From 33c8095ad0bb5aa712b87fa7b2ba51cf944fda1c Mon Sep 17 00:00:00 2001 From: Anna Nowak Date: Mon, 28 Jun 2021 11:21:19 +0200 Subject: [PATCH] ploty --- Polynomial Regression.ipynb | 367 ++++++++++-------------------------- 1 file changed, 103 insertions(+), 264 deletions(-) diff --git a/Polynomial Regression.ipynb b/Polynomial Regression.ipynb index 49a4d21..4ba8b82 100644 --- a/Polynomial Regression.ipynb +++ b/Polynomial Regression.ipynb @@ -42,7 +42,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -63,19 +63,20 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Stopień wielomianu\n", "degree = 4\n", + "plot_degree = 1\n", "X_plot = np.linspace(0, 100, 1000)\n", "initial_theta = np.matrix([0] * (degree + 1)).reshape(degree + 1, 1)" ] }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -122,7 +123,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -179,7 +180,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -206,7 +207,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -244,7 +245,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 7, "metadata": { "scrolled": true }, @@ -267,7 +268,7 @@ "\n", "# BGD z momentum\n", "def momentum(X, Y, theta, cost_function = mean_squared_error, \n", - " learning_rate=0.1, momentum = 0.3, epochs=30):\n", + " learning_rate=0.1, momentum = 0.3, epochs=30, degree=degree):\n", " cost = cost_function(theta, X, Y)\n", " logs = [[cost, theta]]\n", " delta_history = [np.matrix([0]*(degree+1)).T]\n", @@ -322,38 +323,11 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": null, "metadata": { "scrolled": true }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "SGD:\n", - "f(x) = 16.32876722693443x^0 + 34.45307103302153x^1 + 45.94300992401012x^2 + 52.620176422095824x^3 + 55.84736037491846^4\n", - "600001 updates\n", - "\n", - "BGD:\n", - "f(x) = -65.64506277392503x^0 + 68.77648241255996x^1 + 114.75349304333463x^2 + 102.20675310280693x^3 + 52.80014652046723^4\n", - "82705 updates\n", - "\n", - "MBGD:\n", - "f(x) = -43.73372717859179x^0 + 44.52908852914625x^1 + 88.75625965596099x^2 + 102.68565372634689x^3 + 96.42646314762048^4\n", - "37501 updates\n", - "\n", - "momentum:\n", - "f(x) = 46.73334506478952x^0 + 46.04136957395274x^1 + 44.48349874963421x^2 + 42.3749456478724x^3 + 39.943624482130815^4\n", - "61 updates\n", - "\n", - "steepest descent:\n", - "f(x) = 13.638648831593645x^0 + 39.092493619820296x^1 + 55.99541645170152x^2 + 66.58927282539155x^3 + 72.5680972400324^4\n", - "61 updates\n", - "\n" - ] - } - ], + "outputs": [], "source": [ "final_theta_SGD, logs_3 = SGD(X, Y, initial_theta, epochs = 60)\n", "print(\"SGD:\")\n", @@ -399,167 +373,11 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": null, "metadata": { "scrolled": false }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "BGD:\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Metoda najszybszego spadku:\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "def plot_polynomial_regression(theta):\n", " fig = plt.figure(figsize=(10,5))\n", @@ -608,37 +426,38 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ - "degree = 1\n", - "initial_theta = np.matrix([0] * (degree + 1)).reshape(degree + 1, 1)\n", + "initial_theta_plot = np.matrix([0] * (plot_degree + 1)).reshape(plot_degree + 1, 1)\n", "m, n_plus_1 = data_matrix.shape\n", "n = n_plus_1 - 1\n", - "X = (np.ones((m, 1)))\n", + "X_plot = (np.ones((m, 1)))\n", "\n", - "for i in range(1, degree + 1):\n", + "for i in range(1, plot_degree + 1):\n", " Xn = np.power(data_matrix[:, 0:n], i)\n", " Xn /= np.amax(Xn, axis=0)\n", - " X = np.concatenate((X, Xn), axis=1)\n", + " X_plot = np.concatenate((X_plot, Xn), axis=1)\n", "\n", - "X = np.matrix(X).reshape(m, degree * n + 1)\n", - "Y = np.matrix(data_matrix[:, -1])\n", + "X_plot = np.matrix(X_plot).reshape(m, plot_degree * n + 1)\n", + "Y_plot = np.matrix(data_matrix[:, -1])\n", "\n", "\n", - "steepest_descent_deg_2, logs_deg_2 = steepest_descent(X, Y, initial_theta, epochs = 60)\n", - "\n" + "steepest_descent_deg_2, logs_deg_2 = steepest_descent(X_plot, Y_plot, initial_theta_plot, epochs = 60)\n", + "momentum_deg_2, logs_momentum_2 = momentum(X_plot, Y_plot, initial_theta_plot, epochs = 60, degree=1)" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ "cost_history = [row[0] for row in logs_deg_2]\n", "all_thetas = [row[1] for row in logs_deg_2]\n", + "\n", + "\n", "theta0_history = [row[0].item() for row in all_thetas]\n", "theta1_history = [row[1].item() for row in all_thetas]\n", "\n", @@ -649,7 +468,24 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "cost_history_momentum = [row[0] for row in logs_momentum_2]\n", + "all_thetas_momentum = [row[1] for row in logs_momentum_2]\n", + "\n", + "theta0_history_momentum = [row[0].item() for row in all_thetas_momentum]\n", + "theta1_history_momentum = [row[1].item() for row in all_thetas_momentum]\n", + "\n", + "cost_history_momentum = np.array(cost_history_momentum)\n", + "theta0_history_momentum = np.array(theta0_history_momentum)\n", + "theta1_history_momentum = np.array(theta1_history_momentum)" + ] + }, + { + "cell_type": "code", + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -670,6 +506,42 @@ " c2=0" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "theta0_vals_momentum = theta0_history_momentum\n", + "theta1_vals_momentum = theta1_history_momentum\n", + "J_vals = np.zeros((len(theta0_vals_momentum), len(theta1_vals_momentum)))\n", + "\n", + "c1=0\n", + "c2=0\n", + "pom = 0\n", + "for i in theta0_vals_momentum:\n", + " for j in theta1_vals_momentum:\n", + " t = np.array([i, j])\n", + " J_vals[c1][c2] = cost_history_momentum[pom]\n", + " c2=c2+1\n", + " c1=c1+1\n", + " pom += 1\n", + " c2=0" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.express as px\n", + "fig = px.line_3d(x=theta0_vals, y=theta1_vals, z=[x[0] for x in J_vals])\n", + "fig.show()\n", + "fig2 = px.line_3d(x=theta0_vals_momentum, y=theta1_vals_momentum, z=[x[0] for x in J_vals])\n", + "fig2.show()" + ] + }, { "cell_type": "code", "execution_count": null, @@ -685,6 +557,21 @@ "fig.show()" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.graph_objects as go\n", + "\n", + "fig = go.Figure(data=[go.Surface(x=theta0_vals_momentum, y=theta1_vals_momentum, z=J_vals)])\n", + "fig.update_layout(title='Loss function for different thetas', autosize=True,\n", + " width=600, height=600, xaxis_title='theta0', \n", + " yaxis_title='theta1')\n", + "fig.show()" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -694,7 +581,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -705,21 +592,9 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Pipeline(steps=[('polynomialfeatures', PolynomialFeatures(degree=4)),\n", - " ('linearregression', LinearRegression())])" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "model = make_pipeline(PolynomialFeatures(degree=degree, include_bias=True), \n", " LinearRegression())\n", @@ -728,39 +603,16 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "4" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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yWL067GgkgZmm9H9oofSt8M8noOc6eHMP+M0QmtRuornUjqKFrr4aCgrgxx/dxt1r1oQdUSiUgImId1JT4cAD3bGWIduUSHmE3Im5TeoWHymP7NBby0t/fR6OWwpf7Qy/PAc2p8V3vc6Znev9ntpRtIAxMGUKHHoofPllmy3KVwImIt5SQ9Y2p2ZBfV3d4mPJmZlgSP1jKhfMuMC3WEZ+AGPfhU2pruj+m53ju15WehZ3Dr6TnOycOr+vdhQtlJkJTz0FXbrAnDmuYWsbE+d/F4iI1HLooe517txw45DA1FVQX3N5rnBm4bbvV9tq3+LYfyVMfsYd/2YIvLNHfNfrnNmZOwffSUFeAbD9zwEuOSseWBzfIG1Zr17w6KMwaBBMmADHHAMDB4YdVWA0AyYi3sqPVjtr25E2o75luKVrlwbytCNA1maY/gS03wL/OBAeODT+a1Zurdx2XJBXQMnQEnKyczAYcrJzKBlasi05kxY65RS46aaftitasSLsiAJjbAJsGZKfn2/L9I+1SOuwZQt07AgbN7ri2l13DTsi8VnuxNw6n2rMyc5h6dqlvtZ7AWBh6lNw4Ucwvyv0vxQq4ux0H5OTncPicYu9uZjUraoKfv5zePFFOOEEeOEFSEvsBTpjzFxrbVzP1moGTES8lZ7+UzsKLUO2CcUDi8lKz9ruXGx5LogaqV+/55KvH9Nh+HDvki9QkX0gUlMhEoHu3eHll91yZBugBExEvKdlyDal9vJc+/T2VG6p5IIZF/je7+vAb+DuZ93xZafDJ928vb6K7APys5/BY4+5Jq3Fxa4wv5VTAiYi3jv8cPf67rvhxiG+qtl6oqi0iOKBxYzOH82PW370f9kR6LDJ9fvK3Aolh0LkoPiul2K2/5WoIvuAnXgi/OEPrh5s1Cj47ruwI/KVEjAR8Z5mwFq9+lpP3Fd2X2Ax3D0b9lkDH3aHqwbHf73LDrtMRfZhu/FGOP54+OYb+NWvXDLWSjVahG+M6Qn8A/gZUA2UWGvvNMZ0AqYBucBiYIS19vvoZ24Afg1UAVdaa59vaAwV4Yu0MlVVsMsusGEDfPstdPN4XUhCV1/hfVBGzINp06EiDQ67zJtNtlVwnyCWLXMNnX/4ASZNgssvDzuiHQRVhL8VuNZauz9wJDDWGNMXuB4otdb2AUqjXxP93rlAP+BUYJIxJjWeIEUkyaSm/tQPTP9x1SqFWZze6we4P7rJ9jWDvEm+QAX3CaNnT7j/fnd8zTXw8cfhxuOTRhMwa+0Ka+170eP1wCfA7sAZwNTo26YCZ0aPzwAet9ZustYuAhYC/T2OW0QSnZYhW7WwitNTq+CRGbDLJvjXvnC/h5tsq+A+gYwY4Tbr3rjR9QfbtCnsiDzXrBowY0wucAjwNtDdWrsCXJIGxNYYdgeW1fjY8ui52tcqNMaUGWPKvmvlhXYibZIK8Vu1ulpPBOGG1+HYpfB1B7hkGJ5tsq2C+wR0112w117w4YeuNqyVaXICZozpADwJjLPWrmvorXWc26HQzFpbYq3Nt9bmd+3q0fyxiCSOmjNgrbiQtq2KtZ5oaKNqrx25DMa/7I4v/AWsbu/NdTtndlbBfSLaeWfXHyw1Fe64wzVobUWalIAZY9JxyVfEWjsjevpbY0yP6Pd7ACuj55cDPWt8fA/ga2/CFZGksdderhD/m2/gq6/CjkZ8EGTC0mETRJ6ENAu3HQ2le3l47YwOSr4S1RFH/NSY9eKLXWF+K9FoAmaMMcDfgE+stXfU+NbTwKjo8Sjg3zXOn2uM2ckY0xvoA7zjXcgikhSM+WkWTMuQrdbqytWBjHPH87DnD/Dez+D3J3l7bRXfJ7j/+R+XiH31FYwbF3Y0nmnKDNgAYCRwkjHmg+ifIcCfgVOMMQuAU6JfY62dDzwBfAw8B4y11lb5Er2IJLYjjnCvb78dbhyS1AZ/Dpe+BxtTYeRZsNnjbQI7ZXby9oLirbQ0mDoV2rVzr08/HXZEnmjKU5CvW2uNtfZAa+3B0T+zrbWrrbUDrbV9oq9ranym2Fq7l7V2X2vts/7+CCKSsI480r3+97/hxiGei5RH6HJrF9/H2bUCHoj+vv39SfCxWsq1TfvuC//3f+64sBBWBzPz6id1whcR/8RmwN59F7ZuDTcW8UykPMKv/v2rQJYf75kNu22A13vCX4/yZ4w1lWsaf5OE78or4bjjXHPn3/wm7GjipgRMRPzTtSvsvTdUVkJ5edjRiEeKSovYXLXZ93HOng/nz4Mf0+GiM6Hap99Y6v+VJFJS4KGHoH17ePxx+Oc/w44oLkrARMRfsWXIt94KNw6JW2zZMYgtiLqvh8mz3PFvfw5f+NTtQv2/ksyee8Jtt7njyy93s2FJSgmYiPhLdWCtQqQ8woUzLgzmqUcL98+CLpUwZ0+4z8Nu9wAm+n/acDtJjR4Np5zi6sBGj07aPoMeP0siIlKLZsBahauevYpqqgMZ68IP4YzP4Ied4Ndn4Fm3+5j2Ge1Zf8N6by8qwTEG/vY3OOAA+Ne/YNo0OPfcsKNqNs2AiYi/DjwQMjNhwYJW8eRSWxVUv68e6+DO6LPzVw2G5dnej7Fh8wbvLyrB6tkTbr/dHV95JaxaFW48LaAETET8lZ7+U0NW9QOThliY9IzbaHtWH/jHQWEHJAntkkvgxBPhu+/g6qvDjqbZlICJiP+0DJmwIuURcifmkjIhhdyJuUTKI3V+Pwgj5sOZn8HanWD06Xi+9BgT5P6V4iNjoKTENWh95BF4NrnajioBExH/qRA/IUXKIxTOLGTJ2iVYLEvWLqFwZuG2JGzMM2MYOWNkIE89dv4R7p7tjn93Cnzlw9IjQHpKOncOvtOfi0vw9t4b/vhHd3zZZbA+eWr7lICJiP9iCdjbb0OVdiZLFEWlRVRsqdjuXMWWCopKi4iUR7iv7D4swTxhdudz0K0CXsyFKYd5f/3YU48PnfmQnnpsba6+Gg47DJYtgxtvDDuaJjM2AR7fzM/Pt2VlZWGHISJ+ysmBpUvho48gLy/saARImZBSZ4JlMPTK7hXIzBfAaZ/BrMegIg3yxsCXHm/N2DmzM6uuS74ibWmGDz90taZVVfDaazBggK/DGWPmWmvjapCiGTARCcYxx7jX118PNw7Zpr4O8L2ye7F07dJAYui4Ee6LNlz9/UneJ1+AlhzbgoMOguuucz3BLrkENm4MO6JGKQETkWDEErDXXgs3DtmmeGAxWelZ252LdYYPanueW1+APdbDW7vDnUd6f/326e215NhW3HST27T700+hOPF3N1ACJiLBOPZY9/raa0nbubq1KcgroGRoCTnZOTt0hg9ie54TFsFlc2Fzimu46sdej1uqt+zwZKe0Uu3awQMPuOM//9mVOyQw1YCJSDCqq6FLF/j+e1i82NWESULrcmsX3xqwZm2GjybDXt/DTSfC/x7vyzAA5GTnsHjcYv8GkMQydixMmuQe/nnjDbeJt8dUAyYiySMl5afCWC1DJgU/a6f+8LJLvj7sDn8+xrdhAAKrZ5ME8ac/QY8eru/glClhR1MvJWAiEpzYMqQK8RNarPnqyBkjfbn+QSvg6v9ClYFLhsHWVF+G2SaoejZJENnZMHGiO77+evjmm1DDqY8SMBEJjgrxE17t5qxeS6mG+2dBmoV7+kPZ7p4PsZ3YQwXSxgwfDqeeCj/8ANdcE3Y0dVICJiLByc93hbIff6yNuQPU2HZDNdXVnNVLo8vgiK9g+c6u9stvsYcKpI0xxtWBZWbCY4/BnDlhR7QDJWAiEpyMDDjiCHf8xhvhxtJGNLbdUO33+tl8tcc6+FOpO75iCKxv59tQItC7N9x8szseMwYqK8ONpxYlYCISLC1DBqqh7YZqiiVqfpr4HGRvgqf3gX/t5+tQ29T+OaWNufZa6NcPvvjCFecnECVgIhKsmv3AxHf1PQFY+7zfS4+DP4cRH8OGdPjNEMD4NtR29ARkG5eeDvff745vuQU++STceGpQAiYiwTrqKEhNhblzYcOGsKNp9RrabqhmbZifS49Zm2HSM+745hNh2S6+DbUDPQEpDBjgtifasgVGj06YRtBKwEQkWB07wmGHwdatakcRgPq2GxrSZ4ivTzvWdPMrkLsW3v8Z3HWEr0NtJyM1Q09AinPLLdC1K7z6Kvz972FHAygBE5EwnHSSe33ppXDjaAPq225o9oLZvi45xuR9A9e+CdXAZadDlU89vwb2HkjnzM7bvu6c2ZkHz3hQT0CK06kT3HGHO/7d72DVqnDjQVsRiUgY5syBQYNcW4p33w07mjYpZUKK7zNfphreeBCOWg5394crh3g/RqpJpfCwQiadNsn7i0vrYi2ccgqUlsLFF8ODD7b4UtqKSESS04ABrjj2vfdco0QJRM2arxTj/z//hXNd8vXVzvD7k7y7bopJ4ZGzHsGOt2y9eauSL2maWG+wjAx46KHQW+EoAROR4LVv7/qBVVe7mgzxXe1+YFW2ytfxfrYe/vwfd3zVqbDOw55f1lotLUrL7LOPW4IE1xts69bQQlECJiLhODHaBl11YIHwu81EbX99DnbZBLP6wJN9vb22nmyUuNx4I+TkwEcfwb33hhaGEjARCYcK8QMVZD+sQQvg3Pnwow89vwxGTzZKfLKy4K673PFNN8GKFaGEoQRMRMJx5JGw007w4YcJ8URSaxfUrFFmjZ5ffzgBluzq7fUtWn4UDwwbBqefDuvXw29/G0oISsBEJBzt2rlifIBXXgk3ljZgSB8fHkGsw02vwp4/wIfdYeKR3l8/JzvH+4tK23TXXe7foUcfDWUmXgmYiIQnVgf24ovhxtEGzF4w2/cx+n0Lv63R82urDz2/lq9dTpdbu5AyIYXcibl1biou0iS9e7t6MICxY2Hz5kCHVwImIuEZONC9vvBCuHG0AX5uNQSu59f9syC9GiYfDm/39GecKqpYXbkai2XJ2iUUzixUEiYt97vfwd57uz0iJ04MdGglYCISnsMPh+xsWLAAFi0KO5pWo2a/r9gsUarxqQV91CXvwYBlsKID3DjQ16G2U7GlgqLSouAGlNalXTu45x53PGECLFsW2NBKwEQkPGlpcPLJ7vj558ONpZWo3e8rNkvkZ9+vbhvgFp96fjVFkE94Sis0aBD88pdQUQFXXx3YsErARCRcgwa5VyVgnqir35ff/b/ueB523Qiz94Z/9vN1qDqpL5jE7a9/dQ2in3wysH+LlICJSLhiCVhpKWzZEm4srUDQs0GnLISCcqhIg7Gn4WnPr6bISs9SXzCJX8+ecPPN7viKK2DTJt+HVAImIuHq1Qv228/143nrrbCjSXpBzga12wKToz2/JpwAiz3u+dWYnOwcSoaWqC+YeGPcONh/f1eTetttvg+nBExEwqdlyLjULLrfsHkD6Snp233fRP/Pa0Wvwl7fQ3k3uOMozy/fIINh8bjFSr7EOxkZbrNugOJi3x8MUgImIuFTAtZitYvuYy0aarJYUoy3/9z3XQnXveGOC4f60/OrIar7El+ccAKcfz5s3AhXXeXrUErARCR8xx/vtiWaO1fbEjVTXUX3W6u37vA+L5+CNNVw3yzIqIb7DoO3fOr5VR/VfYmvbr8dOnaEmTPdH58oAROR8GVlwbHHgrVqytpEsWVHvxus1uXiD+DYpfBNe7jh5GDGjC2hqu5LfNejB/zxj+74yitdewofKAETkcRw6qnu9Zlnwo0jCdRcdgxa1w1w2xx3PO5U+CHT/zFzsnN4+KyHseOt6r4kGGPHwkEHweLF8H//58sQSsBEJDGcfrp7nT0btu64hCY/qWvZMSh/mQOdNsLze8G0A/wdq316e18eHhBpVFoa3HuvO771Vvj8c8+HaDQBM8Y8aIxZaYyZV+PcH4wxXxljPoj+GVLjezcYYxYaYz4zxgzyPGIRaZ323Rf22Qe+/x7eeCPsaBJaWJ3fT/4CRn4ElWlweQA9v37c8qP2fJTwDBgAF13kNum+4gpXIuGhpsyA/R04tY7zf7XWHhz9MxvAGNMXOBfoF/3MJGN83oBMRFqPoUPdq4+Fr61BGE8AttsCk2e54wnHw6JOwY6vPR8lFLfcArvsAnPmuC75Hmo0AbPWvgqsaeL1zgAet9ZustYuAhYC/eOIT0TakmHD3KsSsAYVDywmKz0r0DF//yrsHe359ZejAx16G+35KIHr1u2nGrBx42DDBs8uHU8N2G+MMR9Flyhj/Y93B2puJb48ek5EpHFHHw277urqLT77LOxoElZBXgElQ0vIyc7BYOic2dnX8WI9v6oJp+dXjHp/SSguvRTy8+Grr356OtIDLU3AJgN7AQcDK4C/RM/XVRFQ56KpMabQGFNmjCn77rvvWhiGiLQqaWkwJFpSqlmwJuuQ0YEOGR18ubaphpKZkF4N9+UH0/MrLSVth27+6v0loUlNhcmTwRi3aff8+Z5ctkUJmLX2W2ttlbW2GpjCT8uMy4Gafz33AL6u5xol1tp8a21+165dWxKGiLRGWoZsVO3u90vWLqFisz9PRV7yHgxYBis6wI0DfRliBwbDJYdesm2GT72/JHT5+XDZZe4J7bFjPbmksU2o6jfG5AKzrLUHRL/uYa1dET2+GjjCWnuuMaYf8CguIdsNKAX6WNtwC+b8/HxbVlYW1w8iIq3E2rXQpYt74mjlSugUcLV3EgiqAWv39fDpPbDLJhg+HKb3833IbXKyc1g8bnFwA4o0Zs0a97T2qlUYmGutzY/nck1pQ/EY8F9gX2PMcmPMr4FbjTHlxpiPgBOBqwGstfOBJ4CPgeeAsY0lXyIi28nOdvuxVVVpFqweQRWj//V5l3w90wem9w1kyG1UcC8Jp1Mn1xPMI015CvI8a20Pa226tXYPa+3frLUjrbV51toDrbXDYrNh0fcXW2v3stbua6191rNIRaTtOOss9zp9erhxJKggitEHLYDz5sGP6TB2CL73/KpNBfeSkEaNcg8LeUCd8EUk8Zx1lit4nTPHLUnKdupqQ5Gekk5GaoYn18/cDJOjO0KNPwGW7Nrg2+NW+2dRwb0krJQUmDTJm0t5chURES917w7HHec6UGsZsk6ZaT9twtg5szMPnfkQe++6tyfXvvkV6P0DfNAdJh7pySUbVLOlhgruJeEddJAnl0nz5CoiIl4bPhxeecUtQ15wQdjRJIzYE5A194Ks3FrJn179Ex+v+jju6+d9A79986eeX1U+9/zqkNGBgrwCJVzS5mgGTEQSU2wZ8rnnYN26sKNJGFc9e9UOG3FXbKnwJPlKqYYpMyHNwr394d094r5ko+47/T7/BxFJQErARCQx9egBxxwDmzbBrFlhRxOqSHmE3Im5mAmG1ZWrfRvnyrfhiK9gWUcoOsm3YbajmS9pq5SAiUjiGj7cvbbhpyFrNl31U+81UFzqjkefDuvb+TocgG/d+0WSgRIwEUlcsXYUzz4L69eHG0tIikqLdlhy9Jx1S49ZW+GRPJi9j7/DxeyUulMwA4kkICVgIpK4dt8djj0WNm6EJ58MO5pQBNGQ9NfvwcBF8F0WjDvV9+G2WVO5JrjBRBKMEjARSWwjR7rXhx8ON46Q+N2QdLd18Jc57viKwbC6va/DbUfNVqUtUwImIolt+HDYaSd46SVYvjzsaAJXPLAY41cbeguTnoHsTfD0PjDtAH+GqYvBqNmqtGlKwEQkse2yCwwd6jbnjkTCjiZwBXkFWKwv1x4+H874DNbuBGNOI7DthgyG0fmj9QSktGlKwEQk8dVchrT+JCOJLCc7x/NrdqqAe2a749+dAl9lez7EDmKd7h8+62EmnebNdi4iyUqd8EUk8Z16KnTuDPPnwwcfwCGHhB2RryLlEYpKi1i6dim9snuxd6e9PW9DMfE56FYBL+XCA4d6eul6VY+vDmYgkSSgGTARSXwZGXDuue64lRfj1+z7ZbEsWbuE0kWlno5xxicw8iOoTINLh4LVbwKRwOmvnYgkh9gyZCTiNulupfzu+9X5R7g/urHA9SfDF519G2o7KUa/bkRq0t8IEUkO/ftDv36wciU8/XTY0fjG175fFiY/A91/hJdz4O7+/g1VW7XV8qNITUrARCQ5GAOXXeaO778/3Fh81Cmzk2/XPmceDP8Y1mfAxWcGu/Tox4MEIslMCZiIJI+RI6FdO/jPf2DhwrCjSSo/Ww/3Rp96vPbnsHjX4MbOSs9Szy+RWpSAiUjy2GUXOOccdzxlSqiheCVSHqHLrV0wEwxmgmF15WrvB7FQMhM6V8Jze8GUw7wfoj4GQ8nQEvX8EqlFCZiIJJfYMuRDDyV9MX6kPMLF/7rYn6SrhlEfwNDP4Yed4JJhBNZwNUbJl8iOlICJSHI58kjIy4PvvoOnngo7mrgUlRaxpXqLr2Pkfg93PeuOrxgSTMPVmvzq4i+S7JSAiUhyqVmMf8894cYSJ1+feARSqyDyJHTcDE/uD48c6OtwdcdgUoMfVCQJKAETkeRz4YXQsSO8/jq8+27Y0bRYr+xe9X7Pi6cGf/8qHL0clu/sGq4GvfQIcELuCcEPKpIElICJSPLZeWcoLHTHd9wRbixxKB5YTHpKep3fi3froaOXwk2vQjUw8iz4Piuuy7XYwjV6WlWkLkrARCQ5XXklpKbCP/8JS/1dyvNLQV4BD535EJ0zvW1H33GjW3pMtXDbAHi5t6eXbxa/l1lFkpUSMBFJTj17wogRUFUFd90VdjQtVpBXwKrrVmHHW8+alU56BnLXQlkPuOlETy7ZYg0ts4q0ZUrARCR5XXONe50yBdatCzeWOEXKI3EvOwKM/AAKyuHHdCj4JWxJiz+2llIDVpH6KQETkeSVnw/HHeeSr5KSsKNpsUh5hMKZhXFfp+9Kt9cjwJWD4fMucV+yyVJNKo+c9Qg52TkYDDnZOWrAKtIAY234PVry8/NtWVlZ2GGISDKaPRtOOw26dYNFiyArpGrzOOROzI179qv9JnhnCvRdBVMPgovOJPCnHu348H+fiATBGDPXWpsfzzU0AyYiyW3wYDcTtnJl0m7SHXehuoX7Zrnka35XGHMagSdf6vcl0jxKwEQkuRkD48e741tugYqKcONpgXgL1S95Dy6I1n2dPQIqMjwKrBkKD4t/CVWkLVECJiLJ77TT4LDD4Ntvk2YWLFIeIXdiLikTUtiweUOLr3PI13D3bHd82enwaVePAqxH7ZmuVJPK5fmXM+m0Sf4OLNLKqAZMRFqHWbNg6FDo0gW++MJ1yk9QsaL7ii3xzdZ12wBlJdBzHZQcCpcN8yjARmSlZ6nAXto01YCJiMScdhoccwysWgW33hp2NA0qKi2KO/lK3wrTn3DJ15t7uI22g1KxpYKi0qLgBhRphZSAiUjrYAzcdps7vuMO+OqrcONpgBfd4e98Do5dCl/tDL88BzYH3O9LHe5F4qMETERajyOPhLPPhspKuPnmsKOpV7xF95e9C5eXwcZU+MU58M3OHgXWDJ0yO22rYcudmEukPBJ8ECJJTAmYiLQuf/oTpKXBQw/BO++EHU2digcWk5Xesn5lJ34Jdz/rjguHwrt7eBhYE6WnpLN+83qWrF2CxbJk7RIKZxYqCRNpBiVgItK69OkD114L1sLo0W6vyIDVfMKxrtmhgrwCSoaWNHsT7n7fwlPTIL0abj8KHj7Yw6AbkGpS6ZzZeVuH+447dWRz1ebt3qO6MJHmUQImIq3PTTdBr17w/vsweXKgQ8eecKxvdiiWnF0w4wLWVK5p8nV3WwfPRiB7E0zfH647xa+fYEdTfzGVVdetonp8NYvHLa43btWFiTSdEjARaX3at4e77nLHRUWBFuTX9YRjbHaoZnIGYGlaG6CdN8LsiHvi8Y2eMPIssAH9652TnbNDu4n6atjirW0TaUuUgIlI6zRsmPuzbh38+tduSTIA9c0CLV27tEXtJzI3w78fh4O+hc86w7DzYGO6F5E2Lis9i+KBxTucr6uGrb73ikjdlICJSOtkDNx3H3TqBM8/H1iH/PpmgVJMSrM33M7YCjOmwYmL4esOMLgA1vi813j79Pbbar3qa7Yaq2HLyc5p9L0iUjd1wheR1u2JJ+CccyArCz74wBXp+8irLvdpVfDEP+EXn8J3WXD8RfBJN29irEuKSWHXdruypnINvbJ7UTywWAmVSD3UCV9EpDEjRsB557lNus8+2/fNugvyChh10Ki4rpFWBf94yiVf37eDU0b6m3wBVNtqVleuVlsJkYAoAROR1m/yZDfz9dFHMGaM7/VgsxfMbvFnM7bCP5+A8+bB+gw49QL4sIeHwTWR2kqI+KvRBMwY86AxZqUxZl6Nc52MMS8YYxZEX3et8b0bjDELjTGfGWMG+RW4iEiTZWfDk09CZiZMnep7a4qWtmPI3AxPPwZnfuZmvk6+EN4JodFqTM2fo7HeZiLSPE2ZAfs7cGqtc9cDpdbaPkBp9GuMMX2Bc4F+0c9MMsakehatiEhL5eXBlCnu+IorYOZM34ZqSTuGrhug9B8w6Av4tr2r+Qoz+YKffo7GepuJSPM1moBZa18FanfdOwOYGj2eCpxZ4/zj1tpN1tpFwEKgvzehiojEqaAAxo+H6mpXmP/WW74M09ythvZfCW8/AEcthyXZcNzFUP4zX0JrspptJRrqbSYiLdPSGrDu1toVANHXWHno7sCyGu9bHj0nIpIYxo93fcEqK2HwYHj7bc+HqKtNQ33bDg3+HN78G/T+Ad7eHY64BD7v4nlIjUpLSdtuu6GabSUa6m0mIi2T5vH1TB3n6qx2NcYUAoUAvXqpe7KIBCTWH+z772HGDDjlFHjmGTj2WE+HKcgr2K6Nw5hnxjC57Kfas7Qq+H8vwvVvuK+n7w8X/gIqMzwNo8n+fubf62070Su7V509zNT5XqTlWjoD9q0xpgdA9HVl9PxyoGeN9+0BfF3XBay1JdbafGttfteuXVsYhohIC6SlwbRprj3F+vXw85/DY4/5Nlzt5Kv3Gnhxqku+thq4fiCMGB5e8lXXdkM1qfO9iPdamoA9DcQa3YwC/l3j/LnGmJ2MMb2BPsA78YUoIuKDtDR4+GEoLISNG+H88+G662DrVk+HiZRHuK/sPgBSquGaN2HeJDh2qetuf9IouOXY4PZ2NLUWKpqSSKnzvYj3Gu2Eb4x5DDgB6AJ8C4wH/gU8AfQClgLDrbVrou8vAn4FbAXGWWufbSwIdcIXkdBYC/feC+PGQVUVHHooPPQQHHhg3JeOlEcY9dQoqmwVxy+C2+dA/gr3vUcPgKsGw6r2cQ/TZDnZORQPLKaotIila5eq471IC3nRCV9bEYmIALzyClx4ISxdCunpMHYs3HADdGtZC/pIeYTCpy/l0C8queE1GLLQnV/WEUafDrP38TD2JjAYHj7r4W3JVqQ8okRMpIW0FZGIiFeOPx7mzYPLL4ctW2DiROjdG666yu0h2RwrV/LJH6/k5UmVvPaQS77WZcDvT4T9fhN88gUwOn/0dsmX+nqJhEszYCIitX3wAdx88/bNWvffH044AY4+GvbcE3bfHVJT3bLlihWwZAnMnQuvvw7vvOPO4zbSnpwPdx8R7HJjTOfMztw5+M7tZrdyJ+bW+VRjTnYOi8ctDjA6keSkJUgRET+9/z48+CBEIq5tRVOlpfFin3Qe2q+S6X1hY7p/IdYnKz2r3kL5lAkp2Do6BBkM1eOrgwhPJKl5kYB53QdMRKT1OOQQuPtu+Mtf4N13XZ3Ye+/BsmXw9deuo35KCnTtCrm5bpbsmGPg6KNZsXQWj0UL8INW16xXTerrJRI+JWAiIo3JyIABA9yfemwran/n/+j1WS+G9BkSSvIFULm1ssHvFw8spnBm4XbbC6mvl0iwVIQvIhKnuoraazZeDVpj+zSqr5dI+FQDJiISp/qK2v3UIaMDGzZvqPf7qucS8Y/aUIiIJIAwNqVuKPkC1XOJJDolYCIicUq0ZEf1XCKJTwmYiEicigcW77DHYlhSTarquUSSgBIwEZE4FeQVMDp/dEIkYdW2WsmXSBJQAiYi4oFJp03i4bMeDjuMhFsOFZG6KQETEfFIQV4BOdk5nl+3c2bn7VpGXJ5/OR0yOtT53iF9hng+voh4T41YRUQ8VFeT03hkpWfV2dV+9oLZdT4JOXvBbE/GFRF/aQZMRMRDsSannTM7x32thhqk1tf6IoyWGCLSfErARETiFCmPkDsxl5QJKeROzAWod4mwpnap7epN1HKyc1g8bnGD+zk257yIJBYlYCIicahrG6LY141JSUlhRL8RZKVnbXe+KX28igcWt+hzIpIYlICJiMShqLRoh3qvii0VpJrURj9bsaWC2Qtmb9uXEVwfr9hejpHySL2f1X6OIslNRfgiInGor+aqylZhMFga3m936dql25KmmsX7sZk0oN6kqiCvQAmXSJLSDJiISBzqq7nKyc5pNPmq+fn6ZtKKSoviD1JEEo4SMBGRODRUi9VYT7CaNVt6qlGkbVECJiISh4ZqsepKzmLbFdWu2dJTjSJti7G28Slyv+Xn59uysrKwwxAR8VykPEJRaRFL1y6lV3YvigcWU5BXsMP5IX2GMPXDqdstQ2alZ6mwXiQBGWPmWmvz47qGEjARkZapL7lqyudqd8vPSs9i1EGjmL1gdrOvJyLB8iIB01OQIiItUDuJaspTizH1FdzPXjCbxeMW+xKviCQW1YCJiLRAPE8tquBeRJSAiYi0QENJVO2tiWo3VFXBvYgoARMRaYH6kqVOmZ3q3JqoZhKmbYRERAmYiEgL1JdEAY0uTWobIRFREb6ISAvEkqXaT0GOnDGyzvfXXrLUNkIibZtmwEREmilW4xVLth4+62EWj1tMQV6B6rtEpEmUgImINEOs/UR9NV6q7xKRplACJiLSDI21n1B9l4g0hWrARESaoSk9vFTfJSKN0QyYiEgzqMZLRLygBExEpBlU4yUiXlACJiLSDKrxEhEvGGtt2DGQn59vy8rKwg5DREREpFHGmLnW2vx4rqEZMBEREZGAKQETERERCZgSMBEREZGAKQETERERCZgSMBEREZGAKQETERERCZgSMBEREZGAKQETERERCVhcm3EbYxYD64EqYKu1Nt8Y0wmYBuQCi4ER1trv4wtTREREpPXwYgbsRGvtwTU6wl4PlFpr+wCl0a9FREREJMqPJcgzgKnR46nAmT6MISIiIpK04k3ALDDHGDPXGFMYPdfdWrsCIPrara4PGmMKjTFlxpiy7777Ls4wRERERJJHXDVgwABr7dfGmG7AC8aYT5v6QWttCVACbjPuOOMQERERSRpxzYBZa7+Ovq4EngL6A98aY3oARF9XxhukiIiISGvS4gTMGNPeGLNz7Bj4OTAPeBoYFX3bKODf8QYpIiIi0prEswTZHXjKGBO7zqPW2ueMMe8CTxhjfg0sBYbHH6aIiIhI69HiBMxa+yVwUB3nVwMD4wlKREREpDVTJ3wRERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgCkBExEREQmYEjARERGRgPmWgBljTjXGfGaMWWiMud6vcURERESSjS8JmDEmFbgXGAz0Bc4zxvT1YywRERGRZOPXDFh/YKG19ktr7WbgceAMn8YSERERSSp+JWC7A8tqfL08ek5ERESkzUvz6bqmjnN2uzcYUwgURr/cZIyZ51Ms4r8uwKqwg5AW0/1LXrp3yU33L3ntG+8F/ErAlgM9a3y9B/B1zTdYa0uAEgBjTJm1Nt+nWMRnun/JTfcveeneJTfdv+RljCmL9xp+LUG+C/QxxvQ2xmQA5wJP+zSWiIiISFLxZQbMWrvVGPMb4HkgFXjQWjvfj7FEREREko1fS5BYa2cDs5v49hK/4pBA6P4lN92/5KV7l9x0/5JX3PfOWGsbf5eIiIiIeEZbEYmIiIgELPQETFsWJQ9jTE9jzEvGmE+MMfONMVdFz3cyxrxgjFkQfd017FilfsaYVGPM+8aYWdGvdf+SgDFmF2PMdGPMp9G/g0fp3iUPY8zV0X835xljHjPGtNP9S1zGmAeNMStrtshq6H4ZY26I5jGfGWMGNWWMUBMwbVmUdLYC11pr9weOBMZG79f1QKm1tg9QGv1aEtdVwCc1vtb9Sw53As9Za/cDDsLdQ927JGCM2R24Esi31h6AezjtXHT/EtnfgVNrnavzfkV/D54L9It+ZlI0v2lQ2DNg2rIoiVhrV1hr34ser8f9Atgdd8+mRt82FTgzlAClUcaYPYDTgAdqnNb9S3DGmI7AccDfAKy1m621P6B7l0zSgExjTBqQheuNqfuXoKy1rwJrap2u736dATxurd1krV0ELMTlNw0KOwHTlkVJyhiTCxwCvA10t9auAJekAd1CDE0aNhG4DqiucU73L/HtCXwHPBRdPn7AGNMe3bukYK39CrgdWAqsANZaa+eg+5ds6rtfLcplwk7AGt2ySBKPMaYD8CQwzlq7Lux4pGmMMacDK621c8OORZotDTgUmGytPQT4ES1XJY1ordAZQG9gN6C9MeaCcKMSD7Uolwk7AWt0yyJJLMaYdFzyFbHWzoie/tYY0yP6/R7AyrDikwYNAIYZYxbjlvtPMsY8gu5fMlgOLLfWvh39ejouIdO9Sw4nA4ustd9Za7cAM4Cj0f1LNvXdrxblMmEnYNqyKIkYYwyuBuUTa+0dNb71NDAqejwK+HfQsUnjrLU3WGv3sNbm4v6uvWitvQDdv4Rnrf0GWGaMiW0APBD4GN27ZLEUONIYkxX9d3QgroZW9y+51He/ngbONcbsZIzpDfQB3mnsYqE3YjXGDMHVpcS2LCoONSCplzHmGOA1oJyfaohuxNWBPQH0wv1DM9xaW7t4URKIMeYE4LfW2tONMZ3R/Ut4xpiDcQ9PZABfAhfj/iNa9y4JGGMmAOfgniZ/H7gE6IDuX0IyxjwGnAB0Ab4FxgP/op77ZYwpAn6Fu7/jrLXPNjpG2AmYiIiISFsT9hKkiIiISJujBExEREQkYErARERERAKmBExEREQkYErARERERAKmBExEREQkYErARERERAKmBExEREQkYP8fp4LEGHVSp64AAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "Y_plot_2 = model.predict([[x] for x in X_plot])\n", "\n", "fig = plt.figure(figsize=(10,5))\n", "chart = fig.add_subplot()\n", "chart.plot(data[\"Height\"], Y ,\"go\")\n", - "chart.plot(X_plot, Y_plot_2, color=\"red\", lw=2, label=f\"degree {degree}\")\n", + "chart.plot(X_plot, Y_plot_2, color=`\"red\", lw=2, label=f\"degree {degree}\")\n", "plt.ylim([0,250])\n", "plt.xlim([0,100])\n", "degree" @@ -768,22 +620,9 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "polyfit_theta = np.polyfit(data[\"Height\"]/data[\"Height\"].max(), Y, degree)\n", "plot_polynomial_regression(polyfit_theta)" @@ -806,7 +645,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.8.5" } }, "nbformat": 4,