{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "path_data = '../../data/'\n", "\n", "import numpy as np\n", "import pandas as pd\n", "from scipy import stats\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.style.use('fivethirtyeight')\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The Regression Line\n", "The correlation coefficient $r$ doesn't just measure how clustered the points in a scatter plot are about a straight line. It also helps identify the straight line about which the points are clustered. In this section we will retrace the path that Galton and Pearson took to discover that line.\n", "\n", "Galton's data on the heights of parents and their adult children showed a linear association. The linearity was confirmed when our predictions of the children's heights based on the midparent heights roughly followed a straight line." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "galton = pd.read_csv(path_data + 'galton.csv')\n", "\n", "heights = pd.DataFrame(\n", " {'MidParent':galton['midparentHeight'],\n", " 'Child':galton['childHeight']}\n", " )" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def predict_child(mpht):\n", " \"\"\"Return a prediction of the height of a child \n", " whose parents have a midparent height of mpht.\n", " \n", " The prediction is the average height of the children \n", " whose midparent height is in the range mpht plus or minus 0.5 inches.\n", " \"\"\"\n", " \n", " close_points = heights[(heights['MidParent'] >= mpht-0.5) & (heights['MidParent'] < mpht+0.5)]\n", " return close_points['Child'].mean()\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MidParentChildPrediction
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" ], "text/plain": [ " MidParent Child Prediction\n", "0 75.43 73.2 70.100000\n", "1 75.43 69.2 70.100000\n", "2 75.43 69.0 70.100000\n", "3 75.43 69.0 70.100000\n", "4 73.66 73.5 70.415789\n", ".. ... ... ...\n", "929 66.64 64.0 65.156579\n", "930 66.64 62.0 65.156579\n", "931 66.64 61.0 65.156579\n", "932 65.27 66.5 64.229630\n", "933 65.27 57.0 64.229630\n", "\n", "[934 rows x 3 columns]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights_with_predictions = heights.copy()\n", "\n", "heights_with_predictions['Prediction'] = heights['MidParent'].map(predict_child)\n", "\n", "heights_with_predictions" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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I36LOKiGEEEII8VuCndW+ffsiKirK4d/9998PAMjPz3f47O677/Z4xQkhhBBCSPsnOGZ1z549MBgMlp8rKiqQk5ODCRMmWJbl5ORgzZo1lp+Dg4OlrSUhpN2QIoWpP6ZBtSa2fv5+HIQQ4g8EO6udO3e2+fm9995DRESETWdVpVJBq9VKXjlCSPsiRQpTf0+DKrZ+/n4chBDiL5was8owDN577z1MmTIFYWE3JsY+fPgwevbsiQEDBmDOnDmorq6WvKKEkMAnRQpTf0+DKrZ+/n4chBDiL5yaumrPnj3Q6XT4wx/+YFl29913Y+zYsUhJSUFpaSkKCwsxbtw47N27FyqVirOs4uJip5YT51A7SofaUjolJZc5ll8R3c5SlOFJYuvnznH4w3G2F9SW7klLS/N1FUgH4FRn9Z133kH//v2RkZFhWTZp0iTL/+/duzf69euHvn374osvvsC4ceM4y2K7wIuLi+nClwC1o3SoLaVTXFyM7t074+jR6w6fde8eK7qdu3e/6HYZniS2fq4eB12T0qG2JCQwiB4GUF1djc8++wwPP/ww73oJCQlITExESUmJ25UjhLQvUqQw9fc0qGLr5+/HQQgh/kL0k9UPP/wQKpUKEydO5F3vypUrKC8vp4ArQogDKVKY+nsaVLH18/fjIIQQfyGqs8owDN59911MnDgRERERluV1dXVYsmQJxo0bB61Wi9LSUrzwwgvQaDTIzc31WKUJIYFLihSm/p4GVWz9/P04CCHEH4jqrO7fvx/nzp3DW2+9ZbNcoVDg5MmT+Ne//oXr169Dq9UiOzsbb7/9tk2nlhBCCCGEEFeI6qzeeeedqKmpcVgeGhqKLVu2SF0nQgjxKZqsnxBC/IdTswEQQkh7R5P1E0KIf3EqKQAhhLR3NFk/IYT4F3qySggB4Pqrb2++Mjfvq6REj+rqRsTFhVqme5Jqn+XlDazLKypsl3e0oQL+fLz+XDdCiPuos0oIcfnVtzdfmbPtq7S0DkVF1ZLuMyEhjHV5fPyN5R1tqIA/H68/140QIg0aBkAIcfnVtzdfmbPtyxP7FDNZf0cbKuDPx+vPdSOESIOerBJCRL/6lmo7V3DtS+p9ipms35vH7Q/8+Xj9uW6EEGlQZ5UQIurVt5TbuYJrX57Yp9Bk/d48bn/gz8frz3UjhEiDhgEQ4kU6nR55ebuRm7sDeXm7odOxv9b2Nlfz1Hszvz3bvjy9T2fq4u06eJO/Hq9Op0ddXQtCQhQ2y/2hboQQ6dCTVUK8xJ8DQVzNU+/N/PbW+zp/Xo+qqkZotWHo1i3C69Hf3jxuf+CPx8t2P4WEKDBsWBcsXnx7uz0XhHRE1FklxEv4AkH8IT+8q3nqvZnf3pv7EuJPdfEGfztetvupqckAtTqIOqqEtDM0DIAQL6FAEEKkQ/cTIR0HPVklxEsoEISY0ST27tHp9CgtrWX9jO4nW3StkfaAOquEeElBQSaKiqptXl1SIEjH489jlwOBuf1KS+scPqP7yRZda6S9oM4qIXasn0SEhxvw0kta1i92V55YpKd3Ql1dCwBg4MA4jwSC+NuTlBspUi+je/eLGDkyGfPnH8Lly80AAI0mFG+/PQxZWYkO25SXNyAiQonGxjb89NM1ANK0m5g2ElrH1Xb21NhlT513b6S4dQZXcgiFQobq6gaMHbsTq1YNtbmeOip/HydPiFjUWSXECtuTiDNnPnd4EuHsEwu29U+dqvFK/X35JMW+PkePXsfGjeds1qmqasS4cZ/h009HIysrkfUYrH32WSmOH7+CnTtzXTomMW0ktI477VxSwp2Fy1WeOu/eSnHrDK72MxgY1NW1oa6uDuPHf4Zt20Z3+A4rjesl7QUFWBFiRWzqRmdTPHorJaS/pZ7kS5FqzWBgkJ+/T/Q2ZWX1Lh+TmDYSWseddq6ubmRdXlXFvlwMT513b6W4dQZX+1lra7txPXVkNE6etBfUWSXEitgnEc4+sfDWEw5/e5IilCLV2vXrzU5t4+oxiWkjoXXcaee4uFDW5Vqt6x0IT513b6W4dQZX+9kzX08dmb8mcyDEWdRZJcSK2CcRzj6x8NYTDq79HD1ajeTkDcjI+AgHD16SdJ+u1IdNp04qp7Zxte3EnAuhddw5n1xZuLp1ixDclounri9vprgVi6v97Jmvp47MnMxh8uQeyM5OwOTJPSi4igQk6qwSYkXskwhnn1h46wkHV0rShoY26PWtKC01jefzVoeVL0WqNYVChlWrhoreJilJ7XLbiTkXQuu4cz49cS146vrypxS3ZlOnpkOplPGuo1TeuJ46OnMyh+3bc7F27TDqqJKAJKupqWF8XQmz4uJipKWl+boaAY/a0T3m6OeKigao1Qa89NJdvLMBiE0/6ez6UtT/6NFqNDS0OayTmBiGkyd/L/m++epTUnIF3bvHYsAADZ599lu0tpo+j40NwbvvDmedDaCiogHh4Z6bDYDvXAit4875dGdbrvvbU9eXuVxfp7g1y8vb7RCkB5j+4AkLUyI6WiV6NgD6riQkMFBntR2idpROoLdlcvIG6PWtDstlMuDYsSle7WwUFxcjOFjrEF2emhpJryadEOjXpLtyc3fgwIFy1s+cvZY6elsSEihoGAAh7VhUFPu4PYaBTyK5/W22AhJ4+MbR0rVESPtEnVVC2jG+cXu+iOT2t9kKSOARGtNM1xIh7Q91Vglpx7KyEjF0aDzrZ76I5KZ5H4m7zBHuycnhrJ/TtURI+0OdVULauTffHOo3cy3SvI9ECikpkdi+fQxdS4R0EJRulfhdLnlfs26P8HADXnpJy9oeBw9eQn7+PtTUNCMq6kYEMld7si0HYLNswAANXnihCM3NbVCplFi+PBuTJvXkraO5rKKiKsyevd+y7d/+lomjR6tRXt6Am2+OQnp6J9TVtSE+PgxTp6Y7bF9WVsd6PHz75LpOuI41JSUSK1ZkY+rUr3H5smnS9vr6VpSV1XFG47Ptzz5CXaMJRffukaxtar2d+ZxVVdWjtRUICVEgNjaEM3pcynsj0O8zf6u/+QmrN2bYIIT4Fs0G0A45045sub87cnS22PY4ePASxo//DG1tN24fpVKGNWtyUFh41GH7FSuyMWvWfpvlSUlqAKbUoXzWr7/LpsPKVsfY2GBcudLCW475OAA4bB8fH4aqqgYYjTfWVypllvzqzlwnXOu+9trNSE3thhEjtqGysslmG4VChk8/vZHLnW9/bPU3Y2tT83ZlZXUO54ztWIWOw5V7Q8qyfPE92V6/J+h3DiGBgTqr7ZAz7cg1Z+HkyT2wdu0wqavm98S2R0bGRygtrXNYLyxMyTqvaXJyOOv6YoSFKXHp0iOCdRRj8uQeACB6++TkcBw//qBT1wnXuiNHxiEiIoJz3+Z98ZXhbP2ttztypJL3HFjvX6gOzt4bUpbli+/J9vo9Qb9zCAkMNAygg6PobFti26Omhj3veHOzY0cVcC9PuX2ZQvna+VRUNIBx4s9Tc72duU641q2ubkFdHXfdrduIb3/O1N96O65zxrZ/oTo4K9Dvs0CvPyEksFGAVQdH0dm2xLYH1/ylKhX733/u5Cm3L1MoXzuf+Pgwp7Y319uZ64RrXY0mmHffYWFBgmU4W3/r7bjOmZn9OZLy3gj0+yzQ608ICWzUWe3gxEZn63R65OXtxt13b0VGxkcYPnwr8vJ2Q6dzHDdoXjc3dwfnOv6KrT3UaiXOn9fbHMuqVUMd8pMrlTIsX57N2p6rVjlG5CclqS1jLPksX54tWMfY2GDBcuRyoK6uBVOnpkOtFvdSxTxPqzNR/FzrzpyZioKCTKhU7Hnde/XqJFhGQUEm7zybbG1q3o7tnJmx5ZIXOmZnrvNAnwUh0OtPCAlsNGa1HXK2HcXkQOcKaLEPsmgPgRjWkeY//XQFjY03oo6sj8UcWX79ejM6dXKcDcC+PdmWA7BZ5uxsANZlmWcDYBszay01NRIKBXD2LP8fEWxBT2Ijr9nWbWmpRFpaGu64YxN+/PGawzaZmRp8/fUE3jLsZwO4cKEWlZUNiIsLtek8cW1nPmfV1fVoaRE/GwDbuXT2Onem/fj46ntSqvr7E/qdQ0hgoM5qOyR1OwoF9FgHWbSnQIxAPRYxAVhcgWD27IOO3GG+LrmC06Tcl6f58tqg70npUFsSEhhoGAARJBTQYx1k0Z4CMQL1WITSUQKmIQFiuBMYxiUuLpR1uVYbOOMfA/XaIISQQESdVSJIKKDFOsgikAMx7McgRkYGsa7n7rEcPHgJGRkfITl5AzIyPsLBg5fcKs+eebL0yZN7QKMJYV0nJoZ9uT13AsO4cHWku3WLkHxfnhLI1zkhhAQa6qwSQXxP6uyDLAI1EMM8BnHjxnM4cKAcGzeew/HjVxAfb9tZc/dYzMkESkvroNe3orTUNFG9Jzqsa9cOw9dfjxcd8GWPLehIClOnprMGp02dmi75vjwlUK9zQggJRDTPKhFkndaQLaDFPnjl6tUmhIUp0b17BG6+OcbvAjHY0kaaA6qsmbMgRUUFIyhIjoED47B48e0OwWdCKVStjz8/f59DBqW2Ngb5+fs4x2s6uw/79VesyMaGDact5y4mRoUNG05jxYpsrFhxHEVF1QCA7t07obRUj6tXG9HcbKrX2LE7MXCgFm+9lcNafkSEEjKZDHp9q+gUnCtXnmBtgw0bTrMGOa1efQJPP/2tZX7Vfv1i8c47d4tOYcvXNkL15UqpK5Tq09OpSYWOm+u8cB2P2H34031MCOk4KMCqHfJFO3KlH7VPYelrXFHcMTEqHD1azbutmJkP+NJ9pqREIinpbdTVOQY2RUQE4eLFqaLqy7cPwDEVqTPpXjWaUFRXNzrUQ6MJxddfj2Mt3xpfRHxxcTGCg7XIzPwEra2OXzv2swEApo7q/PnfOqwbE6PCe+/dLeqYhNqGq76uXtOenhFj797j+POfTzmVutf0h+UAzJixV9TxtIdZPcSg3zmEBAbqrLZDvmjHQInw5oriFpsOVczMB3zbJSa+zRqFb59SVai+XPsA2FORupPuVUz59uuxRcQXFxfj5Zcvikq3ahYbuw4GA/tXlDPHxFd3rvq6ek17eqaABx7Yhl27qpzeji8VsP3xBOpMGM6i3zmEBAYaBkAkwZXK0hPR5O7giuLWasOgUMg5nxiaiZn5gG+71NQI/PST4xyj3buzBxc5uw+uVKRSnAexqU75IuL5jodtNgCujirg3DHx1Z2rvq5e056eKaC62rVz6UwqYJrtgBDiTyjAikiCK5WlJ6LJ3cEVxV1Z2YDYWBUUCvYMR2ZiZj7g2+6WW2JYP7/5ZvblzuxDp6vlnMFAivMgNtUpX0Q83/ZsswHwnQ9njomv7lz1dfWa9vRMARqNa+fSmVTANNsBIcSfUGeVSIIr/agnosndwRbFrVTKUFpah6Kiat4neWJmPuBL98m1DV8Uudh9AEBpaR2OHq1y6OAplTIsXDjQoRy2uVZjYtg7QnK5KYpfaA5XoYj4goJM1ronJalZt1u0aBBrOTExKtEpbPnStPLV19Vr2tMzBcycmep06t7U1EgsX54t+nhotgNCiD+hMavtkCfaUUxkMFv60aSkcL+LKLZOG6nT1bKOSwwLU4JhDGhuZhAaquRMySkmhSpb+loxaSvN7XnlSiMYRoaePSPRq1c0Cgoy8fnnOpsIeSFhYabUrbt2laKiogFnz9agvNwxkGrUqK64erUFR45UOnxmHq9oXf/wcFPUeW1tK+exbN58FrNn70dTUxtCQpR4/PE+eP/9M7h8uQlyuQy33x6PN97I5rwufv/7Xdi586Ll58TEMHz++VjWFLZTp6Zj6dL/4vDhChiNDDp3DsG6dcOcThlrXu/kyas4f74WCoUM4eFK9OoVjbY2RvBa5rsu3L0XiouLUVWl5rzX+M6L+VwIpfN1pa18eY+7Wgf6nUNIYKDOajskdTu6GhkcCBHFubk7cOBAucPygQPjcPlyk8/qzheJXlHRgEcf3eN0mebtk5LCMWjQJjQ1GRzWyc5OAMOAtU2ysxOwfXuuU/vcvPmsYF352pVrNoAlSwZj5sy+Nst0Oj3GjNnhEBGflKTGzp25os+bK7M8uFKmq9cT22wAvroffXWPqyp/j2DjTsgAMMYby2UygGGAf30+CH1+u1GwDvQ7h5DAQMMAiCC2OUjPnzc9yfDEdt7EN4bVl3Xnm4919uz9LpVp3r6wsIi1owq4NraTj5i68rXrggVHRC8vLCxinbqprKzeqfPGNeeufdnOXA9S3gurV5/3m/vRF/e4qvL3UBl3Qg5ABtMQFfM/mcz03wdHH0H5fx/yWB0IId5FswEQQa5GBvtrRLH9pPZJSWqHJ2YxMSrW4QHeqjtfJDpXVDcgPN/m9evNnOclJERheV1dVFTt8LTMlfGKfHW1xtauOp2ecwwx23K+mQacOW+uzPLgapmuXE9cswH44n70xT1ufqLKRyYDfjvwG9R6rBaEEG8SfLLat29fREVFOfy7//77AQAMw2Dx4sVIT09HfHw8xowZg1OnTnm84sR7XH3S5o8RxfZpVT//3DQWcvToZGRnJ2Dy5B7YunUUundnf33orbrzRaJzRXUrFDLs3JmLnTtzERbGHfnNdV6GDeuClJRIS3amyZN72LSJK691uepqz75dzeeJC9ssAXwzDThz3lyZ5UGIQsHe6ZbLnR+FxTUbgC/uR1/c40IdVct6YlckhPg9wc7qnj17cObMGcu/ffv2QSaTYcKECQCAN954AytXrsRLL72E3bt3Q6PR4N5770VtLf1N2164GhnsjxHFXK941eogbN+ei7VrhyElJdLndeeLRF++PJt1G3NK1JSUSGzceA/n9lzHtnjx7ZafU1IisXbtMJs2cQVXXe33bd+ubOfJGtssAc7ONMDFlVkehBQXsx8L13I+bLMB+Op+9MV9IrZ7Lzb4sL1T6lcjojwWkeVRiCiPhVK/2tdVIsRpgo89OnfubPPze++9h4iICEyYMAEMw2DVqlV44oknMH78eADAqlWrkJaWhk2bNuGRRxwz8hDfcjVqNj29E+rqWgCYgo8WL75dcDuu/OllZXUYO3Ynb35yKSOMrcs6c8ZxQn7A8bVlSkokZsy4xSa4p1Mn2zlMdTo95szZh2+/rYLBwCAuLhRr196FrKxE1vqXldVh2rTdqK5ugkLBHgVvvV1WlhbFxXrU17ciOFgOmUyOBx/8ElFRKkyZ0gOffHLO8gu5a1c1du0qRWZmHABgw4bT6NUryhLJHhqqBMMYLdsvXDgQu3aV4sKFWlRWNiAmRoWnnz4MhmFQXHwdZ8/adqK6dlWjb99YMAyDX36px9mzeshkDGJjQwXPX79+sfjf/66AYUxPRO+7rzu2bDmH1lbTuhcv1mLu3P02bcH3Kj4jIwo7duhw9Gg1pk5Nx4YNpy3tvGZNDlauPIHvvzdleMrM1GDJkiFOXTvW1+2pU1dRXHwdFRUNkMmAuLhQJCeHWzpkQrMBmOvFlUigvr5VdL3MunQJZb2vrOtinknC/h4T2s5ZXPe4J4OrWuRjoDLs5H1yyjBAS/AUj9UhUCj1qxFWP9/yNFoGA8Lq56MBQFvkTF9WjRCnODUbAMMw6NevH0aMGIGlS5fiwoUL6NevH3bv3o3+/ftb1rv//vsRExOD1aud+wuOIjOlwdWOrkTuSh3tKybfupT7ZCuLjX0aSa4odo0mFF9/PQ4AMGLENlRWNtl8rlDI8NZbOSgsPGqzz/j4MNZxfPHxYfjiixvTMLEdN1tOdy5sY1bj48NQVdUAo1XUtFIpw5o1jvV0hZjzJ4Z1W3Cl+1SrlaivvzEOVqmU2bSLlJHoBw9ewtixO23azb6ebNiO376eZq6kIxb6nhRzjwUynU6PkgNjMS7nf5bofzOZ3PTktUU5Bc2aNYJltfffORHlsZDDMZjSCAVqE674oEaEuMap2QD27NkDnU6HP/zhDwCAykrTXIwajcZmPY1Gg6oq53NXE89yJXJX6mhfvih3T+xT6HUywP7akiuKvbq6EYWFRSgsLHLoqAKmwJ/Zs/c77JMr4KSiosFyXFzHPXv2flEdVYA9ar2iosGhw9XWxl5PV4g5f2JYtwXb62X7jqp539akjETPz9/n0G729WTDdvxtbYzDk0BPJc0Qc48FssLCItz7+ENQ9F4K+S1Loeht+vfAc1ugT6hBbUKNqI5qRyBj6ajyLSfEXzk1G8A777yD/v37IyMjw2a5zO5bmGEYh2X2iouLnVpOnMPWjiUll1nXLSm5wtnurmzD5+pVx4nozcvN5Um5T66yYmKCkJqqhkYTjJkzU9HSUoni4hsT4Tc1cUexl5RcAd/IOb5t2Xz++QU88MA2XLzI3qF1tjyxpCxXzPkTw/ocv/bazVi9+jyqq1ug0QTj4sUG/PST4wwNfGW4g+taFdoH1/GnpalRW9uG2to2REQosXBhOuLi6l2qK982Yu6xQCb1d1J7aBMu/cPkkMkd/+JijHLJjrs9P5km/kN0Z7W6uhqfffYZli1bZlmm1WoBAFVVVUhKSrIsv3z5ssPTVntsF3h7fyXjLVzt2L37RRw9ep1leSxnu7uyDZ+YmCLU1Tl2OGJiQi3lSblPrrKGD0+2ee1vLyTkABoa2Dtz3bvHAgBruaZtlZzbsqmrM2DXriqo1ey3o7PliSVluWLOnxjW5zgtDcjJufGHcV7eblGdVVevTXtc16rQPriO/9Zb43mvObGEvifF3GOBTMrvh/b+O6dR/3ebMauA6c/sxoi/I61L+z1u0v6IHgbw4YcfQqVSYeLEiZZlKSkp0Gq12LPnxti+pqYmHD58GIMGsef0Jr7jSuSu1NG+QvnWdTo96upaEBxsu46zEd1mbBHiYsriimLXaEIteea12hCHzxUKGZYvz3ZoMzFT+dTXtyEkxPaW1GpDWHO68wkNte30xseHQW53pyuV7PV0hVwOdO8eidzcHcjL242pU9NdKtc6LSkbtmvRvl2kikTX6fRITQ2XrJ7+MpNEe8A1W0NdXYvlGtTp3B/e0h60Rc5Eg3oJjFCAgWmsaoN6CQVXkYAjKsCKYRhkZmYiKysLb775ps1nr7/+Ol555RWsXLkSPXv2xLJly3Do0CF8//33iIiIcKoy7f2vXG/ha0ex+b7d3YaPOVLZOq+5OYKeKzDH2ZSZ1nW3T8EptqzNm88iP38PWltNczYOHKi1TA9lLltoNgDrNisqqsL06XtgcGK4mEIhw6efjgYAmzZ77LE+WLjwOzQ3O77iy8zUIDU10mEGBq42N9czIiIIDMPg5Mmr0OnYkwrExKiQlKTG2bN6yOUMIiKCwTAymzG5qamRWLEiGxs2nLYpt6qqFt27x2LkyGTMn3/IMrl9UJAMWVkJDjMjsLFvV/NsAFJGonNdh8HBcgwZ4jiDg5h6ShkhL+Z7kuseay/sr9vjx6+4lAqXfucQEhhEdVa/+eYbjBs3Dv/5z38wYMAAm88YhsGSJUuwYcMG1NTUYMCAAVi2bBluueUWpytDXxzSCNR25IoAN7OP2HenTLFlSdmWQsfHhSti3N1j48JXT/uynalDoFyXnmpXqQRKO3qLO+eL2pKQwCBqzOqdd96Jmpoa1s9kMhmefvppPP3001LWi3RAQmkuXUnh6E8pX4WOz34aHjOuOTpNT2ulSYsqpp7W6ViF1vV1Sl13tMdjas/ofBHS/jk1dRUhniSU5lJsCkedTo+8vN3Izd2B0lL2TGo6Xa3Xx7dxHZ9GE4LJk3sgPj6U9fNOndjTa6akmF63JyeHo1OnICQnh2PFCuFX1IBtG9m3AVc977or0aFsf0ypK4Yrx+/uMfHtM1DJ2nQIq74HkeUxiCyPRkS5For6zV6tQ6Beg97SHq870vE4NXUVIZ7E9qTQTOwTQzETsiuVMpSW1qG01BQxXVRULdlE8ny4noSa9801mTtXYIxOp8esWfstx3H9eitmzdoveCxsbWTdBlz1XLJkiOhj8mVKXSGuHr87xyS0z0Aka9Mh/PLdkDPVN5ahGWr9o6gHYFBP8ko9AvEa9Jb2eN2RjsmpDFaeRuOHpGHdjlKmLRVi3tf583pUVTVCowlFXFwIZDIZ9PpWUfs3l3Hq1FWUlJhShUZHCweImLfbu/cXVFc7TtYfFqZEUJAMra0M63RN1uPbrNssPNyAl166i7XOOp0e8+cfQlGR6Ze1dRpatnYHgPnzD+HQoUrU1rZALpdBownBunXDLMfGFhiTlBSOp58+bJNC9L77emL27P2sxxIdHYyIiGDExYXa/NI216e0tNbSwbU2enQy1OoglJc3QKFgLKlehQJ0hIJ5zJ9fvdqImJhQTJnSE6+/fsySbhUwpTF9++1hNtt54trV6fQYO3Yn6/GzXQPnz+vxyy91aG42QqGQiU41bI9rXKVGE4KcnC5OHZszAVZ8KY3dFXotD8FNG1k/MyIMtQmXJN2fNftrw9VAu/b+O8ffx18TIhZ1VtshcztKnSqVj9gUm2L272y9XU3vaS07OwHbt+eK3jfbLAOAaaaBNWtyMGuWbXYotjSoZnypMLn24wy+fVsLCVGgqYl9qgKu9hdqL7anxVzMMx9wzQzh7rUrdJ2YrwHr9bnOsbMzU+Tm7sCBA+WcnztzbP6SblV9ORfK1gOsnzFQQO+hdJ5SXhvt/XdOVtYm/PTTNYflffpE48CB+3xQI0JcQ2NW2zGpU6U6uy82YvbvbL1dTe9pzTy+Tey+CwuLWDt/ZWX1yM/f51AGWxpUM75UmFz7cQbfvq1xdVQB7vYXai+21J9cDIYb7eCJa1foOrEf48h3jp2th9B4bKnTxHoj3apRkcD5GQP2cdZS8Ob3WqA7f559zH5JCftyQvwVdVbbMW9GyQpFujuzf2fr7cy+2Vi/Khe7b759ckXv8+Haxt1jEyskRCG4Dlv7C7VXTY1zbWFuB09cu3xtyTbGkW99Z+vBNpG9u2Vy4WpzZ69LpX41IspjEVkehYjyWCj1q20+b4oogFHmmKmQAdAQudypfTmDov/Fs08GYqZQiE8yQog/oM5qO+bNKFmhJ0fO7N/Zejuzb7Pk5HBkZydg8uQeNq8Pxe6bb5+trc6PrOGK+Hfl2MQKC1NaZhEYNIg/PTLA3v5c9YuICEJe3m40NzuRAQE32sET1y5XmcnJ4ayvkPna3tl6WM/cEBTE3lGQ6r6MinK8llK6XMHbiz6A+nIuQq/lQdam4y1DqV+NsPr5kMMAGQA5DAirn4+I8qhfO6/RUNa+j7rOX6NVOQgM5GAggxEq1Eeu92hwFUX/ixcT45hlDwCioz335JsQT6Axq+0QjVnl52xZzoxZVShkMBgcbylPj1lVKGTo3FmFykrH4DK2fdvPkCA0rtWZMatix8iyWb/+Lkya1NNrY1aFrgWpxqwKXaNSjFlV1G9GmH42YGxCfaMSjzxzHzZ/eRtSulzB1+vfQs+Uq5Z1GQAMZGgKmYfW6AUOZUWUx0IO/j80GACNIU+ybu9JNGZVPG+NXybE06izGkDERkezzQbgibSPXPW7cKEWlZUNiIsLhUZjmg2gqqoRVVWNNhHqfPVwNl2k9XHK5baR7AsXDsSuXaWoqGhAeLgSjY1tlqADtuhu67LUavGzAQQFyXHpkuOryOTkcGzfPgaAabzdsWPVKCmpBcMwCAlRYvnybEya1JP32NhmA3j++e8dZg2wno1Bqw1Dt24RDulWuWZEMM8GYN2Gen0zjEYZevaMRK9e0aznzf4aq6trweefX3QoX6mUITFRjSlTemLZsmOsCRCso5StZxGwr4O5LZ2dKcDZ6+rgwUuYNm03Ll9uglwuw+23i0u3ak/q2QBSghcjVrnFkkiiti0TkcFFsH5myzDA5Cd+hwl3n8JDY//LWhZXhzOyPApiXhQbIUNtgmMAj6dJlU62I/zOae+pd0nHQJ3VAOHM0wR/a0cpnpRK8UTYlSdlzrTl8OFbcfRotcPyzEwNvv56gqUO3nrabSb2ybO5nnzri6krV+T7gAFR+M9/JkOn06N//49hYHlwZ45S5qsD25Nbbz2xd/VccbXJ5AkKvP/aYcgN5TAqEtAUUQBGmcJb1uWfJqN79FeQWfUmGQY2P5vV1gfj+x+7Ytgg7jS/bB1OMU9WAVNnV59QI7ielOjJKiEdD41ZDRCBHAErRXS/FMcqZXQ3m+rqRtblVVU3lvviPIqdLcFcT771xdSVO1NXsKV8to4qcCNKma8ObLMbeGuWCVfPFVubpHS5gjfnvYTgpo1Qth5AcNNGqK9OEBxPmhr1lUPHlK2jCgAhqlZcquLvwMng+LyiUb2IZakjRtTzV2kF8nchIcQ11FkNEIEcAStVdL+7xypldDebuDj2dKla7Y2OSkkJewfMk+dR7IwC5noKrS9UV7bI99TUSMycmSpYvjlK2ZVZELw1y4Qr54qtTV5/ZjfiYyttlikM5xFSW8hbFlfHlE1TcxAK3rgHFy5xB9CxdTjbImeiQb0ErW1gHa5h2g5oCpknvjISCeTvQkKIa6izGiACOQJWquh+d49VyuhuNlxTE3XrFgHA9Pry9Gn28X2ePI9iZxQw11NofaG6pqSYXslOntzDZsaFLl1CBcs3Rym7MguCt2aZcOVcsbXJ3Tns04XJDRW8ZXF2HhnHn19+bxp+M+Q3aOz8b7Sgl8PTUr4OZ1vkTPz+hS2Y/MTvUFsfjNY2wGg0lWs0+ia4Cgjs70JCiGtozGqAoDGr/j9mVajeXEE2arUShw5N8uqYVfvZAKzr6e6YVS7Ws1SMGLHNYeYCoQxWZv4yZjX4ypNQtayFDL9G18sSYFDdwTnuVFV+L4Kxx7K+EVooUemwXkvIZDRGr+U8Dq4xq/rWTEQEn4QMzWB+HW9q3lcLBqM5YReCri1CSNMyyMDwzgbgapt5A41ZJaTjoc6qHWfzkTuTg9vdXOfWUdcREUFgGAa1tW0OZXmiHV3NNW6u88mTV3H+fC0UChnCw5Xo1SsabW0MZzuImcXAuk5q9Y0yW1paceLENbS0GKBS2Ubb63R6zJmzD99+WwWDgUFcXCjWrr2LNSf9f/9bbXltLyZqX6jeXEE2kZFByMjobJPjXOw1Yn1NKZXAmTPXodc3g2HYo+fN9Ro5MplzNoHy8gbo9Y04caLG8rQuPFyJ7OwELFkyxKE+mzefxezZ+9Hc3ObQ3tb+8pfP8fbbZZYy5XLTEzqzJ5/shwULBlp+ZpsNICkpHAzDoKqqCdXVphkP1Golzpy5hvr6NtH3oNjZMazX75tei8K5XyAi5DJgKIfCeI51xKZBkYpWQycE45hVZzEMKjTYRuv/+l+Z3bb1MVt5g6yKi4vRue1FJEd+apkNoFQ/DtE3vwsAUJWPhIr51qEz2ywzdVjFYrt3o6Md29fd7zVX0GwAhHQs1Fm14uxf7M7MYSfl0wChsqRuR1fn6pNy7lUxdeIjdv5OoTqby3EF15NVa3xPPO252r6uzo2q0YTi66/H2dRl8+azePTRPQ7r2rfTokXfY+nSY7z1tN5ObB212hBcvtxsM7ct37Vp/zS0OTgPLbFLOeujKu+GYNRYOpRih4syduva/8y2fpuiHxpj3hGcDWDv3uP4859PcV7DEb9EsWYuMhqB2i41ouov9um6v8xuQU9WCWnfaMyqFWejTJ3JwS1lBKu3o2FdzTUuNgrdlbo7k3MeAGbP3s9ZJ+v9C9XZXA5g+qWZl7cbubk7kJe3Gzod/7EWFGRCqeTv7tgfk7PR6mzsy2Dbji3C3l51daNDXazbg2/5smXHBOtpvZ3YOlZWNtl0VGc+sB9Nx+ZhVOotv2ZaikLQtUUATB3VkJa1kAO/ZmUCQlrWIqI8CqryHIe6qMoToUKNZX1n4t7t1xXaVgZAYTgh2FEFgNWrz/New1wBWM4EZomdEcJfZreg2QAIad+Uvq6AP3E2ytSZHNxSRrB6OxrW1VzjzkR0O1t3Z3PONze38dZp795foNPpBetsLoft6U5RUTXv052UlEioVHK0tTmXgrSiooH1Vaur7etKpD1bOcCN9rBnv5wrKIhrO2frmNLlCj565R0Mzii36ZTJAIQ2LQWuwfJE1Zq5E6rCMaA8B80JewEA8qaDDq/tPU0mYl5TAKiuZr/2zeeGa85VsecAED8jhC8i82k2AEI6HuqsWnE2yjQqSgW9vtVhOVuedykjWL0dDevMcVpzJqLb2bpz1YmLUinnrVN1dRMmTPgc6emdeMtRqUy3DN/THXMGJjaxsaGor68TXW/ANF6UrWMsVFdr1u0bEeH6bW9/nlQqJWs2LHM7mZnHVgoxb2d9nioPPInO0Tc6YObOmH2njPOJImAKKuJ5Fy8DEIxjMHcD1dcmu9xRNYL9lZXwUAD22QHsaTTs95353Bwrvgm33fSzw5jVY8U3oUcXUbsQPSOELyLzaTYAQjoeGgZghWt+SHOAir1Vq4Y6vNZVKmVYtWqo22VLWU93OXOc1tjqycaVurPViU+/fhrBOp0/r4dMJuOt8/Ll2QBcf7ojVG/7z1JTIyGTyVg7xkJ1tS7Dun1lHL260FD+zpJGE+pwnsztYc9++bx5/QTrab3dooI21BY9CcNPT0ITYwrGkslM/8z/33qZ0CtuGRjBzrIMgKJ+MyLKoyCD8FM6IyJhhDmyHzDIEtASMhkt6Mc6RVQzwizrs33eqF4kuE8AmDkzlff+V6Z+jW9+6G4zzdQ3P3SHMvVrUeUD/PeJ9b68/V3kq30SQnyLAqzsOBst7ExUqrNlu1pPd9qRK7LX1ehbc3nW+eo7d1ZBJpOhtrbVrXawjkJXKuXo10+D06ev4vp1xyeu2dkJ2L4911Knu+/ehurqJtb1Vqy4E4WFRTh2rBrnzrHPBsAVLGWd256rLczR1QADg4FBaKgSQUFyDBwYh8cf74sNG07bnNfHH/+GdRYB67pWVDSgpaUN//vfVTQ3GyCXy5CW1gl9+8Y6nMNffqljzSCVkRGDmpoWXL/eDLkcqKtrs4yhjYlRoVu3SHTvHulwvsTOBpCX9yk2bqxE43+fRHAwHJ78VVxPh/qWbyFvOojwa2MkfQVvhAytrXKogrhftRshbmwqwwCtslQ0abij9lXlIxGMbx2mjjJT6lcjtH4BZDCAgQKN6kVoi5wp6liKi4sRHKzl/S6R4ruG7d7t1i3CI/tyllT79IffOYQQYdRZbYdcbUd/nFORC1ddb745Cp99Vuqwvn0nUmxnk6stpZizU2zkv5i6CtVHzOwJarUS9fVtNtuvWJGNWbP2O31NqCp/j2DjTktnDUbbV/esYyoBNKMfguRXoTA6nkNXMQzQGPokai9tgDammn2dX//xvWpiGNO/dZtzMHj8uz67J+h7UjrUloQEBhoGQCwCKcqWq64Mw4h6Rejuq0SuLE1cHRi2+oqN/BdTV6FzJzR7gn1H1bx9fv4+p68JVeXvoTLutIm6t391z8Y8blRmrOEsWyxzx9JgAD766j60Ri+APnwlWlvlDusZjaZOskxgzCjDAIreSzHjb2P88p4ghJD2igKsiIU/RtlyDUvgqmtdXRu2bh0l+IrQ3Nl051ViSkokbzCVNbHR7WxtLaauQueOa/YEhQKYOLEHSkr0OHrU8akj14wPfNeE+YmqK2QAjPIowCg8JRcXhgEee2EcVv/LNP41OzsBYx4G4lJG4ILuX4i8+jhCg+tQUxuKF9blQd86CAUFmegTnM45VpVhgHUbb7P8TJHnhBDiPdRZJRb+FmXLNz0UX13FdiKd6Wy6S+zMCFxtLVRXoXPHNXtCly7hWLt2GPLydrN2Vjt1UjmMAV46bwv+8shhyModszAJRbwLYQA0dFrFOmbVHCDFNRsAADQ3Aw899Tts/vJGx9K6TeNSRkCnO2p3XZ1DUVE1/rP1JXQLnm07mT9zo6M647nfsZZJCCHEs6izasef0616WkFBJg4frrCZeD00VIGpU9M9UnehtuN6tf3004fBMAxCQhRoaroRMCP2NT7XsdgvHzBAg4KCb9HWthcAEBsbgpdfvh27dpXytoNOZ6rj999XAQAyMzWYNSsDRUXVvJP4q9VKTJ2aLlhPtmMpKdE7vMrXakNw8GA5kpM3ICjI8RW3UinDwoUDkZe3G+fPO26vUMhQVdVgM+3U0nlb8Nc/HbZ0EtnmLXV1ELwpEKkfjCFZqIveibBrYyFjjKYyGeDT3T1x7+wZvNNghYYq0dh44xjs2xTgvq6eKuyBf76+HmH62ZChGQxU2PrdPNz3SITN/qSIPJcq9bL19uZjk+oetd+Hs6mACSFEKhRgZSVQ0q0KcSfAasSIbaistI2S12pDEBSksOnEult3MW03fPhW1qd9wcEytLTc2C4kRIFhw7pg8eLbBevDdR7YAonEYEtlOmbMDodMS0lJaqxZk4OXXz6KffsqBMsDIHi9sB2LWq3ELbfEICxMjgMHKm2yO1lTKGRYtGgQ1qw56bB9YmIYzp7VWzpoWf3P4d2XPoY25hpCQ8CaytOe2Ces1k9LW+T9LJPym3Fdk1z69InG+fO1DoFi1u2Wm7uDc3YF84wRAHcq2SVLBmPmzL6i6sPG3e8CtnSrbKlo3blH3QkIDCS+/p1DCBGHAqysBEq6VU8pLCxi7RRUVjY5dL7crbuYtquubmTd1rqjCgBNTQao1UGifmlynQe2QCIx2FKZsqUtLSurx4YNp3H+PH9CAHN5Yq4XtnXq69vQrVsEzp+v4+yoAoDBwOAf//iRdftffmnAtSOmOU6NJ5/E/vdXo3vSNajDxHVUzYy4EcBkPeen+dV65eUQpP52PuS3LEXEwNccOqrmYxTbUQUAvb6VNVDMut3EDnfhSiX7wgvu3bPufhewpVtlS0Xrzj3qTkAgIYRIjYYBWAmUdKue4myKS3fqLqbt4uJCUVoqLtuT2LpwHaNQ6lix++Zrw4qKBlFpYisqGjhfc4vZl9j9XL/ejH8vX4Nxw87avFq3vOJ3Y/ApA6A2oQbJyRtEZRrjStvqzDWZmhqJ2FgV6zVj3W4FBZkOQzLYXu2LTSXrLHe/C7jSrbpTpj13AgIJIURq9GTViivpVtl4Ot2qpziTHhVwr+5i2k5MdiZn68J1jEKpY8Xum68N4+PDOI/bfj0x1wvfOmL2c2r7PIwfftZmWinrrFCuMr3SHwOA+zzbs0/PaibmmpTJgOTkcKxYkc15zVi3m9hpx7jqxLVcLHe/C7jSrYopU6fTIy9vN3JzdyAvbzd0Ova3Ce4GBBJCiJSos2olUNKtekpBQaZl7JsQd+supu3Y2iwpSe1QR2fqwnUeVq0a6lTnmGvfXG2YlKRGQUGmYLpVc3lirhe+dYT2oy96EvGd29zqlAK2r/jNr/mvtt6DZu0HAMSnxeVK2yrmmmQYoLS0DrNm7cfUqemi7jPz7Arbt+di7dphrENIxKaSdZa73wVs6VbF3BfmcagbN57DgQPl2LjxHCZM+Jy1w8pWR7ZUwP70/UUIab8owMqOs2lF2dZPSgrnjTb3dFpCd9rx4MFLmDZtNy5fboLBwMBodFwnOTkc27ePkWw2AL62ZmszAC63o06nx/z5h1BUZArcGjgwzhKYZb+vG7MBmLa1ng2AL83l/PmHcORIFerrW6FWB2HQoDgsWTLEsp71cQcHyyGTydHQ0AKjUYaePSPRq1e06OO0LkutDkJaWiQMBhnuH/EFZt77ARRyI9oMchQsn4Dvfr4XRqMMH/99BuJj693uqDIAylvm4InCHIc6WkeSt7YacexYNZqbjZYnuOZ0r3I5MHCgFm+9lcN5Dq2vSdM2MrS1GVlTxk6e3AMFBZmi201oFo/Vq09gwYIjMBgYS1CaObjK2Yh+6/UjIpQupxzmSrcK8F8vzqYItr8fzLMBeDOtqqf5w+8cQogw6qxakSJi3x9SlkqZbpWNfdR0oHDl3Fw9/zxSQt4UlcNdihSsYutl3l5deQtSu9QJjjm1jIHlmHJKLMbyXxmaQuahNXoBa73EXEfWuI6Xq01jYlSsM0WIuTbFzuLBdz4B4dkaxByHK98Lrt7fYmdB6Eh8/TuHECIODQOwIkXEfiBE/XNhqzsbfxynpqjfjIjyRESWxyKiPAoR5VGI/PW/qnLTPJvOnhulfjW6qV6DHIZf04YaEFY/367sbpaf+yiTUZj/hujy+drbfjtV+b12+70XMTV90D2pTtSYU/MyGZzvqFq/4m9WToE+oQa1CddYO6pCx8WFq524zhnXTBFirk2xs3jwXS/OXkv+8L0QCOPmCSGEDc0GYEWKiP1AiPrnIiYC2B/HqSnqN0Otf9TSCbPujMkAqFABlKejvHwZ6/b250ZVfi+CscfUsbPv9FmVbyq75sbPcuDB3JN4YMyTliedn+7uiVc/eY51v9btvWDGLjw/+z+Qy02dwoXLh2PiyGJElJc6HJdpv3uQ2Nm9QCh75k6pdXYohgGOnY7GffOWmJ4CdhF+CujsrBJmbB1crrK02jAoFHLBiH42Ymfx4LuXxczWILYsbxE7CwIhhPgb6qxakeLJQyA/veCqe3JyOFJSIvx2nJop4xA3GYBgVOCbtx6C0Qj870w0+qVfs3TGWlqAoMpkNIU+hpD6ZyCHUfTTR4cMTjLb1/Djh5/Fbb3nAHB8zWpu7wUzduHFuf+xbKdQAC/O/Q9r+db7lUn4XoRhgNp6YNrLW7B27TCH8Ypbt4o/787OKmF26tQ16HR6m/1wldWtWwTWrbvLpbHLXKln7WeEcOVe5vrMH74XzLMgeGPcPCGESInGrFqhMau+r7srIstjIQNLtA0HtpzygPt57fn2Z5CFwAgVlLhuSUla25KJU2cq8JveZU5Nti913RgGOP9LCH474w1JzrUrY1bN7IN9PHFNdtQxq8QRtSUhgaFdPFmVKm99Soop7aZ1hPqKFdlOlRWITy+sI6PVaiVychJhMDCWupeV1WHs2J2CkdNsXD03zmzHQAUZxL9O5Xp17omOqnl/SjQBuJGJSQYgMqgIg/pI+yrfGQwDPPbCOKz5OBudO6uwYcONa52v/dmi2vX6Vpv1rO+BiIggMAyDn36qwi+/tIBhGEsn2Z79a/GUlEgUFAzA7Nn70dzchuBgBTSaYDz++DdISAjDyJHJeP7570VfmzqdHhs2nEZiYhguXqwHw5hSzxYWDkJWVqLl2EpKTONi29psEwB06hRkqRfffc4224A3vxek+k4Us5+nnz6M77+vAgBkZmpsZr7wFG8dHyHEPwT8k1Upn1gE6pNFe860o9BTJrFPodi42p7Obmc/ZtWTuJ7K+gPzNGP2Y06t/2vGMMDjL47D6n/dmDNUqw3Bl1+OB8D91JDtM2t8Uf1jxmxDWRl/6lT7J6ts1x8fvmuT74mvUinDmjU5KCw8KvhEWKMJxddfj+OdasvVe0YMofvbW99jpnO6wyHNa1KSGjt35nq0I05PqQnpWAK+s+rs3IHeKsuXnGnHjIyPWNNTJieH4/jxBwU/5+Nqe4rdzjoQynQRyyGDDMyvQwLMy6V6w84wQHMzEBzMMT3Ur//j6c4sW4eZYYDS8mB0G76Id9vk5HAA4ExjO3lyDwDgbH+uz+zXsz+/XOfUGluHg+v648N1bQrVISxMiYYGcalU+a5hd+4ZMYTub299j/G1pye/M6U8PuqsEhIYAn4YgJRRtv4QsettQpHRYiOn2bjanuXlDTbR8dZPB5uv5AEAVC1rHSLzGRjRjLvQnPBvS1lB1xYhtGmpS09d7aPjG5uB8P5LLZ+f+PRF3NJDb/pcBrSgK34pq0P3pGuSdVjtX5UzDPDTuQSkJJQjPOxG3S5WCHdUAdN544pkB4Qj3fm2tV7PHte1oFLJkZHRGd26RbC+yuW6/vhwXZtCsxQ0N4vrqAL817A794wUvPU9xteenvzO7Ijf04R0dAHfWZUyyjYigr05wsMDvpk4CUVGi42cZmN9buw7n03XnmSdp1PWpsM7z/8fUhMuOTy9lMmAkJa1pv/Psj9T1P8eWHcJWqMXANeAkKZlkP36/NV6W66gqpZWOYZNnY6DP/TgPL6+454FYPtE5+m/7cajI57AiKxSlzqs9h3k/UcTkPPHv1g+Hz06Gfv2XUJ9vfiOlTXzeWM7p4Brke5i1uO6T5ubjbh8uQnr1t3F+gqX6/rjw3VtCs1SoFKJf7LK1xbu3DNS8NbMA3zt6clZDvxhZgVCiHcFfFIAd/NsW5Nx9C64lrcHbLnblUoZVq0aKupzPuZzY56aSaG4MXl9aNNSywT3lonuq2dAfXUCuide4g2CEpqmyl5r9ALUJlyDPqEGddE7YZAnw4hOMMiT0aBeAsbubza+jmpUVLDNz/bXWkFBJvL/vgDPvjEcBsONyfRrm7S4XsseVGTGMED1VUDReymC+i5D4rDlNh3V1NRIMAzD2lENDjYFCvExn7dVq4ayrqvVhqCgIJP3nmL7jG09ewUFmUhKCmHdhm9yfLbrjw/ftclXd6VShuXLs3mPzUyjCeX9fnHnnpGClN+JQvtJSlI7LE9KUnt07lZvHR8hxH8EfGfVHJU7eXIPZGcnYPLkHi4HEnA9wamtde7JTiDJykrEtm2jkZwcjk6dgpCcHG4TCGL+PCEhFEFBMqhUctxxRwKSksIFyzafmxfm/Meh82nudMqt/qtq+xgKw3m3jkfoLbUxJAs/NR3AA397GzmP/h2P/PUmHP5lPSqvaqCvD0PlVQ2+OL0KFy/f6lDnvLybsW/fvbzXmvmY/3txOhLuWg7t0OXInfcvnJd/D52qFO98NgFGo21WKPN/t/2nJ7r99lUkJ4fj009H45//HG45LxqNCvX1rfjyy4usx5WRocGnn5rOY3i4AmFhSqSmqhEWpoRarURoqAJhYQpMnfofrFhxHG+9lYO4uFCbuV3T06Msx7BiRbbNNWGeFcP+fhs1qitychKg0YRAownBzTebytDp9MjL243c3B3Iy9sNACgo6AWViv0r59gxx9SpgOn6W7MmB2FhSigUQGioAr/5TWdL+69ffxfntWvPuu59+kQjLEyJiIgb202a1NPh86CgG9vL5cCgQVqH4Cr7Y01KCrepc1iYEmvW5EgSXCUG23fiihXZKCwsstRRp3N+WjG2/ezcmYvRo5Mt53/UqK4eDa4y79d8fBkZMQgLU6Kqqh5jx+7EwYOXPLZfQojvBHyAlZQefHAXPv/csTMwalRXfPTRSB/UiJuqfCSC8a0liKgFg9GcsAuA9O0oNvpWqV+N0PoFkMEABgo0qhehLXImIsujvBOpDziMWbXHdixKpcwmcjs11dRZmzVrv0sRx1zttWJFNmbM2OsQPW3NHEkN8Efd2zMPRWDbt0Ihg8Fge5trtSGQyeQO4/ySktRYsyZH9LGz7c/8tM36OJOS1GhtbUVlZQvnMaxffxcmTeopWL6nZ+hwZp9ij1/KOjt7f7eXWU7sSTHrgq9/5xBCxAn4J6tSCpRhAKrykVDhW9unkvgWqnL3O9Sq8hzLq/nI8iioy1OxZsVOfPrGkzD89CSMJ03//fSNJ21e3Sr1qxFWPx9yGH6tkwFh9fMRXh4l+LTTXQwAI4Q7qgB7jnb7aZHOn9cjP3+fy7ncufLA5+fv4+2oAqYODlfueS7Wr0DZtrPvqAJAZWUTa0BKWVm9U8fOtr+ysnqH4ywrq+ftqALA7Nn7RZUv9jy4ypl9ij1+T9eZjy/a0Bvy8/c53LttbQzy8/f5qEaEEE9pv5FDLgiUYQDmJ6rWZL8udyfeWFWeAxWO2ZStxDW8MTcfCrltoFPvnnq8+8xEtNWvh0E96dcnqo51UjhZByNs/4Iy/yqyDYqSgQFjearcHJyHltilEENs3nquyG3rDh7XxORc+xAbDS426l6hAEaM6AqZTGaZJN+VrFH2uOrJVrbY9hSDLRrfF5HfXPt09/h9Fa3eXqPnfT3rAiHEe0R1VisqKvDcc8/hq6++Ql1dHbp164ZXXnkFd9xxBwAgPz8fH330kc02mZmZ+Prrr6WvsQf5e5SpvOkgwq7n8+aLd0ewXUfVTMnS45TJgJAQgNE/Ckaf71y6U7DXlQHQopwCudIIuaECRkU8miIKIGsrMx238ToYeSc0dFoFY0iW6P1ZE5u3vlMnFa5fd/wjxXwtsL1aLSqqxtatozj3wVUm1z6EaLVhOH36uk0d1Gr3//7kquepU9eg0+ltXh2LbU8xVCrHuvvinuTap7vH76vvEX//XnOVr2ddIIR4j+AwgJqaGtxzzz1gGAaffPIJjhw5gpdffhkajcZmvZycHJw5c8byb+PGjR6rtKcUFGRCq7WNWDZHSEvh4MFLyMj4CMnJG5CR8ZFTwQDypoMIvzYeCmMpZ6fU1dft5gARmQsFmF7587/eZWPEjdf35v82BeehWbMGjdFrUd95Oxqj12LTtlbEd/8ZqltmI2LAc3jnwBZs3KlFYuLbiI1di8TEt7F581mbsvnamS2S2D5yOzU1EqtWDXWIdE5KUmPkyGRkZHyEAQM+4Xy1OnVqukOnkatMewqFDAcOlOPkyasICeG+PZVKGdLSIh3qUF/fJqrDqlKxX0WhoQo89lgf1s/q69vw9NOHbdp3794yBAfblqXVhjjcRyEhCsgFvm2WL8+2+Vmn06OurgUhIbZ/LbkT+W0fDMUWaFRQkMna9vX1bQ6vztmup6QkNWJjbWeNkPJ7xFntNXre17MuEEK8R/C32ptvvon4+HisWbPGsqxbt24O66lUKmi1Wkkr521lZXW4fNn2FdLly80oK6tzOxDBPhhAr2/F+PGfiQ4GMD1R5Z4DkmGAX67eisgE5+ql0+nx1Ycz8dHCz5zb0I75lbyYp7sMgNqEGsH1Nm8+i0cf3WP5uaGhzeZn+2WTJvUUbGe2nO5Tp6Zjw4bTNjnb2TQ2tmL69L2sY0DNzp/XY9as/TbTS6nVSqxYkY2srEQ8+GAali49xrm9wcCgvLyB9dWtQiFDWJgS0dGmXPOLF//AWkZqagR+/vkaWlj+hoiMVCIrKwHV1U0oKnKMwE9JicD8+d9y1u+rr8qwa1epJbUrG6NRBrncto2amsQ/eQfYn1yHhCgwbFgXLF58u0v3I9/TcOvyysrq0NTEfoD2r87ZrqeRI5Mxffpem/Wk+h5xBVsd2RIwBBrzTCX5+ftw/XozOnUy3RfemnWBEOI9grMBDBo0CMOHD0d5eTn279+P+Ph4/PGPf0ReXp4l8Cg/Px87d+5EcHAwOnXqhKysLDz77LMOT1+F+Doy05NpEt0tO6I8GXI4PgUyT4H01aFkTJz7Z1y69IhNO8radAipLYTcUA6jIgFNEQVglCmW7Xe+Mw0P/naTJBmXTGNJZZDByPv0t1k5Bc2aNRxr3JCY+LboSdrDwpS4dOkRyc6hmPSgbJKTw1n3b47Wj41dx9vZFWKdgICrjlx1MH92/PiDnNs6k3JUauZzCHgmZajYMvlSvIrZv6/TrRLxqC0JCQyCT1YvXLiA9evX47HHHsMTTzyBEydO4KmnngIATJ8+HQBw9913Y+zYsUhJSUFpaSkKCwsxbtw47N27FyoV+/ih4uJip5Z7w9WrjZzL3a3X1auNNlmcjEZg4fLheOODMaLK7hOqRojCsbN6/pdo9PjtMwAAubzNUlZxcTGCZb/gptBZCJaXmVZuBYwNh/Fz4wq0MF0AAFPuZu+omgN8DAygFDlnhMGowrGG/VDLjyJV9TyUslq0MU0IlrVZMjJVt4zCxbZ5QI3wMTc1ie80NTWZjl2qc1hScln0umZJSSGIjGTvppeUXEFxcbFbHVXrcgDg97/vjMOHf0FZWZOoOgA32oFr2ytXfBecYj6HAHf7Wx+/s8SWyXUNyWSmNhfavye/R8x8+T3Z3lBbuoc6+8QbBDurRqMRt912GxYuXAgAuPXWW1FSUoJ169ZZOquTJk2yrN+7d2/069cPffv2xRdffIFx48axlst2gfv6r9yYmCLU1Tk+EYmJCXW7XgsffxZ/ffg/NpOwvzj3P4iKCkJa2p8Et29tWgfVtfE2QwFaWuX441NTLD+HhCiRlpZmacfQay8juKnMppwQeRl6R8wBo0iGUZEAOfvvVQCAPrEGsjYdLv9vFLrFX7J0OFtaAJUKNp1cBkBT1EqkdUkDkIZmPGCZmcC6+xMCQGxLhoQcEP2Uz3zsUp3D7t0v4ujR66LWlcmArl3DsWrVUGzYcBo//ljLUl4s0tLSoFDsc6vDai4HANLSgJ07uzm83i0sLGKtA3CjHbi2HTt2J+dTRU8zn0OAu/2tj99ZYsvkuobi40ORk5MhuB9Pfo8Avv+ebE+oLQkJDILPzLRaLXr16mWz7KabbkJZWRnHFkBCQgISExNRUlLifg29yJMD9v/yxy8cszjJTMvFMIZkoS56GwzyZDS2hKOkLNohJejf/mY71lJuKGctS2EshbL1AIKbuIPgGMZUWUaZgrrO36Jn7hrIb1kKRe+lCL1tKR7/+6MwGEPBQAEjwlAfaZrCSkr2ATdi1pXqHLIFpWi1IaxpShkGKC2tw6xZ+zF1ajpvMMuiRYOcqgdXOWYpKZFYu3YYtm/Pxdq1w5CSEskaKAiYxrxatwPbtkLtFB8fJhgopdGECq7Dxvp8eyIoSGyZXNfQunXihh9Q4A8hhEhL8FfK4MGDcfasbbT12bNn0bVrV85trly5gvLy8oALuBJKPeoOmZz9aRrXcjbGkCzUaY/j4cJ30eO3zzjkrj96tBo6nR7PPnsSubk7cLhIeCCq+WmpNYYBmsLmWX62Tm84cGAckpPD8d2pbDz43Ac40XIetQmXJO+oAqaAqfXr70JoqCkaXC4HfvObznjyyX6WTqNCIcOSJYMtmY/s03O6murSnHI0IUFluRb++c/hlpSmbPnqz5/XY8WK40hP74SYGBVUKjliYlRIT+9kWWfmzL5YsmQwa6c3OFiO9PQoJCeHIzNTg1GjumL06GTW1K6bN5/lnBEhJSUSX345HkOHxkOlkkOplCEuLhR33KHF4sU/8KbbzMpKxM6dYxAdHWSzXKmUITo6GLfdFou1a2+kOE1ICMWgQRpLus3Ro5ORmdmZNQCrUyclkpPDobabEEGhkDlkr7K+5jIzNUhODkdsrAqFhUU2dbef+WHz5rOc0f5iUjPrdHps2HAavXpFISxMibAwU+raW26JxoYNp0WlKeX6HklKCheciUAsMbMaEEJIeyEYYPXDDz9gxIgRmD9/PiZOnIjjx49jzpw5ePbZZ5GXl4e6ujosWbIE48aNg1arRWlpKV544QX88ssvOHLkCCIiIkRXpj2/kokoj4acZXIpI2SoTbjmVFm5uTtw4IDjU9PMTA1CFGWYMWkzEuP0uF6rQmbfcnTV8pdvkHWFjCmzTLXfFDIPrdELHNbzl9SXbOlRzXWQqo5C5QwfvhVHjzpG06tUcjQ3O/bU7OvgTj3tZ0kwY0tX6uq+2LYRuy1X2/TuHYGXX77TqRSZfHUvK6tzKMvZugrti+9ac4aU987evcfx5z+fanfpU32hPf/OIaQ9EXyy2r9/f3zwwQf497//jdtvvx0vvvginnnmGUybNg0AoFAocPLkSfzud79DZmYm8vPz0bNnT3z55ZdOdVTbu6aQeQ5dVebX5c7imuQ7WFaKt59/FQ+N/S+GDTqHe+8+CUMbg+9OZqItKBsGeTLrdgbVYNQmXIM+oQa1CddYO6qA/6S+ZEuPaq6DVHUUKqe6mn2wL1tHla0O7tSTLS0p33JX9sWX7lVoW662uXq1xekUmXx1ZyvL2boK7YvvWnOGlPfO6tXn22X6VEII4SIq3c0999yDe+65h/Wz0NBQbNmyRdJKBZKga4sQ0rTM5qmkITTn14xLNWDkUWjotMrUAbwGh3W5OoZ8CgoyUVRU7fBkpWDGZvRMuWqzbrcuNfj5YjDqO2+HrE0H9dUJUBjOWz43KFLRFFEgar/+lPqSqw5S1VGonLi4UKcDkazr4E492dKS8i13ZV9C7c63LVfbdO4cDJ2uiWUL7hSZfHXnSrfJtq4Yzl5rzpDy3qmuFk4FTAgh7YkLYRDELOjaIoQ2LYX81zz1cjAIbVqK8Gu5UBhLIYceCmMpwq+Nh7zpIFqjF4h6gimEa+xd1wT2zlNCnKlTyyhTUB+zFS0hk9EWlI2WkMmoj9lqM+8qH39KfclVB6nqKFSOfaCOGNZ1cKeebGlJ+Za7si+hdufblqttunQJRVQU+1R2XCky+erOVRbbuvbYxnw6e605Q8p7R6NhP+5AT59KCCFcBMeselOgjR/iGofKxiBPRp32uEfrYyybimjFVofl1wwTIE/a4Hb5NGaVfz/mVKplZfUO5XWkMatc+3vttZsRFNTZ52NWucpcsSIbs2btpzGrHUig/c4hpKOizqqdIF0aQpTVlij5pjYNWlPYJ42OLI8SlV4UAIzohNoEnWT1PHjwEvLz96GmphlRUaY0g3cMaoWqahxUshv7aWZS0Bz3qeinpzqdaexbeXkDEhJupGXcvPksZs/ej6amNshkMiQlhYFhTFHm5ul/+H5RspVbVlbncAxcHRa29Kjnz+tRVdXoUAf79V1NLbl581k8/vg+tLYaoVIpsXx5tk1nkG0/gGl84oULtaisbLCpm/mzkyev4vz5WjCMETKZHD17RqJXr2ibdYTa6cSJK1iw4AgMBgYymSnF6oABcTbHan2NADLo9ab8qzIZMG3azfjll3p8/30VAFNw3qxZGdiw4TROnryKn3++htZWWNZXKmUIDw/C4MFaLFkyRLA92dqmpaUSaWlpOHjwEqZN243Ll5sgl8tw++3xeOONbN7OL9f5NB+jOd3mY4/1wZtvHkdVVSMUChkGD47Dm28OtSmbL5PV1KnpNuUtXDgQmzadtaSmHTgwTlS6V7b7MykpXJLrsri4GMHBWt6yuO7j9srV4/WH3zmEEGHUWbUSpEtDaFC17WT3DNDYyt5h9dWT1YMHL3E+nbpjUCtaLz2FTmH1MCriHdKr8uF6+jNjxi28+eLN63E92WErV6sNweXLzTYT5PM9YRNbV6meLvG1sStTmfE9qTSXm5QULqqdFAoZOndWobLScfynM08d7Zkzq/Fxp43N97enzp1Op8eYMTscnmwnJamxc2eupWyu2TQGDozD5ctNgk/Lheoq9bVjT+h70hdvQHzJneP19e8cQog4NGbVivmJqjWZzLScDVeEP2P3vJWBEg2dVklWT76IakaZgvPNL6K+83Y0Rq8V3VEFuCOWFyw4IrgtXzQyW7mVlU0OmZz4osLF1lWqiGhno9aF8EXXm8sV204GA8PaUQWci5S3J9RRtS7fHZ46d4WFRaxDMMrK6m3K5ho/WlnZ4FCvsrJ6hzKF6ir1teMsX8za4Usd7XgJ6Yios2rFvqMqtLw1egEaQ56EETIwMM2Z2hjyJOqid8AgT4YRnUxPVKO3wRiSJVk9uaKguSKqxeKKWBabHpQrGllslDUg/hg8PTOB1G0s1AbXrzc71U58nImUd7V8d3jq3PG1n3XZBQWZliemZklJamg0oaL3xVdXT92fYvli1g5f6mjHS0hHJGrqqo6CYdg7pvYZnqy1Ri9AKxyj+utCPBdMFRWlgl7f6rCcK6JaLK4nTgqFTFSHlSsaWWyUNSD+GDw9M4HUbSzUBp06qZxqJz4REUGc9ZeCu23sqXPH135iyo6Lc0xR60p5nro/xfLFrB2+1NGOl5COqF08WZU3HUR4ZQYiypMRXpkBedNBl8ppatOwpx5t00hQS+l4Kvc4V+50Mfns+fK2s5Wr1YY4pBx15hg8kTvemtRtzFZf+3L51rGmUMig1XJ3rBiGYa2/FNRqpdtt7Klzx/bEFDA9NbUum224QFlZPWQymUO9kpLUDmUK1dVT96dYnr43/E1HO15COqKA76zKmw4i/Np41nlNndWaUozGVg2MRlMn1WjkDq7yBfPckIsX/4A77khAQkKoTe5xd4M3uOZvnTmzL9avvwthYUooFEBYmBJLlgx2WA8Aa77ylBTTtEDW+eRvvjkG6emm/OsREc4fg32ZycnhWLGCO6Lcmpi86llZiVizJgchIXLLMa9Zk2NTv4MHL+Hmm99H587roNWux4QJOzlztFvXNzRUBoVChpAQuU3eeQCW9u/UKYi1HJVKjk8/HY0vvxwPjYa9w1pX14akpHBkZWmhUsmhVMocOk9du6oRFMR++3MNewGAHj0iHaLOnc1Rz3WduXvuUlIisXNnLkaPToZGEwKNJgSjRnW1Ca4CuF8b19a2OtRr585c7NyZ61Rds7ISsW3baJtr0xxA52xbucKd9g1EHe14CemIAn42gPDKDCiMpQ7LvTGvqTc5E/HqiwhXvvoB4IyEt15PynlQ3d1OaL2DBy9h7NidDkFJ8fFh+OKLsQ51cHa+WL7pldauHQYAePDBXfj884sO6wwdGo/SUsdgISmo1UocOjTJpTlt3b0upYpyF9O2UpMyQp8i2KVDbUlIYAj4J6syYw3H8uverYiH+XvEK1/9+CLhrdeTan9SbCe0Xn7+Ptbo+YqKBtY6OJt3XsyrTRnHI9DiYr1HOqoAUF/fZqmjt69Jqfbni9fG/n7/EkKIPwv4ACtGHgUYHX8xM/JO3q+MB/l7xCtf/fgC1KzXk2p/UmwntB5ftD1bHZzNO29+tck38TtXAFV9vWcCq+zr6O416exE7lLdA2LaVmr+fv8SQog/C/jOakOnVQi/Nh4ytFmWST2vqT/w94hXd+vn7HG4uj+x2wmtxxdtz1YHV/LOp6RE8r6Wjohgv33DwoJw/brnOqzmOrpzztleixcVVfO+FpfyHhBqW6n5+/1LCCH+LOA7q8aQLNRFb0PY9XzIjNfByDuhodMql+c19dc0hQUFmSgqqrb55a5WK1FSYgo4caeeQsdsnToyPDwIaWmRMBhkNuuy1c/61erhwxWsE7bbryembgBQV9eCoCA5WltvvIsPCVHg/HnH9rAuIyJCiaQktUNGIuv963R61NW1IDhYjpaWG+UnJakxYIAGiYlvo6npxh9H1qzTrlpjax97arUSZ85cQ0bGR9BoQhEerkBxsR4VFQ02Qw7Uahk++WQ05zCAXr06ISRE6ZGhANZtJXTOzaxT9YaEHMDjj/fB8uUn0NRksFnP/FrcvhNpvv6uXm1ymEZNqw1BfX0rcnN3eOR+ler7QGxbebtehBASCAI+wEpK/p6m0PwL6sKFWpw8eRX19Tc6TNb1dKYdxQQS8aXttF6XK4c7WxrM0FAF+vSJRbduEZy/aNnqxpb+kq9egGNwV1KSGhkZsaitbXV4BcyXFrVTJyWuX2fvpKpUclE57v/why9w/HiNw2f2HWMxeveOxk8/XXNYnp2dgBUr7rSci/BwJRobDTh+/Arq61uhUsnR0sI4dBb5ZGTEoFevaM4c9Fyv0zdvPotHH90jej/Z2QnYvj3X8rPQ9WffeZXyfpX6+0CorcTau/c4/vznU377PRVIfP07hxAiDnVWrfgiStgVQvV0ph2FysrI+AilpXW8ZQi1j6vtyrWdWJMn9wAAp/btyj7DwpS4dOkRUevGxq4TnRFMzH4bGhw7z55o1+TkcBw//qDTdUxMfJu1jlzs6y7m+hMqw1X++n3wwAPbsGtXlcNyX9crEPn6dw4hRJyAnw1ASoESBCFlPd0JJBK7X6mDocSqqGhwet+u7LO5WXxnTKqOKmB6quhKVDvfMXLNsepqqlBn2iYkROFQd1fSxkp1v/rr90F1NXub+LpehBDiKdRZtRIoQRBS1lNMIJEQqYKaxG4nVnx8mNP7dmWfKpX4od/2WbvcER2tcmkydK5jTE4OR3x8KOtnrqYKdaZt7ror0aHuYq4/ezpdrSQT7vvr94FGw94mvq4XIYR4CnVWrQRK2j4p6ylUllDaTjH7dbW+bNuxpb/kq5ez++ZLeRobG8y6fPnybMH6mHGlro2Jcb5TtmrVUEtU+/btuVi7dpioMYtcbbJ9+xisWzdM0lShYttGoZBh1qwMh+VC1x/bZ6WldZgw4XO3O6z++n0wc2aqX9aLEEI8hcas2pEqCMLT+OrpbDsKHbM5Gvv69Wao1abZAIxGmaj2MZddUqJHdXUjtNowNDe34KefrsNgYCCTAampERgwII61LLa6AaZJ1k+duoqSklooFDKEhyvRq1c0DAaGNWjKmXNqXv/8eT1++UWPpKROlkCwoqIqzJ69H83NbQgOViA5OQwXLtTDYGAQFxeKOXMy8I9//IiammZERamwatVQhxSyixZ9j2XLjoFhTK/d583rh4ce6mUJnqusbEBcXCjUatNsAOXltnPVhoQAK1fehV27Sm2iwcvK6iyzNtjv2z56fOrUdGzYcNqyP40mFN27R9qUc/16Mzp1ulGOqxHotrMBKNG5cwjrOFSuMZd819/UqenIz9/nVHnO4Lt2fBWRX1xcjOBgbUB8T/k7f/idQwgRRp3Vdshf2pEtmpovot4fI5q52lKn02PEiG2orGzi3V6plGHbttE2nUZnIszFzogQHx+GqirbKa7M+05KCmfd54oV2Zg1a7+oukgRGV9cXIyqKjXGjNnJ+nmfPtE4cOA+UWVZy83dgQMHyh2W288sICVfzhziL/d3e0BtSUhgoGEAxGPYUkxydVSBwEo/WVhYJNhRBUwpVfPz99ls50zaTbb1y8rqHabusp+L1XrfXPvMz98nui5SpQu1bgt7JSW1TpVl5ouxpZQ+lRBCvIc6q8RjXImsD5SIZmeOzTqS3huzE9jvm6sMrgh/Z9LFOnu++KL7XQ0+88XY0pIS9vGwnkjEQAghHV3AZ7Ai/suVyPpAiWh25tisI+m9MTuB/b65yujUScWaltWZdLHOni++NLXR0a7NOJCSYnr97s0xnNXVjazLq6rYlxNCCHEdPVklHsP2xKtTJ+6/jwIpormgIBNabYjgevaR9FLMTsA2I0J8fBjkdnezed9c+1y4cCBr5P/Uqemi6uHK+eKaVUChcH3GAQAuzYrgjrg49im+tNrA+GOLEEICCT1ZteNshK+vIoK9vV9zRLY50nzhwoEO0ej2++d64vX55zosWHDEajaASAwYoOFNu8p2rPZ1Mketu1JXNps3n8Xjj3+D1ta9UKmUWL48G5Mm9bQc2z//ORwPPfQlrl0zPSlUqRSYM6cvPv74rCWSfuHCgdiw4TQWL/4BERFKyGQyKBS2aUJLS2vxm99sdEjXqtPpMX/+IVy50gC5HJDLZYiLC8WaNTlISgq3mRGhrq4FnTuHgmGMaGxsg9EoQ0yMEuPGfQaGYaBSKfCb33SGShVkE0Vvn8a0rY3Bhg2nLeVbt5kUTy+zshKxZMlgzJ//rWVZdHQw3n//tzazJoi9vnU6PZ5++jC+/96U0SkzU4MlS4Z4/B5MTY1EUVG1w/Ju3SI8ul+xpPh+8NV3GyGE2KPZAKxIEantjYhgof1K3Y5C+dnt9y8lrmMtKBiAGTP22tRJqZShsHAQCgqOuF1Xrpz269ffhUmTekKn02PMmB0OgU5JSWrs3JmLlJRI1roLiY8PwxdfjAUA1vKt91FWVudwXuRyIC4ujHMs6fr1dyEzM463XgMHxuHy5SbJr2vzbAD2dXZ1xgQx58BT/Hk2ACnq5svj8yZf/84hhIhDwwCsSBGp7Y2IYG/vl+0JnD1P7Z/rWGfP3s/6VHDBAv6Oqti6zp69n3d5YWERa0eyrKzeUjZb3YVUVDSgsLCIs3zrfbCdF6ORP+hp9uz9gvWqrGzw2PXF9TTXlRkTxJwDTzG/NXA2e5g3SPH9QLMdEEL8CQ0DsCJVpLanI9q9vV+x+dnZ9u/uq0SuY+XKOW9+tS6mrnx14yrfvJwvSt/cDq5G8ldU2CYB4FpH7Hmx1tzcxluv1NRIxMSoWCfZl+L64qqzKzMmiDkHnmQeJ+tv+NpP7P3oq+82QghhQ51VK1JFans6ot3b++WL4ObbP9urxKKiaqeeQHEdq0qlREODY4fSeiwon/BwJW/duMo357rni9I3t4OrkfxizmN8fBh0OnHnxZpKpeSsV3JyuGVc6tGjjuMxpbi+uK4lV2ZMEHMOOiKudhG65sWU0ZHblRDiOzQMwIoUkdreiGj39n6F8rNz7V+KV4lcx7p8eTZrJPuiRYNE1VUmk/HWjSunvXl5QUGmQ0Q+YBovaW4HtroLMQcucZVvvQ+28yKX83coli/P5mzT7dvHICUl0qPXF1udXZ0xQcw56Ii42k/omhdTRkduV0KI71Bn1Yqz49B8NW7N2/vNykrEtm2jkZwcjk6dgpCcHI716+8S3L8UrxK5jnXSpJ4Oddq2bTRmzuwrqq5cTyTNdZs0qSeWLBlsmQ5KoZBhyZLBNrMBrFmTg4SEUAQFyaBSyZGTk2gT2GNf91GjumL06GT06RONsDAlVCoZZDJT2ebtv/hiLFJSIpGSEomdO3MxalRXREcHQ6WSIyZGhdGjk7FzpymF6IYNp9GrVxTCwpSIiDAd6/btY/DFF2MxeXIPpKSoIZM51j8lxZRqNTExDEqlad/JyTc6uJ68vtiuJevgKuv9jxrVFRpNCDSaENx8c5RDWeY2Gj062bLeqFFdPR5c5e+4zp/QNS+mjI7croQQ36HZANohf2nHvLzd2LjxnMPyyZN7+Hysn1DdhKKhfRktLWbffOsA7DMNeDqK3pnrsqNEo7vC1fvbn+9HX/GX70pCCD96sko8xp9fJQrVTWgIgy+jpcXsm28dX0bRi0XR6NLz5/uREEL4UIAV8RhfpMGUqm5CQxh8GS0tZt986/DNNMBXf29OEk/R6NLz5/uREEL4UGeVeJS/Tu8D8NdNKBral9HSYvbtav24PpdiZgdnUDS6Z/jz/UgIIVyos2onUFIMeqqeXClM7fc3dWo6Nmw47ZftJEXbFBRk4vDhCpvX5UlJakydmo68vN04f14PtVqJ+vob01uJfaVqXT9zCla9vtWhrlzHUVCQiaKiapuOo0qlQH19K3Q6Pec61vX75ptfUFnZZFOvkBA5pk5NZ63r3r2/oLradn3za3lPdH4KCjId6hgUJLM5RkIIIR0DdVatePvpkas8VU/7tKp6fSvGj/8Ma9bkoLDwqM3+/v3vEptMRP7STp48h62tBsyYsdemA6tWK3HzzdGWjqDQPoRSsJrrCoD3OLZuHYX58w9hz55LaGoyoLnZgM8+K8WpUzU267C98tXp9AgKUjjsu6nJiFmz9vMGkdnz1Gv5srI6XL5sm0CgtZVxOEZCCCHtHwVYWQmUoA5P1ZMrFebs2fsd9me/nr+0k1RtwxaEVFnZ5LCsvr4NqammV6tiOk9CqU6tg6D4jiMlJRLh4cFoajLwrrN27TBs355rUz++VK5CQWT2PPVaPj9/H2dyB3+51gghhHgHPVm1EihBHZ6qJ1cqTK7Uo1LvXwpStY0zqVKdKVtMuXxBUGKDqNypg9h0sZ6MJBdKJesP1xohhBDvoCerVgIlqMNT9YyKUrEuN6cYFeIP7SRV2ziTKtWZssWUGx8f5tEgKqE6CAWRaTQhHp8knutaNPOHa40QQoh3UGfVSqDMQ+ipenKlwly+PNthf/br+Us7SdU2bOUkJakd0ns6W7ZQClZzeWKOw9Vj5auD9fZc5X/99XjRwx5cxZfi11+uNUIIId5BGazsmKOf/X0eQr56utOO5tkArl9vRqdOjrMBmPdnng1AqJ34IvM9PaOB/TE4S6fT46mn9qC+XmE5RgC81wfXbAr25ZrLCA83zQZQW9vqUJ6Ya9HV69W83YULtaisbEBcXChrkJiU94Oz16W5La9ebYTRKEPPnpHo1Svab+9Jb/GH78n2gtqSkMBAndV2yF/aUSjlpyfSaUqdptOZtrSfTQEwPYHetm20S53l9sZfrstAR+0oHWpLQgIDDQMgHiOU8tMTMxr4ckYHrtkU8vP3eXzfhBBCSHtFswEQj3El5ae7Ud6+nNGBK4L9+nX+yHZCCCGEcKPOKvEYV6LV3Y3y9uWMDlFRKuj1rQ7LO3Xij2wnhBBCCDdRwwAqKiowc+ZM9OjRA1qtFoMGDcKBAwcsnzMMg8WLFyM9PR3x8fEYM2YMTp065bFKk8DAF63uqRkNfDmjA9dsCqtWDfX4vr1Bp9MjL283cnN3IC9vN3Q6/oQBhBBCiBQEn6zW1NTgnnvuweDBg/HJJ58gNjYWOp0OGo3Gss4bb7yBlStXYuXKlUhLS8PLL7+Me++9F99//z0iIiI8egCAtFHlnopQ93TZUlm9+gQWLDgCg4GBQiHDokWDMHNmX5fqzpfyEwDvZ64S2qe7+NohKysR27aNdmsmAq7y7ZebZ2PgOx98MxOIOZ/W24eHB8FgMKKyssnyuStpbAPhHrAXiHUmhJD2RHA2gBdeeAEHDx7EF198wfo5wzBIT09HXl4e5s2bBwBobGxEWloaXnzxRTzyyCOiK+NKZKaU0d9SR5J7q2x7rka4rl59AvPnf+uw/Mkn+2HTphKv1N3fWLelp88hV/krVmRj1izblLdKpcwmmMu+HnwzEyQlhQseB9v2bCZP7oG1a4eJOr69e4/jz38+FVDXkTfvW7Eogl061JaEBAbBYQA7d+7EgAED8Mgjj6Bnz56444478NZbb4H5NUJGp9OhsrISw4bd+IUVGhqKIUOG4MiRI56r+a+kjP72ZCS5L6PUxVqwgP18LVt2zO/r7g2ePodc5efn73NYbt+JtK8H38wEYo6DbXs2zgSurV59PuCuo0C4bwkhpL0THAZw4cIFrF+/Ho899hieeOIJnDhxAk899RQAYPr06aisrAQAm2EB5p/Ly8s5yy0uLnZqOZeSksscy6/4tCxvls3GlTINBvbOCVfkvqfq7m/Mx+jpc8hV/tWrjSK3v1EPrm2uXm0UdRxi96lWG0Qfe3U1+6wI/nwdefu+Fctf2ysQUVu6h55ME28Q7KwajUbcdtttWLhwIQDg1ltvRUlJCdatW4fp06db1pPJbANLGIZxWGaN7QJ35ZVM9+4XcfTodZblsT4ty5tl23P11ZZCsY+1wyqTsXdYPVF3f2Pdlp4+h1zlx8SEoq6uTsT2N+oRE1PEuk1MTCi6d+8seBxc21tLTY3ESy/dJfp1uEZzUrDe/sab961Y9OpaOtSWhAQGwWEAWq0WvXr1sll20003oayszPI5AFRVVdmsc/nyZYenrZ4gZfS3JyPJfRmlLtaiRYNYl8+b18/v6+4Nnj6HXOWvWjXUYbn9rAP29eCbmUDMcbBtr1DIMHRoPLKzEzB5cg+nx23OnJkacNdRINy3hBDS3gk+WR08eDDOnj1rs+zs2bPo2rUrACAlJQVarRZ79uxB//79AQBNTU04fPgwXnjhBQ9U2ZaU0d+ejCT3dJS6FGbO7AsArLMBPPRQL7+uuzd4+hzylW+/3DwbAFc9hGYmEDoOKWY2sNelS6jf3wP2AuG+JYSQ9k5wNoAffvgBI0aMwPz58zFx4kQcP34cc+bMwbPPPou8vDwAwOuvv45XXnkFK1euRM+ePbFs2TIcOnTI6amr6JWMNKgdpUNtKR1qS2lQO0qH2pKQwCD4ZLV///744IMP8MILL2Dp0qVISkrCM888g2nTplnWmTt3LhobG/Hkk0+ipqYGAwYMwJYtW7wyxyohhBBCCGm/RKVbveeee3DPPfdwfi6TyfD000/j6aeflqxihBBCCCGEiEq3SgghhBBCiC+IerJKSCCh9JiEEEJI+0GdVdKusKXHdCWHPSGEEEL8Aw0DIO0KpcckhBBC2hfqrJJ2pbycPVe9MznsCSGEEOI/qLNK2pWEhDDW5fHx7MsJIYQQ4t+os0raFUqPSQghhLQvFGBF2hVKj0kIIYS0L9RZJe1OSkok1q4d5utqEEIIIUQCNAyAEEIIIYT4LeqsEkIIIYQQv0WdVUIIIYQQ4reos0oIIYQQQvwWBVjZobzyhBBCCCH+gzqrViivPCGEEEKIf6FhAFYorzwhhBBCiH+hzqoVyitPCCGEEOJfqLNqhfLKE0IIIYT4F+qsWqG88oQQQggh/oUCrKxQXnniLppNghBCCJEWdVbtUF554iqaTYIQQgiRHg0DIEQiNJsEIYQQIj3qrBIiEZpNghBCCJEedVYJkQjNJkEIIYRIjzqrhEiEZpMghBBCpEcBVnakiOamiPCOiWaTIIQQQqRHnVUrUkRzU0R4x0azSRBCCCHSomEAVqSI5qaIcEIIIYQQ6VBn1YoU0dwUEU4IIYQQIh3qrFqRIpqbIsIJIYQQQqRDnVUrUkRzU0Q4IYQQQoh0KMDKihTR3BQRTgghhBAiHeqs2pEimpsiwgkhhBBCpEHDAAghhBBCiN+iziohhBBCCPFb1FklhBBCCCF+i8asEhuUKpYQQggh/oQ6q8SCUsUSQgghxN/QMABiQaliCSGEEOJvqLNKLChVLCGEEEL8DXVWiQWliiWEEEKIv6HOKrGgVLGEEEII8TcUYEUsKFUsIYQQQvwNdVaJDUoVSwghhBB/QsMACCGEEEKI36LOKiGEEEII8VuCndXFixcjKirK5t9NN91k+Tw/P9/h87vvvtujlSaEEEIIIR2DqDGraWlp2LFjh+VnhUJh83lOTg7WrFlj+Tk4OFii6hFCCCGEkI5MVGdVqVRCq9Vyfq5SqXg/J4QQQgghxBWixqxeuHABN998MzIyMvCnP/0JFy5csPn88OHD6NmzJwYMGIA5c+agurraE3UlhBBCCCEdjOCT1czMTPzjH/9AWloaLl++jKVLl2LEiBH49ttvERMTg7vvvhtjx45FSkoKSktLUVhYiHHjxmHv3r1QqVTeOAZCCCGEENJOyWpqahhnNqirq0O/fv3wxBNPYNasWQ6fl5eXo2/fvvjnP/+JcePGSVZRQgghhBDS8Tg9dVV4eDjS09NRUlLC+nlCQgISExM5PyeEEEIIIUQspzurTU1NKC4u5gyounLlCsrLyyngihBCCCGEuE2ws1pQUIADBw7gwoULKCoqwsMPP4yGhgY8+OCDqKurQ0FBAb777jvodDrs378fDzzwADQaDXJzc71Rf0IIIYQQ0o4JBlhdunQJ06ZNw5UrV9C5c2dkZmbiq6++QnJyMhobG3Hy5En861//wvXr16HVapGdnY23334bERER3qg/IYQQQghpx5wOsCKEEEIIIcRbnB6z6q6KigrMnDkTPXr0gFarxaBBg3DgwAHWdefOnYuoqCgsX77cy7X0f2La8ezZs3jooYeQnJyMhIQE3HnnnThz5oyPauy/hNqyrq4OTz75JG655RbEx8cjMzMTK1eu9GGN/VPfvn0dUi9HRUXh/vvvBwAwDIPFixcjPT0d8fHxGDNmDE6dOuXjWvsfvnZsbW3FwoULMWTIECQmJqJXr16YNm0aLl686Otq+yWha9Ia/b4hxH+JymAllZqaGtxzzz0YPHgwPvnkE8TGxkKn00Gj0Tisu23bNvzwww9ISEjwZhUDgph2vHDhAu655x488MAD+PTTTxEVFYWff/4ZarXahzX3P2LacsGCBdi7dy9Wr16NlJQUHDp0CHPnzkVsbCweeOABH9bev+zZswcGg8Hyc0VFBXJycjBhwgQAwBtvvIGVK1di5cqVSEtLw8svv4x7770X33//PQ0bssLXjg0NDfjf//6HefPmoW/fvtDr9SgoKMB9992HgwcPQqn06le63xO6Js3o9w0h/s2r32xvvvkm4uPjsWbNGsuybt26OaxXWlqK+fPnY+vWrbjvvvu8WMPAIKYdCwsLMWzYMCxatIhzHSKuLb/77jtMmTIFd955JwAgJSUF7733Ho4ePUqdVSudO3e2+fm9995DREQEJkyYAIZhsGrVKjzxxBMYP348AGDVqlVIS0vDpk2b8Mgjj/iiyn6Jrx3DwsKwdetWm89fe+01DB48GGfOnEHv3r29WFP/x9eWZvT7hhD/59VhADt37sSAAQPwyCOPoGfPnrjjjjvw1ltvgWFuDJtta2vDtGnTMG/ePPTq1cub1QsYQu1oNBqxa9cu9OrVC5MmTUKPHj1w1113YcuWLT6uuf8Rc00OHjwYu3btQllZGQDgyJEj+PHHHzF8+HBfVdvvMQyD9957D1OmTEFYWBh0Oh0qKysxbNgwyzqhoaEYMmQIjhw54sOa+jf7dmRTW1sLAIiKivJizQIPW1vS7xtCAoNXO6sXLlzA+vXr0a1bN2zevBkzZ87E888/j7Vr11rWWbx4MaKjo/Hoo496s2oBRagdq6urUVdXh1dffRV33XUX/v3vf2PSpEnIy8vDrl27fFx7/yLmmnzppZfQt29f9OnTB507d8aYMWPw3HPPYeTIkT6suX/bs2cPdDod/vCHPwAAKisrAcBhyI9Go0FVVZXX6xco7NvRXktLCwoKCjBy5Eh06dLFy7ULLGxtSb9vCAkMXh0GYDQacdttt2HhwoUAgFtvvRUlJSVYt24dpk+fjgMHDuDDDz/E/v37vVmtgCPUjkajEQAwevRoS0rcjIwMHDt2DOvWraNOlhWhtgSANWvW4MiRI/joo4/QtWtXHDp0CM8++yySk5Nx9913+7L6fuudd95B//79kZGRYbNcJpPZ/MwwjMMycgNXOwKmp4LTp0/H9evX8dFHH/mgdoHFvi3p9w0hgcOrT1a1Wq3Dq5abbrrJ8np1//79qKioQK9evRAbG4vY2FhcvHgRCxcuxC233OLNqvo1oXaMjY2FUqnkXYeYCLVlY2MjXnjhBTz//PMYNWoU+vTpg+nTp2PixIkUNcyhuroan332GR5++GHLMnNGO/unqJcvX2YNsCTs7WjW1taGRx99FD/99BO2bduGmJgYH9QwcLC1Jf2+ISRwePXJ6uDBg3H27FmbZWfPnkXXrl0BANOmTbMEX5hNmjQJkyZNYv3C7qiE2jE4OBj9+/dHcXEx5zrERKgtW1tb0draCoVCYbOOQqGwPMEmtj788EOoVCpMnDjRsiwlJQVarRZ79uxB//79AZhSNx8+fBgvvPCCr6rq19jaETBdk3/6059w6tQp7Nixg1Jbi8DWlvT7hpDA4dXO6mOPPYYRI0Zg2bJlmDhxIo4fP4633noLzz77LADT+DX7pyxKpRJarRZpaWnerKpfE2pHAJgzZw4eeeQRDBkyBHfeeSf279+PLVu24IMPPvBhzf2PUFtGRkYiKysLzz//PNRqNbp27YqDBw/iX//6F55//nkf197/MAyDd999FxMnTrSZjkomkyE/Px+vvPIK0tLS0LNnTyxbtgxqtZoisFlwtWNbWxsefvhh/Pe//8VHH30EmUxmGQ8cGRmJ0NBQX1XZb3G1Jf2+ISRweD2D1RdffIEXXngBZ8+eRVJSEvLy8jBjxgzOcWt9+/bF9OnTMXv2bG9W0++JaccPPvgAr776Kn755Rd0794df/nLX6hjwEKoLSsrK/H8889jz549uHbtGrp27Yo//vGPmDVrFo23tPPNN99g3Lhx+M9//oMBAwbYfMYwDJYsWYINGzagpqYGAwYMwLJly+iVKwuudtTpdLj11ltZt1m5ciV+//vfe6uKAYPvmrRHv28I8U+UbpUQQgghhPgtr6dbJYQQQgghRCzqrBJCCCGEEL9FnVVCCCGEEOK3qLNKCCGEEEL8FnVWCSGEEEKI36LOKiGEEEII8VvUWSWkg+nbty/y8/MF19PpdIiKiqJEEoQQQnyKOquEBKgPPvgAUVFRiIqKwjfffMO6zrBhwxAVFYWBAwdKss/Fixdb9hkVFQWNRoOMjAw8/fTTuH79uiT78JSTJ09i8eLF0Ol0vq4KIYQQJ3g13SohRHohISHYuHEj7rzzTpvl586dww8//ICQkBCb5UVFRZDL3fs7denSpYiMjER9fT12796NVatW4b///S8+//xzv83qderUKbz00ku44447kJKS4uvqEEIIEYmerBIS4EaMGIFt27ahubnZZvnHH3+MuLg43HbbbTbLVSoVgoKC3NrnuHHjMGXKFPzpT3/C+++/j7Fjx+Lbb79FUVGRW+UyDIOmpia3yiCEENK+UGeVkAA3adIk1NXVYdeuXTbLN23ahIkTJzo8RWUbs1pRUYGHH34YSUlJ6NatG2bNmoXa2lrRdTA/1b1w4QJaWlqwaNEi5OT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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,5))\n", "\n", "ax.scatter(heights_with_predictions['MidParent'], \n", " heights_with_predictions['Child'], \n", " label='Child', \n", " color='darkblue')\n", "\n", "ax.scatter(heights_with_predictions['MidParent'], \n", " heights_with_predictions['Prediction'], \n", " label='Prediction', \n", " color='gold')\n", "\n", "x_label = 'MidParent'\n", "\n", "y_label = ''\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Measuring in Standard Units\n", "Let's see if we can find a way to identify this line. First, notice that linear association doesn't depend on the units of measurement – we might as well measure both variables in standard units. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def standard_units(xyz):\n", " \"Convert any array of numbers to standard units.\"\n", " return (xyz - np.mean(xyz))/np.std(xyz) " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " MidParent SU Child SU\n", "0 3.454652 1.804156\n", "1 3.454652 0.686005\n", "2 3.454652 0.630097\n", "3 3.454652 0.630097\n", "4 2.472085 1.888017\n", ".. ... ...\n", "929 -1.424873 -0.767591\n", "930 -1.424873 -1.326667\n", "931 -1.424873 -1.606205\n", "932 -2.185390 -0.068747\n", "933 -2.185390 -2.724356\n", "\n", "[934 rows x 2 columns]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights_SU = pd.DataFrame(\n", " {'MidParent SU':standard_units(heights['MidParent']),\n", " 'Child SU':standard_units(heights['Child'])}\n", ")\n", "heights_SU" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On this scale, we can calculate our predictions exactly as before. But first we have to figure out how to convert our old definition of \"close\" points to a value on the new scale. We had said that midparent heights were \"close\" if they were within 0.5 inches of each other. Since standard units measure distances in units of SDs, we have to figure out how many SDs of midparent height correspond to 0.5 inches.\n", "\n", "One SD of midparent heights is about 1.8 inches. So 0.5 inches is about 0.28 SDs." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.8014050969207576" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sd_midparent = np.std(heights.iloc[:,0])\n", "sd_midparent" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.27756111096536695" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "0.5/sd_midparent" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " We are now ready to modify our prediction function to make predictions on the standard units scale. All that has changed is that we are using the table of values in standard units, and defining \"close\" as above." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def predict_child_su(mpht_su):\n", " \"\"\"Return a prediction of the height (in standard units) of a child \n", " whose parents have a midparent height of mpht_su in standard units.\n", " \"\"\"\n", " close = 0.5/sd_midparent\n", " close_points = heights_SU[(heights_SU['MidParent SU'] >= mpht_su-close) & (heights_SU['MidParent SU'] <= mpht_su+close)]\n", " return close_points['Child SU'].mean() " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n", "
" ], "text/plain": [ " MidParent SU Child SU Prediction SU\n", "0 3.454652 1.804156 0.937589\n", "1 3.454652 0.686005 0.937589\n", "2 3.454652 0.630097 0.937589\n", "3 3.454652 0.630097 0.937589\n", "4 2.472085 1.888017 1.025864\n", ".. ... ... ...\n", "929 -1.424873 -0.767591 -0.444284\n", "930 -1.424873 -1.326667 -0.444284\n", "931 -1.424873 -1.606205 -0.444284\n", "932 -2.185390 -0.068747 -0.703401\n", "933 -2.185390 -2.724356 -0.703401\n", "\n", "[934 rows x 3 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights_with_su_predictions = heights_SU.copy()\n", "\n", "heights_with_su_predictions['Prediction SU'] = heights_SU['MidParent SU'].map(predict_child_su)\n", "\n", "heights_with_su_predictions" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,5))\n", "\n", "ax.scatter(heights_with_su_predictions['MidParent SU'], \n", " heights_with_su_predictions['Child SU'], \n", " label='Child_SU', \n", " color='darkblue')\n", "\n", "ax.scatter(heights_with_su_predictions['MidParent SU'], \n", " heights_with_su_predictions['Prediction SU'], \n", " label='Prediction_SU', \n", " color='gold')\n", "\n", "x_label = 'MidParent SU'\n", "\n", "y_label = ''\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot looks exactly like the plot drawn on the original scale. Only the numbers on the axes have changed. This confirms that we can understand the prediction process by just working in standard units." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Identifying the Line in Standard Units\n", "Galton's scatter plot has a *football* shape – that is, it is roughly oval like an American football. Not all scatter plots are football shaped, not even those that show linear association. But in this section we will pretend we are Galton and work only with football shaped scatter plots. In the next section, we will generalize our analysis to other shapes of plots.\n", "\n", "Here is a football shaped scatter plot with both variables measured in standard units. The 45 degree line is shown in red." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = 0.5\n", "x_demo = np.random.normal(0, 1, 10000)\n", "z_demo = np.random.normal(0, 1, 10000)\n", "y_demo = r*x_demo + np.sqrt(1 - r**2)*z_demo\n", "\n", "plt.figure(figsize=(6,6))\n", "\n", "plt.xlim(-4, 4)\n", "\n", "plt.ylim(-4, 4)\n", "\n", "plt.scatter(x_demo, y_demo, s=10)\n", "\n", "plt.plot([-4,4],[-4,4], color='r', lw=2)\n", "\n", "plt.xlabel('x in standard units')\n", "\n", "plt.ylabel('y in standard units')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But the 45 degree line is not the line that picks off the centers of the vertical strips. You can see that in the figure below, where the vertical line at 1.5 standard units is shown in black. The points on the scatter plot near the black line all have heights roughly in the -2 to 3 range. The red line is too high to pick off the center." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = 0.5\n", "x_demo = np.random.normal(0, 1, 10000)\n", "z_demo = np.random.normal(0, 1, 10000)\n", "y_demo = r*x_demo + np.sqrt(1 - r**2)*z_demo\n", "\n", "plt.figure(figsize=(6,6))\n", "\n", "plt.xlim(-4, 4)\n", "\n", "plt.ylim(-4, 4)\n", "\n", "plt.scatter(x_demo, y_demo, s=10)\n", "\n", "plt.plot([-4,4],[-4,4], color='r', lw=2)\n", "\n", "plt.plot([1.5,1.5], [-4,4], color='k', lw=2)\n", "\n", "plt.xlabel('x in standard units')\n", "\n", "plt.ylabel('y in standard units');\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So the 45 degree line is not the \"graph of averages.\" That line is the green one shown below." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = 0.5\n", "x_demo = np.random.normal(0, 1, 10000)\n", "z_demo = np.random.normal(0, 1, 10000)\n", "y_demo = r*x_demo + np.sqrt(1 - r**2)*z_demo\n", "\n", "plt.figure(figsize=(6,6))\n", "\n", "plt.xlim(-4, 4)\n", "\n", "plt.ylim(-4, 4)\n", "\n", "plt.scatter(x_demo, y_demo, s=10)\n", "\n", "plt.plot([-4, 4], [-4*0.6,4*0.6], color='g', lw=2)\n", "\n", "plt.plot([-4,4],[-4,4], color='r', lw=2)\n", "\n", "plt.plot([1.5,1.5], [-4,4], color='k', lw=2)\n", "\n", "plt.xlabel('x in standard units')\n", "\n", "plt.ylabel('y in standard units')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both lines go through the origin (0, 0). The green line goes through the centers of the vertical strips (at least roughly), and is *flatter* than the red 45 degree line. \n", "\n", "The slope of the 45 degree line is 1. So the slope of the green \"graph of averages\" line is a value that is positive but less than 1. \n", "\n", "What value could that be? You've guessed it – it's $r$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Regression Line, in Standard Units\n", "The green \"graph of averages\" line is called the *regression line*, for reasons we will explain shortly. But first, let's simulate some football shaped scatter plots with different values of $r$, and see how the line changes. In each case, the red 45 degree line has been drawn for comparison.\n", "\n", "The function that performs the simulation is called `regression_line` and takes $r$ as its argument." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "\n", "def regression_line(r):\n", " x = np.random.normal(0, 1, 10000)\n", " z = np.random.normal(0, 1, 10000)\n", " y = r*x + (np.sqrt(1-r**2))*z\n", " plt.figure(figsize=(6, 6))\n", " plt.xlim(-4, 4)\n", " plt.ylim(-4, 4)\n", " plt.scatter(x, y)\n", " plt.plot([-4, 4], [-4*r,4*r], color='g', lw=2)\n", " if r >= 0:\n", " plt.plot([-4,4],[-4,4], lw=2, color='r')\n", " else:\n", " plt.plot([-4,4], [4,-4], lw=2, color='r')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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M+pSrG15dqbFFoqAHovT0dEaPHs2ZM2eIi4ujXbt2rFy5kp49ewb7VkIIUW5lpVVXtnbclL05fHPSjt3PMlyBex1HeW3m/dTLyWBf43b0Gz2XzJgEABoYTpKV+SB293EaxjRmzeBVtK7dukLjinRBD0QffPBBsF9SCCGCxldadS2dij6NDT5Tkcsq9Fne5IQuqQeYsWAssbk57Lm0C31HvI/ZEANAw6hfseWMx+46y+VJl/NOr0944+doTlkzQl4NokAoOtH6IrXmhBAXFV+VAfo0NvhMUAik0Gd5DrD2PLSHNQv/SYzDhrNfP2JmzOOmg05OW914nNv5IfVh8tw2rk66mrdvWs7wbXaOmm0+7x1soepE60v1z/sTQohymNopluTo4hWpk6NVfpfjAunMGugB1lsPbGXD/HHEOGzsuOFWrEuX0iQplvnda3Nb8gb2HB1DntvG8LbDeeeKd3jnFyUkXWH9CVUnWl8kEAkhLj4lWyOU0SohkEKfcbqy2y2M2PsFny96jCi3kxndhpOweA5otSiKwrTd05j4zUQ8ioenrnqKmb1nolVrQ9YV1p+qvqcszQkhLirTfjSTZimeSZBm8XDz5kyaxGi87oeUVegz1ezkhwy73/tO3L6Yd9ZOB+D5vuOZecsE7qsVhdPt5OGvH2b5b8vRqDR0SJ7G7uzbGf3tOYYnqELaFdaXqr6nBCIhxEXF11/7x4scbi25HzKitZEvjtqKVWDQqvK/DzBlbw7peaVf86okLb9nO3l07fs8s3UuAI8MmsyM7vdwRZyW8/bz3LfhPrYd34ZBG02tWu/ww/mucP6vauGGKObeYAxqV9hABLsTbVlkaU4IcVHx9dd+USX3Qxb9XjwIQX5ZoEW/5ycQ7MvwfmD/aI6TTza+zjNb5+JSa7jvzpeZ0f0eAOobs+i/sj/bjm8jKTqJ61p+Qrqra7Hnp+WpWfS7jTV9ExnSwki3+nqGtDCGNFEBLlSFqKp7yoxICHHRSDU7sTg9RKkp85zPMbOLUTuyOGV1cyjbexe7gj0Tt5eKnVq3k1mLn+Gm/6zHrtUx9N63WNs+/zxlI8Mx9h4ZTYb1JAZdM65otogz9gZA6fuctrqD0hW2vKrynhKIhBAXBW8pyQYNJOhVnLKVjiQHz7n8luWB/D2TVLMTq7P48w2OPFYsfoybD+5AiYkhbcES9MYOdLO60Xh+YN+xMVicOaD5O3mGWWw6mYBG5T3YhXIvKFLI0pwQ4qLgLSU5zw0d6+hLNXozacFSci2uhII9k2k/mosVM43Ny2XTvLHcfHAHjloJPP3cUkYo7QG4pdEO9hy5Lz8IaXuA6UNQ51dS8DarSjZ4QroXFClkRiSEuCgcNXufcWTkeUo1ejty3skPZ0tfn2RQ0SZeV6yS9zcnL2Qp1MnNYvPcMXROO8jp+LoMGL+AH7Qt4bQD7Ev4PG86oJBU6y4ylMmgKj3b0aigUx0dzWK1DE/ICnkFhUgggUgIcVE4mes9EJ20XJglFUxK6ho0eNuvuaHhheoLBUt9Wfb8ZyWfO8XWOaNoc+Yoh+s0pve4DzlWuxEoHsh7AxxLAGjf8CmyuT+/FasXbgWaxWqZ3702KSmZFfxpqxcJREKIGi/V7CTT7n2p7YzVQ/9NZ4udLUo2qUmOVhVroFcyfbnoUl+rM8f4+oORNMk+zf6Grek7Zh7pcUmg2MH2NDg3A1owvsxxx82oVf4zJUJ5WDUSSSASQtR403404/Dx2e8Crwdc/9E4imvqqwuX60oeci04j9Qh7Te2zB1N3dwsdjXrwIBRs8mOrgVKDlgeBvf3QAyY3gPt1eQ4y26KfTEkKBQlgUgIUeMFWgeuKLNT4ZNexdOXi1akPp7rpusfP/DlgvHUystlc5vruG3Eu1ijosHzJ1jGgOcIqOqB6QPQXBrQfUN9WDUSSSASQlQLJdsSjGhtZNHvtoDaFARyiLWkGG3x2nEl07/7HfyWVYsmYnTaWfH3vtx992s4tXpw/waWcaBkgPoSMM0BdQOv90gyqGkWqyHd5qGuQUXzOF252y1UZbuGUJFAJISIaL6azZUsubPxeB4reiWQHKMt9sE8PCG/svaedHupJTh/fj7nZNcpW2Gw+yPHxSlb/vOH/biBJcueRudxMf+a2xl7+7N41Bpw7gbrRMACmivBNANUcT7vcUPDqEodGq3qdg2hIoFICBGx/DWbK3nMx+JSGLwlC7UabEUu32OIYm6SC5Sy92aKSrN4uOPrc6XOE43d9SmzVk1DrSi83uMBJg94LL96t2Mt2J4FXKDrB8ZXQKUvfJ5BTbHzRmW1nihLqtnJzZszC+vjFSgoT1TVlRgqQwKRECJilafZHIBdAUpcnpanZtzOnGIZcIEqFoQUhSlfz+eVje8BMGnAo0zv+WB+gMubB/b876O/HwyPgepCvQC9CuKj1Jy2FYlEZbSe8KcgQJcMQgWqW9adVFYQQkSsiiQZeH0dHx/YAVMUpq9/i1c2vodHpWL0kOf+CkIuyHvpryCkAsPTYHyiWBACSDSUCELkz7gq2miurABd3bLuZEYkhKhSgWyuF1zjq9gogIoLB1DL4r9inH9qj5u5K17gwb2rcGi03DP8NVZ07AeKFaxPgms7EAXRr4Oud6nnN4/VkGhQF+4vFVXRmYu/AF0ds+4kEAkhqkwgm+v+9oWKqq0Dq6f4flCw6V0Oli19itsPbMWqMzD4/nfZclk38GSCdQK4fwZVLYieCdpOpZ7fJEZTWD7oey8FVP3NXFLNTp45pCP3cEapgO0rC7DgftUpUQEkEAkhqoi/zfUpe3Mw6dSF53N87X0UlemEfslRxOjzD53GaFVsP2UPWmAy2S2sXjiRPr/vJtsQS/9Rs9ndohO4U8E6BjwnQNUoPz1b06LU85NNatbflB8Uytto7kIw1gH5vY6KBmxfr1cdgxBIIBJCVIGyNtf/76S9WEZZoHJdCst7X8gO23XK5jXTrbwSLNlsmD+ea1L3kx6TSJ+x8zjQqA24DoB1PCjnQN0WTLNBnVTq+Q2j1WzoVwegsKdRm1paLovXYnYqXis1FOVtD6hoNlxB47qihVqr4/mhAhKIhBAhV9bmekWCEJRe2rqugZHdg/LPEX1zMq+wIGm5XjMng6/mjqL9qRSOJTSk97gFHE5qCs5tYH0CyAPtdRD9DqhMpZ5fMDMBSi0xBjpr8bUHVHRPKRzN8kJFsuaEECHnb3PdUMEEL4MaRrQ2cufWs7RafopWy//krq/PAjC1UyxR6vKnRzc/e4Kd799D+1MpHKzXgq4PL80PQvYVYH0YyAPdrRA9y2sQamBUFQYaX7Oamzdnkmr2nz7haw+oumXDBUpmREKIkPO3ud4uXsumNLvXx5rGaEj1sWd0dT09Y749V+x80MYTdjadOEOUJr/pXXm0O5XCV3NG0fB8Bvsat6Pf6LlkmuIh7z2wz8u/KGp8/v98nAHS/BX8Us1Otv9Z+mcCOJ7rZtCWTL8zo/LuKVV3EoiEECHnb3Md4H9+lrBSzU76b8woFnCiVLDrtANvhawVyh+EuqQeYNO8MdS2nmfbJVcycORMzFH6v1o4rAM0YHwO9Lf5fZ00i4cpe3P4LdtFhp/1xrKqHxTsAU3acRKLxlTt94DKIoFICBFyZW2ul7nxrip+aqgCWz8+9Ty0hzUL/0mMw8bav93I0Hvfwq515qdnu3YDRoh+G3TXB/R6JWvi+VLWGaKmsTpeutRJq1alkyFqGglEQogq4W9zvehjqWYnk7/LYW+GA4tTQQGfvYQq69YDW1m+5Emi3E6WXHELDwx7CbcqC3LHgucQqBIhejZo/xbwawYShKDm7vdUhAQiIUTESDU76bP+DOnet1eCasTeL1jw2bNoFA8zug1n4qDJKMqR/CCknAJ1UzDNBXXjoN+7Ju/3VIQEIiFElfLXV+iPHGeVBKGJ2xfzztrpADzfdzwv9B0P7h/A8k/gPGg65FdLUCcE5X7JJjXtE3Tkuso+Q3QxkkAkhKgy3sr3fH7EVnUDUBRe3PQ+z2ydC8AjgyYzo/s94NwC1kmAE7Q98+vGqYxBuWWTGE1hhQXhnQQiIUSVKW9bh2BSeTzM+OIVHtq5HJdaw8ihL7KkyyCwL4a8/NkR+jvBMAVUwdm/qc5ld6pS0APR22+/zfr16zl8+DB6vZ4rrriC5557jrZt2wb7VkKICFdyGe6o2Xc17VDSup18tHwqd//wJXaNjqH3vcXav90IttfAsTT/IsNjoH+gUn2CikoyqCUIBSjogWjnzp2MHDmSTp06oSgKr7zyCoMGDWLv3r0kJARnvVUIEfm8LcOZtMH5kC8PgyOPFYsf4+aDOzBHRTNw5Ptsu6Qj2J7IX5JDC8aXQT8gqPe9oWGUBKEABT0QrV69utjXc+fOpUmTJnz33Xf069cv2LcTQkQgX5W2LS4FNRCibOxSYvNyWbfgIW74Yx+Z0bXoN3oO+xo3Acuo/OQEYsD0Hmiv9vp8nSq/AWtZ8zitqnjrcsmKK5+Q7xHl5ubi8XiIj48P9a2EECEUSEO7guv8VdquqiBUJzeLzXPH0DntICdr1aX32Pn8VjcaLPeA5wio6v3VwqG1z9e4tq6OP8wun23GDWro0SiKCe1MLPrdViMqYYeDKjs7O4hnlEsbMWIEf/zxB9u3b0ej8b4BmJKSEsohCCEq6aRNxUO/RpGWd6FOcrLBw8x2dhoZi3+EPHNIx+aMwD6Ea2vdZLnU5PdbDZ7kc6fYOmcUbc4c5XCdxvQa9yGptc6DZSwoZ0F9SX4QUjfw8yoK19d2821W6b/Xa2s9dElwM7aJq/DnP2lTMee4lgy7mqQoT7HHLjatWrUq1/UhnRE9/fTTfPfdd2zevNlnEILyDzoSpKSkVMtxg4w9XKrz2J/58lixIASQlqdm2bnazL+8eLWE3MMZFDRzK0vDGB2tdGr+k+EKuO13WVqdOcbXH4ykSfZp9jdsTd8x80g3/g65EwEraK4E0wxQxZXxSir+a/b+EdmujoFP+10ovZNqdvJosf0wDYfyDJVOVqjOvzPlEbI2EFOmTGHVqlWsW7eOZs2aheo2QogqkGH3/lFRsl5aqtkZUHfVAr9ke9gbxCDUIe03dr5/D02yT7OrWQdumLCIdMOu/GZ2WEHXD0zzAghC+c776NZQsjyPv0Z2omwhmRFNmjSJ1atX8+WXX9K6te/1VyFE9ZAU5QFKr2oU/UD2tzdk/KstQygXqrr+8QNfLhhPrbxcNre5jtvuewcrH4NtRv4F+gfA8CioKvf3t7dEBF/9lo6ZXYUdWv3tq13sgh6InnjiCT777DM+/vhj4uPjSU9PB8BkMhETExPs2wkhQqBkYsKgum4O5RlKtWoY0drIqB1ZHDW7OHjOhdVLi241YAvxGdZ+B79l1aKJGJ12Vvy9L3cPfxmnazo4VgCq/EOqUcMrfZ8kg8rrcluczvse18FzLvZlXJhWfZ/hkLNFXgQ9EC1YsACAgQMHFvv+pEmTmDJlSrBvJ4QIMm/nf/YY9My9oVaxzLCbknXc8XUWljJym0OdJTfsxw0sWfY0Oo+LeVffzrjbn8CT9zi4dgBRED0ddL2Ccq8bGhpKBZFUs5MDmaX3xIya/HT1osrqQ3SxCnogys7ODvZLCiGqkLf9jrQ8NSO2Z3NDwyhmdo0H4No1GWUGoVAbu+tTZq2ahlpReL3HA0z+x31gGwXun0FVK7+lt7ZjUO7l62zQtB/NXtO7DRrvM8Gy+hBdjKTWnBCiGF/7HRl5Hj4/YmPP6Tza19aX+mu/SikKU76ezysb3wNg0oBHmX5Db7DeDZ4ToGqU38JB07xSt1EB7WtruTRe53N/x9f7pVUXb+ZXQPoQlSaBSIhqLNBDpuXRoIwPyjSrgsVVBb0afFEUpq9/iye3fYRHpWLs7c8yv0sbsAwH5Rxo2uXPhNSV72yqAH+cd7O0R22f76uv9+vKJD2/ZbtK7atJxYXSJBAJUU1528sJxmb41E6xfJ/h8FslO1xLcmqPm7krXuDBvatwaLTcM/w1VvwtCiz3A3mg7Zrf1ltlCto9LS7F776Ot/ereayGV6+qBeC/BboAJBAJUW35O7tSmc3wprE61vRNZMreHDadsHtNuXZ4QK8OXQtvb/QuB8uWPsXtB7Zi1RkYfP+7bGnxJ1inAR7QDQbjs6AK/ge9v32dgvfLV8CRxISySSASoprytTfh60OzvMt4v2X7P2halUHIZLeweuFE+vy+m2xDLP1HzWJ3w39D3vz8C6ImQNS4oLVwKKmsfZ2msToJOJUggUiIasrX3oS3D83yLuOFs4FdSQmWbDbMH881qftJj0mkz5hZHKj9CdjXARowPgf620J2f40KbkqW5bRQClmJHyFEaE3tFEvz2OJBx1+KcVklaFLNTkbtyGLApgy2/xnGZIQi6udksGPWCK5J3c+xhIZ0/eccDiS8B851gDE/KSEIQchfmyS3AiO/Pc/AjWdINfuo+SMqRWZEQlRTZe1NFFXWMp63GVO4NT97gq1zRtEy8wQH67Wgz+jXOKn7F7h+B1UimD7Iz5ALAgX4R+MozE6FH846vVaI2JGe/x5JZYTgk0AkRDUW6N6Er2W81Fw3AzZlcDzXXWaxUo0qf3ZQFdqdSuGrOaNoeD6DfY3b0e/ByWTyMHhOg7pZ/hkhdXLQ7udWwKRT80mv2jT5+E+f10llhNCQpTkhLgLelvG0Kjie62bnaUeZQcig9nBZfNUcxOySeoBvZ95Lw/MZbLvkSnqOfohMZQIop0HTAUwfBzUIFSiYHcZH+f9YlMoIwSeBSIgariBbLtGgpkmMhivqaGkSo6E8hRHyPGpSskP/Adzz0B6+mf0Ata3nWfu3G+k34jbM7oeB86DtBaYPQZ0QknsXJHl80LWW3z0jqYwQfLI0J0QN5m3vR6PSUNeoLlffIAB7iJflbj2wleVLniTK7WTJFbfwwK2tcDsn5z+ovwsMk0EVmiBg0qoKkzyua2Bkbd/ajPo2m1NWT7EUdqmMEBoSiISowXxly+WFs06cFyP2fsGCz55Fo3iY0fUuJt6kRnG+lf+g4XHQ3x+yM0ImLazolVAsAeG6BkYODjUWzialMkJoSSASogbzlS2XmVeFp1HLMHH7Yt5ZOx2A5/uM5oVuR8G1FdCC8WXQDwjZvU1aFSt6JXBdA6PXx+WgatWQQCRENRVIpQRf2XKOSJgQKQovbnqfZ7bOBeCRgY8w44p/g/tHIAZMM0B7VUiHYHEpLPrd5jMQiaohgUiIaijQSgneCnKqCX2zurKoPB5mfPEKD+1cjkutYeQdj7Kk7WpwHwFVPTDNAU3roN5Tq8JrgoZkwYWfZM0JUQ0FUimhQJtaWpIMamrrVRg14Q9CWreTpcsm89DO5dg1Om6/93GWXLYIPEdA3QpiPgl6EAJI8JGWXZAFV7SyxKgdWVJFoQrJjEiIaibV7OSbk3leHztmdhW7LtKqJRgceaxY/Bg3H9yBOSqagfeNZVvDmaBYQdMFTO+BKi4k976ijo7/5XjvDxSqlhoiMBKIhKhGCj4ws3zkUqfbLsx3IqlwKUBsXi7rFjzEDX/sIzO6Fv0euJN9dWYALtD9Iz8xQaUPyb3VwEN/M5Eco/WaBTdqR1ZIWmqIwEggEqIambI3x29wyXV6SDU7aRqr85kxFw51crPYPHcMndMOcjKuLr0f6M1v8XPyH4waCVETQRW6nQIPMG5nDutvSvQaWMrbUkMEl+wRCVFN5C/J+a+KnWVXuGr1GQZtzuBQdmTscSSfO8W/37+XzmkHOZzYmOtGd+a3+GWACgz/AsNjIQ1CBY7nuhm0JdPr3k95WmqI4JNAJEQ1Me1HM/YAMg3yPLD9lIOMvPDnaLc6c4xdM+6mzZmj7G/Qiq4PJpMaswmIguh3IequKh2Pr4SO8rTUEMEnS3NCRLCiZ4UOZbvKfkIE6ZD2G1vmjqZubha7mv2NAXe5ydbvAVWt/D5C2o5hGdf2P+2Fy5cFytNSQwSfBCIhIlQkZr0FqusfP/DlgvHUystl86WduW3Iaazak6BK/uuMUPOwjS0jz+O1r5BUUQgfWZoTIkJFWtZboPod/Jav5o6iVl4uKy6/ilvu+CM/CGnaQcyysAahAr6W6ER4SCASIkL5yuRKMqjoVl9PA2NoioBWxrAfN7D2w39idNqZ1+Va7hz0X5yabNB2A9NHoK4T7iEWkoy4yCGBSIgI5SuT64aGBmZ2jadDoj6i1tbH7vqUZR9PQudx8Xr3axjTbw8etR10t0H0+6AyhXuIxUhGXOSIpN9jIUQR3urENY/VcFOyjmvXZGCJlFYOisKUr+fzysb3AJh005VMv3pP/mNREyBqXMhaOPiiAuob1TQyqYl22zjiiCLNciHlUDLiIosEIiEilLdMrhGtjdzxdRaWSEmgUxSmr3+LJ7d9hEelYuwt7ZnfcR+gAePzoB8cnmEBXRtEMb97bVJSUtDXbyQZcRFMApEQEaxkJteoHZEThNQeN3NXvMCDe1fh0Gi557ZmrGh7ADBC9Dug6xbW8RWtu1fyfSwocOqvhYaoOhKIhIgg/noMpZqdfJPmvdhpVdO7HCxb+hS3H9iKVRfF4GF12NLyMKgSwfRBfoZcmB085/JaRUEKnEYeCURCRAh/H5BpuS5u35qFLQISvUx2C6sXTqTP77vJNpjoPzyK3Y1Pgrp5/hkhdXLIx6ADyipgZHEpTP4uB8WuI/dwRmFg99dCQ84RhUdIAtGuXbt4//332b9/P6dOnWLWrFkMHz48FLcSosbw9QHZ+8uznM3zhL2PEECCJZsN88dzTep+0mPi6HO3iwP1s0DTIb9agjq+SsYRaBW9bafs5Ll1gAPID+yJBu/JwpLOHT4hSd+2WCy0bduW1157DaNRWvAKEQhf54bOREgQqp+TwY5ZI7gmdT/HEhLoer+VA/WtoO0Fpg+rLAiVR16Jt/So2c0Zm/d3U9K5wyckM6I+ffrQp08fAMaPHx+KWwhR4/g6NxQJmp89wdY5o2iZeYKDdRPpMzyTk7UA/XAwTAJV5I09So3XIrF1DSo0Ko3XBnkiPGSPSIhK8JdcUPLxGLeO1+s7iyUfFDwWp1NhdXp8fniGU7tTKXw1ZxQNz2ewr1Ft+t2VSaYJMDwB+hEhPyMUpQIffQCLqaVX0SfZUJiibXF62HiidNuM5nE6Pvxrr0jSuSODBCIhKshbcsG6YzZ6Nori1atqkZbrKnHmR8ehv4pt5j92LnIOpfrQJfUAm+aNobb1PNuaJzBwaBZmgxaMr4C+f5WMwaRTYXeU/T5dW1dfKkX7t+xMrzMfKXAaWVTZ2dkh/ZfQqFEjpk+f7jdZISUlJZRDECIknjmkY3OG97+i6+g8mJ1g97INe32Ck305WmyeyKsVV1TPQ3tYs/CfxDhsrG1Ti6G35WDXxYLpPdBeVWXjqK31kOXyv51dT+9hbns7jYzFP85O2lTMOa4lw6EmSe9hbBNXqWtE8LVq1apc10fEjKi8g44EKSkp1XLcIGMPltzDGRRkY5V01un7g3NPtg5nhH8W3npgK8uXPEmU28mSv8fwwC05uLX1/2rhUHXvv1YFreJ17D1bOpFDDXSqo6V5nK5wf6fkMukNsToaGSPnd6a8Iun3PZQiIhAJUR1VNLkg0oPQiL1fsOCzZ9EoHmZcZWBi31wUbev8g6rq+lU6FpcCR3O9b5p5yN/vmd+9tt8zWCLyhSR9Ozc3lwMHDnDgwAE8Hg9paWkcOHCAEydOhOJ2QoTF1E6xJEdH9vJaeU3cvpiPPp2KRvHwfHctj9yUh6LrAjFLqjwIFcjyk6lQcPbH3yFVEflCEoh++uknrr/+eq6//npsNhuvvvoq119/Pa+88koobidE+PjJGPNxbjIyKQovbpzBO2unA/DITSpeuNGVn5Bgmguq8KU2e/zMIAvO/vg6gyWHVKuHkCzNdevWjezs7FC8tBARY9qP5mKtBYpKjlYx9/oEFv1u47TVTWqum+O5kfmhqPJ4mPHFKzy0czkutYqRtygs6aBA1IMQ9QiowhtRfWWzG9QU7g35WiaVQ6rVg+wRCVFBvv4KVwNzr0/gugZGrmuQX1kk1eyk/5enScuLrGmS1u1k0Sf/YviPG7Br1Ay93cPay1RgeBqi7gr38HwyqGFVn9qFZ3989W6a2ikWx+nMcA1TBEgCkRAV5OuvcA+w6HdbYRCC/DYEM9vZWXauNqetbn7NcpIVwNmYUDI48vh88WMMOLgDs17DwGFutrWIgug3QNczrGPzJ0oNewfXLXYA1VvvpoLzQimnwzhYERAJREKUQ9FqCLFaFXo1OLysHZ22uguvPWp2ccbmIVbR07YeTO4Qw7idOWQ5wrdUF5uXy/oFE+j+x/dkGjX0G+5mX+P4/MKl2g5hG1cg4vRqr1UQ5JBq9SWBSIgAeUsRNvrYgojVqei/MYM0a9FZj4Zfj9j44qiNcBZUqJObxea5Y+icdpCTsRp63+Pmt3rJ+UkJmmbhG1iArqgjpXhqGglEQgTIW4qwzQ0mLcW6pjaP1XDW6ioRhC4IZxBKPneKrXNG0ebMUQ7XVtPrHjepddpB9GxQ1wnfwAKUHK3itatrhXsYIsgkEAkRIF/JCZfF55/uL9ibGNHayM1bsqp4dGVrdeYYX38wkibZp9lfT0Xfuz2kJ1wP0W+CyhTu4QGgAnzF6SYxGtbfJF1UayIJREIEyFdyQsHp/gKjdmT5PfsSDh3SfmPL3NHUzc1iV2MYcJdCdtxtYHwWVJHzMaCQn3VYctst2aSWIFSDRc5voBARqiDp4Mh5p9dluJJ9bHzNnMKl6x8/8OWC8dTKy2VzS7htKFhjJ0DUuJC3cPDGpIUojcpnxQQP0MCowqXkz4+uTNLz6lW1JAjVYBKIhPDDW4KCSauibYKWZrFar31sIqnBXb+D37Lqo4kYXXZWtIW7B6txxr4I+lvDNiaLC6LL+OS5pJaO9f2SqmZAIuwkEAnhh7cEBYtL4ZjZRbPY/H8+JZvj3ZSsY+URm8+9jqoy7McNLFk2BZ3HzbxOMG6AAU/Me6DrGuaRgbuMN0cqIlxcJBAJ4UOq2cn2P0t3+ATIyFP4/IiNPel2UJRiGXKrIiAIjd31KbNWTUOtKLx+HUzuXRti5oKmbZhHls/qVDBq8rMOSzJpkbbdF5nIqjciRIQoWJLLyPPftzvN4imVph3WTt+KwpSt8/hg5UuoFYVJvWBy3+YQ+2nEBCGAPA9claTDpC2+R2XSqljRq7bsB11kZEYkLholl9CK7u+UfMzi9JRakot4isL09W/x5LaP8ABjB8D8qzrkV0tQx4d5cKW5UbF7UJLXsjzi4iKBSFwUymqcVvKx6tZlSO1xM3fFCzy4dxUONdwzGFZ06AXRr4PKEO7heVU/WiNleQQggUhcJMpqnFbyMV97PCUPXBo1kOf2fX1V0LscLFv6FLcf2IpVC4OHwpZ2d4PhKVBF5qZ/sklNrsPDgE0ZpWan4uIjgUhcFPw1TitPECl5rbfN9qpksltYvfAR+vy+h+wo6D8cdrd+EvT3heWMUEk6wFnka4Marq6n53COk01pFxJBCmanEowuTpKsIC4K/hqnRdK5n/JIsGSz9YOR9Pl9D+km6H6/lt2XvgFRIyIiCAEkGtX0S46iW309Q1oY2Tu4LklGTakED2nrfXGTGZG4KPhrnAaUeizS1c/J4Ks5D9D+9BGO1YLe95o43GQmaLuEe2jFnLZ5iNGrWd77wj6QtPUWJcmMSFwUChqnDWlhLPzrvGApqOCxfzSOwlAN/kU0P3uCne/fSfvTRzhYB7qOTOJw008iLggVKBlgpK23KElmROKi4S9Dq2msjk961WHXKRt3fJ1VrJ5cJGl3KoWv5txPw/Pn2NcQ+t3Tksy680FdL9xD81qsFEoHmLJmp+LiI4FIVGv+zgZVxMxfLBEbhLqkHmDT3JHUtlnZ1gwGDu+MOXEWqCLjA9xbEPIWYPy19RYXJwlEotrydzaovB9qqWYnk7/LYXOa95I+4dbz0B7WLBxPjMPB2kth6J39sMe9Aip9uIfmVZJBxQ0NDT4DjJwfEkVJIBLVlr+zQf4+5ErOoka0NvLQrpyITVa4df9XLF/6OFFuD0suhwfueAB39KOgitwNrTbxEmhE4CQQiWrLV/bVVyfyGLUjy2sJn6NmF7+dc2Ep0q979VFbmdWgw2XE3pUs+Ow5NArM6AITB/0LxXhXuIdVJkk8EOUhgUhUW76yr3Kc+ZWx/ZXwKSpSg9DE7fN5Z+27ADzfXcML/3gH9D3DO6gAmLQworUx3MMQ1YgEIlFtecu+KspfCZ+Ipii8uHE6z3y9BIBHbjIyo+eHoP17mAcWGIsLHtqVw5q+WklAEAGJ3EVmIcpQ9GxQLZ33SgKnrW6OmiM0Dc4LlcfD+ysn88zXS3Cp4L5bazOj18qICULaAAs2SKUEUR4SiES1VpB91aex9wrT9aM1nLGFtUNQwLRuJ0s/HsNDu7/EroHbhzVmSdcvQNMs3EMDoEmMhrV9azOkhZHYANZSpFKCCJQEIlEjTO0US/PY4ntGBWdYkgyRUXfNH4Mjjy8WDGf4T7sx66Hfve1Ze+VqUNcJ99AK1TWouK6Bkfnda3NTk7L3gCRhQQRKApGoEfyV8GkRF9n7FHE2M5vn3MqA//1KphF6PtCDbe0/BlV0uIdWzJm8C1kd3gJ/UVIpQZSHJCuIastbVYWiZ1dSzU5G7cjiULYTjSoys+PqmM+yec5gOv+ZyclY6D3yLn5r8nTEVM8uqp7xwt+tJasjxOpUKArkuhSplCDKTQKRqJa8VVXYk26nfYIOs0shVqvi53NO0iyRuz+UnHWcrR/cTpuzFg4nQK/Rj5Na/4FwD8unZiU2hqQ6gggWCUSiWpqyt3QlhDSLhzRLZJboKalV+q98/cHdNMlxsL+eir6jXye9dv+wjSdeD61jNRy1KLg8HvLcxZv+JRs8stQmQiZkgWjBggXMmDGD9PR02rRpw6uvvsq1114bqtuJi0iq2ck3J6tHwPGmw/F/s2XeBOpa3OxqrGXAqPlkx4a3hUNClIb5NyaWqkRRUJR0eEKWLLWJkAlJssLq1auZPHkyjz/+ON9++y1dunRhyJAhnDhxIhS3ExeZaT+asUfuiptfXVPWsH32OOpa3Gy+xEifcavCHoSg9LmfgmW39f2SmN+9No2MEbjBJmqMkASiWbNmcdddd3Hfffdx6aWX8sYbb1CvXj0WLlwYituJi4yvGnORrt/P8/lq3r+oZVdY0S6eW0Ztwmq8JNzDKiTnfkS4BD0QORwO/vvf/9KjR49i3+/Rowd79+4N9u3ERchXjbmSjBF0jGXYf6axdtG7GF0w74pG3Hn/Vzj1SeEeVjFy7keES9D3iDIzM3G73SQlFf9HlpSUxJkzZ7w+JyUlJdjDqBLVddxQPcd+0qZiznEdJ6y5GNVqbB7vKc61tB6iNQpZDjUQ5jRoRWHst48wa803qIHXr2/L5IHLQR1ZeULJBg/DE7JIScn0eU11/J0pIGOvWq1atSrX9SH716AqcQ5CUZRS3ytQ3kFHgpSUlGo5bqieY081O3m0RLq2r9bUZpeanEgoL+dxMWXLvbzy1X4AJt10PdP7zI6YM0I6IFavQqNW0b5OFM2b1/eZkFAdf2cKyNgjX9CX5hITE9FoNKVmP2fPni01SxIiUN6a4PnKV4iIPAaPjelf3MIrX+3HA4wefDvT+34QMUEIwAlkORQy8jxsSrPTf2MGqWZnuIclLkJBD0R6vZ4OHTqwbdu2Yt/ftm0bV111VbBvJy4S1SlBQe3KZP4nfXhyZyoONdw5fBzzu70Q7mGVKc2qMPm7nHAPQ1yEQrI0N2HCBMaMGUPnzp256qqrWLhwIadPn+b+++8Pxe1ENeCtHE95zqXEBtp/IMz0jiMsWzyU2w9asepg8H3PsaXdHeEeVsC+PyszIlH1QhKIBg8eTFZWFm+88Qbp6elcdtllrFixgiZNmoTidiLCeSvHU9A9NdBgFEErWj6ZrD+weuFI+vzhJNugpv+D77K7ZeR3VC1OzguJqheyZIUHH3yQBx98MFQvL6oRb/s7BQcoA61Vlm6L7KW5hJzNbFjwBNekKaSbdPQZu5ADyZ3CPSyfjJriJXwKXJmkr/rBiIuetIEQIedrf6c8Bygz8iL3L/X6ZxezY/bjXJOmcCzeSNeHP4/oINQ8VsPK3rVJNhX/559sUvPqVbXCNCpxMYuswwyiRvJ1ADU1102q2el1ea7knlK8XsXxUA+0vBSF5qdeY+uCj2l5Dg7WjafP2JWcTGgQ7pEVowG61dfhRlWsRcOGftpi9eSkdYMIFwlEIuSmdorl+wxHqeW547luBm3JLLVX5G1PSVPGHlHBh+3201W02a44aXfsCb5a+DUNc2FfcgP6jfmczJiEqrl/OXSso2VNv7qlvi9tHESkkKU5EXIFTdSaxJSeGZUstplqdnLz5sxSQauspna1o2BXlQUhC10O3ce38/KD0LYWreg5YU1EBiGA5hHeoVYICUSiSjSN1XkNRHBhr6hgJnQ8t/yJCRn2/AOaIec5S88DQ/hm4X5q58Hatp3pN/YzzIaYqrh7uUnLblEdSCASVcbXXlFBsU1v2XURxX2UW/8zmA1LU4lxwpLOPbjtgYXYdVHhHlkp8ToY0sJYrhR5IcJFApGoMlM7xdI8tngwMmlhRGsjEOHVE1w/MWLnED5fkUmUG2Z0vY0Rd72HWxOZ26zX1o9ifvfaEoREtSCBSFSZprE6Zl5XC1ORKgkWFzy0K4dUszPg9g5Vzvk1E7++j4/W2NAo8HyfUTwy+AUUdeT+8zE7IzfdXYiSIvPPOVFjLfrdhsVV/EOyIGFhaqdY1h+zkRcRVUv/kreMFze9wjPf5n/5yKCnmNH9vvCOKQAxWhWjdmRVuKSSEFVJApGoUmUdbo2PUnPaFgGRSPGgsr7NjLUf8dA+cKlVjBw6jSVdBoV7ZGVSAz9lOou9j+UtqSREVYrctQVRI/lLWJiyNydCgpADbe5TLP0sPwjZNRpuH/FetQhCkN8Go+T7WDJNXohIIoFIBFWq2cmoHVkM2JTBqB1ZpfrbeEtYaB6rYURrI1+ftFflUL1TzmPIHsUXSzcx/Gcw66PoN2Yea9tXt+KlpZWnpJIQVUmW5kTQBFJlu+Bwa8nSMtN+NOMI92TIc5q4zFGsW3aE7qmQGR1Dv9Hz2df08jAPzDeTVlVqz82X+pGaDCIuejIjEkHjr8p2gaI15IrWNwt76rb7d+qkD+P/PsoPQifjEun2z2URGYSSDCq61dczpIWRFb0SSs0wk6NVpQqaysFWEclkRiSCxlcw2f6nnQGbMojVqvj5nJM0y4Wpz550O+0TdBw466iqYZbm2kvynw+xdYmVNplwOLERvcZ/RGrtRuEbkx83NDQUqxG3pm/p4qWAFDQV1YYEIlEpRWc4vkrzZOR5yDjtPdCkWTykWcK4N+T4klYnnubrJW6anIf9DVrRd+x80uOSwjcmP1RQambjq3ipFDQV1YUEIlFhvqpkl1WgNCIoCjgW0uHo22xZCnWtsKtZBwaMmk12dOT25KlvVMvMRtQ4EohEhXnbE6oeQcgNea/RNeUTvvwEatlhc5vruG3Eu1ijosM9Op+0KljQPT7cwxAi6CQQiQo7anaFewjlp+SBdRL9Dn7NqhVgdMGKv/fl7rtfw6mNzDbZGqBRjIYPutbiugbGSr9eyaaDsn8kwk0CkaiwM5Fw+LQ8PNlgncCw//6XJV+AzgPzrr6dcUOexaOO3NTmwS2MQdvvCSTFXoiqJunbosKSDGW0TY0knjSwDGfsd/9l2er8IPR6jwcYc8fzER2EDJrSyQmVEUiKvRBVTWZEosJaxOn44Ww1WJ5z/wq5Y5nybRav/F/+tyYNeJTpPR8M77gCcGODqFIzlcosrZVV60+IcJBAJCpsaqdYvs9wFPsLOzlaxSVxWn7NdpOZ5yHsi3fOf4NlItO35vHkbvCoVIy9/VnmX3tHuEdWpuaxGl67ungGn7eltY3H81jRKyGg/aOymhMKEQ6yNCcqrKBcz5AWxsKT/hv+kcSafnVJubMBl8WH+dfLsQp17njmr8sPQg6NljvveSPigpC6xAqnQQP9kqO87tt4W1qzuBTu+Lp0XT9vfNX6k6oLIpxkRiQqpehhylSzkyl7c9iX4cCtQLY9TLncigL22egts1m2Cm7/Daw6A4Pvf5ctl3ULz5j8UAO3tTAGVAXB19KaxZUfpMpKavBV608SFUQ4SSASFVZ0ryJOp+KHDDvpeWEelOIE24uYclez+jPocwSyDbH0HzWb3S06hXlw3qkoXQXB1z6Qvy62ge7z+KrEIES4SCASFeJtryLsFAtYHyPh/E42fKLimjSF9JhE+oydx4FGbcI9Op/qlMg+9JdiPbVTLBuP53mtuC37PKK6kkAkKsTbXkVYeTLAMp76OQf5aqma9mc8HEtoSO9xCzic1DTco/NJDUy7MrZYW2+L0+MzxXp+99qs6JXAHV9nYSmSsCj7PKI6k0AkKiTsbRuKch8FyxiaZ55k61INLc+5OVivBX3GzudkfP1wj84rnQoamDQ818nEtJ8sxQJPlI8cj4Klt+saGNk9qK7s84gaQwKRqBB/exVVyvUTWCfQ7nQOX32spaHZxb7G7eg3ei6ZMQnhHp1XzWM1hRlxo3ZklZr92H3kvBddepN9HlGTSPr2Ra6s1t6+eEsDrnLOr8Eyki4ncvh2UX4Q2nbJlfQcvzBig1CTGE2xtGxfM0tDibdWlt5ETSYzootYReqO7TplY9zOHLLtHkxaFUYV2MKRpW1fBnmv0vMPhTWfaYhxuFj7txsZeu9b2HVRYRhQYJrGaIq9t75mljc2iCJGr5alN3FRkEB0EfNXd8zbss+uUzYGbsmiIGHrvDMMEUjxQN7b4PiIWw/C8lVqotxullxxCw8Mewm3JrJ/pUtmtnmrTlFQUUECj7hYBH1pbtGiRQwYMIAmTZoQHx9PampqsG8hgqQ8dcdSzU6GfH0OL1nDVUdxgG0SOD5ixE9qPv9cRZTbw4xuwxlx58sRH4SSDR6v3VVLVqeQStjiYhP0f7lWq5UePXrwj3/8g6effjrYLy+CyNeyUIxWVSydeERrIw/tysEaziiknAfLw+Dex8Q9Ot7Zkr+X9Xzf8bzQdzyoIrcSuEGTv9Q2pl621wAjiQfiYhf0QDR+/HgAfvrpp2C/tAgyX0VLfz7nJM1yIXXL1wHKKuM5BZZx4E7hxW3RPPOtFYBHBk1mRvd7wjeuAJi0qsKCpCkp58I9HCEiUmSvZYiQ8lZ3zOL0sPGEvdh1YQ1C7t/BMhaVO50Zm+N46D/ncak1jBz6Iku6DArfuAJkcSks+t0WlM6qQtRUquzs7JB8yvz000/ceOON7N+/n6ZN/Z9sT0lJCcUQRAWMPRDFD+cj5YzQd2B5BK07l0VrazP8QBZ2jY6h973F2vY9wz26gHWu5WZOe3vZFwpRQ7Rq1apc1wc0I5o2bRpvvvmm32vWr19Pt24Vq2xc3kFHgpSUlGo5bvA/9hZ/ZvHDeVup75u0FCspE3KOL8H2LwxOF5+vrMOAQ2cxR0UzcOT7bGt1dRUOpPJaJMbQqlWTGvs7E+lk7JEvoEA0btw47rjDfw+X5OTkoAxIVA1f1Z2ndoplT7q92B5RsknNC51jeHi3OfTLdIoCjg8h7x3i8mDdp3XpfuwMmdG16Dd6DvuaXh7a+weZHEQVomwBBaLExEQSExNDPRZRRX44p+bx784Um+EUHGRNy3WRmVeixoyisOqovQqCkBvyXgXHcupYYPMn9eh8Mp2TterSe+x8fqt/SWjvX0EqoOg7Y9KqaJugpVmsVg6iChGAoCcrpKenk56ezuHDhwE4dOgQOTk5NG7cmISEyCy7cjFJNTt59Dc9thKx5qjZzeTvcvj2tB1biWNEaVaFdGuI9ziUPLA+Ba5vaJyt5atltWmTkc7hOo3pNe5DUms3Cu39A6RRgbtEPFbIL93TNEYjVRCEqICgH2hduHAh119/PaNGjQLgjjvu4Prrr2fjxo3BvpWogGk/mrF5vP/f/v1Zp899oMAq0FWQ5xxYRoLrG1qdNbFzURxtMs6wv2Fruv5zacQEoWSTmnYJ3v92q2dUUz9awylrfmWKQGv2CSFCMCOaMmUKU6ZMCfbLiiA5ct7fB2QY0rQ9J8AyFjzH6HC6DluWOqlryWJXsw4MGDWb7OhaVT+mvxg10KWOjoM5bkDh8to6FAUOZJWO1gfPudiXceG9LatmnxDiAqm+fZHJyPMTbJQqDkSuXyB3OHiO0fV4Y7YvslHXksPmNtfRZ+z8sAYhgJnXxXHc6iEjz0NGnsLGE3Z+PuckObp4FYf8jMLi711BzT4hRNkkEF1k6hp9/1+eUZVHXZzfgmUEKJn0+6MNXy05Q608Cyv+3pdbRs7EGhVdhYPxbtVRe6misGkWD5fU0tEkRkMtnYomMRqf7TC81ewTQpQmlRUuMs1jtXyfEeb9C8cqsL0AuBl2sBNLVh5A53Ex7+rbGTfkWTzqyDhQuy/D4fX736U7KEgszHG6MWm917krWWlbCOGdBKIaruR5oRGtjaw9asWhhKFIqKKAfRbYPwBg7E9dmbVuF2pF4fUeDzB5wGMRVry0ZGJ2vpLZ7RaXUurAr5wfEiJwEohqMF+N79qY3BzIreL/6xVn/izI+QUoKqZ8dyOvbPk/ACYNeJTpPR+s2vEE4Io6Ov6X4yr2/hk0kOdlxe2yeC3N43TSyE6ICpBAVIP5anynp4qXjBQLWB8F1y5Qopi+rStPfvsNHpWKsbc/y/xr/VftCAejBl67Oj9ZomhR2FyHh01ppTfTmsdJKwchKkoCUQ3mq/Gdgypc/vJkgGU8eA6iVuKZu6kjD/7nGxwaLfcMf40VHftV3VgCZNTAyt61C2c0RQNMqtnJ/0rMMmUZTojKkUBUg/lqfFdl3EfBMgaUk+g9ySz7oim3/7wNq87A4PvfZctlFSuSGwpJBhVt4nVlLqt5a50hy3BCVI4EohrMW+O7KuP6EawPgZKDydWW1Sui6fP7LrINsfQfNZvdLTpV/Zj8UgUcVKSjqhDBJYGohimZJTfzulqM25nD8dwqDEbOrfl143CQ4LiWDcvMXJP6PekxifQZO48DjdpU3VgClJHn4fMjtlIVEXxVKRdCBI8Eohok1eyk/8YM0qwXUo7XHrMRo6vCPSH7svwK2ijUz7uZrxb9RvvThzmW0JDe4xZwOMl/k8SqUjtKhUZVutJEQUWE+d1r+8w6lNI9QgSXVFaoQSZ/l1MsCAE4PJBlr4LSPYoHbG9C3iuAQnPLCHbO/4n2pw9zsF4Luj68NGKCEEDPRgYujfceTAoqIvjKOpTSPUIElwSiGuT7s2GqmKA4wPYUOD4CtLTLeZidczfQMjONfY3bcf1DSzgZXz88Y/OiIMvNVzJHQUUEX1mHUrpHiOCSQFSjlD3zCfoinXIeLKPBuQkw0eXsk3w7dxENz2ew7ZIr6Tl+IZkxkdOHqkmMpnBpbWqn2FJ14oqmYpcVqIQQwSGBqAa5Mklf5jV1DEEMRZ5TkHsPuPeBKomefz7ON/Pepbb1PGv/diP9Rs/FbIgJ3v2CoGmMpnB/pyAVe0gLI93q6xnSwlhs/6esQCWECA5JVqhm/GVxTWhnYkuavVQH0aKuTNLzn1M2zroq+TeI+xBYxoGSDuoW3PrH3Sz/+FWi3E6WXHELDwx7Cbcm8n69/pftZNSOrML3zV8qtpwZEqJqRN4nhfDJXxYXwEO7cvwGoWSTmlevqkXvddbKDcT1HVgeAXJB05kRv/ZlwWfT0CgeZnQbzsRBk1HUkTnZzshTvKZp+yJnhoQIPQlE1UhZWVxlHVw9a/Mwcsc5shyVCBKOL8H2L8AFur5M/E873ln7CgDP9x3PC33HR1gFbe+KpmkLIcJLAlE14i+LK5AE7TwPf/UiqkCgUBSwLwD7u/lf6+7hxe1Gntn6NgCPDJrMjO73lP91w+iYuXTLbyFE1ZNAVI2ELYtLceefD3J8CqhQ6Z9gxsY0Hto5D5daw8ihL7Kky6DQjiEEDp5zkWp2yp6PEGEWmQv5wit/WVzeHgsKxQbWiX8FIT3aqOksXXmQh3Yux67RcfuId8IehAwB/Nje5oAWlyKHU4WIABKIqhF/6cYFj/2jcVTwbug5B5aR4Po/UMVh0M/mi6VfMvzHDZijouk3Zg5r2/cM3v0qKEGvpoHR+3JjkkHNkBZG2iV4j1ZyOFWI8JOluWqmrHTjT3rVYdDmDLafclTuRu7jYB0LnlRQNSBO/TbrPnyL7n98T2Z0LfqNnsO+ppdX7h5BcsrmIdmkJjmaYiWOmsdeOLw6akcWv5yzlXquHE4VIvwkEFUjgVaCfvLvMfz7dJbfVG6/XD+DdQIomaC+lDrKa2ye+y86px3kZK269B47n9/qX1K5H6YSVJSuIZFm8dAwWk2/ZD25LqXUmR9vLTHkcKoQkUECUTVRnkrQi363VTwIOb8F62OADbTX0tg+ia/mTqTNmaMcrtOYXuM+JLV2o4r/IEHg60f70+ohSuPy+p7I4VQhIpcEomrC1xmiKXtzMOnUnLK6idWqUKlg5+kKLss5VoLtRcANultobX6ArXPG0CT7NPsbtqbvmHmkxyVV/ocJIX/ng+RwqhCRSQJRNeHrDNHXJ+xUcjforzNCs8D+Qf7XUWPokNGLLfMeoG5uFruadWDAqNlkR9eq7J2CRqsCl4+pkSQgCFG9SCCKcAX7Qoeyvbd4qHwQcoLteXCuAdRgeIauaS35csH91MrLZXOb67htxLtYo6Ire6egcimgUeF1CVISEISoXiQQRTBv+0JBpVjA+ii4dgFGiH6TfilqVi0ahdFpZ8Xf+3L33a/h1JZd1Tsc3AqYtGApUiBBEhCEqH4kEEUwb/tCQePJyK+e7fkNVLUhehbDDpxgybKn0XlczLv6dsYNeRaPOrJnF5fFa2kep5MEBCGqMQlEVSDQtOuSfO0LVZr7CFjGgPInqJtA9BzGfreHWaumoVYUXu/xAJMHPBbW4qUlU7RLznwKNI+TBAQhqjsJRCFWnrTros/J3xcKQVFO1w9gfSi/s6qmPRhnMeX/VvHKxvcAmDTgUab3fDD49w1AUhS0SdBTP1rDiNZGFv1uK5zpjGht5KFdOXIOSIgaSAJRiPlr3eDtL/lUs5P+m86SZvEEfzDOr8A6CXCA9gYwvsH0L2fz5LaP8KhUjL39WeZfe0fw7xugK+tG8UmvOoVfX9fAWOzxNX21TNpxEovGJMtwQtQgQQ1E586d45VXXmH79u2cOHGCxMRE+vbty9SpU6ld++JcPvHXusGbKXtzvAYhb9UEysX+MeS9lv8q+qGo9ZOYu+JlHty7CodGyz3DX2NFx36VuUOlmZ3+f8KmsTpeutRJq1aRfZZJCFE+QS16eurUKU6dOsULL7zA7t27mTt3Lrt372bkyJHBvE21Ut7WDfsyvCdkVzgIKR6wvQF5r+a/StRE9NpJfLZkEg/uXYVVZ+CWkTPDHoRA0q6FuFgFdUbUtm1bPv7448KvW7RowYsvvsjQoUM5f/48cXFxwbxdtVBWjbOSiQwVLs3jjeIA29Pg3ARowfgSJqUnqxc8RJ/fd5NtiKX/qNnsbtEpiDetmIL3pKKJHUKI6ivke0Rms5moqCiioyPrQGRV8VfjzFsigyFYc1QlByyPgHsfYALTeyTYL2PD/FFck7qf9JhE+oydx4FGbYJ0w/KpZ4DOSVGYnRcKlALlTuwQQlR/quzs7GD+DV5MdnY2PXr0oFevXkyfPt3ndSkpKaEaQkR75pCOzRmlP2BVKCgVaeddwHMKLGPBcxhUdcH0AfVzE/lq7ijan0rhWEJDeo9bwOGkppUYffmpUYjVKPy9lofHmjtpZMz/1TtpUzHnuJb/nNOQ5SodiW9KcvLSpd4rSwghIk+rVq3KdX1AM6Jp06bx5ptv+r1m/fr1dOvWrfBri8XCnXfeSYMGDXjxxRf9Pre8g44EKSkplR537uEMvBXp+VuCliNmDxZfxdT8cR/KD0LKGVC3BNMcmme52TrnHlpmnuBgvRb0GTufk/H1KzX28moSo2H9TaVnNqlmJ4+WUT3CojEVJigE430PFxl7eMjYI19AgWjcuHHccYf/tN7k5OTC/87NzWXIkCEAfPbZZxgMhkoMsebylcjQJkHPxz1j6fVlBhl55QhGru/A8jBgAc0VYJpBu9Nn+GrOKBqez2Bf43b0Gz2XzJiE4PwAAdKroV2891+1QKpHSBKDEDVbQIEoMTGRxMTEgF7QbDYzZMgQFEVh5cqVxMTEVGqANU3Rzfg4nYrkaFWprqIFe0hX1NGzKc0e2As71oNtKuAC3U1gfIUuxw+xad4YalvPs+2SKxk4ciZmQ+j//1BzoRKCB3B4YFOanf9tySy131NW9Qg5tCpEzRfUZAWz2czgwYMxm80sW7YMq9WK1WoFICEhAb0+MotnVpS/DC9vj0Hpzfhkk++uogFV2FEUsC8A+7v5X+vvA8MT9Px9L2sW/pMYh421f7uRofe+hV0XFcwfv5iG0WpaxmkLf4ZpP5r5/Ejx1tzeDvL6mhUmGVTc0NAgWXNCXASCGoj++9//sm/fPgA6d+5c7LGSe0jV3UmbqtTeRkGGF3jP/mpqUpdahkqzeLimnprlvS98OBcEsTIb3CluyHsZHJ8BKjA8BVH3cuuBrSxf8iRRbidLrriFB4a9hFsT2gRJt9vDzK7xhUEj0IO8vtLbJVNOiItHUD+dunXrRnZ2djBfMmLNOa71Wbqn4L9LPpbqYy+k6IdzwK0fFBtYnwTXNkAP0a+Bri8j9n7Bgs+eRaN4mNFtOBMHTUZRB/XcMhqg5OjS7TD5uxyW984v0RPoQV5p4S2EkFpzFZRh9/7hftrq9lkFwVf1uKIfzgG1fvBkgXUCuA+AKg6iZ4K2MxO3L+adtflp8s/3Hc8LfceHpIK2r9F9f/ZCinVZB3mLkhbeQlzcJBBVUFKUh/y5QXHlzfBSA0fOOxm1I4upnWI5ai6j4rb7OFjHgOc4qBqCaQ6oW/Dixhk8s3UuAI8MmsyM7veUaxzBcSEEy0xHCBEoCUQVNLaJi0N5Bp9/8ZecDZi0Kq/ngjzAD2dd/HDWxfcZDvL8nR1y/QzW8aBkgboNmOagIpEZq1/moZ3Lcak1jBz6Iku6DArWj1kuVyYVT0aRmY4QIhASiCqokVHx+xd/yce89dMp6ajZTZyvCYNzB1gfB2ygvRai30Xr0bPok8kM/3EDdo2Oofe9xdr2PYP/wwYg2aTm1atqheXeQojqTQJRJfj7i9/bY2v6aguD0/+yXWTkld41snuLU47PwfYi4AHdQDC+gMHp5vPFjzDg4A7MUdEMHPk+21pdHYSfqvx8VU0QQohASCCqQkWD06gdWaXO2QCYdCrs9r+W5xQF7DPBPif/66ixEPUQcXm5rPvwIbr/8T2Z0bXoN3oO+5peXlU/RjEGDRKEhBCVIoEoTKZ2imXP6bxiVRXqRYFa/VcLPMUJtufAuRZQg/EZ0N9Bndwsts4bQ4cTBzlZqy69x87nt/qXBH18ejXE6FRoUMhx5ldH8ObGBlEShIQQlRLcAyaifEqkVqfb4ZTNA4olPynBuRYwQvT7oL+Dxuf+5N/v30uHEwc5mtSY6x7+OChByFuCt8MDWXaFGL2GL/rU5h+No0q1qGgeq+G1q2VfSAhROTIjCpNpP5q9tgTHk/FXC4f/gao2RM8GbXtanznK1g8epEn2afY3bE3fMfNIj6t8y+xkkxqny0O6j5J2R81uFv1u45NedQorPkg6thAimCQQhYnXEjjuP/5q4fAnqJtA9FzQNKHjiYNsnjeGurlZ7GrWgQGjZpMdHZyZiM2lkFlGXdWCyg+Sji2ECAUJRFWoaCHU47klApHrB7A+BMp50FwO0bNAXZuuf/zAlwvGUysvl81truO2Ee9ijQpet9tMe9ltJqQNgxAilCQQVZFUs5P+GzOKJScUcn4F1kmAA7Q3QvQboDLS7+C3rFo0EaPTzoq/9+Xuu1/Dqa3aCubShkEIEWoSiKrI5O9yvAch+1LIex1QQD8UDE+DSsuwHzewZNnT6Dwu5l19O+OGPItHXTUzE5NWRdsELc1itbIPJIQIOQlEVaRoQVAAFA/kvQmOxflfR02EqAdBpWLsrk+ZtWoaakXh9R4PMHnAYyEpXlpUkxgNTWM0koQghKhyEoiqTJHZkGIH29Pg3AxowTgN9DeDojBl6zxe2fgeAJMGPMr0ng+iVYG/EnSVVd+olkOpQoiwkXNEVaRdwl8f8koOWEb/FYRMtGm4gOjoW0BRmL7+LV7Z+B4elYrRQ55jes8HAUiI8j4bSjKo6F6vIsGjeFTTqkIY5YQQogwSiKpAqtnJ4RwneP6E3HvA/T2o6pKY+DGf9etPuziY/9lzPLntIxwaLXfe8wbzr72j8PlaH8tyNzQ0MKNbAsnR5V22K359mlUpbOgnhBBVTZbmQqRkqnaa+be/zghlgLolmObQpX5zVHY7U95+hFv3b8WqMzD4/nfZclnxluqnbJ5Sy3MF2WxNY3VcEqclzVpiD6qcSrbwFkKIqiKBKARKtft27QHLI4AFNFeC6T1Q1cKdm4vn9hHcun8n2YZY+o+aze4Wnby+pkvxnVDwa7bvIGLSgqWMXnsgZ4WEEOEjgSgEirX7dqwD2zOAC3T9wPgKqPQkWLJ59f3x/P3IftJjEukzdh4HGrXx+7pNYzSs7+etrI/3PZ4oNazoVbtUHyQNCu4iy3NyVkgIEU4SiELglNX9VwuHBWB/N/+b+hFgeBxUaurnZLB17ij+diqFYwkN6T1uAYeTmpb5ur5mLVcm6dl4onSdnp6NoriugbFYH6T60Rp6Gs/xjS1BasYJISKCBKIgKLof1CBaQ4zWDXkvgeMzQAWGSRB1D01iNFxtOcn0WSNomnGCg/Va0GfsfE7G1y/zHiatyues5dWranEg62yxIqpFO6aWrBGXkpLJsC5SM04IERkkEFVSqf0gxYY+7wlwbAf0EP066PqgVcHSuqfoOmY46ozT7Gvcjn6j55IZk1DmPUxaWNErweespWmsjg396khlbCFEtSSBqJKK7Qd5ssA6AYf7AKjiIHomaDsD0OnYATpNHYs6N4c9l3ah74j3MRti/L62VgW3NjcGFFSkMrYQorqSQFRJhe0c3MfBOgY8x0HVEExzQdMCgJ6H9rBm4T+JcdjY2qEHN9/1JnZdVJmv3bW+XoKLEKLGkwOtldQgWgOuA2AZnh+E1JdBzCeFQejWA1vZMH8cMQ4bq64eSL+73ykVhBoYVSQZSh9KPZzjJNVcufNBQggR6SQQVVK3OntQWR8AJQu010HMYpJj65EcrWLE3i/4fNFjRLmdLOpxN6+Pfx23pvQk9JJaOq6oU7q9g1Q8EEJcDCQQVcKinxcx8et7UBQbzWrfxnUt5jOkZR029KvD3pOr+OjTqWgUD58Pe5hOi96mWS3vvYRidSq+P+vw+phUPBBC1HSyRxSgoinaMRo4+Oc8jmfPB2BMxyd47fp/oVKpQFGIevllDG++CYDt1VfpM24cACNaG/niqK1YqR6NCn7IsJOR5/2+UvFACFHTSSAKQLEUbcUJtufAuRbQgPEZvsoYxvhcF01NGgyTJhE1fz6KRoPt/fdx3nVX4ess+t1Wqp2DW4F0H0FIKh4IIS4GEogCUJiireSC9VFw7QaMEP0W6Lpz1Ozm1f9ksfjTqeg//xxFr8e6cCGuAQOKvc6pciyzJehh5nW1ih2UDdXZoJIHcuUMkhCiKkkgCsApqxs8Z8AyDjz/A1VtiJ4N2vYAGBx5/HPa4+h/2o4SE4Nl2TLc3buXep0G5VhmO++EB7ZlkV6kcs+edDvtE3SYXUrQAkapA7nA9xkO1vSVRnlCiKoR9GSFhx9+mA4dOlC/fn1atmzJnXfeyaFDh4J9myplUh+F3Lvyg5C6KZiWFQahOJuZzfPGcO1P2/EkJGBZu9ZrEAKY2imW5rGBBSO3QrEgBJBm8bApzc7O0w4+P2Jj0JbMSqd3FzuQ+5ejZrdk6wkhqkzQA1HHjh2ZPXs2e/fuZdWqVSiKwqBBg3A6q+d5mN0nd7P7jyGgnALN38H0MWiaAFAnN4v/m/0A3f/4nrMJ9UhZuR53586kmp2M2pHFgE0ZjNqRVRgsmsbqWNM3kSEtjHSrr/d6dqg8ghEwfC0XSraeEKKqBH1p7v777y/876ZNmzJ16lS6du3KsWPHaNWqVbBv51dl9z7Wpqxl9ObR2N12bmzSD33MdHacUpPngcbn/uSrOaNpc+Yoh+s0pte4D1EfrcPMhrZSbReKLnUVLcUzakcWnx+xVepnPGYOoNmQH76WCyVbTwhRVUK6R2SxWFi2bBnJyck0adIklLcqVBB8jppd/HbOhaVImlp59j5m/zibf337LxQUWtYZjsPwDHWi9KzqY2TL//3Kk+/fQ/K50+xv2Jq+Y+aRHpcEZjfjduZwPNf7UlfJcj1TO8XyfYaj1NJYeaTbPGVf5Ie3MUi2nhCiKoUkEC1YsIDnnnsOi8VCq1atWLduHVFRZddWqyxvG+9FFQSEqZ1ifc6UPIqHqd9OZfZPswHQRT/KH46R/JHuBmzYvv+JL2aPQXvuLLuadWDAqNlkR9cqvEeO3Xtg8LbUVbBUN+1HM4eynfx6zoW7SHp3sklN+wQduS6FX885ybKXboBXt5LLe0XHIJW7hRDhoMrOzvbe3rOIadOm8eZfBzR9Wb9+Pd26dQMgJyeHs2fPcvr0ad5//31OnjzJli1biI6O9vrclJSUCgy9tGcO6dic4f8DtF2MmxyXirS8C9tjyQYPM9vZqaPP4/n9z/P1qa/RqrSojC/i1A0svK7bH9+zfsEEauXlsq3ttQy49z2sUcV/pgZRbk7ZSy9r3ZTk5KVL/e+TnbSpmHNcS4ZDTZLew9gmLhoZFb8/m6/XLXwtu5qkqOKvJYQQoVTebZiAAlFmZiaZmZl+r0lOTvYaaBwOB82aNePtt99m2LBh5RpcWUruAR01u/g+w/+HfZMYTamlM4CBTRxkZE1g98ndxOnj6NBkFt9mdCp8vN/Bb1m1aCJGp51VHfpy5/DXcGqLl+xpHqth5nW1Su0RNY/VVDod2ttsz9frlnVtSkpKle/XBYuMPTxk7OFRncdeHgEtzSUmJpKYmFihGyiKgqIoOBzea6lVlLcPW5PW/zJV81gNiQZ16UDk+ZOvDo3F5viDhjENea/3J4zfXQ/IX2Yb9uMGlix7Gp3Hxbyrb2fckGfxqIvPeprEXPigL9maOxhLXeVZQvOXki1tJYQQkSaoe0RHjhxh3bp13HDDDSQmJvLnn3/yzjvvoNfr6du3bzBv5fXD1uJSMGnBUiSRzKSFy+K1NI/TFe4NFZs1uX8DyzhsSgaXJV7Gu72WM3aXgYy8/Nceu+tTZq2ahlpReL3HAzw94DE8qtIBr2mMpjAohKpJXaCvKynZQojqJKiBSK/Xs3PnTmbOnElOTg5169bl2muvZevWrdSrVy+Yt/L5YVsQdHzNGopliTl3g3UiYOGK+teyctAnPLnXw1GzDRSFKV/P55WN7wEwacCjzOo7iuuTdGw/VXp2F0npzpKSLYSoToIaiJKTk1m5cmUwX9InXx+2zeP8zxoKlrhGfb2EfamTUHBxU4tbWfyPOURpozhlzQBFYfr6t3hy20d4VCrG3v4sa3oMZfeAJACv+y+RlO4sKdlCiOqk2taaq+iHraIorPxtBv9JfQmAf3b+Jy90fQG1Kj+LrmEUzP/sOR7cuwqHRss9w19jRcd+DGloKJxZrembyKQdJ7FoTBGZ7iwp2UKI6qTaBqKKfNi6PC6e2vYUC39eiAoVr3Z/lbEdx164wG5n7oJHid/7JVadgcH3v8uWy7qVCnBNY3W8dKmTVq2Syj3uqqp0Hap9KiGECLZqG4igfB+2FqeFkZtGsvnIZqI0Ucy7aR4DW104I0RuLtH33INu2zbccXG8+vQCrE07MqQcwaKsICOVroUQorRqHYgClWHNYNjaYfyQ/gMJhgSW37KcqxteXfi46tw5ou+4A+2+fXiSkrCuXs0T7dvzRACvXRB8jpx38r9sV7GMvZJBRtKqhRCitBofiI5kH+G2L27jaM5RmsQ1YeWglbSu3brwcdXp05gGD0Zz8CCexo2xrFmDp2XLgF470JJCBUFG0qqFEKK0oLeBiCQ/nP6BPp/14WjOUS5PupytQ7cWD0LHjmG66SY0Bw/ivvRScjdvDjgInbSpuHmz7yBUoGiQkbRqIYQorcYGok1HNjFg5QDO2s7Ss2lPNgzZQD3ThbNM6oMHibnpJjTHjuHq2BHLxo0ci6vrtY9QSalmJw/9GuW1VFBJRYOMt8Z4klYthLjY1ciluY8OfMTj2x7Ho3gY3nY47/Z8F53mQjKA5vvvib79dtTZ2bi6dsXyySekqowBJxJM+9FcrGiqL96y7SStWgghiqtRgUhRFF7e8zJv/ie/UvikqyYx+erJqIqU5NFs345p+HBUFgvOfv2wfvQRGAxM25EVcCKBr70eyK931zZBS7NYrdcgI2nVQghRXI0JRA63g4e/fphPf/sUjUrDOz3f4d6/3VvsGu26dUQ/+CAqhwPH0KHYZs0Cbf5bUJ5EAl97PU1iNKy/SVKxhRCiPGrEHtF5+3mGrh3Kp799SrQ2muW3LC8VhHQff0z0iBGoHA5W9r2He4a9TKrtQgeM8iQSTO0US7KheAO85rEShIQQoiKq/YzoVO4phqwZwi9nfyEpOokVA1fQsV7HYtfoZ83C+K9/AfB83/G80Hc8HLOzLzOzcA/IV8mgEa2NjNqRVeqQ6sx2dpadqy17PUIIUUnVOhD9L/N/3L7mdtLMabSMb8mqW1fRrFazCxcoClEvv4zhr+6yjwyazIzu9xQ+XHQPyFsiwYjWxlJN7goSGBoZFeZfLns9QghRWdU2EO1K28Vd6+8ix57DlfWv5NOBn5JoLNK8z+PBMGkSUfPno2g0vDLqFWZcOqDU6xTdAyqZSDDKTwLDUw2D/zMJIcTFqFoGovkHVjJp23g8ioOGtfrwft/5JBprXbjA6cQ4fjz6zz9H0euxLlzI/thr4Yit1Gv5O0waSAJDVRUxFUKImqraBaJpe97nzb3PAgroh/Gn8jR3fmNjTd/o/ABgsxE9YgS6LVtQYmKwLFuGu3t3ppqd5W4bUVYCgxQxFUKIyqs2WXMexcOUHVN4c+8zgAKGR8EwFVSawuUycnIw3XYbui1b8CQkYFm7Fnf37sCFw6RDWhjpVl/PkBbGMgNGWZUQ/BUxFUIIEZhqMSPKc+UxdstY1qSsQYUOxTgN9MX3e2ynzxBzyxg0+/fjadAAyxdf4GnTptg15T1M6q8SQsppKWIqhBDBEPGB6FzeOe5afxd7Tu4hTh9Hxyaz2ZFRPD278bk/mfPmGDQnj+Bu3hzLmjUoTZsG5f7+gpcUMRVCiMqL6KW5PX8e4fJFvdlzcg9GXX0+7L+OGd37Flsua33mKN/NvJdGJ4/gbtcOy+bNQQtCZZEipkIIUXkRG4i2HPuRASv7Ys47DOpLsBk+5ql99QEK93pG2lL4z+z7aJh1CtdVV5G7YQNKvXplvHLwVGTfSQghRHERuTS3LXUbw9fdjdtjAc2VYJoBqrhiB1AXan/D9Nq9qM6fx9mzJ9YlS8BkqvKxShFTIYSonIibES0/uJwha4fg8lhA1w9M80AVV/j4aasb7ZYtmG67DdX58zgGDcK6fHlYgpAQQojKi5hApCgKb/7nTcZ9NQ6Xx8WldUeDcTqo9MWuu+37DUQPH44qLw/Hffdh+/BD0Ot9vKoQQohIFxGByOVx8dj/Pca03dNQoeL1G15nxc0v0zyu+F7L1O9X8PDbj6JyubA/8gi2d98FjWSoCSFEdRYRe0TD1w9ny9EtGDQG5vWbxy2X3AJw4QyPxcW4jXO5c9lbANiefx7HxIlhHLEQQohgiYhAtOXoFhIMCSy/ZTlXN7y68PtNY3XMvz4Bw7PPEvXx+ygqFbZ33sE5YkT4BiuEECKoIiIQNYlrwqpBq2hVu1XxB9xujBMnol+6FEWnwzZ3Ls7Bg8MzSCGEECEREYFo69Ct1DOVOP9jtxM9ahS6detQjEasS5fi6tUrPAMUQggRMhERiEoFodxcou+5B922bShxcVhWrMB99dXenyyEEKJai4hAVJTq3Dmi77gD7b59eJKSsKxejad9+3APSwghRIhEVCBSnT6NafBgNAcP4mncGMuaNXhatgz3sIQQQoRQxAQi1bFjmAYNQnPsGO5LL8WyejVKo0bhHpYQQogQC9mBVkVRuO2224iPj2ft2rX+B3HwIDE33YTm2DFcHTti2bhRgpAQQlwkQjYjmjlzJpoAqx6Y/vEP1NnZuLp2xfLJJxAXV/aThBBC1AghCUQ//fQTc+bMYfv27bRq1arM69XZ2Tj79cP60UdgMIRiSEIIISKUKjs7WwnmC5rNZrp3785rr71Gnz59iI+PZ/HixQwcODCYtxFCCFFDBH2P6LHHHqNnz5706dMn2C8thBCiBgpoaW7atGm8+eabfq9Zv349J0+e5JdffmHbtm1BGZwQQoiaL6CluczMTDIzM/1ek5yczOOPP86nn36KWn1houV2u1Gr1XTp0oXNmzdXfsRCCCFqlKDuEf35559kZ2cX+961117Lyy+/TP/+/WnWrFmwbiWEEKKGCGrWXMOGDWnYsGGp7ycnJ0sQEkII4VVEdGgtUJ5DsJHi4YcfpkOHDtSvX5+WLVty5513cujQoXAPq0znzp3jySef5Morr6R+/fq0a9eOxx57jKysrHAPLSCLFi1iwIABNGnShPj4eFJTU8M9JL8WLFjA5ZdfTr169ejevTu7d+8O95DKtGvXLoYNG8Zll11GfHw8y5YtC/eQAvb2229z44030rhxY1q2bMnQoUM5ePBguIcVkPnz53PttdfSuHFjGjduTO/evdmyZUu4h1Vub731FvHx8Tz55JNlXhvyQJSdnR1w6nZ5DsFGio4dOzJ79mz27t3LqlWrUBSFQYMG4XQ6wz00v06dOsWpU6d44YUX2L17N3PnzmX37t2MHDky3EMLiNVqpUePHkyePDncQynT6tWrmTx5Mo8//jjffvstXbp0YciQIZw4cSLcQ/PLYrHQtm1bXnvtNYxGY7iHUy47d+5k5MiRbNmyhXXr1qHVahk0aBDnzp0L99DK1LBhQ1544QV27NjBtm3buP766xk+fDi//PJLuIcWsH379rF48WLatWsX0PVBP0dUUT/99BN333134SHY6nr26JdffqFr167s27cvoMO8keSrr75i6NChpKamEldNqlv89NNP3Hjjjezfv5+mTZuGezhe9ezZk3bt2jFjxozC73Xq1ImBAwfy3HPPhXFkgWvUqBHTp09n+PDh4R5KheTm5tKkSROWLVtGv379wj2ccmvWrBnPPfcc999/f7iHUqacnBy6d+/Oe++9x/Tp02nbti1vvPGG3+dExNKc2Wxm5MiRvPPOOyQlJYV7OBVmsVhYtmwZycnJNGnSJNzDKTez2UxUVBTR0dHhHkqN4XA4+O9//0uPHj2Kfb9Hjx7s3bs3TKO6+OTm5uLxeIiPjw/3UMrF7XazatUqLBYLXbp0CfdwAjJx4kQGDhxI9+7dA35ORFTfru6HYBcsWMBzzz2HxWKhVatWrFu3jqioqHAPq1yys7N5+eWXuffee9FqI+LXokbIzMzE7XaX+gMrKSmJM2fOhGlUF5/JkyfTvn37avNh/uuvv9KnTx/y8vIwmUx8/PHHAS9zhdPixYs5cuQIc+fOLdfzQjYjmjZtGvHx8X7/9+9//5tPP/2UX375hZdeeilUQym3QMdeYMiQIXz77bds2LCBli1bct9992G1WqvF2CF/JnfnnXfSoEEDXnzxxbCMGyo29upCpVIV+1pRlFLfE6Hx9NNP891337F06dJqswfdqlUr/v3vf/P1118zcuRIxo0bF/HJFikpKbz44ovMnz8fvV5frueGbI+oOh+CDXTs3pawHA4HzZo14+2332bYsGGhGqJP5R17bm4uQ4YMAeDzzz8nJiYm5GP0pSLve6TvETkcDho0aMCHH37IoEGDCr//xBNPcPDgQTZu3Bi+wZVDdd0jmjJlCqtXr2b9+vW0bt063MOpsIEDB9K4cWNmzpwZ7qH4tGzZMiZMmFAs2LvdblQqFWq1mj///NPnSlHI1mASExNJTEws87pnnnmGf/7zn8W+d+211/LSSy/Rv3//UA3Pr0DH7o2iKCiKgsPhCPKoAlOesZvNZoYMGYKiKKxcuTKsQQgq975HKr1eT4cOHdi2bVuxQLRt2zZuueWW8A3sIjBp0iRWr17Nl19+Wa2DEIDH4wnbZ0qg+vfvT8eOHYt9b8KECbRs2ZLHHnvM7ywp7JsB1fkQ7JEjR1i3bh033HADiYmJ/Pnnn7zzzjvo9Xr69u0b7uH5ZTabGTx4MGazmWXLlmG1WguXExMSEso9ta5q6enppKenc/jwYQAOHTpETk4OjRs3JiEhIcyjK27ChAmMGTOGzp07c9VVV7Fw4UJOnz4d8RlQubm5HDlyBMj/IExLS+PAgQMkJCTQuHHjMI/OvyeeeILPPvuMjz/+mPj4eNLT0wEwmUxh/4OrLM8//zx9+vShUaNG5ObmsnLlSnbu3MmKFSvCPTS/CpbPi4qOjiYhIYG2bdv6fW7YA1F1ptfr2blzJzNnziQnJ4e6dety7bXXsnXrVurVqxfu4fn13//+l3379gHQuXPnYo+tX7+ebt26hWNYAVu4cCGvv/564dd33HEHALNmzYq45aPBgweTlZXFG2+8QXp6OpdddhkrVqyI+MzKn376iZtvvrnw61dffZVXX32VO++8kw8++CCMIyvbggULAEodAZk0aRJTpkwJx5AClp6ezujRozlz5gxxcXG0a9eOlStX0rNnz3APLWQi5hyREEKIi1NEnCMSQghx8ZJAJIQQIqwkEAkhhAgrCURCCCHCSgKREEKIsJJAJIQQIqwkEAkhhAgrCURCCCHCSgKREEKIsPp/6tTcsY4S4V8AAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "regression_line(0.6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When $r$ is close to 1, the scatter plot, the 45 degree line, and the regression line are all very close to each other. But for more moderate values of $r$, the regression line is noticeably flatter." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Regression Effect\n", "In terms of prediction, this means that for a parents whose midparent height is at 1.5 standard units, our prediction of the child's height is somewhat *less* than 1.5 standard units. If the midparent height is 2 standard units, we predict that the child's height will be somewhat less than 2 standard units.\n", "\n", "In other words, we predict that the child will be somewhat closer to average than the parents were.\n", "\n", "This didn't please Sir Francis Galton. He had been hoping that exceptionally tall parents would have children who were just as exceptionally tall. However, the data were clear, and Galton realized that the tall parents have children who are not quite as exceptionally tall, on average. Frustrated, Galton called this phenomenon \"regression to mediocrity.\" \n", "\n", "Galton also noticed that exceptionally short parents had children who were somewhat taller relative to their generation, on average. In general, individuals who are away from average on one variable are expected to be not quite as far away from average on the other. This is called the *regression effect*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Equation of the Regression Line ###\n", "In regression, we use the value of one variable (which we will call $x$) to predict the value of another (which we will call $y$). When the variables $x$ and $y$ are measured in standard units, the regression line for predicting $y$ based on $x$ has slope $r$ and passes through the origin. Thus the equation of the regression line can be written as:\n", "\n", "$$\n", "\\mbox{estimate of }y ~=~ r \\cdot x ~~~\n", "\\mbox{when both variables are measured in standard units}\n", "$$\n", "\n", "In the original units of the data, this becomes\n", "\n", "$$\n", "\\frac{\\mbox{estimate of}~y ~-~\\mbox{average of}~y}{\\mbox{SD of}~y}\n", "~=~ r \\times \n", "\\frac{\\mbox{the given}~x ~-~\\mbox{average of}~x}{\\mbox{SD of}~x}\n", "$$\n", "\n", "\n", "![regline](../../../images/regline.png)\n", "\n", "The slope and intercept of the regression line in original units can be derived from the diagram above. \n", "\n", "$$\n", "\\mathbf{\\mbox{slope of the regression line}} ~=~ r \\cdot\n", "\\frac{\\mbox{SD of }y}{\\mbox{SD of }x}\n", "$$\n", "\n", "$$\n", "\\mathbf{\\mbox{intercept of the regression line}} ~=~\n", "\\mbox{average of }y ~-~ \\mbox{slope} \\cdot \\mbox{average of }x\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The three functions below compute the correlation, slope, and intercept. All of them take three arguments: the name of the table, the label of the column containing $x$, and the label of the column containing $y$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def correlation(t, label_x, label_y):\n", " return np.mean(standard_units(t[label_x])*standard_units(t[label_y]))\n", "\n", "def slope(t, label_x, label_y):\n", " r = correlation(t, label_x, label_y)\n", " return r*np.std(t[label_y])/np.std(t[label_x])\n", "\n", "def intercept(t, label_x, label_y):\n", " return np.mean(t[label_y]) - slope(t, label_x, label_y)*np.mean(t[label_x])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Regression Line and Galton's Data\n", "The correlation between midparent height and child's height is 0.32:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.320949896063959" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "galton_r = correlation(heights, 'MidParent', 'Child')\n", "galton_r" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also find the equation of the regression line for predicting the child's height based on midparent height." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.6373608969694783, 22.636240549589772)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "galton_slope = slope(heights, 'MidParent', 'Child')\n", "galton_intercept = intercept(heights, 'MidParent', 'Child')\n", "galton_slope, galton_intercept" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The equation of the regression line is\n", "\n", "$$\n", "\\mbox{estimate of child's height} ~=~ 0.64 \\cdot \\mbox{midparent height} ~+~ 22.64\n", "$$\n", "\n", "This is also known as the *regression equation.* The principal use of the regression equation is to predict $y$ based on $x$.\n", "\n", "For example, for a midparent height of 70.48 inches, the regression equation predicts the child's height to be 67.56 inches." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "67.55743656799861" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "galton_slope*70.48 + galton_intercept" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our original prediction, created by taking the average height of all children who had midparent heights close to 70.48, came out to be pretty close: 67.63 inches compared to the regression line's prediction of 67.55 inches." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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3570.4868.067.634239
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" ], "text/plain": [ " MidParent Child Prediction\n", "33 70.48 74.0 67.634239\n", "34 70.48 70.0 67.634239\n", "35 70.48 68.0 67.634239" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights_with_predictions[heights_with_predictions['MidParent'] == 70.48].head(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are all of the rows in Galton's table, along with our original predictions and the new regression predictions of the children's heights." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MidParentChildPredictionRegression Prediction
075.4373.270.10000070.712373
175.4369.270.10000070.712373
275.4369.070.10000070.712373
375.4369.070.10000070.712373
473.6673.570.41578969.584244
...............
92966.6464.065.15657965.109971
93066.6462.065.15657965.109971
93166.6461.065.15657965.109971
93265.2766.564.22963064.236786
93365.2757.064.22963064.236786
\n", "

934 rows × 4 columns

\n", "
" ], "text/plain": [ " MidParent Child Prediction Regression Prediction\n", "0 75.43 73.2 70.100000 70.712373\n", "1 75.43 69.2 70.100000 70.712373\n", "2 75.43 69.0 70.100000 70.712373\n", "3 75.43 69.0 70.100000 70.712373\n", "4 73.66 73.5 70.415789 69.584244\n", ".. ... ... ... ...\n", "929 66.64 64.0 65.156579 65.109971\n", "930 66.64 62.0 65.156579 65.109971\n", "931 66.64 61.0 65.156579 65.109971\n", "932 65.27 66.5 64.229630 64.236786\n", "933 65.27 57.0 64.229630 64.236786\n", "\n", "[934 rows x 4 columns]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights_with_predictions['Regression Prediction'] = galton_slope*heights['MidParent'] + galton_intercept\n", "\n", "heights_with_predictions" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,5))\n", "\n", "ax.scatter(heights_with_predictions['MidParent'], \n", " heights_with_predictions['Child'], \n", " label='Child', \n", " color='darkblue')\n", "\n", "ax.scatter(heights_with_predictions['MidParent'], \n", " heights_with_predictions['Prediction'], \n", " label='Prediction', \n", " color='gold')\n", "\n", "ax.scatter(heights_with_predictions['MidParent'], \n", " heights_with_predictions['Regression Prediction'], \n", " label='Regression Prediction', \n", " color='lightblue')\n", "\n", "x_label = 'MidParent'\n", "\n", "y_label = ''\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The grey dots show the regression predictions, all on the regression line. Notice how the line is very close to the gold graph of averages. For these data, the regression line does a good job of approximating the centers of the vertical strips." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fitted Values\n", "The predictions all lie on the line and are known as the \"fitted values\". The function `fit` takes the name of the table and the labels of $x$ and $y$, and returns an array of fitted values, one fitted value for each point in the scatter plot." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "def fit(table, x, y):\n", " \"\"\"Return the height of the regression line at each x value.\"\"\"\n", " a = slope(table, x, y)\n", " b = intercept(table, x, y)\n", " return a * table[x] + b" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MidParentChildFitted
075.4373.270.712373
175.4369.270.712373
275.4369.070.712373
375.4369.070.712373
473.6673.569.584244
............
92966.6464.065.109971
93066.6462.065.109971
93166.6461.065.109971
93265.2766.564.236786
93365.2757.064.236786
\n", "

934 rows × 3 columns

\n", "
" ], "text/plain": [ " MidParent Child Fitted\n", "0 75.43 73.2 70.712373\n", "1 75.43 69.2 70.712373\n", "2 75.43 69.0 70.712373\n", "3 75.43 69.0 70.712373\n", "4 73.66 73.5 69.584244\n", ".. ... ... ...\n", "929 66.64 64.0 65.109971\n", "930 66.64 62.0 65.109971\n", "931 66.64 61.0 65.109971\n", "932 65.27 66.5 64.236786\n", "933 65.27 57.0 64.236786\n", "\n", "[934 rows x 3 columns]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights['Fitted'] = fit(heights, 'MidParent', 'Child')\n", "\n", "heights" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is easier to see the line in the graph below than in the one above." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#heights.with_column('Fitted', fit(heights, 'MidParent', 'Child')).scatter('MidParent')\n", "\n", "fig, ax = plt.subplots(figsize=(8,5))\n", "\n", "ax.scatter(heights['MidParent'], \n", " heights['Child'], \n", " label='Child', \n", " color='darkblue'\n", " )\n", "\n", "ax.scatter(heights['MidParent'], \n", " heights['Fitted'], \n", " label='Fitted', \n", " color='gold'\n", " )\n", "\n", "x_label = 'MidParent'\n", "\n", "y_label = ''\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another way to draw the line is to use the option `fit_line=True` with the Table method `scatter`." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#heights.scatter('MidParent', fit_line=True)\n", "\n", "x_data = heights['MidParent']\n", "\n", "y_data = heights['Child']\n", "\n", "fig, ax = plt.subplots(figsize=(8,6))\n", "\n", "m, b = np.polyfit(x_data, y_data, 1)\n", "\n", "minx, maxx = np.min(x_data),np.max(x_data)\n", "\n", "ax.plot([minx,maxx],[m*minx+b,m*maxx+b], label='Best Fit Line', color='red')\n", "\n", "ax.scatter(heights['MidParent'], \n", " heights['Child'], \n", " color='darkblue'\n", " )\n", "\n", "\n", "x_label = 'MidParent'\n", "\n", "y_label = 'Child'\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Units of Measurement of the Slope\n", "The slope is a ratio, and it worth taking a moment to study the units in which it is measured. Our example comes from the familiar dataset about mothers who gave birth in a hospital system. The scatter plot of pregnancy weights versus heights looks like a football that has been used in one game too many, but it's close enough to a football that we can justify putting our fitted line through it. In later sections we will see how to make such justifications more formal." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "baby = pd.read_csv(path_data + 'baby.csv')" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#baby.plot.scatter('Maternal Height', 'Maternal Pregnancy Weight', fit_line=True)\n", "\n", "x_data = baby['Maternal Height']\n", "\n", "y_data = baby['Maternal Pregnancy Weight']\n", "\n", "fig, ax = plt.subplots(figsize=(8,6))\n", "\n", "m, b = np.polyfit(x_data, y_data, 1)\n", "\n", "minx, maxx = np.min(x_data),np.max(x_data)\n", "\n", "ax.plot([minx,maxx],[m*minx+b,m*maxx+b], label='Best Fit Line', color='red')\n", "\n", "ax.scatter(baby['Maternal Height'], \n", " baby['Maternal Pregnancy Weight'], \n", " color='darkblue'\n", " )\n", "\n", "\n", "x_label = 'Maternal Height'\n", "\n", "y_label = 'Maternal Pregnancy Weight'\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.572846259275052" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "slope(baby, 'Maternal Height', 'Maternal Pregnancy Weight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The slope of the regression line is **3.57 pounds per inch**. This means that for two women who are 1 inch apart in height, our prediction of pregnancy weight will differ by 3.57 pounds. For a woman who is 2 inches taller than another, our prediction of pregnancy weight will be \n", "$$\n", "2 \\times 3.57 ~=~ 7.14\n", "$$\n", "pounds more than our prediction for the shorter woman.\n", "\n", "Notice that the successive vertical strips in the scatter plot are one inch apart, because the heights have been rounded to the nearest inch. Another way to think about the slope is to take any two consecutive strips (which are necessarily 1 inch apart), corresponding to two groups of women who are separated by 1 inch in height. The slope of 3.57 pounds per inch means that the average pregnancy weight of the taller group is about 3.57 pounds more than that of the shorter group." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example\n", "Suppose that our goal is to use regression to estimate the height of a basset hound based on its weight, using a sample that looks consistent with the regression model. Suppose the observed correlation $r$ is 0.5, and that the summary statistics for the two variables are as in the table below: \n", "\n", "| |**average** |**SD** | \n", "|------:|:-------------:|:---------:|\n", "|height |14 inches |2 inches |\n", "|weight |50 pounds |5 pounds |\n", "\n", "To calculate the equation of the regression line, we need the slope and the intercept.\n", "\n", "$$\n", "\\mbox{slope} ~=~ \\frac{r \\cdot \\mbox{SD of }y}{\\mbox{SD of }x} ~=~\n", "\\frac{0.5 \\cdot 2 \\mbox{ inches}}{5 \\mbox{ pounds}} ~=~ 0.2 ~\\mbox{inches per pound}\n", "$$\n", "\n", "\n", "$$\n", "\\mbox{intercept} ~=~ \\mbox{average of }y - \\mbox{slope}\\cdot \\mbox{average of } x\n", "~=~ 14 \\mbox{ inches} ~-~ 0.2 \\mbox{ inches per pound} \\cdot 50 \\mbox{ pounds}\n", "~=~ 4 \\mbox{ inches}\n", "$$\n", "\n", "The equation of the regression line allows us to calculate the estimated height, in inches,\n", "based on a given weight in pounds:\n", "\n", "$$\n", "\\mbox{estimated height} ~=~ 0.2 \\cdot \\mbox{given weight} ~+~ 4\n", "$$\n", "\n", "The slope of the line is measures the increase in the estimated height per unit increase in weight. The slope is positive, and it is important to note that this does not mean that we think basset hounds get taller if they put on weight. The slope reflects the difference in the average heights of two groups of dogs that are 1 pound apart in weight. Specifically, consider a group of dogs whose weight is $w$ pounds, and the group whose weight is $w+1$ pounds. The second group is estimated to be 0.2 inches taller, on average. This is true for all values of $w$ in the sample.\n", "\n", "In general, the slope of the regression line can be interpreted as the average increase in $y$ per unit increase in $x$. Note that if the slope is negative, then for every unit increase in $x$, the average of $y$ decreases." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Endnote\n", "Even though we won't establish the mathematical basis for the regression equation, we can see that it gives pretty good predictions when the scatter plot is football shaped. It is a surprising mathematical fact that no matter what the shape of the scatter plot, the same equation gives the \"best\" among all straight lines. That's the topic of the next section." ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 2 }