{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "

Residual Values in Regression Analysis


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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Import Dependencies

" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# to load images for this tutorial\n", "from IPython.display import Image\n", "import os\n", "path = os.getcwd()\n", "# Math and dataframe modules\n", "import numpy as np\n", "import pandas as pd\n", "\n", "# Stats module\n", "import statsmodels.api as sm\n", "\n", "# Data Visualization\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "# Formats plots and uses seaborn theme\n", "plt.style.use('seaborn')\n", "plt.rc('font', size=14)\n", "plt.rc('figure', titlesize=18)\n", "plt.rc('axes', labelsize=15)\n", "plt.rc('axes', titlesize=18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Import Data

\n", "\n", "Documentation\n", "\n", "\n", "\n", "References\n", "\n", "
  • Bradley Efron, Trevor Hastie, Iain Johnstone and Robert Tibshirani (2004) “Least Angle Regression,” Annals of Statistics (with discussion), 407-499.
  • " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import load_diabetes\n", "diabetes = load_diabetes()\n", "X = pd.DataFrame(diabetes.data, columns=diabetes.feature_names)\n", "y = pd.DataFrame(diabetes.target)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

    Create dataframe from X, y

    " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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    agesexbmibps1s2s3s4s5s6DP
    00.0380760.0506800.0616960.021872-0.044223-0.034821-0.043401-0.0025920.019908-0.017646151.0
    1-0.001882-0.044642-0.051474-0.026328-0.008449-0.0191630.074412-0.039493-0.068330-0.09220475.0
    20.0852990.0506800.044451-0.005671-0.045599-0.034194-0.032356-0.0025920.002864-0.025930141.0
    3-0.089063-0.044642-0.011595-0.0366560.0121910.024991-0.0360380.0343090.022692-0.009362206.0
    40.005383-0.044642-0.0363850.0218720.0039350.0155960.008142-0.002592-0.031991-0.046641135.0
    \n", "
    " ], "text/plain": [ " age sex bmi bp s1 s2 s3 \\\n", "0 0.038076 0.050680 0.061696 0.021872 -0.044223 -0.034821 -0.043401 \n", "1 -0.001882 -0.044642 -0.051474 -0.026328 -0.008449 -0.019163 0.074412 \n", "2 0.085299 0.050680 0.044451 -0.005671 -0.045599 -0.034194 -0.032356 \n", "3 -0.089063 -0.044642 -0.011595 -0.036656 0.012191 0.024991 -0.036038 \n", "4 0.005383 -0.044642 -0.036385 0.021872 0.003935 0.015596 0.008142 \n", "\n", " s4 s5 s6 DP \n", "0 -0.002592 0.019908 -0.017646 151.0 \n", "1 -0.039493 -0.068330 -0.092204 75.0 \n", "2 -0.002592 0.002864 -0.025930 141.0 \n", "3 0.034309 0.022692 -0.009362 206.0 \n", "4 -0.002592 -0.031991 -0.046641 135.0 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# create dataframe from X, y for easier plot handling\n", "names = ['age', 'sex','bmi','bp','s1','s2','s3','s4','s5','s6', 'DP']\n", "dataframe = pd.concat([X, y], axis=1)\n", "dataframe.columns = names\n", "dataframe.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

    Visually Explore Relationship Between T cells and Disease Progression

    " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
    " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Seaborn\n", "ax = sns.lmplot(x='s1', y='DP', height=6, data=dataframe)\n", "ax.set(xlabel='T-Cells', ylabel='Disease Progression')\n", "plt.savefig(\"images/reg.png\", bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    \n", "Note
    \n", "\n", "
    " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "req_equ_error = os.path.join(path, 'images/equation_with_error.png')\n", "Image(filename=req_equ_error) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

    How good is the regression model?

    " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    \n", "\n", "
      \n", "
    • One metric used to evaluate the performance of a model is by looking at the distance between the actual data and the best fit line

    • \n", "
    • As illustrated below, the vertical red line segments are considered the error between the actual data (Y value) and the predicted data (Y hat value)

    • \n", "
    • The predicted value (the blue line) is also referred to as the fitted value. This value originates from the regression algorithm.

    • \n", "
    • The magnitude of this segment between the actual data point and the blue line at that x position (predictor) is referred to as the residual.

    • \n", "
    • The residual is used in various diagnostic plots to determine if the regression curve is linear, or better defined by some other function
    • \n", "
    \n", "
    " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "residual_segments = os.path.join(path, 'images/residual_segments.png')\n", "Image(filename=residual_segments) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

    How to Calculate the Residual

    " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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NQq/ZK8WsWe+1HhElHaQSvxc645qK16MOHvC84OYQawvhiIpIqi34bHlWN2cpv439xq/W/mi01lUXfM8mbSEcVHFxtYVubXXl2KFmnt9PFscXxEBjzJxROvIB8U+tiJNtIZy3D53d2urIocPGNETvYJL/Df8IIuYXuvHiLPcfkkmqLYST9rGwW1vd+HUYeMuPit/7ekWIM8XSbOfm0/T8YT2etIHw9q1y5cUwolN3toxU315TX3vLJRX2LtuFj+oZToU6JrE2EOLdooU3+Lux1YVbh5k1FfJatWOX2kAY1LMhW0Fl/VMf5ReHPfrTJYQbstWji4dAbKrmVHo20yWEG7LVs5MvuODkxPhcz0a6hHBDtnp28gUXLM+N9G6jSwg3ZKt3L19oySXxjt5N5AtdyW7IVleWDinzWddVerW3A39j9uFupDdgq1cfI7kIgQiBCIEIgQiBCIEIgQiBCIEIgQiBCIEIgQiBCIEIgQiBCIEIgQiBCIEIgQiBCIFDj8A5H2z1x3pDfekmRpBz99ZGqJJOGlP3Zkst+M55/HdaUA5Pc76LT8LgYTcxgvCNxWLPnUo+1vLT8SX6g/X9lJa7+bQhJEZQ6i0tfxGh/rp7N521lVVLrSSX+wzC0W4gDIkRNKzDWPj6e6mqVbsdhbaypZYQjvQZhCNdQBgWI2hEZnzocWWraip3C6GtrDWE/DvdZqOHraUbCENjBL04xPXv9wihsJQdmRB2HCPoql4htG7HkQmh1cH1i09FEK4PUFtqKoKwLUZtGEYjCNsg1JacPuogTGw1n33+2QkV4HPLB+ecS2cJKFWnkkohMYLufjlz3n1CI5HTXDeZ2IU41NxwwpxqTW49XpNxabKQvPS3BEJ0amUi9aKKoO3kpRfiCJi8N1sjUecnWsPhPtQsUdioIseOqtLHsSMHnbf/YvK95KM45tqf7EGLlLNPfpjiSqk6kzgLiRGEYAPToP2fK85+6YcainMcX5yoz/XKi2e89o59jGHsjVe++nuKLpotjF/75zfcd7rQysQZp/3i8gmC8IkZQJh4TNZI8pVXXH4aXcXhhvBt+bWfi2QamfiCvB7dOXjunIhzcMcRfIONZcy5QV45PU7oqjq7zVlYjKBkFhAOT2CQzDQUp7N9x8Ht27ejUn70ATxWb6PmckOIaoZKSE0W/hiNO2CNlYnUgZwQl/OhZowfRPI10Ecq0FVA4bBDKNgrdSPfA39GDt6DfGYWWZmybEOI+kcBas6ro5lSeIyg8rQQ/0zk3Q3KKQ2btfCxHCr07eMIZYMASSe/hfECmpNEJWViuYYsJkvI1bPcJDXQ65mhVWSHH8IBGnFJHnYYI2JkLYOcbnmMY8JNFjBcviJEzqqDgVJ4jCCKc0H3Qow1KKfkQvhNVMap2+kCsgE2gELQwnCJ2miekzKH7iLuagmZgjBdQ7EOUoIjhh3uiYzIKhX8AQjKxAL+H5HIBAE3+GsqTe1HB/dSyatTTWClKiFXMYKsoDPU6weJPtSgnJILIelh4LITKDleyDS/hbFtJPUu/E/KhtQnpPkS6haEHKdANtB42CEUM+RmFVl8gpxkh+k+LwM8IbZgPlUXqOTVqQZIGfZ0BUU76Az1uopAaiI1h4yTC2EN1RgMpBR4DABz+C2M7suhFaszQ7hFvfgIQnj1Iui84Bx+CNPbME7mkY2Q4yMHkAmCML+XSmNYxwhfu041rOXAwsQIOlk1UU4Q7pbXznkt3ihcQCNBOMRDXdQzhslvISlXP6IopGyZ1k3oLSGzRiG1iZkMssMP4RTG2U/GkJ1LTnlOVlevQ7rm7wHhIlG8OtWwFHoxglSDyqnXqaxc+bjX6I5CkBjCUUmqr7t4wvAELPxUyjcyjZRNwjWkZgjP/KfrshlQDj+EozgofHIAi/yLyFMPwvpeqlOqZij36lRDXXVNVbycei1iMwhf77Y1QTimRqHL0GThWATNroBMypaeZb4mCC9b/Vm/jMIYduNCAp2i04wF4UwAQq/OXRItYgQxhELcUealklmbIBwOh9CykDwR4Q7XhfBcWjD7ZCI7shHPYGF2Fqi/3igsByD06sQnhNymroGcICyhLVGtGQpBGJvTpzxaC9W2b8i4qnFuLIwQ5Vbw8ShMq9EeGIVOvQR6n0AoqqWROTFZis3CJwvCtJpAaFMd9OrEh0N3gS/IfEFnCMI3EWVsv6EThOMVC8KYN0IVj9/CIODGQoGclM3z4UqthWrZW6rBz5UceABhpQ/WQlHcO4zz395RuGRDOKVcv91A6NWZUXgxgnxBZ6jX/5k4Ymr0oDSMY8lQxYLQUfFLEw2hk4LQWBicoOZ0Q0E4hmUaiUehgrBcg7/8qJfN4DB7+LcTseWZS9HNZ85iT72JrI+07zIQenVmFPltfD0xEOCGIHwzUVLuKKQNi05M/LhGE1nka8isw7eC0FgYXCDq8pyCkNZqpGoJGT/aiGwN5ya6wQ7+ZbovIBxZxUYSO6B+E+BB6NRn4WUC3VEd9OpoRnJjBPmDzhCE2QrosW3ERWngAG4Rrh6EO/msdytTKfNbGOQl5Bi0kzJRnUCWlCXkMWjCdl8DhFgcRCw77ZT6YRTGKSKrI+EX0ghPG36Qv5F6siOnF20h3DrxYQzRVKIYQf6gM4QTL5ODs8yGLCFz4ou4lkvIBmgUJghkh55hVOJtwbUwyA/PbwCJQd9Jw/nmagE5Pwadm96LlZbU3JpeSGb08o3qYUy8MlVL5IFzJ53HEjPP5VCuPipi7xXibfI7RHLrXEFmYgQBMtOEcLDZbwtx2kfnRNKKwLx0j4OBfk72VPDdLH+G/NyDOXHsnBELWBj8wQNC3LWolQnna7Mi9kD+6SvAXrxHJD9ZPHCFSNTvEfFPDD43MufcuVYxig7btZyD6TQPmjzeji7iVaekgZC64GG8ucMrV0Sip6TqXOSqiRFkBZ2h96vPilLinZ/+GxcgPH1f/J45QQHtD9LbXVmA9BN7dk0YTUELI+Km+7/+Dqx8rAx2r7n/WpHnn84kLnj/VdAB7+Kfec9XcHJ6n1gCV8aoOlzXL5NhPowJB4ON3myJ7Z4z/prX7pbsoDNgxn+hCe05NoCCP6HBsufR0I7/2iTlchumficfoUFnDiXsR2jQmUMJ4REadOZQQniEBp05lBBGQWcOJdqRrQiBCIEIgQiBCIEIgQiBCIEIgQiBCIEIgQiBCIEIgQiBCIEIgQiBCIEIgQiBCIEIgQiBFgj8vEV7aLPz11v5RztExE84TEIxZ8qi34L2uI61L+zGD3vkNPHR3y6vtRdQHG/ulJH48BMjtkDlJVhRP6HFj42sv0fYd0F7yNnOUuokKX8nR7zJsv+jm/Xk4/jVYBcp5UGY/Ff5zJwSPTP7VMVT0m9BezzP2pfq/KNI8BXxe8IO02jIT9Lwi+OWiX9uqagJ72uBJY0lE9RPbFtq6GvCpBlRuzp3c0fIlN+6jjj/6FfTq/QDWk4/MgW69sEPz213uirPq5/gi/FC52Jby/ubmL/f1OI12BAW1a/4QXzIY9jcEI7Rz62RjsnxpaPsouLBJr6rmlq8BhvCQTPqU8qu5trMo3Ccv+4VSXd+eT1vVUosDKqvGWwG+hl+q2RDOK5HvRiZtdk3M4RJdbR4q69Ddueay+MTQ7IRaDYxfQLNqmpDmODfW6P9rT7WzQyhyPLi9F1fh9avjOlPQWwuE9PHbnPLNoRiRo/317hkKmxqCJfoN/2jJepHh+kv8K3E3gCviekTaFZVH4Rp/v5LCHxhYaVNDeFumpQ/tHrTtng+njL4GybidC49HrmO6RO7NzstxP+6cI11vO2ECl/Vl0yqiHgFah1NFqjBF7THL+2LCGSE+/M6iO+z4q/vxrcaPiGjz7koJb52/se+yp+J0KclqfMkIPxClSEcOP9ujqKgPwZT/JiykpfdIc59QXt80r6IQEa2T69DeF7YXenCuThQGjNHE3yTJOIlL6ZPHUQd2eNToKhHH99ETqpT1CBZHKngqahAJTWRLelyw3yfR+T+Tin5nMOfwHbq5mgDn9PpR7w4j7eP4S2FPtTwsxx/bDdAwyxfIq0+CEWdz+X/gQjBoD2edDAiEHH3b8o+PbwY4h3/jXe8WOFUsBh2omw+faQAGWIIq5sPQv5qlmMxqW9G/RCm+Vz+PtJIo84O2sMQsnS6ALIVEYi4+zflVz5tnLMPGpe+wko0okx6ORX00SRfQ3kL9vRmCKmVY90ER+EU7SeJAjLBx3o+Y6qJ7EGYnQDZighE3P2bls1LA+cyfd5Y31d+o6OGksCH1XgheHIYhCOngcRhugITeYQwGyeIBG83M3R/AhA2RQQi7v5NU7LCziUffmUnECZqxM1DCbGPqPuUmkeh1eyfyCnaTwZzTKeMv0gOQNgUEcjl7svCsnljKAY6gVAFJaSAh7SrVHSXwiB0PvZfruZdxg+hqP8GEfW0nD9ojzuRmyICafY+vSzx8k7OdQTh2Jc+j3QDTpP0Tr+CnFIIhPGZ63OqOQDhJHD9WyUWCNrjQtgUEUix92s+Q7sqp44gvEvx8iPeehA6FAEtFMKpNeHUWEswaI8LYVNEIGW0X3P1tou880H48h9ZySx5YPoD1Y88PeLFeDpTA2EVm/PFsVjVzcEdWYzKykCGhJqC9rgQNkUEIva+TSlZML75IGx1LtymuHfTI17C/UcUgnC8otEapwN3mR4a0ZxsghDhD8dyIDYH7eEZT9JNEYGIvW/TOB9M2D0fhC0cjpcUQT3i1bG5YjQ13Jg+DAJFQnTkNCiDTwnEEQqshXjP8++spClojyU9QRyJBvP1ezbsTkb/RG7hNz3eUVKPeGlsrjjUNYSJ6bNUQn0QECb57fTUwTAIl359PYk1B+1xpZsiAjF/v2ZbZM641skovFEzJ/hAPkwLntgBRDGvKaZPmoblsQxhBqVjnhZnNY/C+bUaaCFBe1xpEYwIxPz9mlFITJ06gfBqw8yPeE49gzpOKCamzxSGpfMVerar19D6lQPiDr3HoMmkYb12NAXt8aQT2QoUYU/v/5R8vL525Zz2sz2EzpPyHYr5bdm1L6E0sjonnmygoGL6iPiBnPiLz8n7KuI2lC7PZRufRKCf7ygZk8d1NNymoD2edCAikJHsx+skvYjZpj1rD+EWcOeIm2ICyQIKX3zw67/NDRTTB+mmh+/PgFjAA8jDn54Qt+6r0OMM9ms7vVlXmoL2eNK+iEC2bH+X20PoYHa5fXBybnHdAtgCnD8P8vv0Bombqd4ews3Um8PiawThhmGPINwwhEPua68Nqzo6FTi7svIt/E8aR2f/o15HCEQIRAhECEQIRAhECEQIRAhECEQIRAhECEQIRAhECEQIRAhECEQIRAhECEQIRAhECGweBI7fPK72qafxFfPjrz51sP/d+umvHup/J/vaw+Sp4lV97WD/O3dbRQws9L+bfeyhQ78SObGPHex/1xzaS1L972fkYYRAhMBmR8Ap9dYDirARJUZgR6U3IJzABx29aWmWevJC/qqpmdBZi3P31kZnnE1cqXuzpabG0IaAj98LZVqvUZu60XvwynnsOfvLBisYrcfRpvTlqoYwRp+XqA9tElRqI6fJ+JPSi6GcM6RDylN+HEqlxuRjstSS6CO4PnLrCAxSOFqdMj7W8Io2FasZMn/vP8E1+qPYs1b7tCl3fh3VEDqXVuXqlUruMrl6XIcaUi0gPPtf5QOf3X7Lr+rrzJ5qCUZ++u32loyPzPky5M4tMwc+u3372Xfn6SvUDlSwKfE3rqm/npEfURXnQ/J33WaEoOgBwnF3Ig9L/tgT+oZWc57WVqVLFaG6GM4QUx8wm0hBYUxLJbTO+KNEaK1+ds9HoPcc03TwNYewUSriGSUUqoFNifmKYkE+r+KJoTS+321EgT81txs6KHvuxd2Pv+ZbwOJTt1XVyi144zoA5KSOzOyTVRXuV/kpH0Vr9bUJz0fc3gLTilpsDFWlIpZhggjVoCDUssSH7/UVuxj3dSD4QbVmWvdiuSfNl6LvXldCE7+vru0gHNQfMoao5H7FZn0UrdXX5oNwXvEbCOPb8GE9N41nlFCoBgVhwo2Chy8LS9rGWE4X+LJBCPP6zoxO20pbla9ShHYQDrVeXVS//K33Kl0AAAmdSURBVPq1Vn+jdZvFHyqSgVDsNawjGVUK1aBN7TLMiMtoVq0nvTaUNgjhbt3bd/qUtqo8pQjtIIzJWisNYRBqrX4RG0KKzITkQniRqiPiVUaVQjVoU+k5wy2WzAJzrdtEhQ1COKa+tR0o+JS2qJiQru0gjHthSYKaQiA0Wv2sFoRxtZt4EH7KsC5nuBSuQZuaWjTcYl5//+Vsc5uosEEIB1S83JflfEpbVExI13YQdjcKjVa/UQvCUT1x3VFIUf04VTN8CdegIRz28BrWq9aAhyrJbxBCRx6AktSb2JV2WbrDiTykV4cQfSGj0Gj1c1sQbllQJIYwlRHiFs2qD1EiXIM2ZR1gYtqvsTmfrXUgNNFWb3m8Ij53ghF7/Hjfblel7+DvrPh0tqjokK44USyKG4w+OyirOdSMYUdO3H2cOJOHi8uRelFFUL+SH/wBW/AFiqWWPzuhwgTh93G3HjQMYTxDLKwikZdccf0STabAGjcLIMo6QsBdKAph4OFR+NILcVZN3putMck4YqKt4nEmc8Zr79jHGDp/+OO7P27dYVGEG4k3sGCbTEVEOwiu8qKrzxeU1UBIfS3LZ1L3FQs4frzxylfzI+4Zp/3i8gmCsCj5aO0PFAu1x1z7kz0NXIM+Ts6iEYkhHMhwkVQs8fPeoudXsynwJqxzPAeBEuJ8UmHgURP5CTqrJx5T+6BxRGDRVdFWPyd/+wE4sI0El+9B65+4TyeIOgOpnRNEape8kK7lR1195YYVlFVDyA+AZ6efeUIsPQcsNUfqQA4RHXh23cm9CgaKHQEzr2pBH8sVwYkhHMtwmVRs3z7z6PbtOcuvhnLGMgVmc/JFkYNACcFIuPCotZDDgqoAOq4jVrTV6mM5PKbTGTPF+tIWhEPyWXEJKJ0kFeYMqLj6/EFZFYRnVt9HysaeWRDF1wuXY7mGxpgsIee/3dEcKJYGW7bR7OMM2ikRhOeUM1xWf/5jRlW0X2GmwFxnAc5ohYET08gseHgtVAonayCVtSPCirZa/iYIPHvfijsNNC0Ik/LpkRI1BlJYUC8XQldfugAxNyhrXK687nXZh/+FVY0emKBXSobDAThIMyVkHBEyGCg2xieOyYJo8jFLgkhFnrgZLqugkn4Iw0yBeSbHEpTF+AXJcAVFCx4LwnQNTMYRjsGqo62W90KGO5oHC71SoFyn+sp5pkjXc3QlLNirC6Grzx+UNW6/whlV784MxxCPfxWEmPvPrliBYgd52Z/ab6JReT6atwPFg5///OP1DDsYBmGYKTBX53SXsMryfnIz1YPBaNUoJAhdR4QVbbUMguBQvqqPPggn5UOgmuSoQDWm6r+6ENbQTvoCQVn9EB4gYZdjC+1DWLpLyLj/7IoVKHZ5P9G3PKciyNq3WYGvJrIYzBCbjg7rG4WhpsBqllISK9Ms/AcqWfAERqHrCLFhyvJJrryAouryLLX6INytz5tEwH06WV1DcxdCoy8QlNUPIe8ZLscyLcUWhE2BYvN7iT72lCZ4Pjo8sUDj7US/WQgZhaGmIEb7mUnLdF9fb2p2DEtvFBpHiMuNturGXhyQDSJ47qGSNjeZKOsnF8Jp8NEtCQRl9UPIw87lmORV2BuFTYFiq6vXIV3z900++iFU58KwURhqCo7mG16vKKhgvKTqLjyBUWgcAZcXbdWFUIcW9UFYVjPMM9O61ARhICirH0KeAC7H0rOs153ITVFO6zwK3Qiyno9+COnpBClkFIaaAqs9Cult8GiFFFjwBCA0jmAMetFW14Uwq4YHq22TNUEYCMoaAqHL0RbCmZYQmmnCE1m7GAJhqCmw22shxY3fySoseAIQGkeE2Elbmuq0C6GOzurdYZzIW7xVCQv2Stp8IV0DQVlDIHQ50oGJ3BQotqwhbPbR3ZF5XCsMPQiPU72MzYWaAre1I6PyrHgFa7DgCUBoHAH4tGqi00kUzdqVUG/mbQhjssAqVXbGNRVda3UuHAeDqy8QlDUEQpdjXj2quhO5KVBsWs103NMJcsHy0T0XhkKIUyjd2vFKqCloss6F2JJW9d9Gs+BhCNU9Waphc9CO4AhEuKloq26XRb2ERts9MWKf5cQfjdaIoUUaxrI5VLEgdFR3Ew3BKQRCl2NMnfNcCEUwUOyUwvj2Zh/tpxNlyF0LF4X4r4CQ/Qo1BX7r6YSeZ1Ml0mHDY0FIxz/XETvaqgdhehvJ2//AOKg2aWrG8bsxtleVQnMT0tXTl68R41CDcqzQ9u3QL/EMR0xNx2oJfHzHg4Fi9dn7XaLJR7OYNa+FVQyTT6A/OD+N5MyZvGGbgjVzJkKRNquXNOhqw8MQqlcv2Rq8U2vvu8CTAaeKtup1eZRv9W41IkDHvwxim3fTqJhfcCvNBRPS1dPnD8oaBqHLUZ2AwqQsIWcIg4FinfosSIkF0eRjmghIzRBOwtsC7vwBjESs/nz0vBULnmcKGq3O0tK/h3XZ8DCEMegQsZkaBqhxxBdttQQy/6UXpz4HNe+3bsyk2e/AIs4US9pdqjUlE9K1XAKJ9fmDsppXmiyodjLhcuzcj+abqwXkfIxtChR7I61BO3LoQsBH874wbR2/1El4/jciOU245MQXcclWAMBFwNIzhamhFgjo5jSjldRrELCC0fJj2bnpvWAyjviirZ4Kws3yZ8jPfYMQL71Jnl9BGen2rXLlxRUuqsws3VaTVVQhXc/JWvoO5sSx6DKl7XfJ07erIrqyvFbh8rmaw/narIg9kH/6CuHcuUYSwUCxTvVREXsvCAEfhXpr7Zwzs/bzHKuEdqVi/EDuXGrSoWabTYFmvbUm4SLBi9QUjBbv3pKfLB64AsqNI260VfoFyUF+zVGA6L+//7pZtODeUeJ91zoYpvipTNFC8jiFdPXre2LPrgnNyb+pMVJlWN3LFcORuub+a0Ue70qXQKqAFAwUm7rg4T9mCb+PYpT18G9qzPQxKi57+JMkwX7h2mQKbda/nRDr4ALlSMFgtIkL3n8VUCILriPMSFmO/nOALgpt0uizbRiInOtE3zr2iNSBGZfF/Aue28DynaqYWrTkAM+cr4pKjv8LtvZcn6o5lZ6FXzDB0zaiudiE2Ua0tZednBg/xBbb+yTMrxk6YW3mube56QVtKc+NvKD6e1Ouf1PTk7D1m5qe5LsWWhLv6FrmhRcYKvRuYyOyPVk967pKT3IvrJCjXtf2ZGS+HzvUU082JvTq3sX/R++iR5Qk/da6txQv9CZ35El9r9cu3daHB4xe+7IxuZ2V3uT5G83eRI80KafUW4+GKr3JkdT/B8iVBJJpB1GWAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "residual_formula = os.path.join(path, 'images/residual_formula.png')\n", "Image(filename=residual_formula) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

    Use statsmodels to Calculate the Residuals

    " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

    Step 1: Generate Ordinary Least Square Model

    " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# generate OLS model\n", "model = sm.OLS(y, sm.add_constant(X))\n", "model_fit = model.fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

    Step 2: Use model_fit.resid to Obtain Array of Residuals

    " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# model residuals\n", "model_residuals = model_fit.resid\n", "# model values (these are the predicted, or fitted values)\n", "model_fitted_y = model_fit.fittedvalues" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

    Step 3: Evaluate the Residuals vs Predictor Plot

    " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
    " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter(dataframe.s1, model_residuals)\n", "ax.hlines(0, dataframe.s1.min(), dataframe.s1.max(), linestyles='dashed', colors='r')\n", "ax.set_xlim(dataframe.s1.min(), dataframe.s1.max())\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    \n", "What does this plots reveal?
    \n", "
      \n", "
    • In this plot we are looking at how the residual scatter plot spreads along the horizontal red dashed line. Example in the left figure below.

    • \n", "
    • If there is no apparent pattern and the data points are randomly spread, then the error term in the relationship between the independent variables (T-cells) and the dependent variable (Disease progression) is the same across all values of the independent variables (T-cells).
    • \n", "
    • The residual plot above appears randomly distributed, suggesting it is homoscedastic (meaning “same variance”), and is central to linear regression models.

    • \n", "
    • If the plot has a pattern, such as the non-random u-shapped pattern in the bottom right figure, then the data is heteroscedastic, meaning the variance is not the same, this is also thought of as unequal scatter.

    • \n", "
    • Heteroscedasticity is a problem because ordinary least squares (OLS) regression assumes that all residuals are drawn from a population that has a constant variance (homoscedasticity)

    • \n", "
    • Heteroscedasticity can affect the precision of the estimated coefficients used in the regression model and a u-shaped spread may suggest that a non-linear regression be considered.
    • \n", "
    \n", "
    " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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EKma1Xprr0PrhsolD/Yc8wV+ZP3Vclejqu/F1LVzr3xtRJosna1vlK/nnC4vwQSDdI1eQxjZcCdG36Hq7mFdcMvGr+DKGLaEnvVIUMbGpIrbPn2k9mnrgl43zcZ+W/uHn/1v1wrWb2y7lHM9qFErllgLOFD/rjZN9R4WFsFgsQ7CAiYDHZVCkt8tJEBoulztlypRRo0ZpG4TW30nuUql000+n/plMESM/wpERWceLdbmpw1Ex9/aOzK8nly+aMeFJ/RaPx9vw9JRx/nd3xN2Nya4vbmi34jPnBFgvH+s5ddxYLGYGDofDdjNlkuruPDOPRYLdrNBW3cBgMJydndeuXdv9afo6yb29vX3R5thypnOX6ZwU4QgOVzHnxd1eNgPHsfqJSZGj4Z/B3n706DC3Qzdz5BYdGqvrchI4yGCOsxG5u2L0pu4AXWWnZPDd2tFzlz9LlhAThw5p9cBYgaSMY/uvqxUejhlhw4Oe4C+OGDb0G/iHpQp5ECMjo2g/B5LeQDh8DQGilQ5LQCRR/uisHgJ09ry8vHqdXaelyfHY+HyGI0Vp7OlShCv407HsBeNCzMxwvQzSHzw7xvtOQks1w7xjSnsnWFzbtuLxYUEo93tCcXFxSkpKXV2dQqFQxZiRy+Xm5uYhISE+Pj56Z8bSsvK9KdUSCx8ibtGQLJclt/H2xd56sgILQTQCdQrE9+Jr5w42mBJZe9dkjqJ9hk39mJHz0FYPRSQSJSUlFRYWdt2BHrRXWFiYhYWFXgqsn2/ck1CuWpMVijoTr5Q7adGRETjnHekHXlo4PbNs7+YirpTJf2AtIYtjLGnYNscuanQYWumh3Lx58/jx4zKZrGu1pSP7TZ06dcaMGfp1U1mF92418AhLosVZyYi5Y2ZteUNDQzcvFBDkSWFlafneU8EJ/7lVbuT54FR3Bsj9IbLC717/A1rpoUAP8IcfftC2hBBU17Vr1zZs2KBNY+l1b5siPOPGxgZt4b8Q5Inz+WtLRxw//1FsQabcjvBMOqJXtFSNMBV+szQoanQ42uehtLS0ZGdnNzU1DRkyxM/Pj81m0/WXHscqKCjIycnJysry9/f38PDQo/sSt0uFUoqw8AkjukJQYEDmv5zf3nFyZ0qj1CGQyOVEITVqLHp9rO0Hq1/GUYmHKwyKyszMrKioYLFYYWFh5ubm6qn0yJZYLAaNNXv27MEnsPSAmNir264WXL/fKpTIA+yNZwyxfGvpNDMzU7SM/rJ83tRnZkozMjLq6+sVCpm3dzhIAfRWPaSxsbG2ttbd3f2pp56C/zuljho16uDBg6Cxmpub0VYI8piYm5v98MbSr0Si+Ph46MzweKYjRjyPK8N6Tnl5Ofj2qKioWbM0BLTw9PTcvXs3KDBt2XVaYHlYGzPbKLm28SkGk9QUDg+O1tlVbHP/tvW00F3OdCMWHfeQSJHEfM6ud/ZvfS5k6pjhOFlHf+FwOCEhIWiH3gEOq6WlBfp/XZOESvRRrTraWnmYVTdImVqdVXuruTGF7weR/kcgEEydOhXt0GsaGhq6HqQoCo53v02hTrfxz48P3LkjV8rRMoOMwQi1lNno6q7g/1NXnAdWnMmlpUY+i/cW3LAUDBsaiAUXMTScnZ1dXFyKior27dtnY2MDrl+hUChrM0Mul9coGTp0qIODg37dl7+3x0jL9JQqheZFpkyWiaQhGhdtIYj+AE4JfFFsbGxGRsZnn33WaaIVdBErKiro7XT0UmCNHDHsJZ/M7+/LpRSr661zxI0/rgkzNjbWwSvfdzIuvt1FzuRqWCKrkAtNnL8+m/GFi4u5Oa5/RAwLJpMZHBwMAqu6urrrqhwQW6ampsOGDdO7OA4mJiarpwxL/C07WepEpA8OzjGYRCpe4C57ceEcLAAIokc4OTmFhYUlJyfXK+l6gqOjI5yglwIL2PzHZ8jXB77P40i5ZuoOi9Nw78K6sGFBQxk6GfhxT0J+i9ydMLW83VTIdtxpebexEQUWYoD4+fm9+uqrhYWFVVVVncI0WFpaBgQEgMbSx/sKHx60WSJdeSA7h9j9Po7VsXdN6wrXlq3rF/J5PHz6CKJHgHdasmRJVFQU+CuxWNwp1dvbu/tNoPVgGtDmPy5Zlpz279Np+XWi/FpRoIPxnADrlbNmQh+XoathtdNKG+WW7kTb7DGqw+3Sb0YQxAAxMjIKUjLI7ityZMg1b/d9528czajJrGxlMhgRHuYrxrjNmYRjVwiirzgp6UXGRxBY5eXlIGgcHBz6X9aMDg3eFxqMjxlBBgfFxcVJSUmtra3QNYReIBzJy8u7cuUKn88PCwt7/ECjzc3NTU1NZmZmnVZW9wPWVlbrn5m1/hl8yAgyGKDDMRQVFVlbW9NrCSmKiomJqaysfGig0Z6u1gHft3z58mPHjmHQqZ5gYcQlaCcE0cTNmze3bduWkJAAMqutrY0+CGKrpKQkNTUVki5cuPA4319dXf3Pf/7znXfeKSgoQGsjCNJr6ECjJ0+ezMrKUg/HUF5eXlhYCJ5q8+bNjY2NjyWw9u3b9+abb2Jkmp4zZ7iLgN1lB0UVDOZoB46JiTEaCjE0VIFG3dzcoqKiVKsFHR0dJ0yYQI9mgS8D7dW778/Ly/vHP/4RGxvL4XAwOBmCIL1GFWiUwWCEhYWph+aBPyMiIng8Hh1o9LEE1vjx40HE6eyEJx3kL8tneCgqicZZVgwmETa8M83X2gp3MkcMDlWg0fnz50+ePFm1WhCUFgisZcuWBQUFVVVV9bo7B0Lt3XffhW8GDYfWRhDkcVAFGl20aFFoaOh/23AGIzw8fO7cuYsXL1YoFN0EGu2RwAKfhWEVHwkTE5PtK0J9mDWdwzR0qKvG98fypo0O0tn4qAjSp4DDamtr66NAo1D1nJyc+n/qFYIgg5XBGWhUr4kIHXbezvqj3+J/TqkTW3kRNo/U3RtqJvny+fBJI4dhGHfEMBmsgUYRBBlkDPJAo/qOh4vTDxuX/FsoTE1NhS57cPAMXQ4tgSD9AJPJHDNmTGVlZXFxcddAo6CxrKys4AS9CzSKIMjgw8nJafLkyXFxcdoCjXp7e0dERKDAGjCMjIy6eQAIYmi4urq+/PLLBQUFZWVl6oFGZTKZg4ODv78/n89HKyEIMuCAd5o2bVp4eHhmZmanQKP0+Fb3Y+0osBAE6W84HI6/EjQFgiA6jpWVVVRUVC8yosBCEERXKCgogJ6ivb09aC8zM9xICkH+i0KhSExO/fhszr3a1jsVLTP8bca6m66bP8HS0lJHrlAmk91OTLqaWy2UyuyMOZNG+AzuHhRFURcuXGAwGF5KUGAhCKLrAuvEiRPDhw93dnZGgYUgNA2NjW9sO72rSEAEDoShIE7kZDM5mabYnHRyz/KgKWNGDPgVFhYVL9hyKU1qS9jGys3gKM7VzDn2tz5/YbKXm/MgFlgsFovWWI8rsL7//ntHR0eco40gSB9hZWXl5+cH6or3ePsiL1u2bN68eR4eHmhSRN9pamr+xy/nd9V5EL7wgbg/DGY11/H5/XnHjLgjgwMHUGfcTkoe/V02sfQgbDn57x4mDCnP/EiD2Z2vr8ZuHO/h4jj4ngtoIW9vbyaT2c0g4iMIrLCwMCzrCIL0HeFKHv973N3d0ZjI4CAnv2BzBiGm7Rob+Qq56fqt525tGTCB1dDQuGpvBrHyIHJZ18u7p7BaveXE+Y/XDEqBtWbNQ+4LXxEiyBMgNS3jfEpeQzux4jNmjvQP9PfDsd7uaWtrAxMZGRnRf5aUlOTl5XG53MDAQCvc5ABBlDQ1Ne++lk8sXYhEqCGZogiHX8rxuJ2UMjKsp8HARSLRwdNxOXUSHosR4Gg6Z2Jkr9ftyuXy28kp6cQVPmk+gcm+JXW+fO36+Mixev0gGhoaVCNVYMC7d+82NjY6OzsHBASgwEKQPpNWWXmv7bwU32pDjCyJQk6Y7LcS7k61uf7tSxN9vDzQPl2RyWQxMTEgp+bPn+/r6ws+Gv68evUqm82mKOrMmTOzZ88eO3YsGgpB5Ap5k4TqEFLaoCgRg5t+v2ZkD94wicXiH2Ouvno0j3IYShSyju1y06TG+3e9N9n5rRVze3F58IXHM+sIy4HIJFouj8iY7Dv368dH6usjKCsr2717N3iqhQsX0n9u27ZNFcPPyclpzZo12qY04GaoCNJ77mTlvbA7LV7uTfjmHeoKALdlZHFeOmThtlsp6Zlooq6AhLp8+XJNTU11dTX8GR8fn5CQAB9sbW3BW0HvMC0tjU5CEORJIRQKPzt4ZX28grL3V6orpfxhstush7yXyv3b9wfRRF2pq6vbunVrY2NjYWGhRCIB7wRii1ZXXl5efD6/oqIiKSlJW3YUWAjSS0Ri8ca9t+4Izf7rqtSRitMZnl+dTq1CofAgdAx3IyOjZ599NjIysrS0FORUa2trUFAQdATXrl0LH4qKiuA0tBWC9AQuQ+5mY9r9ORRF3UpK/fstOWFxO4+HUZSIcL7NN9p3Mg6N2clomZmZIKd8fHw2bNjA4XCuXr1K7z+4ZMmS1atXL1q0SKFQwDkosJDH4uj5q09/+IvJ8q8Zz3w1dMPWt//zW01trYHbZN/py3eFph27TGocwJeJf85nJqZnY+F5QHlKpWKxmB6sgj9v3LiRk5NjZ2cXGhpqamoKqWgiBFFhbmY228eIUHKibU4npTBuq4ga+ZAJWHX19R/F3SN8kwfWIf7+JaRJxvw2NutRL4/P588LtCZyacfbRo0wCJuSDXfT11mVIpEI5JSnpyeXyy0vL4+Li6MXD4aE9GjGG87BQh5CdW39+m+PH6uzlbJdiF1HowhyPfMed9e7J7Ys8lswYSToesO0THJeabXYjvAVmpMVCsI3r6ipxyKkjoWFBair5ORkcFUsFis9PR3Kz9ixY4ODg6urq8+ePZuamhoYGIibPSMIAHUkclRY+M2LicRVwzwnBtOMIdoQ5fTQWert7ZK0qnZirG0uF0WxuHkSC9AQdM+n55cXFjLc9cjxEoHX/147PniBCqmfonh85Gw9tT9Yg6Ko+Ph4hUKRlJQE6kogECxatAh6iRkZGTExMUwms5vNnnEEC3kIb2w7ebTBScoWPND1kUlqTLyeO1p5PTHFYC1TUd9KmCytyeBuLJ1BgwmFQixFKkxNTf39/U1MTO7cuUNvgj58+PBRo0ZBUmJi4o0bN+AEEFu42TOC0Dg7Oe5YNsJeVkOYDw6IMBhsefskfunrz8156Je0t7dXikh3k+VBC3GMGhsbH/XyLC0sti8fwRDWgtrT0KGSN29bM0lPLQ9yiu7siUSi2NhYMA4cmTt3LvQSQW8dPHgQrOro6NhNBCscwUK6Y+/JuPP1ljIW978zuB8UEHJTx/9cKRri5eFgb4jNoakRl7Rpd1igvdrqHd3NVJEIEJrRo0eDzwIt1dzcHBAQMGLECNBbRLkJdFRU1MiRI318fAzZPvUNDfvOXY/JqmsWSrkclr81Z9WU4NDgICw5BktwUOD1Dcb/OpSwM7VJ7hDYMZQlbPBQVL47y3/lgh6FmOJwOAKmXNRd7BiKKRWCdHjUa2OxWJNHBZ9jMJZsu9FgGaAax2JS8mBZ3s61k4YPDdBfyzOZzLVr10LfLzs728rKKjQ01NPTE44LBALQVfQehd1ERUaBhXTHgYTs6nYPwtEiI+Sygzntf6muMUyBFerjfLRR0aht8gEIrMYyX3cnLEVdcVfS6eAwJQZumRtJd17an5klsyMM547xBhm5WMHesb3wdc/bH7/+AgZXM1g8Pdy3/cn9a6EwPj6ez+fb2wf7+T3d8+wCAT/azehcm7bywyAyqZ2s5pHeD6prrCljRlSEBBw+HZdaKbx1r3m0u1m4u+XimesHgeVBS0UrecBeDMbTTz/c/iiwkO4orW8jXGbnJXJqnR4FiyNubzdM4zwzdez+jLPXJGbKCZ5dTMRkT3Vl+nm6YSnqilAoLCwsrKqqUigUKtEgl8stLS0DAgJMTU0NV139lpfFgDIj/v1tjlwm4Zp9WsyVfr37y9dXYOExZIyMjKZNm9aLjGamps8Ntz53RdIxWb7ri0IGMeUo1kU/1t7MPB5v6fyZSwej2cvLy8FficXiTse9vb3pAS0UWAjyhLGztV050jY/obmKZa5cR6NesbiC5ntvz3bHWKNdycnJOXbsWHV1ddflEaC34KBhBhpta2v7NT4rS+FC5F16LAo54RrtKzMfGRO7dM5kLELIo8LlcudNGPV09tnf6p2JrFMBY7AoebRp7drFKN+7DCFQ1G+//ZacnKxx8Dg2NhYDjSK9x0xAB03R/mJCIWezDFemv7hg+k9zbb0lhR1NIF0DOzqICm956Yml7lOiMRw56Sqh0tLSSktLTUxMnJ2dfXx8vJRAX9DDw8PU1LSlpSU9Pd0AA40mpmUeK2HTTl2jp68QMRPuFmIRQnqHpYXFtldmrnYoJaJmtQnpFK+9YY1L9Ym/L0MTdaW8vJxePGhlZeX1II6OHTtYdx9oFEewkO6YMcIjKY1q0vaGkMmKcGLbWFsasommjxuTGhp0Lv7Wpby64gaxgxl/jr/FpKi59MRtpBNlZWWgrsBbPfvss/7+nV9JVFVVHTx4sLi4uLKy0tAWEt6vqLnfxiQmWqJ+UHJibFnUVNre3t7NpFoE6QZzc7Pv/vj0huyc47fzSpvaq1okEe6mT40dbuDLSrRBUdTdu3eZTGZQUNCyZcu6psbHx586dSozMzMiIgIFFvLIbHxu9rG7P1+TumuYZsRkEUnbWxOsPdxcDdxKoKUWzpi0cAaWlx6hUCiMjY0FAkHXJCMlcIIBmkUskWhc6K5y54TFaVewWltbUWAhvYbFYgUNDYR/aIqeo9rmWR0GgwHHqe4iX6DAQrqFzWb/6+mR63+7m9FupYzCQv2uroSNb4dxJ0REopWQnmNhYWFjY3P79u1jx475+fnRGzzT3gr+LygoyMnJcXFxMTMzMzTL2Ftb8Kjqdm3rBEF7SYRmfJm1tTWWIgTpH5ycnKC/Fx8fLxKJzM3N1ZPgSFJSEpPJpN8VosBCesO48GHn3Bw+O3h1e3xRi7UfEZiTiqxQG8Y/nh0xfcxwLpeLJkJ6Dh1oNDc3t6ysrKKiolMqLbYCAgI8PDwMzTJujvbDbGoSJVpC1zKZbFFjyBCdfh1fUVn13bHL10rEUqmMzWZ6W3BenBAYMTIEiz2ij9CBRkE/VVVVJSYmajxHIBBERkaiwEJ6j6Od7ZfrFn65joBgr66ujopaarAL6ZHHZ/To0fb29ikpKXV1dZ3CNEAfMSQkxDBnhIwICnjmZlpiZnvH8HCnuL7KpfVjrNpXzIp+sj8KvXAQu9B+gOV9fX2trHq/Z9ypC5efOVTeaury3x1dpORiO+vXX8s23sr8cD1OoEb0EjrQKDR8hYWF7V0CEnl5eYWFhXUTnRUFFvIIdLMnAIL0HA8laIdOvLhgWmbj+Z33zQmHS9QnojHZTqRh3ShrdxfnJ/Vbzc0tO09c/DyhrpRYdwxLSxvMRCdeCOS8uXiCq8sjR5s8FXvlmZPNrSbOD+yXp5ALWSaf5FDtX//y2R8xBACilwgEgiglvdFnaD4EQfqN6urqw4cPf/HFF7dv30ZrdMLayvLb9U99O55l31JIJMKOoSwmm9XeNI+beeZFvycYAauqpua1XRdfTzYp5bsTnnHH9iYsTrOJ6+YSh7nfXU/Lzn+kbyu6d/8/1ytbeTado8EpNZaMb3m6QpCcloHPF9EvKIoCN7V169YdO3ZIJJJefAOOYCEI0n/Y2dkxGIyMjAwcDdUIn897ZeGUP8wQ5ubm0q9Q3dyG+vktfLK/svdE7M/3HTpWBj/wLrIj4t0dodnGX2/G/NVFwOf38NsK75eduicnljLNyQpZjpi3JzYFt1NE9AvwVF5eXgcPHmSz2b2bbYwjWAiC9CuTJ08eP358WlpaWVkZWkMjRkZGI0aMAENNnTrVz8/vyX55ctrdH/OYhMXRsIM7RRE2767I7MCZKz3/wlahqOPbtK1XpygZYeWU1eJjRfQOKyurFStWgLqKi4vrRXYcwUIQpP8Qi8UxMTGpqakCgWDLli1dT5BIJNBrnD9/vrOzM5qrLygqrUivZxAzbRFNFVUS1smbWX+YPw1thRgyFEUVFBT88ssvTCbzvJKu5zAYjMlKNH4DjmAhCIIYEO0SacfsLkL10+8pl0CaCjCeC2Jw4AgWgiD9B5fLnTJlyqhRo6BTqPEEhUIhEAhsbGzQVvqCq6Odj2lNPoi2rpPclQrLlq+YGOyFhkL0CwaD4ezsvHbt2u5P0xjnHQUWgiD9DegqOyVoioHCzMSIyJsIo7sd3B2tHiHQXXCg/5rQsrdvtBAOX1MEL/lYo6o1T69CyyN6B3T2vLx63zdAgYUgSH9z7969mzdv1tXVsdlsoVA4efJkDw+Pc+fOlZeXh4SEjBw5EncI6Dv8PN2muladbwPnr2nlOYPlbSqfNTrgEVoRNvuFqeE5dQk7irj0C8Hf1ZVcNpRT894z0Wh2RE8RiUSJiYlZWVl0SGT4f9WqVXAkJSUF5NeUKVMcHBxQYCEIohOAtDp+/LhMJqPfEra0tISHh8OfZWVlxcXFubm59fX1c+fORUP1Eb7enm9PqIzfe0/UKS4o6dhjlCNvW+Ammj5u7CN9p62N9b//MDEk5tKn12ruU3TkUpGJsHLVcJP/Wz7HysIczY7oIwqF4ocffqiqqvq9iii9FviogoICEFuZmZlvv/22tmDuKLAQBOk/QE5lZ2e3trYOHz48IiIiNTX1woULoK7AQ82aNQv6hWlpaaCxQGlhqPe+Y0r02F/bhMuOlwtNnH7XWEw2R9L8R8/6z177Qy++09TUZP3SOSsXiPPy8iorK01NLXx9R+LW1Ij+QlEU6CcozEZGRpGRkQ4ODr/88gudBH1COJiUlASp165dmz17NgosBEEGmMbGxpqaGk9PzxkzZjg5Od2/fx/UlUK5LYy3t7ezs7NEIsnIyGhubkZb9SnzZ0zOGVb+3fGrN8rapTIZm8XytWK/NDFodOhjjR3y+fxhStDCyCCgvLycwWBERUVNmjQJ3BT1v9ffVlZWcBAk1/bt27tuWo8CC0GQAYDD4fB4PNBPIpGoa2pTUxMksVgsNFQ/4OLs9M9XnkE7IIg2BAIB3S3smgRiC6QVo5vFIiiwEATpT6DP5+LiEhsbu2/fPnt7+/r6emtr68TExOLiYolEUqNk6NCh3cwbRRAE6QdAPAUGBsbExNy+fbusrIzP5zOZTIVCsW3bNqKc/E4LLDgHBRaCIDpBeHh4aWkpKKrW1laijIxVrwQ+y+VyKyurMWPGYBwHBEEGHHBHkydPjouLKy8vVx0sLCxUffb29o6IiECBhSCITuDq6rpy5UpwUlVVVdAdpMfYKYqC3qGDg4OXlxc9LI8gCDKwgHeaNm1aUFAQ+CuxWKyeBG4K1FX3Y+0osBAE6W+MjIyClKApEATRcZyU9CIjCiwEQfqVqqqqW7duVVZWUhTVdYqoVCoFXxYVFYW75SAIMrCAj6KjjLa3t2s8ATxYqBKNqU94s+eEhIQJEyZIJL8Hr5s5cyaLxWL8j9OnT9NLsgFwsgKBQJX09ttvq2c0MzNjqKG+bPvLL7/k8/mqpDfeeEN97M7a2lo9Y21trSpp8+bNxsbGqqRXX321ra1Nlerg4KCeUX3t5bfffmtqaqpKevnll1taWlSprq6u6hnv37+vStq6dau5ubkqadWqVU1NTapUb29v9Yz5+fmqpB9//NHS0lKV9OKLLzY0NKhSAwIC1DNmZmaqkn7++WdomVRJK1asULfA8OHD1TOmpqaqkn799Vc7OztV0tKlS6urq1Wpo0ePVs8Iz06VtH//fnXTLVmyRN100dHR6hnj4+NVSYcOHXJ2dlYlLVy4sKysTJU6efJk9YxxcXGqpKNHj6rb/KmnniopKVEvcuoZz5w5o0o6ceKEh4eHKmnOnDnFxcWq1Pnz56tnPHbsmCoJyq2Xl5cqacaMGarX8DU1Ner3CDa8cuWKKuOnn36qXuSgkAuFQjoJnsukSZNUSba2tur3CIXcxMRElbpx40ZVWa2rq5s2bZoqCR732bNnVRm/+eYb9YzqhRyK0OzZs1VJVlZWJ0+eVGX8/vvv1Qv52rVr6TlSRLmIBowMByMjI9PS0h7HRcDFw1OAOwUDFhUVFXahoKAAioE2d/YEgSq8YcOGXbt2qY4cPnxYvdItWLBAtXoITl6zZo0qCQxFT3RVlSswpnq5UtVWsOG6devUM3733XeqjFA41f0VlCt6LhoAT+2Pf/yjKgme6VdffaXKeOHCBfVq/oc//B65Kjc3d8qUKaqkIUOGnD9/Xr2aqxfyZ599VpUElp8+fboqycfHR73uQG1Vzwi1VZUEz1G9XHl6eqqXKzCOekYwjioJXOW8efNUSW5ubuqV7ty5c+oZp06dqkoqLS2Fp6NKcnFxgWenSr106ZJ6xvHjx6uSwDU9/fTTqiRHR8cDBw6ot1/qGceOHaveKwBbqZLs7e337t2rSoU2WD1jWFiYKgn8w/Lly9WruSqWEgC1ST2jengLKAnwWNVr686dO9WfsnpGPz8/VRIU2pUrV6qSLCwstm/frkoFj6eeER6WKgkaWaj1qiRogsEnqFKhVqpnBJurkqCsrl+/XpUEHm/Lli3qFlDPqD69En4xJCRE/RdTUlLoJLlcDoVBlcRms8E/q//iyJEjValGRka3b9+mk0BgQPGDg1wuF9zv46srKPkgsAq1o9409+0IFhj9hRdeUF9lvWzZsjFjxtDRI8BkUGlVfVZoXP/2t7/JZDLaKNBKqWd85513VHoLPvB4PFUSlPt3332XzgjfCZ1dsL4qlW7D6F8BNw2mV1cJf/3rX6GLDJ8he0REhPqOHG+++Sa4UTqjSCQCV6hKgmf5l7/8Bb4NUiE7XID69UDjB2WaDvAKPw2KSpUENQ1uBPQfnREuQD0j+Hdob+iMUGKgCqmSoNj9+c9/hsuAjHD7o0aNAk2pSoXSDBWeNhd4cKi06hLqrbfeoi0AGel4aKpUkIbl5eV0RrhZ9ffHULchIxyE64E7hYxQT1SpIA3BwdF2hnPg2amSgoKCwHRQVeiMoOXVTQfScNy4cRwOh65O4EPVZSKIYzAdXA9kHDFiBFQwVerzzz8PJUeVUd0R+Pv7g82hWNMZg4OD1TNCkQPr0U8WMkKRUyWBG4JGCzwXnRFuWT0CLzhQuCT6AUFGdZ8FXwIZwVOABSDj0KFDVRt8gnnhHqH0wi9CoYKn7+7ursoIZQyKHGQB48AjBhvSd0RnpO+Rzgi3oH6PUMboIgcZ4WmCFFOVVcgIuhmKFlwqlH9oekGpqzJCUYFfhCJHZ4QOj+oXoQg999xzYC5VRl9fX1VGeOLwi1DkwDiQkb4jVUYwDvwK3Dg0LY/jIuCbwQ7wzWB8JycnuharAxcGtlUvQn0EPErQ4uqNKDx9qHRweWABMCAUSFWlA4vNnTsXSgsYH64QeobqfVYQMeB2VBnBwqppZHCnID7A1JARvBx8IdhZvVxBRqjCdIEE86pnBL0Fv0tnhA9QVFQZQe5DbaUzwiNTTwLFBuUKXBZkAfPC81IvHmB2qDt0fYFLVb8YMDtIAbgvOiM0hOp1B4yjykjXVvWM6uUKLkC9XIFxVBnBI8E9qpKgskBHDo7QGcEBQtVW73+qZ1RPgoPPPPMMHKEzwnOBy1OlQidKlRG8rvpdwIMAgQVHICNYFc5Rvx7otoFHosseWEA91C1kXLx4MdRQOiOco/6CG0qyekb4HlUSeFEQo+D34IFCRvgecNGqVHg6f/rTn+AgXfJB8KmSoCSAiARPCxmhAYViAG5N/SmD16VdNHytehMAZQxkK3wznbFTWQVbQcmhGwXIqN7owK2B/AXhDh4DMsKf6sUDbAVllS6fkKrucuH8WbNmQTGAOgVJ8LvghVSp8FtQreiqBKn0zap+ESQdNEngrCAJzlE1SbRqBFdGuy84AQqSKiP8xOrVq+FH6fYazlE1SXSnAqQFfDl0CB/TS9DiCawENlQFweqEut/uPL6lLY86eXl5mzZtys7Ohmrz97//HYp1p4F96PdAJwm+CpoT6D2oHDqCIIg64NN//fXXyspKaJJ7N62he0A0wPdv3boV3BH0CkAxdJoyn5qaCt2MmzdvQnO4efNm6BDiQ0EQRCNlZWXffPPNtGnToIvbi+w9ekUIEhvc4po1a0BFgvgFoY12fxw+/fRTaANU71/0BdDyGzZsgD4NFDi9C7RNv3CBi//444/r6ur06MoTExMPHDhQVFQEn3/55Re4BdAEd+/e1dPCDz6EHm7Jycnpi++HmrV79+4ZM2bMnj1779696m9VkF4ABQ/q+/79+/XrsqVS6enTp6GyPPXUU3fu3NGvi5fJZBcvXoSLnz59OvQE9OjKRSLRkSNH6BkLFRUVS5cuhcqu/jJd74BOYERERFJSkvr8pZ7z8FeE+fn55eXloAlAwfn7+7/xxhu5ubn0HCD0Pr2gtrb2zJkzEydO1DudCq27n5/f//3f/61fv37UqFGjR4/Wo4vfunWrm5sbaKz3338ffNasWbP04rJjY2M/+eQTDw+PyMjIvLy87OzsHTt2nDx58vbt2+qvNvQI8FOlpaWgd+Pi4kAmCgQC1aRMVdPY60nu0DKBIPD29n799ddByVVVVcGfcFB9CgHySMAzAn2vPlVLX3RhQkLC559/DqXrgw8+OHjwoB5dPEiTEydOgKcyMTGB/9UntOkyLS0tX3zxxalTp0AkwJ9Xrlzx8fHZvHnz6tWrlyxZoj5zRo8A8QOPo76+/uuvv9a4o3P3k9zZPbEa6djI01T1v/r87gHh8OHDoJGnTp06b9489UlUegH0qo2Njem34/p15dAugpa3srJ699139W4j3qamJl9fXy8vr+bm5n6YQP2kCAsLg14gWB7kOFR1ML6trS1UQ5ApcEf66LOgwYMbaWhoAGmlvqZBXYFB1ejdMxIpgW+mYy7DB7FY3Gk+ZT8DsnjPnj0g8pYtW6Y+T0gvqK6uBk3P4/H0zlmBghcKhVDloVHUu+WoUFqgmxEUFAS3oEcvOqC6zZ8/HzwVXDz8X1tbC/aHxs7BwQFquj46Kyj24D0KCwvBmaiCIXcVWN3MwdK/jt2FCxd27doFbfyHH344YsQIeiGevlw8uPvY2Nhx48YZGRnpnc+CQgbqZMeOHSCz1CfO6wVwzYcOHbp27ZqZmZn6DH0dB5oHuFqo2J2GefQXNps9bNgwS0tLbTM1+22Se//0ScBZQW/Kzc1t3759mzZt0q/rT0xMTE9Ph1ZTfbW1XkAvKkpKSgKXqy/D1SpAi0Ct//Of/+zo6Pj407T7s2r7+PiAnNK7pq2bUgR9WnpNbjenDSqBBf43Ojp61KhRLi4ulZWVHh4eejT+v2XLFnodmR4NoqgAUXXy5EknJ6dz585BU6Ffr6igIwVmh8IDd6F3o56DCVpgqS9HH8RIJBJwU35+fqCPq6qqampq1Fd76TjgXXNycuDi4RYyMjL0rpiBwQ8fPmxiYpKcnPzxxx/r0cWzWCy4bCgz0KcdHD0N/QUElnp8kEcuh3p3w9OVQEsJld/b21u/ZleANDEzM5PJZNAjhA+LFy9WD4Wg47S2ti5duhS6s1DgNO4ursucP39+7Nixy5YtW7hwYVFRkfoic6T/gQ4GtN/QeNCrxFtaWlJTU6FGgwgODQ0NDAxUj9iiv3h5eb3yyivwYceOHUKhUI/UFVFuuHb16lWKom7evAluFjpXs2fP1peLl0qloAvfeeedzMzMTz755JE0MT3tGLph0JlUD/HQb9TX10Nd+Oyzz6DMrF279i9/+Qt6jIEFngg0eVCd6T8LCgpAtcMRKCGRkZEa52bpq8Ci+eWXXzpFP9ILPv/8czr0ZW1t7ahRo3DPNcQAqaurO3jw4L1790Cvg8AC53XkyJGMjAw+nw/NeVpaGij4GTNmDJr7TU9PB7GiHsZJLwgKCvrggw/g6Vy8eBFkx7hx4wZ3sYR7PHE1+c9HMgoU1sTIksglTGHyOIu4f/9hwojAIVhtDRNVrFF6Cq/qT/qlIdTrpKSkDRs2aNNYDw/ToD6xXX3C+wBSWlr67bffrlixQu8ECojCYcOGOTo6Ojs7Ozg40CFG9YXp06efOnXq1VdfhaLW/Q6XOkhERMSVK1fWrVunX3OwVIhEovHjx5eVlX388ceXL182NjbW01U5CoUiLi4OVBQdNR6O3Lhx4+7du1wud+jQoXSvA/5Uj7DfcwRKwFZiJfABRNvAegmZTHby5EnoUD333HP69aToIJwhISHu7u5gRv16V0VvHgct3/Hjx3vyiqe1te1fe84tPlpXwPMmfDOikBMGQ2FsfUnqPeG7O5//crw/L141B2vr1q16NAdLXZSwWKyRI0du3759y5YtUJcDAwP1VGCVl5dDbxBaaqgC7e3tDQ0NdJh48CqTJ0+GdhCczLVr17Rlf/gIlo+PD5RUsFR+fj54dvjGIUOGDOy88r/97W/Lly+HZ6ZfAkUFVHhwu3r3ch3KE4fDKSgogA/qAdn1gmnTpoHBs7Ozo6OjB2TYv9eAnwoICKBfpW3cuPHSpUuenp76FSNDHdCIJSUl0H4sWbLE29s7IyMjJSUFPNe4cePmz58vkUja2trgYO8CrbHZbDAO+LuvvvoKnENWVtbixYsHdhbB0aNHc3NzV65cqafhl6EhgZ6V3s0Ztbe3hx44tFyWlpZQ9x96/o2k1E23pcTIiig6by3QxLH+7k7t9JH5w/z7yW9AZX/llVfOnj0LjboevZYl/1tISL/fB2n+0Ucfgcvds2ePnjorUIrQ2QNPEh4evnDhQugcnjhxgt4kY+3atVDGPDw8QBqpbw33yAIL+OKLLzZt2gRq2tfX97PPPhvY6RHgsMBvhoWF/fjjjy+99JL6BjJ6VPn1tMCNU6KnFz9Wid5dtqUS+rOrqys0G0TPAbcFagNqLsip5ORk6COCY6G3AYEOYlNTE4/H67UqogeK1CO5D+CdFhUVxcbGNjY2gsYCjdK7YNADC3h7vRuuprGzs1u6dGlPziwtK//iSikxdSVSkYZkBqNQYvKP3ecPfdh/HTNzc3PogehjaVG9H4A6HqmE6D+0zMjMzATtAeoqKioKGnHwMCCtGAxGNyKkR14M3N/u3bt15Fa9vLxAPMrl8q67mCGIAZKSfve7MymHMhvrhTJbY84kX8vXpwWMCQvRzasF/+vm5nb58uX9+/dDj7CystLExGTkyJHu7u6pqakXLlwoLi6G7pP6pmyP6gpfUqILN2tqajp79my4I70Lc2BQNDQ1Xy+TEjO5tg4BYfPymxn0sj40l+EA4mno0KHQR4qPjy8rKysoKIAj0N2dPHlyfX09HE9KSoIi0c0LUP2b5B6sBJ89ggDv/Wf3R9lmUr4rsXQklqSGkP117P07iv9+p/TdFTN08LUU+COov0VFReXl5fTWsNHR0fTmOQ0NDaBFQGlBB1E1aKfX2NjYzJkzB0upjtPS2tYkZxOt0ZtAYHHFDNOSkhL1fdwRQ8DJyQn6e8nJyYWFhfTUqxUrVvB4PHCtGRkZcCQ8PFxbGHeiv6sIEQT517b9/8oylQnMiVxtNFchI0ZW76e22XGPr1++SAcv28/P77XXXrt7925TUxMdZok+7uHhAc4rICBA71YHI3oNm80ilMFtsCuRSFJTU8ViMT3NGouBRkBCLVmyBLp8mZmZVlZWQ4cOBXVFH582bRrYrZsooyiwEERfyczOPX6PyIxtNUwcAY0lMN+SLgxNTB0brosRv6AjCD2/Tgc9leCTRfoZS3PzoVbMu9rW1DOYRNzqxq4dNMNX90tKPjp4bUdSndTKk7C4zKYLwSatH84Pnj0pCguDRuhFqZ2EV0+ml6HAQhC95EJiZkargHC0zERUyLNbmbn3SnVBYEFf+cqVK8nJyTNnzhw2bFhsbGxWVhbdEezK42z2jCC9wNXZ8aVhxn9K6wjNoPFFoTmXmh7sMThuNisnd+rW9DKGA7H7b9hbhYVzKoPx9Mm2jbkH//nyYgMvDBRFlZeXx8TEsNnslStXlpWV0XEZtJ3/uJs9Iwiig9wpKGuTexC2lj0KFTJi4Zx5L0Mmkw34bgf0RjE5OTn0Kk74nJ+fry081eNs9owgvYDP5y8YN+JgTsJ1qSuRiju1n0QuGW9W8ebzKwfBnVbX1Lz00+0yphvcVCdZIWJwvsk3djt4Zu3iGQZeHoRCYWFhIT2BVSQSFRQUdLO4YbBt9vxQwH3/c9/l/Xeqa9okFGGMcjVbEWq7etF0bT1mBBmUHTHC4be1S0GpDLjAovcfNDExocOnGc5mz4i+4Onutmc1WbY1/rrEhjD/N+GdweTIhPNtare8smAQ3CPUrISbiTckLoSSavIYpEXO2nKlcK1hj2GpNnimw1EZ3GbP3XPk4q0V+3PbBA7Ewpoog9ffUpBbyezDWb/tWjPezdUVXQkyOPB2smHXyGTaaj6LQ2qLhkXZ6cJmlyCw1Bf/Gs5mz4h+aazzf33q2MUbB1Iq6lrFHBbL3YKzPMJ7ctTswXGDra1tMbkthGVGpBrnFVDgNMo5rmcuXZsxIdKQS4K1tbUq+r/BbfbcDRdvpjx/pLTNqEsEHYXsotj1tZ+u7v7jXOwZI4ODsUO9fApLsuXQzdLkLhlMV4FsiIcOBdyXSqXFxcXp6ektLS3R0dGqnVOBxMTEq1ev2tra+vr6BgYGYiVFBgTojTw3Z/JzgzSwhlAkii8RE3Y36yUpKcW8V9uCJYEoN3jOzMwsKioCvTVr1qzfbURR27ZtYzAYTk5O4KwMaBXhn/YktLF8NafJ5cdrbc5eS5o/JWrA35ggyOMzMWLk+Ct3siuNCZvXsXWaOkwmkQiXBnKjR4XqyNU2NzfHxMSkpKTAZxMTk05zQsGXFRYWVldXp6am2tvbz58/H5QWPmIEeYKwWEwLPovIGGiK7gEJlZGRcfDgQYlEAkLK29u7Uyo9Kwtc1rVr1+hddLR91eCJSwt3W6CwoRjatvHpmJJyIqMKJ88ig4Z/v778WecWIpd2rCR/QF2Jn3Zu2TB3lO70JRISEhITE8FbmZmZubm5gcZST7WysvL397ewsAC3VVpampycjPUUQZ4sAj4/yoVHmN3sdMcQKMTRgW4GbiihUPjbb7+BuoLPjkoesJFSctED8CC2wK0VFRVp+6rBM5ZzJ+++nGdOKEaHltKiS+9UimUyOdY0ZNB4zJ/+OG/i0XMfns8pYTkSc0dSk29Pmt6bE/jCzIkCga5s01lXVweyqa2tbebMmfPmzeu6JCdcCXy4dOnS8ePHi4uL79+/j4NYCPIEgV7NnGCnL3IaCUdAqK6rjxkMebsfszwwcIEhW4ne4Bk6eBwO57XXXuu6cTAIrDVr1hDlAsPNmzc3NjZCh1Dbi8LBI7AahRIFwcFPxLDgcrlrlsxZs4Tk5OTk5eWFhU3t9S5+fQdIq5aWFhsbG+j5db+bG5zg5uZWXV0NzgsfLoI8QUAZhAQHrU46s63CvHM0CqW0sCatn6wYb+BWAoHV0NAAtvLy8uqqrtTh8/khISEXL16E87WdM3gE1ggPW/bVMsLgaBvAgvLlbs5hMlGEIYMQPyU6qwJ5PB509erq6ro/s7a2tqamxszMTFuULOSRe56NTXvOxP+UVJ1Z0cxmMqb7Wy8JdV40YwJaxgAxNzf79IXpTd+dOlBpSdjc36OqUgqr9qpflgWODQlCGQrOhw43KpFIwHd1czL9crCbjVMHj8ACLemzMyGV5atlGhYDNPuKcCd03AjSzzgoycrKio2NBbfl5OQkk3Ve+chms6uqqrKzs1tbW318fDCM+xMh6U7GC7+mZ0htCcOd2HW0pgfqmAdOtk6+uuuH1ZO9PTBsjcFhYWH+8xsLl1659fPN+9eKGmpaJX62RnMCrP6ydJaVlRXaBwRWYGBgTExMW1vb119/HRoaSmkK7g8HMzMzKysrDSjQ6BfLIubtKWplm2tIY7KGM0umjl2gX0sIpVLpgTOXDySVJ9xrgt5noIPpzCFmaxdOwXXsiH4xfPjw4uJiUFfpSrSdplAoTExM6EikaLTHJCMr99VDWRkgrYhIfayCcI1jhbyXd145/pdFAv6TnKh3Nytn2/k7Z/Iay5vE7pb8KHfTFdH+ESND8FnoFDweb/7U6PlT0RKaAaEZGRl5/fr1+vr6CxcudH8ydBe17ZMz2ATWxNEhb2YUf5TS1M4176SuPMUFR96cZG5upke3U1Fdu+Sr0wlCewXThVg6w5FKEYnL4G67c/TQqvCgwIABv8Kmpqb9564dv1tTL5T52BjNGeY4Kzq80wIxBCHKyVXLly8Hn5WRkQHFho6SrA4dwN3Lyys8PLzTumikF8hksoMXEm5IA4i0rUvvW0FY3IQm02/2nnz7xUVPqiu47cSVDecb5Cb2hGNNbEgGKLxy1s+/lm28lfnh+mW6YJDElDs74wvulLVYCtjR3hYLIoYGDPHBooJ0gslkzps3D5RTSkpKYWGhtjDu4KY8PT2jorrbIXuwRYR6b+WCWanp7x9JPpNdK7P2Jm11Dpz2pSG2/3xpqX69HBSJRLM+jUlVuBDmg+si5ZJclsfCbYkX3jB1c3UZwCvcdujsX2OrarkOhOkKV3i9ivFLebv7mSP7VwSNDsc+K9IZOzu7p5SgKfqB7LzCszXGhJJr3L2YKORCrtX5nLuviURPxDEeORO3Pk5CTGyJXPbAr7BMvswj3K0H/r5myQBao7yi8rUfLxyuMCd8W6KwJm3kTBr14e2U1d7Xv35jBZYWpBMgqkYqeczvGYQhN0eOGHZiRMdGHGlpaU5OUdbW1t1vJKSbfLrndB5l3xHfqKt/lEvy+L7bTl3/87KZAzVc9PnPxz5M4zQZuSlDXCqvEK6Tyb7Hcp+55/4JuTxydDjWUgQZKGrqG/IbFYSvZS9w5b4oEgW7tbX18QVWRlbOx9ebiLGzhrVpCrmIa3GgUDwnLSM0eGAmUN8vLVv1Y/z5Ni/CFRGFyiAMEd/m2xJJ86e7d769HAsM0hcM5pjmqr3P9JFfr+e3mQzX+nzk0tNF0pebWwZEYN0rKd2W1tZEOXb0j7tcWAPP7utLBV7uro4O9ljBEEAsFh86dOj27ds9acslEomXl9f8+fOdnZ3RdHpBSUVVSh0hZlrEnEJWKOEfv353QAQWlL39cYnnWxyJoov4oxQyFi+mxmLH4bMrF07H54goBwqo/Pz87du3dx9QRgWDwZisRGMqEw2qg+Tm5raZexIOT/PwvrIUpNeIRWLxgFzejlPXyxTmWpPl0t/yZCXlFfgcEWSg4HG5JlxmP0QGlMlkGfn3iZUbUUi1OSuRgpmYVz4gdiirqDycK+4IX67Rl1JUbTvr4PVsLDBIX4C78ukrEgVTLh+YqPR3S2rbZO6EQ7R1WImNZ1pWHnRYcdtHhCjjYE2ZMmX06NHQKeRwOKWlpQkJCUOGDAkNDVXfEgdOKygouH37dkBAAA5fPSZebk6RNlnFzTwi1bTpEAiO1poh9jJbW9vH/CGpVNoiFBOuEWlv00E7iMTtpS1ywtPWU1UQvuk9uXVJSYmrKwatQDpGpFxcXNasWUPPLKIoKjk5ubi4ePHixZ3iNcCf165da2pqCgsLQ4GlT7i5uXHFlwi/m6gkDB8L1pNdYt1zSutaCVf72CeUQq5xc5sQura6LLDo/VigeRAIBEFBQWZmZljw+gjQVfZK6D9BXSkUCvBKTk5Onc60sbEpLCzMzs4OCQnBSA2Pg4O9/Yox7of2F4pNnYhM0uWRsANN21+cPurxfwiqzxA3B1JYCrW+o3OlqcliE7mf88AENmtpbSsF4cdV6PXThH5IampqW1sbeFSoRzobUnhwAEVatZC5rq4uKSlp2rRpGoNdgcbasWMHuCxtkRpQYOkifD4/1IZxv1kqZ3E1j2yz2DNd+eYDpAmGulonV2l0pbQ/ZZLWWhd7Wz6fr5vmzcovevOnuDNVRgpj246uvLyFs/3QB1Fmrz4zw9jYGItfn1JZWVlTUwNNBXiurgILkqBHWF1dXVJSggLrMZk+IfLr8sNrE5qIwFRtcV/HqmT79vI/R1o+qQhVPu4u9iS7immmRWAxnQWKCcGeA2IEUxNjF2NSytDeIVTI2Ip2ne1fCYXC7TFX/+9McbOJW8ekEYWEKUofZXzxq+fHjR4eiIW8T6GjicKHioqKrlHdIRWkFXxITk5GgaVn/HlxZMLOuxWUpkEs0AQNpcuf9hmosF6BLtbG9aRJ25ZETDajvtDXM0w3DXv5RtKq33LziSfpWB5AdbwjYLKllu7v3CV5O+M+ejbC1sYai1/fweFwQHmDivr11181niCVSqGPjjsuPBHWPLdwiMett49kJDUwFbY+RNzCbCp/yov1yfMTfT3dn9SvDA/0WxOU/0E+RRiMzh1CUDZS0UjTyrmTByY8h5mpSYA1q7SNqbU3KGkLsJCam5vr4ONrbW375FD8h6lMYunbYViqw8IKI8sblOW8Xdl7nmmfMgYD4vT5YAf8n6FEcwliMLrpCuIkdx1lZHDgz8/42FFNGjyCqOnQM26hw4cN1LW9/tzsYayKDmmiMf4Fh/f6CL6nmy5OaKisqn7rWFY+w1EZWYJS74yAYXcUmRw8fRHLXp9ibW09adIkV1dXEFJdU+VyuZmZGZzg6+uLtnoiTIgYdeuzl8o/nnlqYsuNZVa1Xy08/N4LT1BdEeUrldcWTlzp1kg3OOqND1HIZlo37nxnwGJNubk4rw4xJxJhR79Uk8By4ctfnKSL680lEsneM1c/TONqnKFfzbB4YV9ObkEhlvC+A8RTeHh4REQEpW21GSFeXl5z5szRloojWLoL9E6O8jj/OHjrYiVbaupA2DxSf3+qK+Ofzw0NCxnew0WkfQGbzf74mdHP7c2+L++i3Dn8sczC1+ZFWFjoYo9wz9mEXImFcmlVlwqjkMPFb8tSRGflBAXgFIc+BFzSG2+8UV9fX1dXpx7SHdSVhYUFKLABLNuDFXt7+5kzZ/bd99vaWH/1wsShR2I/uFLbwLUhRhZE3GIpLNs4xvLt5+fzeLyBdKTRYzZUJGzOZnQeYGOyLKjWN4LJjAkROvjIamrrfkisJyxXDVPoOhp/Us+0+P7kzS83eGHx7lONNW/evLlz52oM6e7k5NT9TBgUWDrN2JCgsyFBlZWV+fn5IpEoKGgKOEpdaH4iQ4MuWpmt/TYmTuyu4BjRL9oYjaXP+pAvXpiisxGwLqYVNUn9CEdLd0ShSGnsCOqDAqsfsFKCdhg0mJiYbFzx1CtPi/Py8ioqKmxsnIKCpnWatjIgWFpYfLxiou+R829dqBGbOhO28pKkYj+qbNMs32dmTtBNezY1tyRVy4m11un5Ijnj5J2SL7Hk9YvM6t3+XSiw9AAHJTo3DuHhdv7Tdenp6dczi++1KEJsmBGjJsJ16vPwQ8eLQolUhkWur7l//z70CCUSSafSAo5MLBZDqxwcHKxadYjoEdChH6ZEp65KIBC8+ty8lQtE127culHcxCLyaH+n0eFTORwOPjKke0Qi0d27dxsbGzWmgr9ydHTUFqkBBRbyWOigM0V0nJs3bx4/flwmk2nU4nQk98BAXCGFPHmZNWXi+CloCKTHKBSKH374oaqqStsJdCR3bakosBADwsnalJQr5+ZrfEnIYNpzZfY2+N6qD6mrq0tPT29tbbW3t7e0tKytrZVKpXZ2dtD4gasCR9bW1ubm5mZqaoq2QgxbDvJt+Yoa7cH4WQxqmDOGMulDKIpKSkqqrKwE1+To6EiU8RosldAnFBYWwvGu4WZQYCGGyNxR/ufO192TMwnRFASfzZvjRnm7u6Ch+g6hUNjU1OTi4rJkyRJ3d/erV68eO3YsLCxs7NixkHrv3r2TJ0+aKUFbIYaMrbXV2uFGHxbziFzjHkQMa4705alBaKg+paGhAdRVdHT0rFmzFArFZ599Bn+uXr2all8XLlzIzs728tK6zgBX6yCGJLAmRy2yb2a3N2tYs83m2bcWrJoYYGtjg4bqOzgcDo/Ha21tFYlE8OeQIUNAZsXGxubn5xPlYjdjY+Nr164VFxejrRBDxsTE5KUZo22bsgmry0QxBoMlb48WVE6JHouG6lMEAgEIKZBZSqszIiIi6uvrDx8+TP/p6elZXl4OMgsFFoJ08MXGFW8NaTYSVSsjNTBob0UoxRBFyf5nPceEjUAT9SkODg7Ozs7gpH766afz58+Doho+fHhjY+OBAwdiYmKOHDkCPcL29vbm5ma0FWLgeLq7xa4f6Sst7hjE+j1GAMUV1y+3qzz4/mo0UZ8CEiowMBAEVkZGxueff15dXR0eHm5hYXH79u3t27eDrjp06BBRvjfU9g34ihAxOP716nOriu/tOp90436LsF1uacJdMMx20aTZAxUZ39AYN25cXV1dYmIi6CqpVAp/Qgfx6tWr8fHx4NFAXUG/UAeXzSJI/zNsaGDax14xl27sTSqrbhbz2MxhjiYvTQ4ehqFk+gUrK6vFixeDkAIfJRKJoEO4fPnybdu2FShRiTAUWAjyO14e7u+vdkc7DAjW1tbPP/98VFSUahXh3LlznZ2dU1NTFQoFfBg1apStrS0aCkGIMvLF4hkTFs9ASwwAoJ9Gjhzp7e1dVFRkYWEBR8BBbdiwITY2FvqHAoEA1JW2jQhRYCEIMgBwuVx/f3/Vn6C0wpWgZRAE0TU6RUWGz08//XRPMqLAQhCkb5HJZJmZmeXl5Wz2wx2OXC63tLQE+YULCREE6X/q6uqSk5MZDEYPz/dSggIL0T+amppiLt3MrxUKZdQ4D9NJ4yIFAgGaRe8EVnp6+u3bt3vy7OhAo87OziiwEL0r52kZd0+nFotlCjM2NT3UJzg4GM2iX1AUVV9ff+HChR5uScJQ8mQEVltb25dffllSUvLdd9+p79KKIH3BW5v3/CddJjJyIOyOtvbTLCl77+7vF/o8PzMK97jQI8BV2dvb+/j48Hg8cEZyubyyspLP59va2sJn9dMalVhbW3e/hWoPiYuL+/nnnydPnrxixQp8CkifkpaR+YefklJbTTo2uqYUhMH8c3LJJKMbv7652A5jF+sVRkZGIJhUAksoFIK/8vb2pqjO8anLy8vhZFXc0ccSWFVVVWvXri0tLQ0JCcFngPQ1az/f82OZjcyM2+Gt6JLNZMtsfFddEEoV8avmRPfkfROiC3C53ClK6D/j4+OhqzZ37lxfX99OZ9bV1e3fvx/UFWisx/zRnTv/n73zAKviWN/4oagIKE3FiogFBbuxYe8FWzSWa0k0lpioSW5MTG8melOMMZpmiSVGjS3RINEYu1ixYkdRkSIq2BVFyv/nmZu9+z/ncEQEBPzeh4dnz+7s7MzsfO+83+yUOd99912RIkWky1OQ3di1d3+XBZHxdl6Gwsn3+ep+T0hqmn3h9Xd9Gn+8Yt3rbSuU95JSyhPAAyxTpgxSR/1MTU2dNm1a/fr1e/bsaRISvbVnz54///zTykKjD9FE8aTAwMCgoKC8UlLLVm9Yui/20q17SSlpnaq69wqoVqVy5by8FfEThGmLVi2Lc0m2K2RI/f9LrvPTociLQZE1y4QF1K+bD3K6ZtP2pXsiT1++Y2tjU93TcXBLvzo18/PqzDdu3Dh27Bjc5OTkZH6Vk87OzmFhYf7+/ubyK+NISkqqWrVqw4YNT58+re8kEwiyHFHRMa+vOBFfoJzh3h2TJthga3varuygqcEhX70oBZXnAE0dPXo0Li7O4n67SDE3N7fExMT169f36tXrUQVWqVKlhg8fvm/fvtxPWBHnYnpN+iPMzifNppQ6s+2wzXu7Dk1qHT26e9NChQpJ1cnlWLA76rKtL3rKwrXkJIOn74KQE74VvT3c83Df++nIqBdnbVh71cNQqJTSkRui7Kd+f2KM//EPB7TxcM+fu4xdvXoVSoqJicHzq1ChgmIxdalAgQJRUVHIr4IFC6p13jMNYmjcuHFsbCzkKAJLkK04eSYy5HLh+31Xlppog33BCJuyQetDurZpKmWV5wCHQFAhISEwkoly4LwaC6/WeX9UgZVn2q1zMa2/3nrOrrJBPwuAiu7o/vq2uwZDiGisXI5dew8kFPQ0pNqnswmXwZCSFBpvm3D5at4VWPEJCcNmbd54x9tQIOV/vXQpyQYnt2mRdnd/2fSfQS3d3fKhxipXrpyPj09kZOSpU6fUSn0mgMj8/f2t9LoLBLkHd+/ePRIeYXCvYbiVkF43yPVUux3hsV3bSGnlMSCe6tWrt23bNkgJjZVemCZNmmReYIWHh9+4ccP6ltG5Cq/PXhtjU8ZgYRNynAmHcZuvt6x8rG7tWhmfhCnIYcQkXEtMszeYjSjUc1bMzdTbiXfybh7/My9o4xV3g4OxWpq4vHa2M47c67R7f48OrfPl++3YsSP66cCBA9evX9fPlUlNTXVycqpcubKfn5+zs3NmZGt8fFRUlIODAzIuczEIBA+Fa9evb48vZLhnrcM1Jc3m2q27UlZ5ER4eHq+88srevXvPnDljrhkQRZCV6onPpMD6+uuvQ0NDhw0bNmLEiNw/gOny5csbYg0pzumkMw0K91gRetq/WtUsmaYkyA6U8XApbJNgsKKAbWzKONs6Fs6rb/DM2bPb4wsYnIsbkm5buJycZPCosHT/yYa14krlxx1j7O3t/YzI8pi3b9/++eefe3t7v/HGG7Vry7aSgmyHk6Ojv2uK4bq1Sc12NmkuTvLNJK/C3d29Xbt2meS6B4b44Ycf8lBZbA4NSy5SypBma9ox8D83OSUo/Mbrd5NEYOVaNKxX2+OXHadsXY3bMFt6j3YF6xdL9XB3zaMZPBV1IT7V0ZCanG6I1OS4u/bXb94qlS9eaGpq6qVLl65cuVKqVCkXF5eLFy9ev349PW+NwIULFy5WrFgmvuN3M0IsSJBzAsvJqXo5D8PxKwZb+//OHzTzBovapjSuUlrKKq8gMTExNjYWgqpQoQLHVvZyVnAzIpMCK28hMuFmikFWSHpsuHv37vHjx9fsPUnr2KK6V3U/v8wtWNWyosvBU7fv2Dsb0sxGKNvZG66d79jSM0+PcH+ikJSUtG7dug0bNgwePLhZs2Yc7969O73VE9RCoz169ChTpowUnSBbdX9cXNy23XsOJ6TVLOVUz6+St7d3JuKpV9O/6Y6tIUnmswjvqytDclJFu+iubbpKgecJpKWlRUdHz5o1i5br008/jYmJmTlzppVvdzY2Nm2MeCIEVotqZQrsibljUyC9DizKo7xLAVtbGYCV9Zj129q3g0/HO5U3FHC/PwZu22kf29DPe/h3a16vYMGCDxXVxJf67X9/ztrEwqadWPd/pr5Z26ZFo/pS4AJBvsTNmzfDwsKQ2uXLl7cywOVREHs+buzc9YtP26S5lLnfl3wkrfCqXQMr7vjk2faexR9uDbZyZctM6FShxfxog1Mx027ptLQy9jcm9pP5g08oHlpgBQYGIvxz7QjxWrVq2X+z3eBWxWCTjuS0tWvu5fiw7b3ggRg6/vufL5VNdqt6f07cfUmUZnAoetrWrffKy7Pv7BzUMeCh1gXFY1j0xjOv/PDHkjjXpALOOJv3z97vu4p7r4HDG31bFy1SJO+WVbP6tXyCD5wyFDdOxUiz4PXa2DZxu1XRu3z+qBsODg4DjFA/+xuRA8/18/Pr06dPtWrVxDzzCs5Fx7w2Z/3y8DsGj/L3P7rd2OlXIPiDLv59O7fKwqeEn4roOW3DEQd/Q5HEfySRTWLh4jOjU45M/TtobCd3V5eHirBpo/obU1OGL484lVrcYF/wPgEa+65q2EbPG9Ksjr+vvNm8ArRN5cqVP//8c/WzUqVK2nFOCKwuXbrk5tKhYX6lWen/HE27m2ap6bK1c004OqTLM7JMQ9Zi8Z8bg296JRdytrQuaNGhv5+pWc6tXq0aDxUnHDf/7UFj9u7feOjsrWRDalqaR2H7wIb1KleqmNdngCI42voWCzlw+XZBl/tLM5jArqDHrciWdf1kqfpHRDUjpBzyCtZt3tZrceR15wqG4kn/PVWkxFGbkgP/Ttp0bMEPYwdkyVPOx114d9meI4Wrm04xQRXZ2m2/4d57wsL1Xz7cuqC0Oy2bBhyoU2tNyJ69kQkFbG34g/Q6tXxONvV6kpEPGfydZ7tsGr9k623PlLT/3wzb2NrdTlg2vIGLi2wim8WYsfH4hXsVDXaWxnimJKV5Vp2/+YiPVzk3t4celt6gXh3+8l+JvTGk15Xvf510suA9O4f/p0rtChROuvZDB/fWTRvm19py6NChdevWXbx4MS0tzVwryxisJxMRZ85O3BRzvai3Ien/L3mQlppsV2hhjIv3nN/eHNLz0R8UGR277FSywc3SGnv31wUtdMJQevWm7Z1aBjxszE5OTr06tOgl7zIfITExMSgo6OjRo3fvWl5ow/oYrHy4bwwew+p3e73vd8Mh4eR/p3VA4jcT6thE7h1ZpVX9GrJNddbi3LlzsalFDQULp7tyVXLSumjDpYTLUlZ6THyp349NDaXunLu/nqqNLd6z4V5iDcO5P/sU7x3YNr/m+v6w4m3boqKiFDdJNRAobNq5f+P14vfXKDFHaup1u6LLDyfcuHHjEZ9y586dkD0HDaWrp7uIcVpqQrL92gOn5Y0I1G6D+/btS09dPRD58xuEg4PDh0OfHtv3Jr7y30fP+xZ3rFutTsWKFWUjwuzAkdPRN2z/GSaVDq4npSanJEtZmeD5Xh2fbn0lMjJyU1gEjkHjql7VqrbJ95sTJycnOzs74/NhkklJSWaN6X+XaZDq8eTgfNyFDVFJhoKOhrs3LbZ0/J2391y/80CPds2kuAQ5jEqVKrVu3TotnR4Et/S33MjPgzwg8cb3IdUje1GuhGthm1hLS+cLHgy1hsqTsypmyZIly5Qpk5iY6O3tXbZsWakAAnAvOfnGPYPldaQEgscEGxsbPz+/9evXlypVKnOzWaVHR/Co8Kta1fluvLHLPR2NZWvXsKSdm4uLlJUANG/e3MnJac+ePbINsyCH4eDg4FfJ23D53P0piuk0qs72af7liktZCQzGZdwDAwMhqwsXLmTidpmmJHhU3J9BU8H5eOSdO7aOFoZh2doakm73qupcqqSnlJXgzp07f/31V3h4eFRUFLRlHkAGuT+BcC1axNc5KSixkOXNo4w84mhzr0yxLHDSqlaq0Nht544kdwtbKdjYGFJTyqZEP//0CHkpgrS0tIiIiGXLltHGTZkyJR1B/oQNchfkPCaN+VeDQhfu9/CbDFs2LhM6pNTFNvl3TpxAIHhEFC1atGPdSoYL4QY7SysU2tga7iX62l6qX6fmoz/Lx7v82Iau95WcrZ35gzztE9/q4CujdQVZAunBEmQB7Ozsfnuz58BJy/667plW0PmfyZu2hrs3X6lh82HfTm6urlJKAlCwYMG2bds2aNDggXsRSlk9Uahfu/q4Y/FfhCdb2IHU1q6C/bVXA+tm1bO6dWi90H7XyytOxRet+N95izw0Jbnk3egpXcr37dRSXofAWClsypQp88ILL1gP9oQOchfkJDzcXFdPGLZu646g/VHHLt6+fje1eYWifRtXqlndX5baE/yvrbS1LWGEFIVAj6JFiox7pumNX7f+cNTW4PDPksVG3VM2KXpyD5/WTRpk1bNgpH91bNqufrWfgrbsjrkdd+2Om6N99+rF+7Tr4SJDRQU64Oz5+Phk+nYRWIKsRNtmjfmTchDokZSUtGXLln379nXq1KlGjRrr168/duxYersp3Lt3r3Tp0k2bNpVOrCfOSXN3mzqic5+doTO2n9sXeSXi8p3G3q6dKhd5pV9vR0fHLH9cMQ+PNwc/LcUu0CMtLS02NnbVqlX29vZDhw6NiYkJDg62smIfl+oaIQJLIBA8BqSmpl64cOHEiRNq0RSOT506ld5yX6gxOC7TK/sJ8jRo1Vo2bcyfFIXgceH27dunT59WH14SExMjIiKsjMlDYFlZwUEElkAgyPZWs0aNGs7Ozl5eXvzk2M3NLb0PxykpKVwtkpc38xYIBHkUCCZ3d/e2bduqHV/UsfU9J0RgCQSCxymwahqhftYw4t69+3uVyPg8gUCQq+Dh4dGuXTt1jMBSx3fu3HFwcHho6pPSFAgEOYa4uLgVK1bs3bt3wIABLVu2lAIRCAS5E2lpaSEhIcHBwXZ2dhMmTMhEDLLah0AgyDmULFmyQoUKNjY25rsQCgQCQe4BNFWvXj01HSdzfCU9WAKBIEdRq1atmJiYPXv2ODk5eXl5qW+FGrR1sNKbZigQCAQ5prG6dOkSHBy8dOnSgIAAi/s9q/1kRWAJBILHjDt37mzYsCEsLAwVtWrVKvMAslWOQCDIDUBO4QqqrXIOG2FRgclWOQKBQCAQCAQ5B+nBEggE2QttodH27dvXrl27vxFSLAKBILfBZKHRSpUqff7555mOTXqwBAJB9kJbaPTq1atSGgKBIDdDLTR65syZR49KBJZAIBAIBAJBFkM+EQoEgpyAo6NjaGgormFKSoqVYLIXoUAgeOxITU2dNWuWxWmDeshehAKB4PHDzs7ushHWg8lehAKB4LEDFoqIiHhgMNmLUCAQPH6kpKS4u7t7eHhkpAdLFsESCASPESgnHx+fjPRgpbcIlggsgUCQQ7h9+3b9+vVlexyBQJD7YWtrO2zYsEeNRMpRIBAIBAKBIGshPVgCgSDbfUFPT09fX19XV1cpDYFAkJvh6Ojo4+Njb58F6kgElkAgyF4ULFiwrRFSFAKBIDfDxsamTJkyL7zwQtb4llKgAoFAIBAIBFkLEVgCgSBDCA8P37hxY3x8vBSFQCDIzUhJSdmwYcOhQ4dEYAkEgjyAS5cuDRs2rGnTpsgsKQ2BQJBrkZqaumbNmpo1a44aNerWrVsisAQCQW6Hk5PTiRMnWrdu3bVrVw6kQAQCQW7G999/7+3t/dlnn4nAEggEeQOrVq3y8/N74403rl27JqUhEAhyLeLj49955x1fX9/Vq1eLwBIIBHkAqampkyZNqlix4syZMx+43rFAIBA8LkBQ4eHhXbp06dSpU2xsrAgsgUCQB5CQkDBixIhmzZpt375dSkMgEORmn3DNmjXly5d/++23b968KQJLIBDkAWzbtq1JkyZ9+vQ5e/aslIZAIMi1SE5O/uyzzypUqPDDDz9k97NssqRvv0OHDn///TdRubi41K5d28bGRt6iQJCfYGdnd/ny5fDwcOtTcpydnV955ZWxY8da2QD18eLAgQMjR47ctWsXOapcuXK5cuXu3bsn71cgyE9AjZw+fToqKsqa+rGxgQHmzJkTEBCQjel4dLRv315ElUAgUEC1zJs3LyUlJS33Yf/+/Q0bNpR3JBAIDMaNvPr06RMdHZ0dbCOfCAUCQRYjISEhJiYmKSlJikIgEORmIIMOHDiQTbOhs+YT4fz580+fPi0ziQT529G5e/fukSNHLl++nJycXKdOnVKlSnHwhGS/YMGCERERwcHBFy5csB6yd+/eX3zxhbe3d+7MSFxc3KpVq+ArciS1WpCPdcPFixcPHz5sZ2dXqFCh2rVrOzo6PjltdEpKysaNG7dt22Y9WLFixcaPH//iiy9mUzKyZrPnQYMGSYUWCPI3YKvQ0FArAisgIODLL7/MxgENWYGSJUsOGzZM3qZAkI9x7949/GErAgvd+frrr7/33nvOzs7Zlwx7eRMCgeAR4eHhMXHixOHDh8tYTIFAkJtha2vbrl27r776yt/fP7ufJQJLIBA8Elu99tprOIIuLi5SGgKBINdCTRucMmVKp06dcuaJIrAEAkEm0aVLl0mTJvn6+kpRCASC3IxixYqNHTv2rbfeysmHisASCAQPDUTV5MmTO3fuLEUhEAhyM+zs7IYPH44r6OTklMOPlmUaBAJBRpGUlARJTZkyZf/+/aKuBAJBLkfHjh23bNnyww8/5Ly6MmTVMg0CgSDfY+fOnQcPHmzXrp2Pj4+UhkAgyLVITk6eO3eug4PDwIEDH2MyRGD9F61bt75+/brFS35+fnXq1OnWrVuFChVsbXNXn9+5c+dGjRp1/vx5jr29vSdPnuzl5ZVrC3nAgAEnT55MTU01v+Ti4kKz3aRJky5duhQrVkwqpEAgEAjyNGQM1oNx1Ihff/119OjRzzzzTOHChaVMshzXrl3bb8T8+fPHjRvXqlWrLFkHcuXKlTExMfb29nfu3AkMDKxYsaLFYLt27eIV3zWiWbNmNWrUKFCggLwUgUAgEIjAynakpKR88803aWlpffr0cXBwkALJPqX17rvvTps2rXHjxo8eW1BQUFhYWGpqKnLN19c3PYEVGhq6ZMmS27dvc+zo6Ojn5ycCSyAQCASPAhnk/nCYOnXqyZMn5btqdmP27NkRERFSDgKBQCDIo5AeLAto2bJlz549HRwcbGxsIiMjf/3119OnT2sjh+bOnfvee++5ublJQT0K6tat269fP3d3d9TqtWvXdu/evWbNGm0Y3P79+xGy6XU4CQQ5htjY2KioKKjA2dm5XLlyRYoU0S6lpKTExMScP3+eqyVKlMix7RevXr167ty5u3fvakNCMSJ7e3tPT89SpUo9roKCIePi4igrUlW0aNHHuzoahcOriY+P59U4OTlVqlRJG3KQlJQUHR2tLjk6OlauXPmBoxGuXLkSHBwcFhaWkJBAbHXq1GnWrBlx6sMkJibiE96+fbtQoUJly5b18PDIQ5WcMjl16tStW7eoRSS+ePHi5mHu3bsHJ5NBk90auKVKlSoyckYEVkYBT9WqVUvN6sSWevTo0bt37zNnzqir27Ztw5ZEYD0iIKBq1app7QGitnbt2t9884221V1oaCgijHZLykrwGPHHH3/MmzeP1gVpNXz48P79+2uX7ty5s2jRoqVLl9LGdOjQ4eOPP86ZJB08ePCzzz67dOmS+SVsasSIETT/j6WRRoVMnz7dzs4OW+bgMb61y5cvz5w58++//+YYCfX111+XLFlSu/TTTz/99ddfHPv4+MA5VlQp733Tpk0ffvghudNObt++nci7d+/+5ptvaifR2R988AHCF6fx5Zdf7tKlSx6q5Li448ePR2PR6o0ePZr2zjwM3u+ECRNOnDhhfglJjdwcO3ZsvXr1hDH+X8lIEWQEnTp10hR6cnIyAivPZQE6Pn78eG5Oefv27UuXLq1PMA1Y7kwqdeDIkSMXL14U03hycOPGjaNHj9Li5uZEHjt27I033vj+++/lfWUJduzY8fbbb+vVlaYmf/vtNxSVFJHB2HkZHh7+yiuvoDszFwNUP3ny5KeeeqpBgwavvfaaeYCbN28+++yzBAgICJg/f35eKRnpwcoQmjdvvnDhQk2doPS9vLxMxkFDbZs3b4aCObh7927FihWLFy8+dOhQ/CeTxR3we65cuWJjY0OEeKKoCpyDn3/+GVeJNpvw+KB169Y1iT8uLm7OnDm7du3CXfb29u7cuXOLFi0euGwEBEHK9+zZozUMRYsWbdWq1ZAhQ8qWLWsSEsq4evUq3EHMPXv2dHV13blzZ1BQ0MaNG3lou3btSJinp6fB+HGE1OIgkmU3N7cmTZqQU81HzDR8fX0pPaWrIiMj8atMApw9e3bLli148ATjavny5UuUKNG/f388J/xmLdiXX35JALwx7dsumaL0Vq5cyashC8899xzPIr+kn5KJjo7WxNwff/wRGhpKwdKg4szpx9rHxMQQgyoldYZHVKlSZdSoUbjsJt7erFmzwsLCSBXVYNCgQf7+/hTmmjVr1q5dCxP17duX+AlDXghTrFixgQMH1qhRg7fMIyhzCAX3+qWXXoJTxABzCQ4dOoQt4Ank5kSi/hcvXlywYMFhw4bJK3sUQEG//PKL9tPR0REzh7rhFsWB27dvX7JkSZ8+faSsDP906NJ2QIlSGiKwsgxpaWm4MqgNqE3PxfzfsGEDrS+tKcapXaLdjY+PV8MmaP5379793nvvXb58WV2lxeWWBQsW6AcxJCQkoOvxEjSdgb5B8fzrX/8y+SKux4QJE4KDg03cL9p+mnBa+k8++QThSBq0R/BolYxy5crR6n/00UerV6+GR5RA4S7+jx07FkNCIx45ckTdiCj8/fffEYtjxoxR8iubMG3atF9//RWFpJ0JNyIkJKRfv37PP/+8u7u7On/ixInDhw+bLLiFLFYHpUqVQr4YjMNr9u/fryYPajhvBAc0UZSJdh7VhW5DsekD37p1ixhoyXg7vXv31jQxNYGEkQaOSRV6bvbs2TNmzOA80SotyPHJkydVGPUldN26dV9//bX2kZR68v7777/11ltwllhZbgAKm9edqwRWo0aNqHsYNf7G8uXLafJVtYR/sJRChQrJW8s0sERF46BmzZrYpouLC6W6YsUKqMBgHAy3fv36J1Bg4Xt/++23VDM4FkqElqOiogzGgWgcS8eeBvlEmBk4Ozvru44QFmvXrtWrKz2+++472nuLEw+5ZefOnVRHTV1pQNnoFz6dM2fOuXPnTMIg6V5++eW4uDiLz124cCHyzrxzWwGa4LnpzdRDKNCukymlrvSp+uuvv1566SVNXWmAaGh+sq/Mx48fT4706koPrHrHjh3Z93QKH0IxUVd6TJ48mdJOr7ZQbija9GoIcHBwgLW///57TV0pXLp0icpj5UZBDgPVu2fPntziH9vbI6F8fHxq166NCocNtA5XjDH3pDOP9secOXNGdfy7ubl16tQJdcUxBd6qVSttnyictH379j1RJWNjRNWqVevVq1e/fv2+fftOnToVljP8M2RNKo/0YD0ctmzZojXt6gud9kGKthO1oQmRatWqNWnSJDw8HOWkiZuQkJDKlSurKmiCzz77jP9UU25EMKGWlBSjLdeLCRxT7RsWCQgMDMTOMWwowOLC6IAGW/vE5unp2a9fv0qVKm3evPnPP/9UfTZEuGvXrnLlyul71xSCgoIMxo+JXbp0wUsjL1o3j3LduNSmTRskILJGXcK0tA9nmQaCTyu04sWLawnjKXv37tW+clL+LVu2RIts3bpV9UUBmpOnnnpKdaH5+vpSLE5OTrwaTaeSfXd3d/WJUL2L0qVL16lTR30ipORVSZYyQn0i1KYCLV68+OTJk1o6u3XrBsNevHgRzXf8+HGtJlSpUqVChQrm+QoODjb/3Gki4AC01aBBA9JJfSNJWkuZkJCQrV2DgoeqophDRr7bnj17Fos+evQorx6Pv1GjRk2bNtWPMqTKRUZG8tKpllRp7JoXTVXHqGm6AgICHjZt1JyGDRsqTwNjJHK4SB8AY0EgkiRsn5Q0b95cv2uCNg2QJCEpoCzOICDI75UrV9Bw0JQ+Ngw/NDSU2Egt9dZ62sjUypUrIUYMEKUCeyBT9MzDI7iK3WGbZAQfD8uFoHAw4MbWrVurrnqsVXVaY5uInpzZYA621z+oRIkSMABEir3DkOl9ESOn8M/+/fvJJowNZ5oEgOrxoChD3hR8XrFiRd6XfmQIJXzo0CGezlVeB27Y+fPnIZOCBQtSICZjPAzGr5aq1u3evZswUGjbtm3R3CbTJHlufHz8xo0biZ8XQRPw6B1a6HsSpn6SSP28AfxDSJLWiseplOvn2/JCDxw4QMo13xLiJdecp8SoCdRkuJefiupVneQWDqjD2rgUflIVSQMWSi2icGgjsDh9romZ6sRV6lLdunU5Q8JoRLp37w7BxhrBJZ5LaXOVn7Q7GAX2TngRWNkF2k5tABbWpbcB3qgmPmit//Of/yjOmjhxIpeUSDp48CC3WxRYqvMDMoVe4a8PP/xQ9WZR2zQ9gc3oO6LmzJkD46jjBQsWzJo1i3pjEicsqR8h/vnnn1evXp0DjI1o16xZoxKGjCPx5gILUKXee+89ZcNjxoyB6TQl98wzz4wYMUJ9jxs2bJhaydPwz7D0TK/CSikhWbSnlC9fXpsSD2VoI8oxOUpJlcDMmTOROCr7x44dgzWUEHnjjTdUYC15GPaQIUM6dOigf2JPIzj49ttvtYVGoc5BgwaZ5ILmQdPQL7/8cv/+/dWnVeTUhAkTlMaC93lr5gJLdT3SCPXu3RveIbB6F+adWOPHj4d9OIZqZ8yYoRiHRpcMisDKJVDzGzAc6xsywhiffPKJ3mwRzfPnz3/ppZeQBerMX3/99eOPP2KPzZo1e+edd3D9p02bpirhvHnzqC36SWoZBNREVee5RKv/9k1rsX79erwj/Vfvr7/+evDgwUOHDtUEARrop59+okVHDn7zzTffffcdKVFXURh9+/Yl/VrfKtb322+/ccwtNNKjR4+2aPuU2O+//w4FmbisxPzBBx9otkBLxk9S7ufnR2CaWJxPzTtCC8KTp06d4j/qQZ0kWn5mk2mQF00HIJG3bdum392cROJ0pbeODG8Bv2jcuHHanDsCQzJ6SYRugMmhL/3HDdjj9ddfRyWrnwivV199lVcJb1Aa+MxkWWP+jz76SD9C9NatW4sWLaJG6VNCHaOEuVc/HZtoeY+KUX/44QceN3LkyEcpKyWLtZ/wlRJYEC+v7OOPP9bPPZw+fTpvk4ZSUShlS83R2JVbkKRwNXEiN6miELh+2DvVaakR1PMXX3wRrladBTxFTRrV/O0//viD8vniiy/Uh3LK+fDhw7C3wTj8Y/v27VwiHl4WtR0xStnyRpSXS83//vvv+alio5GlycvEoEb5RGgBNGw09ihu3jSMg4+irdGg5IV+LRyoVqsczz33nLZ8Ay6L5vRQ4dJbm3TSpElUI1XVqJTaiCg90O9abxY1Rr/CCtRsUbfpb/H398fD0C4h6rX0K4Flfjvy5a233tLoAC9B84H06kpJgUff0wbXBHcQpYLl6ylMe0p0dLQmN3v16oV7oY7xzzRXCX7Jpk9piGNen3rLZJZi0V6TfqUJGNPkA5+G9u3bv//++6SWd0H6LS4RROui1BVAo1tUvYLcACTyzp07rQSA6GkYzL/O49n//PPP+CrmXR1z585FVeiNkcYAFspCFxGL1qsrVbGXLVumtdn6jhAu0cBo6krZF0nS/Ez8fqWuNI8O+zWPSoU0UVca+dDCmS82QbmhJFCc+jESOJmkB09PU1eqc5eQ2fei4UnF56qXBVGoXcI801NXtNBIcNp+vaqg5Clq/U/0KyLJpF2goaGszGeqEh69ri9eziCbNJKn0DZu3GiirpReQariKutvnDJliuav8q6pzMgOcy/90cELwhc1WdmBJ4aEhJD9rHoKeUe06dWVlvcdO3bgtZrfQrEjv1BXFiPkRnx4TV2pM7/++qv0YGUNNhlh8VLp0qX1SzbExsaiA2hx1ZTAKlWqaJ8O0T1Whp//t/Tt7dVw8gfqD61fB3ctI4IGa9FkH662fhU41dWskabJKCvNkUqv793KpYfC30akd7VMmTIUptIxV65c8fLyQjzhalAUpF/TNxSyRUmataDZ0ygPwjXJPs4Tb9BiMSrwvlq2bGnen68H/qUoqlyOqlWr8ur37t2r1mtQ9muxwwYFpvqhEcr9+vXDKaLxg6CpvbSg69at07ooFHYbUb169VatWnGvsgvEOse1atXKeAqxFK23G49c6+dGyqhlnwCm1L17dzyZtWvXUnXRN7SvTz/9tElUuJdhYWG48iR+z54927ZtU20zGqt+/fr6gUd4QTgG/CeY+WikuLg48q4ZNb4ZhrBhwwa0hZJltHNaF5rCKSOQLx06dFDzdlU38OzZsyl/6BcPk8QjETBMEpl9b7x8+fK8vh9++EG9DiUTmzdvbv0uSmnhwoVFixZV/dy8TYQ1Ra0vHM6oYRiQQ+3atevVq4cmUwIOP23JkiUDBgww0RDcQmIoAdx+FRXszS3t2rVT/UCUifaKX331VTifN4tERkxERERwVU3OoNA09wDnsHfv3lSbVatWpeccZgRqDVKtN0t9Byd5migpVKgQpaFkDaZB+ODg4Ndee40mElZXW5PhRfNOOePi4qJcaPWfnzVr1oRjEWokXsWPz88Z1XlJbPjn6tF4sMOGDSM2lDdZpt2kKccoTBYBxkhnzZplMS8kMjQ0VPVj8WqwQfVesHqK8WHXvhaB9RCg0PGrtG4VpbcmTZqUniqSHXUyDThXax7QNHoPzKSQc/8AcFdX1/S+DgvyEOBoxAECy2CcI7x+/fo2bdqYB6ORQH+oYxrjwYMHK7nDeVoXqqv5RA2a4WFGqI4rmjp0g8k3voyAppdHaJKddksd0/jRZijF8O9//7tp06Ykg2b422+/VW0zbZ6e1lSChw8frj6gk3HSQwOjJYm2U3WGoQ8oBPUpk+Yfp99kjSK16LwK2ahRo8DAQNUzhITatWsX8ZhPHKHh5LkqTppGyk2NKiMZH374YY0aNbB6XETVQGpDMLMDqBkkLwJRjQHgvUBEZFP7TpoeaOanTJkCcVFcmP/UqVP1SaUkt27dqql2tWgZUpK3wNuneuiHe2pv88svvyRapTVHjhxJsfAStRlOCDg1YwlhN3DgQKUCcYYpZ7UyNipBCSxCKs7kjU+YMAHtot4dlJvefCnrwLdUQ6y0QlN0x0PXrFljMH5spcQQWIREtajS4zg8PNzX1xf9RLUhVZQDwpRGliRNnjxZix8fA21N6XEjjg3G0qtXL/VlUGsFVG1EV73++uuqlHBXMFXOqxWFlBnqVRTJ++abb5o0aYJypULqG2tq4Mcff9yxY0fltCgJq4ZwSQ9WdqFSpUpfffUVTtgDQ1Lbli1bhqZObwafwDqeffbZZs2aWe+agmVWGKH/jpADwGKhS0hB+2LI67bSfSXIT8CjhbhpBWkOaVHQFuZTTKiQkLKSEYgYrZtHrZynxuoiO/Rf7VEezzzzjNbfmfFRjLSUJGbMmDHUQFpc5IgWCU2XNlxBaxhop1Xzg3HREqvRWubR0sBAd0pdqdgcHR31rYsmmzw9PbXeOBXMJCpNiqHYtJD4pXXr1lWfSs07Tkj5888/r44pMRVn4cKFAwICUFcq8Tkztt1g7P5/9913UXtKNCOYUAOY/EcffWQiSTVwvnfv3qrwTUbHa91R6gtdoUKFtJ4VMsiz1KIt5tAPcuLFURRQH/FoC/cgUFSnKZVHG46tdk8yebRarQYdQ5xKXRnMBlFZB1IDFThv3jz+qyGJ2ldv1VuvCS+lKUmGmhRCaaD5rPf3Z0LeaXqUTKnqrXWkmXwT10C94g2qKSBqjIfmqBMJqVXqyvDPl6hM95WIwMooqNYP/IiDlzB9+nTed3oz+wRWgEnQgOGc4bJY+Wx64MABChnv5LEUMnZocbMIQb4HzQkNEm2bagUPHjy4ffv2x/5hV008NDnZvHnzESNGaD+fMULeYOZQrVq177777tNPP1Wdl7S1vPdRo0aNHTs2c4sAe3h4fGhEjmVBTb3MwggRmtOmTTM/j4LXRoKj7cyHG+Y81Crz5udNJthmE0RgWYCaLIPnMWXKlCVLlignD4cVvy29LQj3798/efJkml6t1Uf5UgtFaaUHbbNnXBBUC54cPq71helRrlOnTtXPZ6R54+3IMlGCnEHhwoUrVqwICVy5cgVjp8XNhSt59urV6+2337YS4Pjx43PmzNm2bZt0sWcQ5cqV+/LLL3/++ee5c+dqXPSxEZmbva/HnTt3QkJCFixYoC1q+iigZiLd1KBbiFFb7SU7xrCboEyZMp9//rl+BpgGVCmeAAW4Zs2a7Ovvpz7TcKv4eaL29TkH8i4CKzNo0aKFWr5c/dy6dWupUqXMO/Bnz56N4WkDJuzt7fEXEcjamgsCi26cfgreA7FixYrp06fr5xx17tw5MDAQR0pbiSonDMbeniZW+0Sox82bN/UTPAX5D7SFDRo0CAgICA4OhsF37txpsTnJKuDjhYWFvfnmm1q1b9y4MY6cfpkYqlzVqlUJQHNCg2p9xsyBAwdoAs2H+DzJgM9xnkeNGqUmsuDj+fj4mE8ZK1q06MiRI7H9999/X505f/78hAkTcPkyMm7EIm7duhUUFPT9998/7GA7KyAX5qtAZyuojfXr1/f39+/Tp4/FDoiLFy9S6zZv3pzdKVHbouSq2iUCyxrq1KlDU6oNVz948GC3bt1MBNaSJUvmzZunWYinp+cXX3xBbYPvHjiLUJBB/P333zNnztSaGVo1fMfmzZtz5oG7MWa5Lnz55ZdNZoEJnhCoxQ/9/PzWrl3L8ZkzZx44BTi75X716tW/+uorlNOXX3554sQJdH9cXJz5JjkXLlzAD1y+fLn6Wb58+bJly6q5gYKMl3anTp3KlSsHA6ihn1FRUZ999pnFj2UPBDJ33LhxaocZYvby8kJPZ0knVnaDds3V1dXKHHC9Q0KV+/bbb5V4pU62bdtWW4/0iagzYjbW0bJly6VLl6qJP2o6hn50qhrziCOiCTJtoVGZQpiFWLRokTYYVr/QqECQ88Bfb9CgQa76xIZgqlmzphodqDbJ0Q8xuXjx4o8//qitCxAYGPjaa6+tX78+NDRUvhI+LFC0U6dOfeWVV65du5aamopCotgtrmxnBcePHx8zZoyaDIEPz+to3Lgx0T66wCK2sWPHli5dWt/FTmP06KsVPixoNJctWzZlyhTDP+NrSViJEiWy7yshAo56blKlkYPZ2s0sAuuR0KJFC4hJCazk5OQdO3aobWrU1VWrVul7d9966y391hOCLAGukn6q0ejRo3OVuvrzzz/PnDlToEABxHdAQAA8ov+CI8h/8PHxadSoUQ50/+C5IZtWr15tct58IUo3N7cqVaqoWYGxsbEmAoufSl3Z29sPGDBg1KhRBuOAFXmVqpelbt26Fncy5dLhw4cRPZ6envpl3CtXrjxy5Ei1LNbNmzcPHjz4UAIrISFh8eLFSl0hOD7++GMk++XLl7OkM562yc/Pz2TZp8cCZL2mrp566qlvv/2WA/N1ZbMQaCk1zzT3QATWA1CnTh299odVW7durQmskydPaiOs1Qp4UmJZjtOnT2t9hPh5j75zVtaC9m/37t3KJ8NxNNmvTZAvQQNWsWLF9PZKfyyoYMSJEydQTurDk8LVq1fVsqgG48wppa4ED0R4ePi4ceOio6Pxl+B8vcBS+waqRTcQYQ87po03ovSck5PT008/nX2MQdpCQ0PVboY8a+DAgTlWelRCNenSYJzvhRjN4bEctMtq9VRUV9myZfWvLychW+U8GLCSpqj279+vXyfwxo0b2ow2anAO1KH01l63AiqZ3luNi4vLW86rfjVRR0fHHFi63QQ8VOuUumKExWAFjRB7eRKA0G/VqlWuSpL6SqiOY2NjYSqtv0TpLQjqYb9k5V24ublpuxzC2PoucGSHWoYKukZ5pDfPRlttSw22M5kPzk/zfsQMIjExUW397urqqm1MmU0Ca+vWrbNnz541a5ZaOj/HoK3tTgnXq1cv5z/S0WSsXLly5syZ5N28D1gEVi5CixYtNIF1/fp1/eaDehw4cECvvaZNm5ZeS/ywqFOnjrbXzbZt2/RLa54/f96indetW1dboQcPRj9PFebVPmvWqFHjMX6fzgSOHTumn5gJd2RwVSq1KF9GViXdt2+fNrdZgcLHDVLDmdUigZrgo/XipctCo08gKlSoYHGpSbhCzYOhHdV6kqgw+AnKVC0uyJklkkLbo/Ps2bP6jfO0Nk8zfNKDLWTa0UJ5qLEQEIt+n1aLXofKrNomSOvCUeuUqu6N7Hg7+sVIMVhtGxn1U1OfVp7u4eGhzWWJiIjQb2mnFuXXiqJ27dqZSyS8oTEztcV8Ufv09JkKSR41dag2+VaiSltUHRWo+v6RklWqVFHBSpYsaTCOyoLTsvWDnQIP0liX/FIHrLMl4bWNECyCTOkDkDWtELhXm0GpLbxOgMfoV8gnwgejWbNm+ik5a9as8fPzc3FxUTpmx44dijdPnTr17rvvDh48mEZ30aJF/MyqRbD0m0BDkZ9++mmvXr0wFSrT77//rn0+S+8WDHLKlCmjRo3CxkJCQpYtW6Zt2uDp6ZkLF/IxAX75hg0bIA7lmk+cOHHo0KGYza+//nrw4EHr5qpfyHjevHmYert27eLj41GW+k+NxYsXpxlQzU9oaOjXX3/9zDPPUICcpx2liPiPgFbPQtXx9tWGbshozmsta3rLpAnyH5566qmAgIBVq1aZnC9RooTaiw0Rg2+za9cu2umdO3eqbUPsjcimns4yZcp4eXmhXVBOWp8NQkFVdU6iM0he1apV0QfmKc84MBY1HAKptHr1aqyjaNGicIv56gZYCk9HoFy7do0AWA3KLCwsTG0epywrmwQWz9W+4gUFBeGYVatWDY9UPdpgnIxsZbVJUt68efNffvkFGsfwySayhjdOMeLlal+HCUYD8VBpw2HjLlgoLi4O3fbGG2+QquXLl6e3jLuSdB988MHzzz9PyW/fvl3twKgXWOi8WrVqcQmKg+EDAwO5Sq1Te1BqIRFVeAX8pHJSIB9//DHtAgc8Xa3wnlWg5JXcV7tNT5o0qU2bNnv37oU8LYbXhqIjjODVL774AqJGIWk7P2oBVNcUkXt7e3OyTp06SEZqI80u73rmzJmff/45zjBVUW1sQJiMLwYkAuvxADvEwFQHlf4rYcuWLX/66SdN4uwzQh1TA6goWfIxTn3yxwhVA3/QiAfyC/YGyaqkqt1kLeYr9/dgQWrQnNZgnDx58q233lLH2Bg8ZWU/MoQUgknr9PrdCJo32EovsKpXrw7vEJX6ucsIDkaMGFG+fHkOunTpwntXKwLzuE+MMHkWDCJzG58cwOn+/v40YCZdyDR1Pj4+qmmnwpiMeUKyZ98S0pgD3ojqHIqJieHp+FSurq7aQk2002qXNxp4JcUy96CyZcviW6pOMmTH66+/rtpUYMJ4PKVp06abNm0yGLvStR1IND/Q4n6OWQJfX98hQ4bMmDFD+aXmu8tTOPot7cwBh7/wwgtqs2e496gR+gDISnLE/4eVp9QQxTawmVpzX5G8lVF9tCZjx441qWma/uCFtm/fHoFlMI4eM6ljzs7O2iAkng7dKXdxpxGGf7bKycKNHTWBpZT9r0age8ijxXXVCa8t2YrhLDGCpGodsQRASylaJkLcbNJM08BJLpG7+fPnI+YQ8SZ5p2S03XtyHvKJMEPQfyWMjY3F81CrMOAOUsXNO4E4iQjQDA/bSExMfJQE4LuYj6BHuSMUSIPFW95++22tilvE0KFDs8l9zFrAIxiSeWd+7dq1KWSoSv1MMMIkTL9+/bTdqayAMOhRK/0KKKenn37ayhRRPz+/Hj160HyKsTw5qFevnsUV0bp3726yuazm9vTs2TP7ht14enpqw7DUYg3qmEZIv+C4mks4btw49fPSpUsPuzQlMRCh3rIw0r59+1rMNQLL4kY9uDSUhjZSKssBY/Tp04ecWrxK+lVXh3XmIeUWM6U6onr16qVtm5hxwNvPPvusSa/nhAkTlDJAPWhfMPW6/KOPPkKd6FWafloV3EVVhCctprNr165axaDYTXKEXKYdyfRyqen1SOGa4pf+T2rY2mIv3377rVoeMjk5Wauf6mrVqlWtqG0ySC60zT1NLvXv3z+9S6jSxzj5THqwMgSTr4Rbt26lrqtv/G+++SZVc/bs2eoDE6JqzJgxVH01DkPtE6n6Y6kBmV56FC57//33J02ahFZTT2nXrt3o0aOvXbuWHkdQt+bOnTtr1iykvclnRFLy73//u1GjRnllQQH8SJzd7777TkkosjZs2DC4T0lYjBPfBWKyqGLhDpyhxYsXWx+AxXvknf7yyy+0TBbXMOvduzcC66effjJfOL5169YjR47UpJ4gP+Gpp56iamG5vr6+Jq4Ub3zgwIHe3t4IDr3awKyon7g3VKdTp07BDHAFrQvtsd69RtPjAKidlbXli2kMAgMDaWyo2+kN7uGJ6AY1w4Z7TTTfq6++SlWnDmvtCrHRPC9fvpwmDVcBduLRUVFRhFTbTivPQW3KS2Y50LteNMA0YFeuXKGZVx26yqP49NNPMavDhw+TdzRllSpV9u3bN2jQILKv7x4mcpiK8JjhyZMnU1JSKA1MhvZSL/soTEqDR6M/tDFqRYoUgehIALdo3cOEQS6gUbQRRemBrI0YMYJHr1y5krxTXNxLifFo2v6M7Bjt4uLy4osvwv8zZ848duwYfEtNoBxatWrF29SbvJubGxITgiLNasCTSipPJ6lQljZ+gBjq168POdNqqL0BiIq7VF7IFCFJqn7KFLcodgoODl67di1hOnbsaKLUSdXEiRODgoI2btyoPqRQqTp06EB10pcz9Q0pNn36dN7dzZs3mzdvThhCkhKkNmosPY+USwhiwpAYbUywdYGLA8xbI8FIf95427ZteQonicSkjik5+8knn1Aa6MuLFy+SfZMAyFDol1d58OBBWjRi0D7OKmZesWKF+pJLCnlxyDXeiPaOOEm1HDp0qJ0Rpl1NtrY8mjgJpteahMSWbYywXtksC01ZDzOrQLWA0Xg32bq484ULF2B5yDfjMxbv3r0bERFx7ty5+Ph4+BF1Vbp06Ty6VhOuNtnHTjIxdIy25MyZM5g6dmKl9NSXHQiRgrL4lPPnz0dHR8O2WCPUDx/J8hwCgSDLAck8//zzMBKUhXupqVtBXoEILIFAIBAIRGAJshgyBksgEAgEAoFABJZAIBAIBAKBCCyBQCAQCASCJwoyi1AgEAgEglyH4sWL9+/fv0CBAkWKFHF1dZUCyXOQQe4CgUAgEAgEWQz5RCgQCAQCgUAgAksgEAgEAoFABJZAIBAIBALBEwUZ5C74LxISEq5evVqkSBEPD49sXYxeIBAIHgVJSUnnz583GPdIyciONwKBCKy8jSVLloSFhaWkpOhP8rNUqVLDhw832as4NDQ0KCjIxcWFS1Y2Y4+Pj585c2Z0dPRHH31kvpHw119/ffr06UGDBtWrVy/jkujy5cs//fQTN37wwQekzWDcvprEREZGpqWlkeASJUo8/fTTPj4+NjY2Bw8eXLFiRaFChYYNG2Zlq2OBQJCHcObMmQULFly7ds3e/n9NQGpqKpbepk2bFi1amDDG77//Hh4e3qlTp5YtW1qJ9ujRo5BSnTp1ICVcNf0lSGz27NnQVM+ePbVdBR+Ie/fuhYSELF68uH79+kOHDuXMnTt3tm/fvnHjRrVBZMGCBRs0aNCxY0cycv36dcjq8OHDrVu35oy8ZcFjh3wifNIBey5cuDAiIkLNJ4UBL126BBWeO3dOCkcgEOQeoLd27NiBikpOTra1tUVgIbO2bdu2dOlSg3E3XykiQa6C9GBlGVq1aoWbVaBAgb/++uvUqVOurq5dunQpXLgwPpb53uNVq1YtVqwYXpf1/m0XF5cBAwbcvXs3+xZBCQ0NxfNDXfXo0aNhw4YnTpxYvnx5XFwczmipUqUqV6783HPPwWWkRF6xQJA/gGkPGjQIRRIVFbV27VqEC9yF+aNXzKmmSJEinTt3ht/c3d2tR1u+fPnXX3+d8I6OjtnkDe7btw+O9fb2VgtEBQUFbdmyJSYmJjo6umzZsh06dGjSpImbm5u8YoEIrHyF4kYoPuI/ugq6MfkyCNAuSKsiRliM59KlSyiqkiVLIr9gEC8vL/1VXDc4sUyZMsRv8fb4+Phr166ZD6W6YQTEauLnRUZGcr527dp+fn789PX1LVeuHER27ty527dvw7ZwmckjoLObN29yvlChQuYJSElJgexcjNA/67IRFFHRokUt+ppknEsqTiI5f/78rVu3yL6JPOUkIR0cHJRCTe91EANFTTrJjjndc4lSKlGiBBm0mBiejugkAI8gqtjYWCKhgREvWZAPgPmonYOp27AErELdLl26tEmw20ZgaGosgTnu3LmDMcJyStPgLkIg+gAYIFaPFVs0HIgOS1TkqTdS0sNdsJ+JX4ftw1dYJXJQ8SeicM+ePZyHFRFYnkaYpJBbCGyeOy0A1s1del8XxanGeHGXRZJBiV69epWUcAxRQKFkhBhgZn0wdenixYuUD4Rs5Y0Q4dmzZ3kv5k+0ckkrLp4Oc6oGiMTD3qQtvSZGIAIrX+GLL77Ahp977rnjx4/v3r17/Pjx4eHhK1euhD5GjhyJhc+YMQN7/ve//71169YTJ05wpnHjxt26dcM4uaSNwYKtfvrpJ6KytbXt0aMH9KSnLa4uWrTozJkzWDU2iWZ6+umnlcI7ffr04sWL4Sx+4ommpqZqN/IsNfaCOLVuM6gN+oB5Dx8+vHz5cm0MFna+YsUKxYlQ87/+9S+ewo3BwcGbN29u0KABREwWeBBXX3zxxUqVKik1s2rVKtLAgzB+f3//nj17omyQOHPmzCG/Y8aMwTElmxQRMezdu3fNmjVcJWby0qxZs9atWyv+Xb169Y4dO8g4nOLj49OnTx/zoWkG4y70f/zxR0JCAjHw0KZNm7Zp00YRKE/hEpzLJeKpWrUqiSFrvJrffvuNAJ06dTpw4AA/aVp69epVoUIFEhMREUHKhwwZUrNmTanPgnyMQ4cOffPNN40aNapXr15QUFDFihX79es3d+5cKCswMLB58+Zr167FUhobAeFcv34ddQJZYUraGKxnn30WquGWBQsWwEsYdbVq1fCU4CXN/8Hk1cc+bBw26Ny5M2SiVB2P2LhxIzFUrlyZyDVHEVvGZvmpuXZKhN00gjh5nDYGKzExccOGDVu2bIHreAQZIVXIFEgV7iUYeSRh8BtX0S5YN8kg/l27dq1bt44D4icNHTp0gNlIJ+cXLlxINimH+fPnk9ru3buTfUqDQsPjJR5SCzNDGsqn5VJYWBiJJM3Vq1eHMM0LHGIhZhhS/aSU2rVrFxAQoAQodLp+/Xo1foNLbdu2bdKkCTndv3//zz//jPfYv39/Dq5cuaKSCh/ykzJE0kHaFulRkGOQMVg5BGwMU4eAMFSLzhzGg9pAmuBKQh8HDx5E+piERMTEx8djyd7e3nAHtq0PgF2dPHkSM4MskCN7jcB6ufT3339jgdAHDhY3cqzJKXPAlf/5z3/efPNNHCBtzL4KDzHhKZYwgmT88ssv6DkVgJ9QCcyIYZMGsolyUiQFTXNMkuA42JCswRokTMVJxv/66y8CQCJkHKEJt1IOPAK2IlpEFVcJCQ2FhoYSM/xFXsgslxCCJumH16AkVJ2KgTiJn5JXV7mFG5VHS2LgWd6L8uMBxIQShawhJgTZtm3b5s2bx1VC8p8buSSVWZDvyQozxIhgG4tdJgRAPKEeMHYskWA4JPoAypSQUJgnYTAfji9cuEBsirIIj1iBAUqWLImdEoMiN9V5vGnTJiwU48WW4StUUXpJRSG98847EydORJTcunVLnVSPIIV//vkn90J6RYsWVWpPCwCNoFHwnSAlSAYuPXLkCJdOnToFy2Hs8IOXlxfph47wx1Q5kC8SiS5UOo8zUAT+GFxBeJ4SExPDVdXtxCUeQUbUhCHiV5dMAFNxntgUr8IwZB931GD8vIA3yCXoiNJQl3D21KMpPZicVkP1ICIoyQ6Sl5RAevyEaaUySw/WkwIEE84NXIM9m0w2VM5K+/btW7VqBb/QqGOo5mHU5zz8pxYtWhDJ5MmT+anMPjY29tq1a7DGoEGDcGvwOHGqMN0UIwgG+zz//PO4X8SPFCPww1UUe3uoBwvHmAcOHAgRLF26FAFHkmAo6APnEtodPHhw+fLlYd7t27fDTWim6Oho1BIBcBBhuj179uCrQXZNmzZVXzkJQ/qfeeYZYkZc7ty5k9RywFMgXzJCPOfOncMthlng6K5du1JQilnOnj2rvmPqk4qWggQ9PDzw7eAafE2UGboQjzMhIYHIKSVeBA4l3I0iJIXkS6k9Dnr37o2PSOmhCy9evEjCSCq8psSc5oILBPkY1HO4olevXlilsl/9VSwIBujXrx8NP3aBCFBEpIHwnIEcsM0OHTrUr1+f4xkzZsBFKip+8ogqVarAV1jxd999hyFfunSpWLFi2DjioFq1ai+88AJuGEZqUZdYgeqygmRQV6ojH3qcPn26Gl2gOvXJguq1gniXLFlCYDQW50kMifT394c9IMnly5efNEJ9USVaIifZsASUCF2QEZ5CBuEl7v3mm2/gefgKBkNEIrk6duzYqFEjXMRZs2bBPzxXr1l5+rFjx1R//EsvvQTDUEqkhBg4Q4TwEiJy1KhRnOQSARTlqsQg7HgL/AwJCYGQ1U+SSont3r3b3PkUiMDKn4ApmjdvXqtWLWVd5p1Y2Jj63Ibzkd5AH0wX44ezlAejD8YxZozEUX3C+jCwVaoRSojovwY+LBRvIl+g15YtW8Idiq0wddIPK6lhsOoRnOQ/vKBGzpI2LnEjfKQyouKEWBFMsLn6CSmQYChDDb2CXDiA6RS1UXroIcKgn/r27cvjzGcJ8ETi9PPzU18VUWkcKPVJ4omcIlJjO5TTqWQTkZMkIlSD3lRq8QvVT9myU/BEkRV216ZNG2XOCCyT+o+lYICenp6EVJ/GzImCMKgHqECNBFLf9VRI/hM/Tg4aQtkaZqiNW1A998oADcau8cxZH5GQPDSNwTjG68UXX1SjNiEBIiRaHFH+q0QqeiENsAEnFT9wHr7CYVM98QbjN0oy3qVLF/VTrR0IQSmWUL1uBIZteJZKgBpQUaFChdGjRyuVZkL7+Io8UQ0RUyN3cVyVNlKJUZcoEC7h8mm+MWmGS6FKipoD7ScFKHVYBNaTBfX9K5uGSKvVttRAVMxvy5YtBw4cUB8HswoQQaVKlVAzsO3PP//cuHHjdu3aZXCuEDILVw8HC/tHykBwJmP/LQ6WNyd9EnDq1CkcvpkzZ3bv3t3X1zcj5dnOCC0XUhUFggdCP84pa6GEVJ06dZQ9Il82b96MUklvHH3myJZHVK5cedOmTTDGlClTAgMD+ZlBWQadhoWFXbhwgeQpiaOPOSPeKXlEdUFQZ86c2b17N6qoV69e5urKHDBqXyOU5yn1UASWIBchODh4165duFCYd9auxg5l8B9Zs3jxYthw27Zthw4d4qefn98DH6Q4Kzo6WlM5mRCauGX169ePiYkJDQ3F55sxYwYc3bVr1+xbwEIgEGQfIiMjly9fHhsbi9+Fx5WFncQqqipVqnTo0EENx5w3b1716tW7deuWEZ+Q268boY61vrSHVXgBAQHnzp0LDw8/ffr01KlTGzVq1KlTJ3nvIrAEeRILFy5E9Dg5Ob300ks7duzYuXNn5uJBPOFWEk/Pnj1N3DVvb+/Ro0evXLmSADdu3IC2hgwZ4u/v/0BxRmw4kcWKFUNpKc5yd3d/qAHjijR79OgBb/7xxx+XL18+cOAAqgvX8IHL8wgEglwC5VydPHly/vz59+7da9GiRe3atX/++WfzIacZAc7e6tWrExMT69atW6NGDf0lnMzOnTt7eXmpIWL79+/n//Dhw617d2pIKGqsVatW6lsb4V1cXDKh/4oWLTp48GB4GL8XpzckJOTatWv9+vWTOvDkQGYR5gfACPv27YOz0EMonpIlS6phnpmLDc7C5YqKioL+zMkIqdS/f/9Bgwa5uromJyfv3r1brapsnbPs7e3LlStX3ohMD6pQ8PPzGzduXMOGDSFQSBMP2Hr4iIiIv//+m5AZ7N4XCATZSlboIbw45A6qqGvXrpxRHeSZQFJS0rlz586cOYPHZd6VzplatWq99tprDRo0QC1duHABHnjgp09ID3IrXbp0hQoVPDw8Mqf8FOC65s2bjx07tmLFiuQ6MjJSLa+VHqDcI0eOwFfHjx/PRM+ZQASWIFuA6d66datmzZoPu4qxp6eng4MD1KPNj+NYrR2PKtKUEMdQw9KlSxctWoQf5uvr26ZNG8LExcWpEeIZfFxMTMyCBQt++eUXi4RohfLQRnv37p04cSLUw7Ea0wAvX7x40fpoM8QihKW6u0RgCQSPF9gyTIUqKlasWPXq1Q0PM4MEpipRooSab6jOKNnEeTVM/r+tmtHMQ0JC5syZs3PnTnzCtm3b1qhRQ635mXESUMtQ/fjjjzt27HioUQ08Alm2atWq6dOnw3hqd1cXFxdSq8a8WxFYhw8fFoElAkvwGICgwSVSE4kRKCZLBqBXoC0uXblyBb2lBnRDOhg28oirnOQMYfQrlKpJdsS5fv16HEFIQa0Q4eXlpWamaLTIyYiIiNDQULVGizY9UK/DTMAt5cqVc3Z2jo6OVk9Xaz1YYavixYsXKVIEN05NaVbh1arEJJKT69atI4PEzNN5rloWdc+ePXDZmjVrOE+OYNujR4/CwvwkBohVLaml1tCPjY1ViVELOnCpcOHCMk9QIMgqqGl6kAMsofqYMTRtMRQlQZBZ6tLJkyeVu6VsUH2P4ypCCqaCOrR1DWAkrJt4du3atX//frRIUFAQUcFg8IzJFBZYgjBhYWGchwZxC9X0wPR6y1QPN24bjyZJaB30EAdWhA6XSA955Cn8jDICMuGkWiAewkSiKSFIXsgIDjDHuKlz586FmhB/pUqVUg9KTEwkkURFDGo9enWJYBQFTzl48KB2SZAnIGOw8hK8vb1RBmoFUTUjTyMsX19fJRcmTJhQqFAh7Faxkpqz4+HhgdpYsWLF77//zo36b39NmzblRgxYRWv4Zw52vXr19N8ZuaVs2bKVKlVCrCxevHjJkiUG484V+IVWPvlBbQga6AbHcfny5WqpdJ7VokULiMbiNBkegTyCTWbOnGn4Zyqy2q6Hu+AvSuCLL75QkcOGavIRZAqXkXGVJDxOzsyePVuLgZAwOA91d3cnScFGqEgqVqyIBHzgp0aBQJBBQDvYFIyh+o8B1gdRqKUQMHDMXC2YvmHDBrUJVZoR3Av5YKfoqk8++YS74DFtHh8OUpMmTYgT61YUxC3cTmylS5dWw9IN/8zIgcEgNNTJ+++/b/hn4St/f//0OrzVXWox5PPnz3/wwQeKDHH5nnrqKYu38OgqVaog46DQt99+22Bc+Z3b1RY68BWy6cCBA2rBT+Inm1CZWtgPOVWrVi2DccwDBQJ1jx8/XgXjJ9EajIs7wGl4lRSFVqommxEJcjPsPvroIymFrAViQm1jV7VqVeX9IAto49UyUUrZIFPww+CLatWqGYxf5XBNYATMCfsnBvUTflGX6tatSwzYG8aG8RP5gAED1CI02CfRcoY4UQlIKy5BClgj3FS5cmXihIC4hMYiSd26dYM1SBhxQhBItJo1axJS7TvGUzivbUFDItWyn9zIJTVnEC6AHZApgYGB9evX517OkBg1yoqYVe+a9pN7KZC4uDh8ONinZcuWqDpSBeWRU26vU6eOtm2WklOkBA7Fe4Oje/XqBd0oP5US4BKFQIQ+Pj69e/dWm39pgdUYL7UYjNrVkQA9e/aknJUYpShIklrMkIe2b98+ICCAMygz3EeojdRShjxF+wmpwYmcIar0dmAUCPIiMBOsiXqOyeAIKa8Jq8TQsBTlpGHa2BeGzxnCcAwtVDRCTbjjJ8bIT2wEy8JGCIkhwyGXjEBJYGjQDhZHMPhE9WrzrAYNGnTp0kX1qcOHaCDCILCOHz+Ovbdp0wZyIIXEqdZZgOg4gJR4FgTi5eXVqVMnKMXwz5pSxENiMFXigTegJrXrl5pFiHojO2rpVPIIY6ivAdpPEsbtkJVango1Q/xQmVquGU7gidqifVCKp6cnqYWTFXk2bty4a9euiiI4T7JJAPHD4Y0aNVKXSAClRPIoJdLDJQ44QzZ5Imnu3r27ehcQkeJ8tTMjGe/RoweX4HbKnBSSTTXHSP2k9MgmVwnPf8jQfCdZQU7CRr6MCAQCgUAgEGQtZAyWQCAQCAQCgQgsgUAgEAgEAhFYAoFAIBAIBCKwBAKBQCAQCAQisAQCgUAgEAhEYAkEAoFAIBCIwBIIBAKBQCAQiMASCAQCgUAgEIElEAgEAoFAIAJLIBAIBAKBQCACSyAQCAQCgUAElkAgEAgEAoEILIFAIBAIBAIRWAKBQCAQCASCrMP/CTAArM1oB8p3L6UAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "residual_plot_examples = os.path.join(path, 'images/residual_examples.png')\n", "Image(filename=residual_plot_examples) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

    Various Examples of How Residual Plots are Used as Diagnostic Tools in Regressions.

    " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
    " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#define figure size\n", "fig = plt.figure(figsize=(12,8))\n", "\n", "#produce regression plots\n", "fig = sm.graphics.plot_regress_exog(model_fit, 's1', fig=fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    \n", "What do these plots mean?
    \n", "
      \n", "
    • The four plots above are examples of diagnostic tools based on residuals, and are especially informative when using Multiple Linear regressions.

    • \n", "
    • This example is overkill as we are only looking at one specific predictor variable.

    • \n", "
    • Pay attention to the top right plot This plot is the residual vs. feature of interest in this post. The x-axis on this plot shows the actual values for the predictor variable points (T cells) and the y-axis shows the residual for that value.

    • \n", "
    • Since the data points appear to be randomly distributed along the horizontal 0 line, suggest the data is not Heteroskedastisdic for the predictor variable.

    • \n", "
    \n", "
    " ] } ], "metadata": { "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": 4 }