY241lFTUU7/VSXFrOkg37eH3dXgA8Bi4/vR+3nTeUsQO7n/y1w230GqouLSnJidPrjWqjWBGRWBfJuyCfxim4zwL2Aj8GXgSeBXKBbThtKMqaey3VgInbDlbUULh8B0++37g9mZLoYUhWOgN7ppHb5NfAnmkM6NGF1KRmRh+1YGvPWsu+8mo27S2nuLSc4lIvxXvL2VRazoGKmuMuTUn0cM3EAdySP5TBWenHv67XC/fcAw884PScqKlpfoszVA0YQFoaJCS0eItURCQedMgasPaiBEw6irp6H6+v28tj725l6ZbQ/3fo2zX1WEKW2zON3F5djn2enZGCmTfvpJYTFtiT2YviXrkUF3yZTZPOp9ifdB0+Whvw62SkJDK8dwZ5vTM4tV9XZozrT1ag5qlFRTBtmlMgH0ioIv+GrdL6eqisbPn1IiJxSgmYSJQdrqxle1nlcb92+B93HTpKvS/491ZqkodcU03uhtUMOFBCRXIXirMGsqlXLuUpaQGv6ZqayIg+meT1yWB470zyemeQ1yeDvl1Tm6/ram4VC5ovqC8vh9tvh6eegrq6ll8vIhKHYqUIXyRudEtL4vS0bpw+oNtJx+rqfew+XHUsITsxQTtYWctGktg4ZCIMOf7anpWHyTu4i7wrLyEvpwd5vTMY3ifDWTVraQF9g1Ad9hs0V1CfkQF9+wZOvsK5XkREjlECJhIBiQkeBvq3G88JcPxIVS07yirZ8e5Ktv/+YbrUVJNXUkxe5X561VT466nGt19Aoe5kbBBOo9cINooVEelMtAUp4rZoNC0NVfDfIJwaLo0aEhE5jrYgRWJVW4ZRh9tOoqDAGR0UKoZwRgVp1JCISLvQCpiIm1rSj+tEwZq4BmsHceL5KSlgLdx1F/zgBy1LnjRqSEQE0F2QIrGnpQlUU63dClTiJCLSrrQFKRJLQnXBnzYNdu8OnRiFuqvR53OOB9rWbMt2p4iItJswp/GKSLsKlUCVlzvd6kPRfEYRkZimBEzEDc21hXjggeAd66GxHUQgbWkH4fU6d0zOnes8hmrcKiIiraYETMQNeXmQnBz8uDHOKlkwBQVOvVggHo9zvKWKipy6sjlznBFJc+Y4nxcVtfy1REQkJCVgIm4oKHDuQAymujr0NmJDO4jMzMaVsPT0xuebK6w/caWrpKSxJq1hZa6iorFWLdRqnIiItJiK8EXckJnptH84YRj3MeFsI+bnO4lTS+9qDHT35Te/6ay6BRKqqF9ERFpFK2AibgnVeyvcbURrnV8+X+PHoTS9+7LpSld1NVRVBb5GRf0iIu1OK2AibsnMhJdeCq+rfKCGratXOy0ramudBColxVlVe+ml4H3EwhnKfSLNeBQRaXdKwETcFM42YqAtw7vuaky8GlRXO7+mTnVea9GikzvshzOU+0StLeoXEZGglICJuC1Uc9RQDVuDqayEIUMgMbExYbv7bmdVraF9RaDXSE11HhMSNONRRCTClICJdGSt2TKExtUwaEy2pk+HDRuCD+VOSoKNG52VM40qEhGJKCVgIh1N03qv1atbvmUYjM/nrGYtXhy87qxvX93tKCISBUrARDqSE+u9QjVrbamGuxlnz25d+woREWk3SsBEOopA9V41Ne33+k3vZtRQbhERV6kPmEhH0Vy9V0qK89jQ8f6hh5xEqmGVLDnZOZaWFvh63c0oItJhaAVMpKNorkXERRfB2LHHbxl+6UsnbyWuWhVebzEREXGNEjCRjiJUi4j0dJg58+Rtw0Bbia0dUSQiIlFjbHOjSzqAiRMn2uXLl7sdhkhkeb2Qk3N8DViDzEwnqVISJSLSoRhjVlhrJ7b0OtWAiXQUmZnONmFmprPiBY31Xto+FBGJK9qCFOlItH0oItIpKAET6WjUIkJEJO7FRA2YMWYfsM3tODqBLGC/20F0MnrPo0vvd/TpPY8uvd/Rd4q1NrOlF8XECpi1NtvtGDoDY8zy1hQSSuvpPY8uvd/Rp/c8uvR+R58xplV3CaoIX0RERCTKlICJiIiIRJkSMGnqYbcD6IT0nkeX3u/o03seXXq/o69V73lMFOGLiIiIxBOtgImIiIhEmRKwTswY09MY85oxptj/2CPIefXGmFX+XwujHWesM8Z8zhizwRizyRgzL8DxFGNMof/4h8aYwS6EGVfCeM9vNsbsa/L3+hY34owXxpjHjDGlxpi1QY4bY8zv/H8eHxtjzoh2jPEkjPf7AmPM4SZ/v38U7RjjjTFmoDHmTWPMp8aYT4wxdwY4p0V/z5WAdW7zgDestXnAG/7PAzlqrR3n/3Vl9MKLfcaYBOAhYBowCrjeGDPqhNNmAwettcOBB4BfRjfK+BLmew5Q2OTv9fyoBhl/Hgc+F+L4NCDP/+s24P+iEFM8e5zQ7zfAO03+fv80CjHFuzrg29baUcBk4PYAP1da9PdcCVjnNgN4wv/xE8BV7oUStyYBm6y1m621NcAzOO97U03/HJ4HLjbGmCjGGG/Cec+lHVlr3wbKQpwyA/irdXwAdDfG9ItOdPEnjPdb2pm1dre1dqX/Yy+wDsg54bQW/T1XAta59bHW7vZ/vAfoE+S8VGPMcmPMB8aYq6ITWtzIAXY0+XwnJ3/THjvHWlsHHAZ6RSW6+BTOew4w079N8LwxZmB0Quu0wv0zkfZztjFmtTHmJWPMaLeDiSf+MpHxwIcnHGrR3/OY6IQvrWeMeR3oG+DQ95t+Yq21xphgt8QOstbuMsYMBf5jjFljrf2svWMViaJ/AU9ba6uNMV/FWYG8yOWYRNrLSpyf2+XGmOnAizjbYtJGxpgM4B/AHGvtkba8lhKwOGetvSTYMWPMXmNMP2vtbv8yaWmQ19jlf9xsjFmCk/krAQvPLqDp6soA/3OBztlpjEkEugEHohNeXGr2PbfWNn1/5wP3RyGuziyc7wNpJ00TA2vtYmPMH40xWdZazYhsA2NMEk7y9Xdr7QsBTmnR33NtQXZuC4Gb/B/fBCw48QRjTA9jTIr/4yxgCvBp1CKMfcuAPGPMEGNMMnAdzvveVNM/h1nAf6wa9LVFs+/5CXUZV+LUc0jkLAS+5L9LbDJwuEn5g7QzY0zfhjpSY8wknH/r9Z+6NvC/n48C66y1vwlyWov+nmsFrHO7D3jWGDMb2AZcC2CMmQh8zVp7CzAS+LMxxofzTXyftVYJWJistXXGmG8CrwAJwGPW2k+MMT8FlltrF+J8Uz9pjNmEU1h7nXsRx74w3/NvGWOuxLmzqQy42bWA44Ax5mngAiDLGLMT+DGQBGCt/ROwGJgObAIqgS+7E2l8COP9ngV83RhTBxwFrtN/6tpsCnAjsMYYs8r/3PeAXGjd33N1whcRERGJMm1BioiIiESZEjARERGRKFMCJiIiIhJlSsBEREREokwJmIiIiEiUKQETERERiTIlYCIiIiJRpgRMRDoFY8yZ/uHbqcaYdGPMJ8aY09yOS0Q6JzViFZFOwxhzD5AKdAF2WmvvdTkkEemklICJSKfhnw25DKgCzrHW1rsckoh0UtqCFJHOpBeQAWTirISJiLhCK2Ai0mkYYxYCzwBDgH7W2m+6HJKIdFKJbgcgIhINxpgvAbXW2qeMMQnAe8aYi6y1/3E7NhHpfLQCJiIiIhJlqgETERERiTIlYCIiIiJRpgRMREREJMqUgImIiIhEmRIwERERkShTAiYiIiISZUrARERERKJMCZiIiIhIlP1/MhIA5d/lb1IAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "n = 2 # Wielomian drugiego stopnia\n", - "\n", - "x, y = get_poly_data(np.array(data_marks), n)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" - ] - }, - { - "cell_type": "code", - "execution_count": 74, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "40.024\n", - "[[1. 0.80130703 0.64209295]]\n", - "[0.8013070252607767]\n" - ] - }, - { - "data": { - "text/plain": [ - "array([37.16059534])" - ] - }, - "execution_count": 74, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "\n", - "\n", - "n = 2 # Wielomaian pierwszego stopnia\n", - "x, y = get_poly_data(np.array(data_marks), n)\n", - "model = polynomial_regression(x, y, n)\n", - "\n", - "index = 2\n", - "print(data_marks[index].item(1))\n", - "print(x[index])\n", - "print([x[index].item(1)])\n", - "model([x[index].item(1)])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 87, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Wielomian 1 stopnia, MSE = 465.8122515203192\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "\n", - "\n", - "# data_marks_test\n", - "plot_and_mse(data_marks, data_marks_test, 1) " - ] - }, - { - "cell_type": "code", - "execution_count": null, + "execution_count": 155, "metadata": {}, "outputs": [], - "source": [] + "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": 13, + "execution_count": 156, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Archive: archive.zip\n", - "replace insurance.csv? [y]es, [n]o, [A]ll, [N]one, [r]ename: ^C\n" + "Wielomian 1 stopnia, MSE = 383.05506630630464\n", + "Wielomian 2 stopnia, MSE = 394.48126522686164\n", + "Wielomian 3 stopnia, MSE = 392.8631214454169\n" ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "!unzip archive.zip" + "for n in range(1, 4):\n", + " plot_and_mse(data_marks, data_marks_test, n) " ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 149, "metadata": {}, "outputs": [ { @@ -746,54 +610,54 @@ " \n", " \n", " \n", - " 309\n", - " 41\n", - " female\n", - " 33.060\n", - " 2\n", - " no\n", + " 238\n", + " 19\n", + " male\n", + " 29.070\n", + " 0\n", + " yes\n", " northwest\n", - " 7749.15640\n", + " 17352.68030\n", " \n", " \n", - " 696\n", - " 53\n", - " female\n", - " 32.300\n", - " 2\n", + " 809\n", + " 25\n", + " male\n", + " 25.840\n", + " 1\n", " no\n", " northeast\n", - " 29186.48236\n", + " 3309.79260\n", " \n", " \n", - " 261\n", - " 20\n", - " female\n", - " 26.840\n", - " 1\n", + " 1053\n", + " 47\n", + " male\n", + " 29.800\n", + " 3\n", " yes\n", - " southeast\n", - " 17085.26760\n", + " southwest\n", + " 25309.48900\n", " \n", " \n", - " 937\n", - " 39\n", + " 1177\n", + " 40\n", " female\n", - " 24.225\n", - " 5\n", + " 27.400\n", + " 1\n", + " no\n", + " southwest\n", + " 6496.88600\n", + " \n", + " \n", + " 964\n", + " 52\n", + " male\n", + " 36.765\n", + " 2\n", " no\n", " northwest\n", - " 8965.79575\n", - " \n", - " \n", - " 891\n", - " 36\n", - " female\n", - " 29.040\n", - " 4\n", - " no\n", - " southeast\n", - " 7243.81360\n", + " 26467.09737\n", " \n", " \n", " ...\n", @@ -806,54 +670,54 @@ " ...\n", " \n", " \n", - " 584\n", - " 19\n", + " 374\n", + " 20\n", " male\n", - " 20.700\n", + " 33.330\n", " 0\n", " no\n", - " southwest\n", - " 1242.81600\n", - " \n", - " \n", - " 1066\n", - " 48\n", - " male\n", - " 37.290\n", - " 2\n", - " no\n", " southeast\n", - " 8978.18510\n", + " 1391.52870\n", " \n", " \n", - " 1025\n", - " 21\n", - " female\n", - " 34.600\n", - " 0\n", - " no\n", - " southwest\n", - " 2020.17700\n", - " \n", - " \n", - " 831\n", - " 36\n", - " female\n", - " 25.840\n", - " 0\n", - " no\n", - " northwest\n", - " 5266.36560\n", - " \n", - " \n", - " 49\n", - " 36\n", + " 950\n", + " 57\n", " male\n", - " 35.200\n", + " 18.335\n", + " 0\n", + " no\n", + " northeast\n", + " 11534.87265\n", + " \n", + " \n", + " 954\n", + " 34\n", + " male\n", + " 27.835\n", " 1\n", " yes\n", + " northwest\n", + " 20009.63365\n", + " \n", + " \n", + " 521\n", + " 32\n", + " female\n", + " 44.220\n", + " 0\n", + " no\n", " southeast\n", - " 38709.17600\n", + " 3994.17780\n", + " \n", + " \n", + " 963\n", + " 46\n", + " male\n", + " 24.795\n", + " 3\n", + " no\n", + " northeast\n", + " 9500.57305\n", " \n", " \n", "\n", @@ -862,22 +726,22 @@ ], "text/plain": [ " age sex bmi children smoker region charges\n", - "309 41 female 33.060 2 no northwest 7749.15640\n", - "696 53 female 32.300 2 no northeast 29186.48236\n", - "261 20 female 26.840 1 yes southeast 17085.26760\n", - "937 39 female 24.225 5 no northwest 8965.79575\n", - "891 36 female 29.040 4 no southeast 7243.81360\n", + "238 19 male 29.070 0 yes northwest 17352.68030\n", + "809 25 male 25.840 1 no northeast 3309.79260\n", + "1053 47 male 29.800 3 yes southwest 25309.48900\n", + "1177 40 female 27.400 1 no southwest 6496.88600\n", + "964 52 male 36.765 2 no northwest 26467.09737\n", "... ... ... ... ... ... ... ...\n", - "584 19 male 20.700 0 no southwest 1242.81600\n", - "1066 48 male 37.290 2 no southeast 8978.18510\n", - "1025 21 female 34.600 0 no southwest 2020.17700\n", - "831 36 female 25.840 0 no northwest 5266.36560\n", - "49 36 male 35.200 1 yes southeast 38709.17600\n", + "374 20 male 33.330 0 no southeast 1391.52870\n", + "950 57 male 18.335 0 no northeast 11534.87265\n", + "954 34 male 27.835 1 yes northwest 20009.63365\n", + "521 32 female 44.220 0 no southeast 3994.17780\n", + "963 46 male 24.795 3 no northeast 9500.57305\n", "\n", "[1338 rows x 7 columns]" ] }, - "execution_count": 14, + "execution_count": 149, "metadata": {}, "output_type": "execute_result" } @@ -890,47 +754,58 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 150, + "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": 151, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[33.06 41. ]\n", - " [32.3 53. ]\n", - " [26.84 20. ]\n", - " ...\n", - " [34.6 21. ]\n", - " [25.84 36. ]\n", - " [35.2 36. ]]\n" + "Wielomian 1 stopnia, MSE = 146688971.1828306\n", + "Wielomian 2 stopnia, MSE = 146881616.236919\n", + "Wielomian 3 stopnia, MSE = 146891792.9142127\n" ] - } - ], - "source": [ - "data_ins = data_ins[['bmi', 'age']]\n", - "data_ins = np.matrix(data_ins).astype(float)\n", - "print(data_ins)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", 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\n", 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" ] @@ -942,77 +817,8 @@ } ], "source": [ - "n = 1 # Wielomaian pierwszego stopnia\n", - "\n", - "x, y = get_poly_data(np.array(data_ins), n)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "29.735 1.0\n" - ] - }, - { - "ename": "NameError", - "evalue": "name 'a' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/tmp/ipykernel_6535/4031094360.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mindex\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m10\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata_ins\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m \u001b[0ma\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;31mNameError\u001b[0m: name 'a' is not defined" - ] - } - ], - "source": [ - "n = 1 # Wielomaian pierwszego stopnia\n", - "\n", - "x, y = get_poly_data(np.array(data_ins), n)\n", - "model = polynomial_regression(x, y, n)\n", - "\n", - "index = 10\n", - "print(data_ins.item(index), x.item(index))\n", - "a([x.item(index)])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "n = 2 # Wielomian 2 stopnia\n", - "x, y = get_poly_data(np.array(data_ins), n)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "n = 3 # Wielomian 3 stopnia\n", - "x, y = get_poly_data(np.array(data_ins), n)\n", - "fig = plot_data(x, y, xlabel='x', ylabel='y')\n", - "plot_fun(fig, polynomial_regression(x, y, n), x)" + "for n in range(1, 4):\n", + " plot_and_mse(data_ins_train, data_ins_test, n) " ] } ], diff --git a/archive(1)/Student_Marks.csv b/Student_Marks.csv similarity index 100% rename from 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