{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Chapter 2\n", "### This notebook and the figures below are made by Yeseul Lee, under the guidance of Steven Skiena." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from scipy import stats\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from math import log\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.2 Left - Dice pdf" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = [2,3,4,5,6,7,8,9,10,11,12]\n", "y = [1,2,3,4,5,6,5,4,3,2,1]\n", "\n", "result = [2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,\\\n", " 8,8,8,8,8,9,9,9,9,10,10,10,11,11,12]\n", "\n", "#Graph the two cumulative histograms\n", "n1, bins1, patches1 = plt.hist(result, bins=[2,3,4,5,6,7,8,9,10,11,12,13],\\\n", " align='left', normed='True', histtype='step', color='red', linewidth='1.2')\n", " \n", "#The x and y axis and the title\n", "plt.title(\"pdf\")\n", "plt.xticks(np.arange(2, 13, 1.0))\n", "plt.xlim(1.55,12.45)\n", "plt.xlabel(\"Total on dice\")\n", "plt.ylabel(\"Probability\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.2 Right - Dice cdf" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = [2,3,4,5,6,7,8,9,10,11,12]\n", "y = [1,2,3,4,5,6,5,4,3,2,1]\n", "\n", "result = [2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,\\\n", " 8,8,8,8,8,9,9,9,9,10,10,10,11,11,12]\n", "\n", "#Graph the two cumulative histograms\n", "n1, bins1, patches1 = plt.hist(result, bins=[2,3,4,5,6,7,8,9,10,11,12,13], align='left',normed=True, \\\n", " cumulative=True, histtype='step',color='red', linewidth='1.2')\n", "\n", "#The x and y axis and the title\n", "plt.title(\"cdf\")\n", "plt.ylim(0,1.05)\n", "plt.xlim(1.55,12.45)\n", "plt.xticks(np.arange(2, 13, 1.0))\n", "plt.xlabel(\"Total on dice\")\n", "plt.ylabel(\"Probability\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.3 - Iphone Sales\n", "#### Data Source: https://www.statista.com/statistics/263401/global-apple-iphone-sales-since-3rd-quarter-2007/" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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XXHABPPlkte1TUNH5DE4FhgLXA02Bh1V1ecCjLAfLDIwxAXX4MFx4ISQkwIMP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\nYeXKkmlatZrGXXcl0a8fnHde0ZEnvVU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sales =[0.27,1.12,2.32,1.7,0.72,6.89,4.36,3.79,\\\n", " 5.21,7.37,8.74,8.75,8.4,14.1,16.24,\\\n", " 18.65,20.34,17.07,37.04,35.06,26.03,\\\n", " 26.91,47.79,37.43,31.24]\n", "x = range(25)\n", "xlabels = ['2007 Q3','Q4','2008 Q1','Q2','Q3','Q4','2009 Q1','Q2','Q3','Q4',\\\n", " '2010 Q1','Q2','Q3','Q4','2011 Q1','Q2','Q3','Q4','2012 Q1','Q2','Q3','Q4',\\\n", " '2013 Q1','Q2','Q3']\n", "\n", "plt.plot(x,sales, 'bo-', label='iPhone Sales Per Quarter')\n", "plt.plot(x,[sum(sales[:j]) for j in range(1,26)], 'ro-', label='iPhone Total Sales')\n", "plt.xticks(x,xlabels, rotation='vertical')\n", "plt.ylabel('iPhone Unit Sales in Millions')\n", "plt.xlim(-1,25)\n", "plt.ylim(-10,400)\n", "plt.legend(loc='upper left')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.6 - Spearman Correlation Coefficient & Pearson Coefficient" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FllRDvebcetNN/ODssznolVd4YeRI/unaazn1tNPibpZk0KSoDErFluSqK67g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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(3)\n", "x = np.random.uniform(-3,3,80)\n", "y = np.absolute(x)\n", "\n", "rho, pval = stats.spearmanr(x, y)\n", "pearson = stats.pearsonr(x, y)\n", "\n", "title = \"Spearman coefficient = \" + str(\"%.2f\" % rho) + \"\\nPearson coefficient = \" + str(\"%.2f\" % pearson[0])\n", "plt.title(title)\n", "\n", "plt.plot(x,y,'ro')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.7 - Spearman Correlation Coefficient & Pearson Coefficient ( 3 graphs)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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CcZfGnjjnFpvZ/+JVNe9qZk8AFzrnPsK7u/NB4HXv++tiPnPONQWWV/vvmagf8Llz7qsk\n27YDXg6U5xsz+xzogxcY9vWXY5+1M14VdHv1baUMQf2BPgnv2Ql4JrDPR4Hnq4FuZtYp4bvItlV4\nQSKoJ95FTKJGvLbHtc6574A3zGwmcCRes4krgV7Av/D+SE0D9nTOfZyjskvxUgxSDIpJOwY55/5j\nZqcCt+BdWN6D17RpqT+a2S3AWOeca2t0Myl7ikGKQTHtuQ7COfec//QrMxuLl6zvAvw7to+ZHYDX\nn+vhrJe2wJXzIBfgndSJluBdFG/pnNvCObe5c663c24Pf/tVeLUXuznnegOjkhzHtVhwbqZz7kC8\nHzLANf6/ywPr8J8vz+BzLAG2iI1il6DFe5jZpnjV8Mv810X9zxn7rD2dc+dnuQyJ+72X8J69nHNH\np/k+rrWNgSFTv0p4xNadmOKl/8ZrGhA7zvZ4tVNvJ9n39dbK5Zxb45wb45zr65wbjFct/3KS14go\nBikGxbQnBuGc+7Nzbnfn3PfwLlwrgBfwLoj2Bu43sw/9dYaXfO2f5meU8qEYpBgU064YlPi2frkS\nz4NT8PqhrU7jGCWl3BOsDfh3VJ4EJptZD/Nsb2YH+bv0wMvyvzazPsAlrR3PzHY0s0oz2xivo2Qj\nXmACr53ub81sKzPbCq+Zx90Zlvlx4P/MrLeZdTGzAwPvcbqZ7WFmXfEC4wLn3Ad4I0/taGaj/Nds\nZGZ7m9lO7Xh7S6MMQS/gfXfjzJtforOZ7WZme7f1Hr6P8DpeJuWah0ztmfCIrbsvxUtnAEeb2f5+\n8K0FHnbOfZPkPd7DawJ4mXlDsu+C13xiNoCZbWdm2/rP98UblenyVj6fSJxikGJQWzEIwMyGmjdd\nxPeAW4G/OOfecc6txGuqtCfexdKR/kuGAv9s5TOKAIpBikFtxyAz29XMfujHoM2A6/FqLRcG9umG\n1wRzeiufq2SVc4LV2h2AU/Cy9rfwqr0fxGuGAd4JtxfwJd4FdWK1Z+JxuwJX43WwXI43n8Kl/rbf\n4XV0fB1vtJ2X8JqXZVLmk/Ha/i7Ca6M8FsA59xRewPoz3t2agXjJAM65VXjtnUf4ZVvul7VrK+/T\nWpmSlqHFzl719k/x/vjX4/VdmsaG1dKp3uNqYLyZfW5mF7ajnK1yzr0FnAPcixe8NsXrSA7E53T4\ndeAlJ+LdMf4M7zy4zDkX9bcNAv5uZqvwAss4//9BJEgxSDEoWK72xqApeOfAQrw4FBwieUXsgff/\n7oAVzrl12SqvlATFIMWgYLnaE4O+jzfS4Uq8fnT9gZ8659YHDnks8IVz7ulslbGYxIbcbH0ns154\nnQR/gHfXYbRzTnfCRKRDzOx2vD80HweanwS3n4Q3vC947cCrnHNv5LGIIiIiIu2Sbg3WFGCO82ah\n/iGBKkARkQ6YjjcUbSrv4Y1g9EO8O53T8lIqERERkQy1WYNlXme9V51zg/JTJBEpJ+aNWDU7WQ1W\nwn69gTecc/3yUzIRERGR9kunBmsg8KmZTTezV8zsVjPrnuuCiYgkOBOvA7GIiIhIwUpnHqwueKMP\nneece8nMbsSbEK0muJOZtd2ZS0SKjnMu9Hl0zKwSOB1vYsNk2xV/REpUIcSgtigGiZSuTGJQOjVY\nS4ElzrmX/OWH8BKuZAUo6EdNTU3oZVAZVcZiKmMhMLM98Iah/plz7otU+4X9XZXLOaHPUDyPUvgc\nxSTs70rnS+l8Dn2Gwnlkqs0Eyzn3MbDEzHb0Vx2CN2yniEg2GMknu8TM+uMNAXyyc25xXkslIiIi\nkoF0mggCjAFmmNlGeKN6nZ67IolIuTCze4EIsKWZfYDX9HhjwDnnbsWbu2QLvIkbDVjrnPtxWOUV\nERERaUtaCZZz7jXgRzkuS85FIpGwi9AmlTE7VMbi4Jw7qY3tZwFn5ak4oSuFc0KfoXCUyueQ/CiV\n86UUPoc+Q/FLa6LhtA5k5rJ1LBEpDGaGK5IO5oo/IqWnUGKQmTUAK4EmktSkKwaJ5F5DQz11deNZ\ns2YZ3br1oapqIhUVA3P6npnGICVYIpJSoVzctEXxR6Q0FUoMMrP3gL1cioF2FINEcquhoZ6amuGM\nGLGY7t2hsRFmzhxEbe3cnCZZmcagdEYRFBERESlnhq6ZREJTVzc+nlwBdO8OI0Yspq5ufLgFS0HB\nQkRERKR1DnjCzF40s7LpFypSKNasWRZPrmK6d4c1a5aHU6A2pDuKoIiIiEi52t8596GZfQ+Ya2YL\nnXPPBXeYMGFC/HkkEin7Tv4i2dStWx8aG2mRZDU2Qrdu22X1faLRKNFotMPHUR8sEUmpUPo/tEXx\nR6Q0FWIMMrMa4Gvn3A2BdYpBIjlUbH2wlGCJSEqFeHGTjOKPSGkqhBhkZpsAnZxzq8xsU+BJoNY5\n92RgH8UgkRxrHkVwOd26badRBEWkOBXCxU06FH9ESlMhxCAzGwjMwuuH1QWY4Zy7OmEfxSCREqQE\nS0SyrhAubtKh+CNSmhSDRCRMGqZdREREREQkZEqwREREREREskQJloiIiIiISJYowRIREREREckS\nJVgiIiIiIiJZogRLREREREQkS5RgiYiIiIiIZIkSLBERERERkSxRgiUiIiIiIpIlSrBERERERESy\nRAmWiIiIiIhIlnQJuwAiIiJS+Boa6qmrG8+aNcvo1q0PVVUTqagYGHaxREQKjjnnsnMgM5etY4lI\nYTAznHMWdjnaovgjklsNDfXU1AxnxIjFdO8OjY0wc+Ygamvn5jTJUgwSkTBlGoPURFBERERaVVc3\nPp5cAXTvDiNGLKaubny4BRMRKUBKsERERKRVa9YsiydXMd27w5o1y8MpkIhIAVOCJSIiIq3q1q0P\njY0t1zU2Qrdu24VTIBGRAqYES6TINDTUU109irFjK6muHkVDQ33YRRKREldVNZGZMwfFk6xYH6yq\nqonhFkxEpABpkAuRIpLvjubqYC4iMc2jCC6nW7ft8jKKoGKQiIQp0xikBEukiFRXjyISmdGiL0Rj\nI0SjI7nmmnuy/n65vrgxs9uBnwIfO+f2SLHPTcBPgG+A05xz/0qyj+KPSAlSgiUiYdIogiJloAQ7\nmk8HDk+10cx+Agxyzu0A/Ar4Q74KJiLhWrBgQdhFEBHJiBIskSJSah3NnXPPAV+0sssxwF3+vv8E\nepnZ9/NRNhEJx/r16/nd737HMcccE3ZRREQyogRLpIiUYUfzPsCSwPIyf52IlKAlS5ZwyCGHMG/e\nPF555ZWwiyMikpEuYRdARNJXUTGQ2tq5LTqa19bmvqN5MZgwYUL8eSQSIRKJhFYWEWm/WbNmMXr0\naIYOHcr+++/PtGnTwi6SiEhG0hrkwswagJVAE7DWOffjJPuog6dIiclHB3MzGwDMTjbIhZn9AZjv\nnLvfX14EDHPOfZywn+KPSJFavXo1F154IU8++ST33nsv++67b3ybBrkQkTBlGoPSrcFqAiLOudb6\nSohIHjQPlbyMbt365GWo5Bwz/5HMo8B5wP1mti/wZWJyJSLF6/XXX+fEE09kzz335NVXX6VXr15h\nF0lEpMPSTbAM9dcSCV2yebBqahbkbB6sXDOze4EIsKWZfQDUABsDzjl3q3NujpkdaWbv4g3Tfnp4\npRWRbHHOMXXqVK644gquv/56Tj75ZMwKvqJKRCQt6TYRfA/4HHDArc65DRpGq3pcJPdKbR6sbFH8\nESken3zyCaNHj+ajjz7ivvvuY/DgwSn3VQwSkTDleh6s/Z1zewNHAueZ2QHtfSMR6bgSnAdLRMrI\nU089xZAhQ9h11115/vnnW02uRESKVVpNBJ1zH/r/fmJms4AfA88l7qdRvERyKzYPVmINVrbmwYpG\no0Sj0awcS0QkZu3atYwfP567776bO++8k+HDh4ddJBGRnGmziaCZbQJ0cs6tMrNNgSeBWufckwn7\nqXpcJMeS9cGaOXNQzvpgqXmOiHTU4sWLOfHEE9l6662ZPn063/ve99J+rWKQiIQp0xiUToI1EJiF\n1/+qCzDDOXd1kv0UXETyoHkUQW8erFyOIqiLGxHpiLvvvpsLL7yQyy+/nPPPP7/dA1koBolImHKW\nYLWjAAouIiVGFzcikomvvvqKc889l1deeYWZM2eyxx4bTHOXFsUgEQlTrge5EJEC0NBQT3X1KMaO\nraS6ehQNDfVhF0lEpIUzzzyTXr16semmm/LSSy9lnFyJiBQr1WCJFIl8978C3T0WkfStXr2aTTfd\nFIAf/ehHvPDCCx0+pmKQiIRJNVgiJa6ubnw8uQJvJMERIxZTVzc+3IKJSNmrqamJJ1djxozJSnIl\nIlKs0hqmXUTCpzmwRKQQBQeu+PLLL+nVq1eIpRERCZ9qsESKRGwOrKBszoElItIeixYtapFcOeeU\nXImIoARLpGhUVU1k5sxB8SQr1gerqmpiuAUTkbKz2267scsuuwDwyCOPUOr9j8ysk5m9YmaPhl0W\nESl8GuRCpIjkcw4sUAdzkWLWHC+W0a1bn7TiRVuvaWpqonPnzi2W2zu3VXsUSgwyswuAvYCezrmf\nJdmuGCRSgjQPlohkXaFc3LRF8UekpUxGHX3uuWe4+uqjOO+8VUlfc88993DyyScDcNBBB/H000/n\n/HMUQgwys77AdOBK4EIlWCLlQwmWSBnI5I50RxTCxU06FH9EWqquHkUkMqPFwDgNDXDvvRXsskvF\nBvGjoaGeU07Zg0svXdXiNY2NEI2OZNKkGfF19fX1VFRU5OVzFEIMMrMH8ZKrXsBFSrBEykemMUij\nCIoUiWR3pGtqFuR0HiwRKU6Jo45+9BE8/jhccEED3bs3bBA/6urGM2DAqg1GKv32W1okV+WWRJjZ\nUcDHzrl/mVkESHmhNWHChPjzSCRCJBLJdfFEJMui0SjRaLTDx1ENlkiRSHZHOnZ3+Zpr7snJexbC\n3eN0KP6ItJQYL/70J/jlL0kZP371q/347rsFLfa56iqYO9d7fv3113PhhRfm90MQfgwys6uAUcA6\noDvQA/izc+6UhP0Ug0RKkCYaFilxmgdLRNKVOOrounWkjB8NDfUsXPgmw4bBnXd6iVdlZXNy9Z//\nLAoluSoEzrnfOOf6O+e2B0YA8xKTKxGRREqwRIqE5sESkXRVVAyktnYu0ehIZs2q5OOPK1LGj7q6\n8YwevYrHH4ettoIjj/S2m8Gzzz7NjjvulP8PICJSxNREUKRIZDIqWEeF3TwnXYo/Iq1rLX5Mnjya\n446LUlnZvP8hh0C/fvsyffo/wis0ikEiEi4NciFS4mJ3pIPzYNXW5nYUQREpDa3FD7OtWyRX8+fH\n+mcNCq/AIiJFTDVYIpKS7h6LlLaddtqJt99+O74cS65yXTueLsUgEQmT5sESKXH5ngMLdHEjUsrM\nmn/azzzzNI89dmu8disf8SUdikEiEiYlWCIlLIz+V6CLG5FS9PTTT7eYo6mQfzuKQSISJg3TLlLC\n6urGx5Mr8IZXHjFiMXV148MtmIgUFTOLJ1dnnHFGQSdXIiLFSoNciBQBzYElIh3R1NRE586d48vr\n1q1rsSwiItmjGiyRIqA5sEQkU0cccUSLZMo5p+RKRCSHlGCJFIGqqonMnDkonmTF+mBVVU0Mt2Ad\nZGZHmNkiM3vbzKqTbO9nZvPM7BUz+5eZ/SSMcoq0R0NDPdXVoxg7tpLq6lE0NNSHVhYz44knngDg\n4YcfVpNAEZE80CAXIkWieRTB/I3ylcsO5mbWCXgbOARYDrwIjHDOLQrs80fgFefcH81sF2COc26D\nD634I4UirAFpEr3zzjvsuOOO8eVi/X1okAsRCZNGERSRrMtxgrUvUOOc+4m//GvAOeeuCexTB7zn\nnLvWzPYDrnXOHZDkWIo/UhCqq0cRicxo0WfSm7R3JNdcc0/S12R7Cobg8OtQvMkVKMESkXBlGoM0\nyIWIhKUPsCSwvBT4ccI+tcCTZjYG2AQ4NE9lE8lIewekSVbjVVOzIOMar2By9emnn7Llllu2+xgi\nItIxSrBEikAYkwwXiBOB6c65yX6N1z3Absl2nDBhQvx5JBJpMc+PSL7EBqRJrMFKNSBNa1MwpKrx\nSubaa69l3Lhx8eWwalM6Gqui0SjRaDR3BRQRyQM1ERQpcGH26chDE8EJzrkj/OVkTQTfBA53zi3z\nlxcD+ziNl+66AAAgAElEQVTnPk04luKPFIT2/l7Hjq3kuOOiG6yfNauSKVPmpfWewVqrcePGcc01\n17Syd+7kIlapiaCIhEkTDYuUqBKeZPhFYLCZDTCzjYERwKMJ+7yP3yzQH+Sia2JyJVJIKioGUls7\nl2h0JLNmVRKNjmw1wejIFAyrVq1qkVw550JLrqCkY5WISLuoiaBIgSvVSYadc+vN7HzgSbybPbc7\n5xaaWS3wonPuMeBiYJqZXQA0AaeGV2KR9FRUDEy7eV9V1URqahYkqfVpfQqGHj16sGrVqvhyIdSe\nlGqsEhFpLyVYIgWuvX06iolz7q/ATgnragLPFwIbjBooUipiNV7BKRhqa1v2W0rs1zRp0oz4tlde\neYUhQ4aEUfQNlHKsEhFpD/XBEilwpdoHK5sUfyRf8j3gTPD3/9ZbcPHFzdsK7ZxXH6zC+v8QkY7T\nPFgiJSyMSYZBFzciQWHc7IjNq3Xkkc3rtt8ejj8+9bxaYcp2rFIMEpEwKcESkazTxY1Is0wmEe6o\nMWMi3Hzz0/HlJ5+EjTZq3yiDxUwxSETClPOJhs2sE/ASsNQ597P2vpGIZK6M58ESKRitDeLQ2m80\n09/vAQccwPPPPx9fnj/f+7dQ+zUpTomIeNozyMVY4C2gZ47KIiJJJGuWVFOzIC99sESkWapBHL79\ntmfK3yiQ0e83OPz63ntvyRVXfBZ/v3RGGcw3xSkRkWZpNRE0s77AdOBK4MJkNViqHhfJjTCaJcWo\neY5Is1R9sHr02I2jjno06W8UaNfvd/HixQwePDi+7JwLrQ9me+QqTikGiUiYct1EcDJwCdCrvW8g\nIh2juWVECkNsSPWrr76Ad95ZQPfujoqK3fjmm49b+Y26tH+/wVoraB4lsD3zaoVFcUpEpFmbCZaZ\nHQV87Jz7l5lFgJRZ3IQJE+LPI5EIkUik4yUUKXP5nFsmGo0SjUazflyRUtLY+CYXX/yxX4v1KLfc\nshkNDVBREdyn+Teazu83mFx98MEH9OvXL4efIPs0B5aISLM2mwia2VXAKGAd0B3oAfzZOXdKwn6q\nHhfJAc2D1TbFH8mXVE3hfv/7zbj00lUb/EZhwz5Ywd/vRRddxA033BA/VrGex7mKU4pBIhKmvAzT\nbmbDgIvUB0skvzQPVusUfyQTmYx6N3ZsJccdF91g/X337Uvv3oOS/kZT/X6DtVa77747r7/+elY/\nX77lIk4pBolImJRgiUjW6eJGSlWmNS7ZGMxh1apV9OjRI77c1NS0Qf8r8SgGiUiYNNGwSIkKc24Z\nXdxIqco0UepoU7jERKq+/r2CGxGwkCgGiUiYcj7RsIjkn+aWEcmNTEe9i40kGGwKV1ub3k2PYHJ1\n2WWw//5e/yz9nkVESotqsEQKWJhzYIHuHktxa632N5+/rTvvvJPTTz89vjx/fu7fs1QoBolImFSD\nJVKCNLeMSGbaqv2tqppITc2CJE39JmblvWOJ3U03RVtsCyZXoN+ziEgp6hR2AUQktdjcMkGaW0ak\nbXV14+PJE3iJzIgRi6mrGw80N/WLRkcya1Yl0ejIrDTViyV2kciMFsnVa6/9i3HjRur3LCJSBpRg\niRSwqqqJzJw5KH5RFrvLXlXV8bvsIqUsndrfioqBXHPNPUyZMo9rrrknK/2g6urGc9ddiznyyOZ1\nc+bAjBnX6vcsIlIm1ERQpIB1pEO9SDmL1f4m9rHKdW3RpEkz4s+33hruv997vmbNcv2eRUTKhAa5\nEJGU1MFcilVHh1Nvr5dffpm99947vqyBLLJDMUhEwqR5sERKUJhzYIEubqS4Nf9+vNqiXP1+Eue2\nOuWUQS0Su3vu6U+PHkPo2nVlKL/jYqYYJCJhUoIlUmLyfQc+GV3ciLQumFzNnTuXQw89tEVit359\nDz788FXOPHNJaL/jYqYYJCJhUoIlUmLCngMLdHEjkiiWPN155yOsWLEqvj7V+VcIv+NiVggxyMy6\nAs8AG+P1XX/IOVebsI9ikEgJ0jxYIiVGc2CJFJZYrfJddy1usf7ZZ5+munpU0qa8+h0XP+fct2ZW\n6ZxbbWadgefN7HHn3Athl01ECpMSLJECFdYoaCKlJJv9GG+66dIWydVTT8G338JvfnMUl166KumE\nxvodlwbn3Gr/aVe8aydVV4lISmoiKFKg1AcrfYo/kkw2f0OJA1kERwm8/XY444zm5cZGmDy5gl12\nqWD9+p7qg9UBhRKDzKwT8DIwCLjFOXdpwnbFIJESpD5YIiUoX6OgpVIoFzdtUfwpP+nUTKXT/ymd\n4wSTqwMOgIkTWx7vgQfg1FNbli+WdLUcRfCrUH7HxazQYpCZ9QT+ApzvnHsrsN7V1NTE94tEIkQi\nkfwXUEQ6JBqNEo1G48u1tbVKsEQku3J9cWNmRwA3Ap2A251z1yTZ55dADdAEvOacG5VkH8WfMpJu\nzdTYsZUcd1x0g9fPmlXJlCnz2jzODTfcwEUXXRR/XX39exvsf8stm3H88auoqGg+fmLSpUEtMldo\nCRaAmY0HvnHO3RBYpxgkUoIyjUGdclEYEcmOhoZ6qqtHMXZsJdXVo2hoqA+7SFnjN7mZChwO7Aac\naGY7J+wzGKgG9nPO7Q78b94LKgWnrm58PMkBr3/TiBGLqasb32K/WP+noGD/p9aOY2YtkivnHBUV\nA6mtnUs0OpJZsyqJRkfy61//P+bPHxR/n8ZGuPNOOPzw5vfUoBbFzcy2MrNe/vPuwHBgUbilEpFC\npkEuRApUsrvrwc7zJeDHwDvOufcBzGwmcAwtL1zOwuvv8BWAc+7TvJdSCk66I/NVVU2kpmZBkhqq\nia0eZ9KkGfHlhoYGBgwYEF+uqBi4QU1U375z4015Fy6s56STGthmm+btGtSi6G0L/Mm/KdQJuN85\nNyfkMolIAVOCJVKgWru7XiJNjfoASwLLS/GSrqAdAczsObwLm1rn3BP5KZ4UqnRH5ovVOAX7MdbW\nNvd/SjxOZWXL90m3yVcw6Urd7HBiG0eRQuWcewMYGnY5RKR4KMESKVCaPwfwYtRg4CCgP/CMmf0g\nVqMVNGHChPhzdTAvbW3VTAUlq3FKdpwjj2y5LdP+NBUVAznrrDu44opT6dLlS9at683ll99RKrXO\nOZfYwVxEpBgpwRIpUGUwf84yvKQppq+/LmgpsMA51wQ0mNnbwA54wyW3EEywpLS1VTPVnuOcdNJU\njjjiJ/F19fXvdSgZamioZ9q00VxwQYOf/H3JtGmj6du3ZJr25lTizZHa2trwCiMikiGNIihSoEp9\nHiwz6wz8BzgE+BB4ATjRObcwsM/h/rrTzGwrvMRqT+fcFwnHUvyRdkuc2yob51A6Q8NL+gpxFMFk\nFINESlOmMUg1WCIFKlt36QuVc269mZ0PPEnzMO0LzawWeNE595hz7gkzO8zM/g2sAy5OTK5EMhFM\nrurq6jjnnHMyOk7iPForVryrpr0iImVONVgikpLuHkupGTp0KK+++mp8uSPnTbJa5lTzYqkGKzOK\nQSISpkxjkBIskQKVeGe8qir/tVe6uJFSku0mgamaA/7+95tx6aWrQmvaW0oUg0QkTGoiKFJCymAO\nLJG8+e677+jatWt8ec2aNS2WM5VqpM9ddvkB0eigkmzaKyIibVOCJVKAymAOLJG8SKy1GjduJOPG\nHcH69T1Zt87o2nVlxjXEqUb67N17kH6nIiJlrFPYBRCRDWkOLJGOCyZXW2+9NaecMohIZAbHHRfl\nqKMe5fPPH2G//aJEIjOoqRlOQ0N9u45fVTWRmTMH0djoLceaA1ZVaVJhEZFyphoskQJUCHNgrV+/\nPm/vJeUlsX/h0UefzezZt27Q3zBVP8S2+ifefPPNjBkzJr7snNugv1T37nD66fDAA3DqqZnVEJf6\nSJ8iIpIZJVgiBaiqaiI1NQuSzIGVnzvjK1euZMSIEXl5LykvyfoXXnnl/fz3f6+joqK5v+FZZ93B\ntGmjN+iHmGp9rH9iqoEsUtUKNzU1P8+khriiYqCaA4qISAtqIihSgGJ3xqPRkcyaVUk0OjJvA1y8\n++677LvvvgwePDjn7yXlJ1n/wjFj1vH0083LI0Ys5oorTk3aDzHV+rq68S2SqxdeeKHFKIGxWuGg\nxkbo1Kn5eT5riEVEpHSpBkukQIVxZ3z+/PmceOKJTJgwgXPOOYepU6fm9f2l9LVVkxRb7tLly6T7\nJVt/5JEAM+LLyYbLTlYrPH06/Pzn+a8hFhGR0qYES6RA5XserD/+8Y/U1NRw3333UVlZmbP3kfKW\nqn9hp04tl9et601j45cb7Je4PvFUTTUXUWJ/qfXre7DFFsY//vGV+k6JiEhWtTnRsJl1BZ4BNsZL\nyB5yztUm2U+T7IlkSbJ+KrmarHTdunVccMEF/O1vf2P27NktmgZqkk/JtmTn9k03dWnRB2vmzEFJ\n+1oF1x900GLOPLP5uPX17ylBKkGKQSISpkxjUJsJln/wTZxzq82sM/A8MMY590LCPgouIlmSOOIZ\neBeY0ejIrDYb/OKLL/jlL39Jly5dmDlzJr169WqxXRc3kgvNtbPeyHvNowh6yxuOFthyfeJAFsmS\nq3zXAEtuKAaJSJgyjUFpNRF0zq32n3b1X6MoIpJD+ZgH6+233+boo4/mqKOOYtKkSXTpohbDkh/J\n+hcecMBBae0XTK7OPfdcbrnllg1el6yWLDjSoIiISC6lNYqgmXUys1eBj4C5zrkXc1sskfKWasSz\nbI1yNnfuXA488EDGjRvHDTfcoORKCt6QIUNaJFfOuaTJFSQfqTA20qCIiEiupVuD1QQMMbOewF/M\nbFfn3FuJ+02YMCH+PBKJEIlEslRMkfKSq3mwYhelv/vd73jwwQc56KCWtQbRaJRoNNqh9xDpiGRN\n+wYO3L7FPm01xcpHDbCIiEgqafXBavECs/HAN865GxLWq/2xSBal6n+SqbVr1zJmzBieffZZZs+e\nzcCBbR9L/R8knxKb9n3zDfz0p83bv/jiC3r37t3mcfLVh1FyTzFIRMKUs0EuzGwrYK1zbqWZdQee\nAK52zs1J2E/BRaRAffbZZ5xwwglsuummzJgxg549e6b1Ol3cSD4FE6N0h19PJp+jcEpuKQaJSJhy\nOcjFtsCfzKwTXp+t+xOTKxHJrmyOgLZw4UKOPvpofv7zn/P73/+ezp07Z7m0Ih0TO9/feOMxVqyA\nO+9suf200/Zt1/ES57zSPFciIpJP7W4imPJAunsjkhXZvPv+17/+lVNOOYVJkyZx2mmntbssunss\nuRY83+fPh2uvbd42f753/t9yy2ZMnfq6EqQypBgkImHK6TxYaRZAwUUkC7LRf8Q5x5QpU5g0aRIP\nPvgg+++/f0Zl0cVNeetITWq6r42d70ce2XL9/PnNz9t7/msOrNKhGCQiYcrpPFgikj8dHQHtu+++\n47zzzuOFF17gH//4BwMGDMhBKaXUdWQuqfa8ds2aZS2Sq8pKuPzylsdrz/mvObBERCRsac2DJSL5\n05E5sD755BMOPfRQPv30U55//nklV5Kxjswlle5rzYybborGl+fPhwED6NAccJoDS0REwqYES6TA\nVFVNZObMQfGLzFgfrKqq1ufAevPNN9lnn3044IADePjhh9lss83yUFopVR2pSU3ntcFJgwHm+EMn\nDRsGN93Upd3nfzbKLSIikg1qIihSYDIZAe2xxx5j9OjRTJ48mZEjR+axtFKqYjWpiX0B06lJau21\nS5YsoX///vH1l1xyEj/72a+YPfvW+Pl+2WVnt1huzwiAHSm3iIhINmiQC5Ei5pzjuuuu48Ybb+Th\nhx9m333bN5x1W9TBvHx1ZDTLVK+9667FLfaLjRKYzTmqNAdWaVEMEpEwaRRBkRKR7gho3377Lb/6\n1a94/fXXeeSRR+jXr1/Wy6KLm/LWfC56NUmZjSLovXbSpBnxbdtsA/fd17xve0cJzGW5pbAoBolI\nmJRgiZSAdO++P/XUUxx66KH84he/4E9/+hObbrppTsqjixvpqAEDBvDBBx/El8eMiXDccdEN9ps1\nq5IpU+blsWRSDBSDRCRMmcYgDXIhUkDSGQHtkksu4dBDDwXggQceyFlyJdJRZtYiuXLOdWiUTBER\nkWKgBEukgLQ1Atrmm2/OddddB3gXq506FfdP2MyOMLNFZva2mVW3st8vzKzJzIbms3zloKGhnurq\nUYwdW0l19SgaGuo7fEznXItRAt977z1id/czHSVTRESkWGgUQZECkmoEtK5dt41fsI4ePZrbb789\npBJmj5l1AqYChwDLgRfN7BHn3KKE/TYDxgAL8l/K0paLSXkTh19PbDYVGyXz6qsv4J13FtC9u6Oi\nYreMP4OIiEihKe7b3yIlJtnd/enTB3DttfcCMGvWrJJIrnw/Bt5xzr3vnFsLzASOSbLfROBq4Nt8\nFq4cZHNS3oaG+jaTq6DGxje5+OKPufjiFRx11KPU1AzPSu2ZiIhI2JRgiRSQ2N39aHQks2ZVcscd\nER588H0AlixZwrHHHhtyCbOqD7AksLzUXxdnZkOAvs65x/NZsFKTqhlgtiblnTx5MgMHbh9fnjMH\nTjllUMqEKZuJnYiISKFRE0GRAlNRMZBrrrmH888/n4ceugWAdevW0blz55BLll/mVYfcAJwaXJ1q\n/wkTJsSfRyIRIpFIropWVFprBpiNSXkTa63mz/f+jSVMyYZez1ZiJ6UnGo0SjUbDLoaISIcowRIp\nMA0N9QwePJj165vo1KkTixe/W6rJ1TKgf2C5r78upgewGxD1k61tgEfM7GfOuVcSDxZMsKRZa7VF\nVVUTqalZkGRagPQGnAgmV6NHw8knN29rLWHKRmInpSnx5khtbW14hfGZWV/gLuD7QBMwzTl3U7il\nEpFCpiaCIgVk8eJ3GThwe9avb+KYY+Cxx5pKuW/Ki8BgMxtgZhsDI4BHYxudc18557Z2zm3vnBuI\nN8jF0cmSK0mttdqixCap0ejItAa4MLMWydW4cSM5/viW+7SWMGkkQSky64ALnXO7AfsB55nZziGX\nSUQKmCYaFikQS5cupV+/fgBcfTXss4+3vrERotGRSZta5VquJ/k0syOAKXg3e253zl1tZrXAi865\nxxL2nQdcnCzBUvxpqaGhnrq68axZs4yFCxu44IKGDWqLMj2nEpsE1te/x3XX/S9vv/0k3//+Go46\nCnr1Sj5BdvIyLqdbt+2oqpqY8ciFUroKcaJhM/sLcLNz7qnAOsUgkRKUaQxSgiVSAB555JH4ABYP\nPwxbbNFy+6xZlUyZMi/v5SrEi5tkFH+aJfa5amiA++/vwpgx6xKaAbZvKPYvv/ySzTffPL68bt06\nliz5YIP+Xbfc0p2+fQ/j17+erIRJOqzQYpCZVQBR4AfOuVWB9YpBIiUo0xikPlgiITvjjDO44447\nALjkkpPo3v3eFtvVN0XaI7HPVUUF/Pd/r2Py5Ap22WUg3bptR21t+2qLUg2/nqx/13nnNRKNbqbk\nSkqOPyffQ8DYYHIVo4F2RIpftgbaUYIlEqLYhWvv3r354osv/NqHf2Y86IAUnmBzvW7d+uS8KVyy\nPlcVFbDLLgMzqgUNJlfdunWjMdZxKsV7ZTIaYL6/I5H2MrMueMnV3c65R5Lto4F2RIpftgbaUYIl\nEoJ169ax0UYbAXDRRRdx3XXXAc3zYAX7prS3tkEKR2tDpOfq/7S1Efrak8iccsop3H333fHlZM2f\nvv22F7ffDp06eY/DD/f6X7WnxjWM70gkA3cAbznnpoRdEBEpfOqDJZJnDQ0NDBzoXTg+9dRTHHzw\nwSGXKLVC6/+QSqHGn+rqUUQiM7I2wEQ6kiUsM2cO4qyz7mDatNFJakc3TGRSNQlMfJ/LLoswatQH\n8eNNnw7r1/fj+uufTjs5CuM7kuJRCDHIzPYHngHeAJz/+I1z7q+BfQoyBolIx2QagzRMu0gePfDA\nA/HkasWKFRskVw0N9VRXj2Ls2Eqqq0eV6vDsZSOMCXVTDb0+e/atKefDCgomV2+++WbS5Aq8/lex\n5Cp2vNNPh223HdKumidNOiyFzjn3vHOus3NuT+fcEOfc0GByJSKSSE0ERfLkxBNPZObMmQA0NTVt\nUEugplKlJ6wJdSsqBm5Q+9NWIpNOrVU6x+vc+et2lVWTDouISKlRDZZIHpgZM2fOpG/fvjjnNriY\nheQjsiWrYZDiUUgT6sYSmaBYItPe5Kqt47VHIX1HIiIi2aAESySHvvvuu/jF629/+1uWLFmScl81\nlSo9qZrrhVEjmSyRufnmPkyaNCO+j3MureQq1fEySYwK6TsSERHJBg1yIZIj7777LjvssAMAzzzz\nDAceeGCr+xdiZ/9C6GCejlKOP9kcwrz5WMu56ab5LbZl8v0Fj9et23YaXl2yTjFIRMKUaQxSgiWS\nA3fffTennHIKAJ999hlbbLFFm69JNfpbmHfzdXETrlycEw0N9QwcuH18+X//dyyTJ9+YrSKLZJVi\nkIiESQmWSIE45phjePTRR4Hkg1m0ptBqBHRxE65s12pus802fPzxx/HlOXPCT+JFWqMYJCJhyjQG\naRRBkSyKJVM77bQTixYtavfrk43+JuUrW/3yEmutAOb7LQRjA6mke95ls8miiIhIKVKCJZIFa9as\nobt/JXzllVfym9/8JqPj6OJVgrIxhPk777zNjjvuFF9+8knYaKPm7e1J2DSVgIiISNs0iqBIBy1c\nuDCeXC1YsKBDyVVNzXAikRkcd1yUSGQGNTXDNdlwGevoSH1m1iK5Ou00WLeu5T7tSdg0lYCIiEjb\n2kywzKyvmc0zs3+b2RtmNiYfBRMpBrfddhu77rorACtXrmSfffbJ+Fi6eJVEwSHM77tvXyZPrqBT\np62oqxvfZuId7Ps3ZIjXJPDww+HOO8k4YdNUAiIiIm1LpwZrHXChc243YD/gPDPbObfFEil8w4cP\n56yzzgK8wSx69uzZoePp4lWSqagYSFXVRNas+YQLLmjg1FP/2Wrt5kMPPdQiuRo3biRXXuk932Yb\nOO44uPdeuO6677d7zqlsTS4sIiJSytrsg+Wc+wj4yH++yswWAn2A9vfgFykRsQvYoUOH8vLLL2fl\nmNnobyPFoz397Vqr3QwOTpE4YqVzzm96uiD++l69oFOnQUyd2v5+U1VVE1scq3nY+PZNLiwiIlLK\n2tUHy8wqgD2Bf+aiMCKFbvXq1fGL2Ouuuy5ryRV0vL+NFI/29rdLp3YzmFz95z//iU8cHGxmOGtW\nZbtrrYKyeSwREZFSlfY8WGa2GRAFJjrnHkmy3dXU1MSXI5EIkUgkO6UUKQBvvPEGe+yxBwAvv/wy\nQ4cOzfp7hD0PVjQaJRqNxpdra2s1B00OtHd+q9b2nzRpRot9W/seNEqlFBvNgyUiYcrpRMNm1gV4\nDHjcOTclxT4KLlKypk6dyv/8z/8A8PXXX7PZZpuFXKL80MVNbowdW8lxx0U3WD9rViVTpszbYH3i\n8OgNDXDHHZvx7LOrWuzXVnKVOMS6JhmWQqcYJCJhyvVEw3cAb6VKrkRK2f7778/f//53oPUL2I5S\n7UL5aG9/u1jTvLq68axYsZhly95okVwNH96NHXc8jIaG+g734xIREZGOabMGy8z2B54B3gCc//iN\nc+6vCfvp7o2UnFi/lgMOOIBnn302Z+9TqLULunucGx35/04cyGLOHNI6RntrzUQKgWKQiIQp0xjU\n5iAXzrnnnXOdnXN7OueGOOeGJiZXIqVm1apV8QvZqVOn5jS5As2BVW4yHSwimFztvHNzcgVtnzMa\nYl1ERCQ/0m0iKFI2XnnlFfbaay8AXn/9dXbfffecv6fmwCo/FRUD026ad+ONN3LBBRfEl0eN8v5t\nzzmT7hDraqoqIiLSMUqwRAKuu+46LrnkEgC++eYbNtlkk7y8r+bAklQSmwTW17/H2WfvSp8+a5Ke\nM2+++W+qq0fFh/cPJktnnXUHs2ffGh+lsra2ZfKUrOliTc2CDjVVVcImIiLlJu1h2ts8kNofS5Hb\nc889ee2114DcDmaRjPpgdUwpxh/nHJ06NbfibmxspFu3bgCcf/4x7L33ozz+OJx2WnMfrOnT4ec/\n9yYTvuee/qxZ4zjzzCVpn1PtHT6+LYV6XkvxUAwSkTDldJj2NAug4CJFKXghe9hhh/HEE0+EUo6w\n58BKJtcXN2Z2BHAjXn/Q251z1yRsvwA4E1gLfAKMds4tSXKckoo/yWqtgrVARx99NtOmjaaycjFP\nPw1Ll8I228BRR3n/gpfM3HsvnHFG83HaSpayPRBGthM2KT9KsEQkTLkepl2kJK1cuZLevXsDcNtt\nt3FG8Go0z9rTJ6cUmFknYCpwCLAceNHMHnHOLQrs9gqwl3NujZmdA1wLjMh/afMnmFyde+65XHLJ\nxRvUAk2btiDe3K9nz+V07fpvzjhjRYvjdO8OnRKGMWqrX186TVXb0+RPfQtFRKQcKcGSsrVgwQL2\n228/ABYuXMjOO+8cWlnKtJ/Kj4F3nHPvA5jZTOAYIJ5gOeeeDuy/ABiZ1xLmUXBwFWhuplpdPSrp\nCJOzZ98aT8irq0fR2LhhTVFTU8v3aKtfX1sDYbS3j5b6FoqISDlqc5h2kVL0u9/9Lp5crVmzJvTk\nqqZmOJHIDI47LkokMoOamuE0NNSHVqY86QMEm/st9delcgbweE5LFBIzS5pcQXq1QFVVE5k5c1B8\nGPbGRq8P1urV/VqsmzlzUHzwi2TaGj6+vdMJJCtXW2UQEREpdqrBkrKzww478O677wL5H8wimdYu\nWsupyWBrzGwUsBcwLNU+EyZMiD+PRCJEIpGclysbgk0CFy1axE477dRiezq1QLHEKNiH78org6MI\nJh81MJnWmqq2t8lfsnKlUwYpX9FolGg0GnYxREQ6RAmWlI3gYBbHHnsss2bNCrlEnjLup7IM6B9Y\n7uuva8HMDgUuBQ5yzq1NdbBgglUMzj77bKZNmxZfTpXspzt/VarEKHFdR5qjZtLkr9z6FkrHJN4c\nqTyRcboAACAASURBVK2tDa8wIlKW1q1bx0svvcTcuXMzPoYSLCkLn3/+OVtuuSUAd999N6NiM7UW\ngDLup/IiMNjMBgAf4g1ecWJwBzMbAvwBONw591n+i+jJdh+5YK3V4MGDeeedd1Lum81aoI7Oc5Vu\nsiciIlJM6uvrmTt3Lk8++STz5s2jb9++DB8+POPjaZh2KXnPPPMMw4Z5LcveffddBg0aFHKJWirk\nuYLyNEz7FJqHab/azGqBF51zj5nZXOAHeAmYAe87545NcpycxZ9s/v+sWrWKHj16xJfzHTOzMWx6\nIU4nIKVLw7SLSC6sXLmS+fPnx5Oqr776isMOO4zhw4dz6KGHst123k1uzYMlksRvf/tbrrzySgC+\n/fZbNt5445BLlFyhXrTq4iZ7czklzm0VRrzM9jxXIrmmGCQi2bBu3TpefPHFeEL12muvsd9++8WT\nqt133z3ejSRI82CJJOjTpw/Ll3v9mAr9D5/6qRSubPSRCyZXDz30EL/4xS+yVbx2KePmqCIiUmbe\ne+89nnzySebOncu8efPo378/hx12GJdffjkHHngg3RP/uGeRhmmXkuOcw8xYvnw5J510UsEnV+DV\nYFVXj2Ls2Eqqq0eVwxDtRSOWlASlm5TMmTOnRXLlnAstuQINmy4iIqXr8ccfx8zij//6r//i73//\nO8ceeyxvvfUWr732Gtdeey2HHXZYTpMrUBNBKTGffPIJW2+9NQAPPPAAJ5xwQsglals598HKlkLs\ng1UITQKTKdTmqCLJKAaJSCrBAcwS/fWvf+Wwww7b4G9xe6kPlpS9v/3tb/ERXxoaGhgwYEDIJUpP\ntvr45IIubjztSUqC0wEAfPPNN2yyySY5K5tIKVMMEpGgE044gYceeijptn//+9/suuuuWX0/9cGS\nsnbxxRdz/fXXA7B27Vq6dCmeU7uM58EqGun2kRs2bBjPPPNMfFkXXCIiIpl79NFHOeaYY5Juu+66\n67jooovyXKL0FM9VqEgKvXv3ZuXKlUBxXtBq4IHC0NG5roLNEC699FKuuuqqXBRTRESkZC1dupR+\n/fol3VZRUcE777xTFDfR1URQilZTUxOdO3cG4IwzzuC2224LuUSZUR+sjuto/En1f3DWWXcwe/at\nrSZdy5Yto2/fvvFlxUGR7CmXGCRSrhKb1SdatGgRO+20Ux5L1JL6YElZ+fDDD+OTwP3lL39JWX1c\nLAp14IFyubhJ1Q/u97/fjEsvXZUy8S3UgSxESkUhxCAzux34KfCxc26PFPvoGkgkTWPGjOHmm29O\num3YsGFEo9H8FqgVSrCkbMyZM4ejjjoK8KqS+/TpE3KJSlchXNyko6PxJ9UEvLffDmec0bwcHHwk\nmFwtWbKkRS2WiGRHIcQgMzsAWAXcpQRLpP1ee+019txzz5Tbv/vuOzbaaKM8lih9GuRCysK5555L\nXV0d4M3KHWsiWMw62vdHOi5VP7jEZt7du8Mbb/xrg7mtRKR0OeeeM7PiGJZWpAC01exv3rx5VFZW\n5rFE+aeJhqVodOnShbq6Orp27YpzrmSSq5qa4UQiMzjuuCiRyAxqaoZrouE8SzYB7y23bMawYS33\nq6yExx//NwBnn322kisRERHg8MMPj0/wm5hcbbnlljjn4o9ST65ANVhSBNavXx8fMeb8889P2W63\nGNXVjY8PrABeDcmIEYupqxsf+hxY5aZHj9245ZavaWw0dthhX3796wuZNm00I0YsZuON4dBDm/dt\namrq8OSFIlJaJkyYEH8eiUSIRCKhlUUk11566SV+9KMfpdxeyM3+WhONRrPSB0x9sKSgLVmyhP79\n+wPw+OOPc8QRR4RcouxK1fdn1qxKpkyZl/8CJSiE/g/p6Ej8aW0UR4ARI37KP//5Vnx/xTmR/CmU\nGOQ3EZytPlhSrtpq9vfYY4/F+8eXEvXBkpIza9Ysfv7znwPeqIHbbLNNyCXKPs2BFb7WahEnTZoR\n3++VV15hyJAhIZVSREJm/kOkbPTt25dly5al3LZkyZJWXx/sY/7tt73o0sXRufNXSfubx/ZdseJd\nli37mIEDt6F370FF2y9dNVhSkE4//XTuvPNOwGsi2Npdk2JWyHNgQeHcPW5LR+JPslrETz+FE05o\nXlZsEwlHIcQgM7sXiABbAh8DNc656Qn76BpIit68efM45JBDUm5fu3Zt2pP8Bq9vVq6EP/8ZTj+d\npNc6DQ31XHZZhOHDP+Dxx+G005LvFwYN0y4lI9a3Zcstt+TTTz8NuTS5V6hzYEFhXNykoyPxJ3EO\nrHPPhYULveeXXnopV111VZZKKSLtVQ4xSCQsTU1NrQ4Y9vDDD8dbErVX8G/rn/4Ev/zlhq11YtOe\nnH/+MRx11KM88EDr+4VBTQSl6K1du5aNN94YgEsuuYRJkyaFXKL8qKgYqAEtQlRVNZGamgWMGLGY\nI49sXr9o0UJ22mnn8AomIiKSZW0N0JStGwVr1iyLJ0pNTS2TJvCW16xZDkBDwwK6d297v2KiBEsK\nQn19Pdtvvz0ATz31FAcffHDIJcoPzYEVvoqKgZx33gz22WdfALbaqhcvvviq/h9ERKQoBa8tFi78\nhrlzX0y579q1a1m6dEl8/+rqUVm5Fgn2Me/UiVb7mzc2eo+29ismaiIoobv//vsZMWIEAJ988glb\nbbVVyCXKj0LvfwXl0TznD3/4A1VVVQAsX76cbbfdNptFE5EOKIcYJJJN7777DjvssGPK7dOmTePM\nM8+ML+fqWqQ9fbDOOedYPv/8EY48kg73wcr2jWv1wZKiNGLECO6//36g/OYWSuz7A+G3NU5Uyhc3\n69ato0+fPqxYsYLjjz+eBx98MEelE5FMlXIMEmmvVMlDW9dOc+akvrZI51ok06Ql2Mf82297+qMI\nfr1Bf/OGhnouumgYm2yyhNWrYcUK2Hjjruyyy+FcfPGN7Uqusp0s5qwPlpndDvwU+DjV/A8imYgF\nhP79+/P++++HXJr8C7ZPjinWtsbF5tVXX2Xo0KEAPP300xx00EEZHUdNPEVEJB+CycOUKfDEE7SY\nSiTob3+DxLEr3njj/yVt/tfWtUiypKWmZkFaSUu6fcwrKgZy/fVPx5OxwYMzG/Dr6qsvoKlpMTNn\nes0NDz+8edqVfN+4TqcP1nTgZuCuHJdFysR3331H165dAbj88supra0NuUTh0BxY4Tj33HOp+//t\n3X10VNW5+PHvA1ESRUBRQpGXIPju/VnFRdVqDUUMyE8xZYkKKCgKIhZlFQXxBSkrFShXgULx+gLI\njZhSFylyrVYUBuVX4ApKUZtWjBkkaPAFQZEECezfH2dmMpM5M3OSzMw5kzyftbKYyZyceU6Y7D3P\n7L2fvXgxANXV1WRnZzfqPE3pdJRSSimnH9IdPnyYnj2tderLbd6N3333OA4depObby5n5Ur48cfo\n9xa5ufvJz38xqp9K9F4k3l6RyUxamlrwy++voLLyb0yYUDe9cNkyKCx054PrhJsLGWM2At+mIRbV\nAuzcuTOUXL3zzjstNrkCq3pdSUkvqqut+8Gh7PHjZ7obWDN14MABRITFixdTVFSEMabRyRXE73SU\nUkopv7+CKVNGct99/ZgyZSR+f0XEY9OnDyA//0UKC32B5GdA6BgRCX3Z9VXr11tT/wYPzsGYqlB/\nVFBgJRbh7y2WLbO+n5MD/fqVM3bsL0MxXXfd2LjvRTJlts3ixY8yYUJNRJ88ejS8+qo7H1xrFUGV\nNsuXL2fUqFEA7Nu3j5NPPtnliNyVl9eTGTPWRuyBNWOGTjFLhVWrVjF06FAAysvLQxUrmyJWp7N/\nf3mTz62UUiqzJZrlUP9DuieegHfeKWf5cvv+afLkW6iqeonhw4lIIiZMqGbu3E2h73XuDFdcYZ0v\n6MYbre9XVVlFJCZN8pOT46e6Gp59djN33bWENWuesX0vkimzbWL1yXv3ZjNzZvo/uNYES6XF9ddf\nz5o1a4CWV8wiHt0DK7WMMfTt25etW7fSt29fNm/enLTXXqxOp6zsQ/z+Ck2UlVKqBUs0te777z+L\n2Huxvvob3fv9FYwdW8qBAzWsXGntGRVcZ5STI6H+qKoKNm6Ehx6KnCp32mnWuq1ghb7wmNaseSbm\ne5HwvSIjC0d4a7ZNrD75rLOucaU/dlRFUER6AGviFbkQETN9+vTQ/fz8fPLz85MRo8pwwTe055xz\nDmVlZS5H4y1eK5Lg8/nw+Xyh+zNmzMjYCl7l5eX07t0baNpu9LH4/RXce+//YcKEgxGd2KBBUFbm\nnUqQSmUyrSKovCpR/33fff0oLPRF/Ey/fvHPOXIknHjiEJ5++i+2j99229XU1LwVUe586VKAy6mq\n2kGPHgfZtasuuQqqroaVK6G2FsaMiT5vaWk/5s9f5+BaP4+qAOgVqSo3n7IqgsHzB77ievzxxxv6\n/KoZq6mpISfwF15UVMS0adNcjshbvFgkof4HI6leIyciA4F5WOtBnzfGzK73+PFYBXb6AF8DNxlj\nPkt03qKiIh555BEA9u/fT/v27ZMdOnl5PTnttPNZuXJL6JPEwkJrGsb773trbrpSSqnkcdJ/Hz3a\njhtvhK+/jn2ewsKuZGVVRiRMxcXvx5wF0a7didxyS+QI1O23w29/u53HHjtETg48/zy2U+V277aK\nXzRmul8mzLbx2rKLhEUuRGQF8HfgLBH5TERuT31YKtOVlZWFkqstW7ZocmWjpRdJEJFWwEKgADgf\nuEVEzql32BhgnzHmTKxEbE68c9bU1CAiPPLII4wfPx5jTEqSq6BOnXozbJjVwY0aZSVXXpybrpRS\nKnli9d/z5k0JFaZYtOiVqOTqzDNh3LghGGMwxtCly8Wh5Cp4npEjP4v5PqB16+9sk6fevQ+Fvn/k\nSF2Bi6Dqaiu5uuee6AIYzam4VjARnD9/HbNnF7s6ypZwBMsYMzwdgajm45lnnmHcuHGAVbmtXbt2\nLkfkTZlSmSeF+gI7jTG7AESkBBgC/CvsmCFAcO7xy1gJma0NGzaERt/ee+89LrroohSEHClT5qYr\npZRKnvD+O3LaX/SG9aNHR66X2rTpu9BjsRKmWO8DYq0z2rXLmip4+LC1Se/SpUSMij33nLUGq3Nn\na6bFihXw7be5nH/+1VpcK0W0yIVKqquvvpq33noLsAoMqNgypTJPCp0O7A67X4mVdNkeY4w5KiL7\nReQUY8y++ifLz8+nU6dO7Nmzh6ys9DRtXpuSoJRSKrH666euu25soIpe5Hoqu3VWZ511NkeOHGHB\nAvtzBwt5TZkykvz8FyP6eL8fysoquO++fhw92o6PPvqEgQOdvw+w+1Bv3jzhjjsMeXl1a7KuvJJQ\nIYzgV9u21jnat4dWrXqxcKHu2ZhKjopcODqRLvBs8YLFLPr06cPWrVtdjsb7UrUgM5lSucBcRIYC\nBcaYsYH7I4G+xpiJYcd8EDjm88D9TwLH7Kt3LjN48GAuueQSQIvsKJWpmlOhHeVNdn3vggVZ3HRT\nbShJKSnpxV13LeHZZ+9g0KBybrkl9vmGD7eKUxQXd6eoyBfqv+s/j98Pf/pTFhMn1oaed+FCyM6G\nO+/E8fuA8IITZWUVDB/uJy+v7vFgQYvArjgAFBW1oVevgbRp851ni1R4VWPfB2mCpZrshx9+oG3g\no5Enn3ySSZMmuRxR5vB6ZZ4UJ1iXAo8bYwYG7k8FTHihCxF5LXDMFhFpDXxhjOlkcy5tf5RqhrSK\noEo2u5Gl8KSkqoq4CRVYG/weOGCVPQ+OENWv/uf3VzBr1iR27txETo5w6FAWDzywJ+p5lyyxRpdq\na2Hv3jyeeWad4/cBdpUKoW6KYPA5Xn31ehYuXO3onCpSqqsIKmVrx44dXHjhhUD61r00J5lQmSeF\n3gV6B7aB+AK4Gajfra0BRgFbgBuB2HVklVJKqQTs1j8H96Natsz+Z156yVq/BDBnTgdycvaTkxM5\nSlRaWre2ym6U7Kmnsm3XW51wQt15Skt7NuhD1lhLDY4dq7ttjYjNc3xOlRyaYKlG+8Mf/sDEidZs\nroMHD3LiiSe6HFFm8doeWOkWWFN1L/AGdWXay0RkBvCuMeZ/gOeB/xaRncA3WEmYUkqpFqAp/WSs\nn83OPh2/v26Ex05eHvzxj5Eb9RYWWuuXams7UF29P+a6KWtD4F+Sm+tn5UqrsEXnzpCbW2ObDLVq\nFX0Op+zWZBUXd+ekky6itPQ7XRfsIp0iqBrlsssuY/PmzYAWs2iMTFh/BTo9RynlLm2DWq6m9JN2\nPxscpYpl/Xrr3xdegGHDohOhFSus4hDBtVl2cQFRzxtMzgCKi3OYMKE6YpPgX/3KStwa+x7A60sN\nMp2uwVJpEyxmceWVV/L222+7HE1mijUH3Ocb4akpg/rmRinlJm2Dmrd4I1RN6SenTBnJnDkvxj3m\nhhvgm2+sEaSePetGmsLXL4WbOzeXhQs31asuGJnUxFvfNWwYrF49hPbt21JT8zlHj55Eba1o4QmP\n0zVYKuW+//770J5WixYt4p577nE5osyle2AppZRqKewSKYge7Zk+fXNoFKeh/eSbb65lwIBrYsZQ\nWAjduvUjO7sL5577Iq+9Bg89FD0NsFUrbKfynX/+1aEEKNb66Vgx19YGR6ie0iSqhdAESzmybdu2\nUAnsDz74gAsuuMDliDKb7oGllFKquQpPqA4fbs/337/PyJGfRSRSOTkXhJIrsPrDm28uZ/HiR5k9\nu9hRPxmcURNLcNpf8Gd9vi7U1OxhwwZrA+Dw5x492hppuuoqa2+p++83Dd5APlbMVnVAby0BUKnV\nyu0AlPfNnTs3lFwdOnRIk6skGD9+JiUlvaiutu4HG/Dgp3pKKaVUU/n9FUyZMpL77uvHlCkj8fsr\n0vKc06cPID//RQoLffzww+pQcgV1idQ//7kx7giVXT957bUwZ86LiIhtcjVsmFXx76WX4MYbse1j\ns7NPp7YW2+f+9NPj2Lx5CI8+6sPnG0FpaT98vhGO10bF6tsbUnpdNQ86gqXiuvDCC9mxYwegxSyS\nKS+vJzNmrI2Yw62VfpRSSiWLXaGH8Cl4qbJ48aMRI1OtWtknM61bf4vfT9QmucERqry8nowc+Ueu\nuaYg5nPddBPcfXfdFL9Bg6y9qUaNsopHzJ2bywUXnBfRx44fP5PbbltNdfXBqJGm7t2PUF39IV27\ndmvUemjt21WQFrlQtowxtArUDi0oKOD11193OSLlBl1grpRyk7ZBjZesYkoNLZVef/PbeFX5Pvoo\ni4kTa8nLqxvtWb68PG48FRWfMnbsL5k0yW9bTOLYMatIRbx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,4.3))\n", "\n", "plt.subplot(131)\n", "x0 = np.linspace(1,5,20)\n", "y0 = 0.1*x0\n", "x = np.linspace(5.04,5.4,25)\n", "y = 13*(x-5)\n", "\n", "xval = np.concatenate([x0,x])\n", "yval = np.concatenate([y0,y])\n", "rho, pval = stats.spearmanr(xval, yval)\n", "pearson = stats.pearsonr(xval, yval)\n", "\n", "m, b = np.polyfit(xval, yval, 1)\n", "rline_xval = np.concatenate([xval, [0,6]])\n", "plt.plot(xval, yval, 'yo', rline_xval, m*rline_xval + b, 'k-')\n", "title = \"Spearman coefficient = \" + str(rho) + \"\\nPearson coefficient = \" + str(\"%.2f\" % pearson[0])\n", "plt.title(title)\n", "plt.ylim(0,6)\n", "plt.xlim(0,6)\n", "\n", "plt.subplot(132)\n", "np.random.seed(3)\n", "x = np.random.uniform(0.05,0.95,75)\n", "noise = np.random.normal(0,0.1,75)\n", "y = x + noise\n", "rho, pval = stats.spearmanr(x, y)\n", "pearson = stats.pearsonr(x, y)\n", "m, b = np.polyfit(x, y, 1)\n", "rline_xval = np.concatenate([x, [0,1]])\n", "\n", "plt.plot(x, y, 'yo', rline_xval, m*rline_xval + b, 'k-')\n", "title = \"Spearman coefficient = \" + str(\"%.2f\" % rho) + \"\\nPearson coefficient = \" + str(\"%.2f\" % pearson[0])\n", "plt.title(title)\n", "plt.xlim(0,1)\n", "plt.ylim(-0.2,1.2)\n", "\n", "plt.subplot(133)\n", "np.random.seed(3)\n", "x = np.random.uniform(0.05,0.95,75)\n", "noise = np.random.normal(0,0.1,75)\n", "y = x + noise\n", "y[29] += 4\n", "\n", "rho, pval = stats.spearmanr(x, y)\n", "pearson = stats.pearsonr(x, y)\n", "m, b = np.polyfit(x, y, 1)\n", "rline_xval = np.concatenate([x, [0,1]])\n", "\n", "plt.plot(x, y, 'yo', rline_xval, m*rline_xval + b, 'k-')\n", "title = \"Spearman coefficient = \" + str(\"%.2f\" % rho) + \"\\nPearson coefficient = \" + str(\"%.2f\" % pearson[0])\n", "plt.title(title)\n", "plt.xlim(0,1)\n", "plt.ylim(-0.2,5.2)\n", "\n", "plt.tight_layout() #Reduce the overlap of labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.8 Left" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 1, 300)\n", "line = x*x\n", "plt.plot(x, line, 'r-', linewidth=2.0)\n", "plt.xlabel('Absolute value of Pearson correlation')\n", "plt.ylabel(r'$r^{2}$')\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.8 Right" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(0, 0.7)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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nNz/V+YABUFPTsBx7LBx6KHTt2v7z67srb7HHV/I1CZG0mYVnZBxySHgsK8D2\n7bB4cUgYzz0Xnsr3/PPw2msweXJYMvbaC448MgwCzCxHHRWuOlTnkEqnKwmpGDt2hPpGfX3jZfny\n5vfv2zckjPe/v/GiWoeUE3U3iXTQhg0wb164q2ru3Ib3W7Y0v3/fviFZHHEEDB0axnEMHRqmVO9I\nt5VIGpQkIhF7v2i5xecerjDmzQsjxBcsaFh2TR51QC177BHqG0OHhuXQQxuW/fYr366rcvvu2ir2\n+FSTEEmBWZj6fNAgOOechu3uYTLDBQtC8njhBfjHP2DNGnj11ZBU5s3b9Xi9ezckjCFDGmoohxwS\niunlmkAkfrqSEOkkW7eGYvmiReF1yZKGZfPm3D/XvXuYr+qQQ8LrQQc1Xrp3L1wMEh91N4mUOPcw\nP1UmYbz4YsPyz3/uOg1JU/37h2RRXR3qHk1flUSkJUoSkYi9XzTm+Doa26ZNDUnj5ZcbL0uXtv78\njf32a+gay14OPDAs/ftrHEhLYo9PNQmRMldV1TAqvKnt20MN5OWXYdmykDSyX5ctC1cpa9eG8SDN\n2W03GDgQDjggLAce2PB+4MCwDBgAu++eZpRSrnQlIVLGduwIAwSXLw9TsGeW5ctDAlm+fNep2Jtj\nFq44Mklj4MDwnI+my777qshebtTdJCItevvtcOfVihUhaWReM9tefTU8nzyf/7123z1cdbzvfQ2v\nmWXAgIalf//Sms69kilJRCL2ftGY44shtm3bwhVJJmmsWhW6uVauhHnz6nj77VpWrgz1k3xVVTVO\nGv37h9HqmffZ2/baK73YWhPD99cS1SREpMN2372h0N1UXV14tCzAW2+FZLJqVcOSWX/ttYZlzZqQ\nUDZtCrcEt6ZHj5AsMst++zW8Zi99+4bXYiaVSqMrCRHpdDt2hFt7M0lj9eqwrFnT8D6zrF0L777b\ntuPvvXdD0she9tsv1E369g2v2Uuldn+pu0lEypp7mOpkzZqwrF3b+H1zS2u3BTenR4+GhNGnT+ME\nklnv06fxss8+4e6wcqYkEYnY+0Vjji/m2KD04ssklfXrw8Om1q0LiSPzun59w2fZr9u35zpiHVCb\n83w9ezYkjMxr0/dVVQ3vM0vv3qWRYFSTEJGKYhZ+AffuHaYxyYd7mBplw4aGJLJ+fVh/7rmQCDZu\nDOvZy8aNYbqVrVvDLcVt1bNnQwKpqmp437t3w3rT95n13r1LY+yKriRERHLYsSMkl40bG5ZM8si8\nbtwYCvTnvo+KAAAKkUlEQVTZ+2zcGH6uo7+y9tqrcfLILL16Nb/eq9eu73v0UHeTiEjJ2bEjXIFk\nkkh2Itm8OSyZ7U3fZ9Z37OiMlihJRKHU+n07W8zxxRwbKL5icYc33micNLZsaVjfvLnx+tatDdsy\ny+bN8NZbJV6TMLORwHeBLsC97n5Hk89PTT4/BrjE3X+bdptEREqdWbgjq0ePME1KR47ToXak+de5\nmXUBFgNnACuBmcAod1+Utc8goBdwAzApV5KI/UpCRCQNpX5304nAEndfBmBmE4ELgJ1Jwt1fST5T\nBhARKTFdUj7+QGB51vqKZJs0UVdXV+wmpCrm+GKODRRfpSurcRKjR4+muroagKqqKmpqanYWnDJf\ndLmu19fXl1R7FJ/WtV6e63V1dUyYMAFg5+/Ljki7JjEC+Jq7j0zWxwLetHidfPZz4I+qSYiIdJ6O\n1iTS7m6aCQwxs8Fm1g0YBUxqYX89zkREpISkmiTcfTtwLTAFmA9MdPeFZjbezM4FMLPhZrYcuAi4\n28zmptmmUpW5XIxVzPHFHBsovkqXek3C3ScDQ5tsG5f1/lmgmVnsRUSk2DTiWkQkYqVekxARkTKm\nJFEiYu8XjTm+mGMDxVfplCRERCQn1SRERCKmmoSIiKRGSaJExN4vGnN8MccGiq/SKUmIiEhOqkmI\niERMNQkREUmNkkSJiL1fNOb4Yo4NFF+lU5IQEZGcVJMQEYmYahIiIpIaJYkSEXu/aMzxxRwbKL5K\npyQhIiI5qSYhIhIx1SRERCQ1ShIlIvZ+0Zjjizk2UHyVTklCRERyUk1CRCRiqkmIiEhqUk8SZjbS\nzBaZ2WIzG9PM593MbKKZLTGzf5jZoLTbVIpi7xeNOb6YYwPFV+lSTRJm1gX4AXA2cCRwqZkd3mS3\nzwAb3P1Q4LvA/0uzTaWqvr6+2E1IVczxxRwbKL5Kl/aVxInAEndf5u7bgInABU32uQC4L3n/G+CM\nlNtUkjZt2lTsJqQq5vhijg0UX6VLO0kMBJZnra9ItjW7j7tvBzaZWZ+U2yUiInkoxcJ1u6vw5Wzp\n0qXFbkKqYo4v5thA8VW6VG+BNbMRwNfcfWSyPhZwd78ja58/JfvMMLOuwCp379fMsXT/q4hIO3Tk\nFtjdOrMhzZgJDDGzwcAqYBRwaZN9/ghcCcwAPg78tbkDdSRIERFpn1SThLtvN7NrgSmErq173X2h\nmY0HZrr7o8C9wC/NbAmwnpBIRESkBJTNiGsRESm8Uixc76K1AXnlxsyWmtnzZjbbzJ5Jtu1jZlPM\n7AUze9zMehe7nfkys3vNbLWZzcnaljMeM/teMniy3sxqitPq/OWIb5yZrTCzWckyMuuzG5P4FprZ\nWcVpdf7M7AAz+6uZzTezuWZ2XbK97L/DZmL7YrI9iu/PzPYwsxnJ75K5ZjYu2V5tZtOT35m/NrPd\nku1tH7zs7iW9EBLZP4HBwO5APXB4sdvVwZheAvZpsu0O4CvJ+zHA7cVuZxviOQWoAea0Fg/wYeCx\n5P1JwPRit7+d8Y0DvtzMvkcAswldudXJv10rdgytxDcAqEne9wBeAA6P4TtsIbaYvr/uyWtXYHry\nnTwIfDzZ/iPg35L3VwN3Je8vASa2dvxyuJLIZ0BeuTF2vYrLHlR4H3BhQVvUAe7+d2Bjk81N47kg\na/svkp+bAfQ2s/6FaGd75YgPmr9d+wLC/3jvuftSYAnh33DJcvfX3L0+ef86sBA4gAi+wxyxZcZq\nxfL9vZm83YOQ3Bw4HXgk2Z79+6TNg5fLIUnkMyCv3DjwuJnNNLPPJtv6u/tqCP+wgV1uAy4z/ZrE\nk/kl0vT7fJXy/T6/kHS3/DSrK6as4zOzasJV03R2/TdZ1t9hVmwzkk1RfH9m1sXMZgOvAU8ALwKb\n3H1Hskv278w2D14uhyQRow+4+3DgHMI/1FMJiSNbbHcUxBbPXcAh7l5D+J/zW0VuT4eZWQ/CX5f/\nnvzVHc2/yWZii+b7c/cd7n4c4ervREJ3Wr5aHVpQDkniVSC7uHJAsq1sufuq5HUt8HvCF7s6c8lu\nZgOANcVrYafIFc+rwIFZ+5Xl9+nuaz3p2AV+QkOXRFnGlxQ2fwP80t3/kGyO4jtsLrbYvj8Ad98C\n1AH/AlQlE6xC4xh2xpcMXu7l7htaOm45JImdA/LMrBthHMWkIrep3cyse/JXDWa2N3AWMJcQ0+hk\ntyuBPzR7gNJlNP6rJDue0TTEMwm4AnaOyN+U6dIocY3iS35pZnwUmJe8nwSMSu4iOQgYAjxTsFa2\n38+ABe5+Z9a2WL7DXWKL5fszs76ZrjIz2ws4E1gAPEkYnAyNf59MStahhcHLjRS7Mp9n9X4k4a6E\nJcDYYreng7EcRLhDazYhOYxNtvcB/pzEOQWoKnZb2xDTA8BK4B3gFeBTwD654iFMH/9P4HlgWLHb\n3874fgHMSb7L3xP67zP735jEtxA4q9jtzyO+DwDbs/5dzkr+n8v5b7JcvsMWYovi+wOOTmKqT+L5\narL9IELtZTHhTqfdk+17AA8lv0unA9WtnUOD6UREJKdy6G4SEZEiUZIQEZGclCRERCQnJQkREclJ\nSUJERHJSkhARkZyUJCQ6ZvZVM5uXTMc+y8xOSPl8T5rZsA4e4zwz+0pntUmks6T9+FKRgkpGAJ9D\nmB76vWTysm5Fblar3P2PhEf5ipQUXUlIbN4HrHP39wDcfYOHGUwxs5uTB7TMMbO7Mz+QXAl8O5mV\nd76ZDTezR5KH7fx3ss/g5CE095vZAjN7yMz2bHpyMzvTzJ42s2fN7EEz697MPtcl56k3sweSbVea\n2feS97OTK6DZZvammZ2aTOdyb/IgmefM7LxU/uuJNKEkIbGZAgyy8CTDH5rZaVmffd/dT3L3Y4Du\nZvaRrM/ecfcTgHsI89xcTZjyYLSZ7ZPsMxT4gbu/H9gKXJN9YjPbF7gJOMPDLL/PAdc308YxhCud\nGuCqph+6+3HuPgy4mTB32dPAV4G/uPsI4EPAN5O5ekRSpSQhUXH3N4BhwOeBtcBEM7si+fiM5C/x\nOYSHshyZ9aOZSSPnAvPcfY27v0uYmz8zK+gr7j49eX8/4Yl12UYA7weeSub3v4LGMxhnPA88YGaX\nE+YV2oWZHQr8D+HpYtsJE0GOTY5bR+hCa/3RkyIdpJqERMfDhGTTgGlmNhe4wsweBH5ImIxuZfIs\n4OzuoneS1x1Z7yE8QyHX/ydNJz4zYIq7X95KEz8CnAacD3zVzI5qdJAwS/CDwGfcPXvK+I+5+5JW\nji3SqXQlIVExs8PMbEjWphpgGSEhOLA++SV8UTsOP8jMTkreXwb8rcnn04EPmNkhSVu6J1cE2e0z\nYJC7TwXGAr0Iz17O9jPgZ+7+dNa2x4Hrso5T0472i7SZriQkNj2A7ydz7L9HmPL58+6+2cx+AswH\nVtH4GQEtTYWc/dkLhCcJ/jw5zt3Z+7j7OjMbDfzazPZItt9EmJY5oytwv5n1Ilx53OnuW0LuADMb\nRHi+wRAz+0xyjM8CtwLfTbrKDHiZcCUikipNFS6SBzMbDDzq7kcXuy0ihaTuJpH86S8qqTi6khAR\nkZx0JSEiIjkpSYiISE5KEiIikpOShIiI5KQkISIiOSlJiIhITv8fORyT/xnorXcAAAAASUVORK5C\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(2, 300)\n", "line2 = 2/(x**0.5)\n", "plt.plot(x, line2, 'b-', linewidth=2.0)\n", "plt.grid()\n", "plt.xlabel('Sample size')\n", "plt.ylabel('Pearson correlation')\n", "plt.ylim(0,0.7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.9" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mean 0.479528699398\n", "var = 0.0560373928501\n", "Pearson = 0.940381276551\n", "var2 = 0.00648257678302\n", "Pearson2 = -4.54937719205e-16\n" ] }, { "data": { "image/png": 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oF2qS++PauOIPf5iXIDe9TTUyi1gMAPP5nkk+XtKDzrlJ59yLkm6UtLr0AOfcFufcc/mr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\nqrUjI7p65cqafQQbWrF8ww0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10,5))\n", "\n", "# Making Data Points\n", "np.random.seed(3)\n", "x = np.random.uniform(0.05,0.95,75)\n", "noise = np.random.normal(0,0.1,75)\n", "y = x + noise\n", "\n", "meany = sum(y)/len(y)\n", "y = [i-meany for i in y]\n", "rho, pval = stats.spearmanr(x, y)\n", "pearson = stats.pearsonr(x, y)\n", "\n", "print \"mean \", meany\n", "print \"var = \", np.var(y)\n", "print \"Pearson = \", pearson[0]\n", "\n", "# LEFT PLOT\n", "plt.subplot(121)\n", "plt.plot(x, y, 'ro')\n", "\n", "m, b = np.polyfit(x, y, 1)\n", "rline_xval = np.concatenate([x, [0,1]])\n", "plt.plot(rline_xval, m*rline_xval + b, 'r-', linewidth=1.2)\n", "\n", "title = \"Spearman coefficient = \" + str(rho) + \"\\nPearson coefficient = \" + str(pearson[0])\n", "#plt.title(title)\n", "plt.xlim(0,1)\n", "plt.ylim(-0.6,0.6)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "\n", "# RIGHT PLOT\n", "plt.subplot(122)\n", "regline = [m*i + b for i in x]\n", "k =[i - j for i,j in zip(y, regline)]\n", "plt.plot(x, k, 'ro')\n", "\n", "m, b = np.polyfit(x, k, 1)\n", "rline_xval = np.concatenate([x, [0,1]])\n", "plt.plot(rline_xval, m*rline_xval + b, 'r-', linewidth=1.2)\n", "\n", "plt.ylim(-0.6, 0.6)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y - f(x)\")\n", "\n", "plt.tight_layout()\n", "pearson = stats.pearsonr(x, k)\n", "print \"var2 = \", np.var(k)\n", "print \"Pearson2 = \", pearson[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.11 Left" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 7\n", "x = range(1,n*4+1,1) #1~28\n", "#0~27\n", "y = [7000, 6500, 6800, 5900, 7700, 11000, 9800, \\\n", " 6800, 5500, 7000, 6800, 8000, 12000, 10000, \\\n", " 6500, 7300, 7500, 8200, 7900, 11000, 9900, \\\n", " 5900, 6500, 6200, 8000, 8200, 12000, 12500]\n", "x2 = range(n+1, n*5+1, 1)#8~35\n", "y2 = [e+10000 for e in y]\n", "\n", "#Plot lines\n", "plt.plot(x,y2, 'r-', linewidth=2)\n", "plt.plot(x2, y, 'b-', linewidth=2)\n", "\n", "#Connect points 7~27\n", "for i in range(n,n*4, 1):\n", " #7~27\n", " #0~20\n", " plt.plot([i+1]*2, [y2[i], y[i-7]], 'k--', linewidth=0.5)\n", "\n", "#Set ticks\n", "axes = plt.gca().axes\n", "axes.get_yaxis().set_visible(False)\n", "xticks = ['M', 'T', 'W', 'R', 'F', 'S', 'S'] \n", "axes.get_xaxis().set_ticks(range(1, n*5+1, 1))\n", "axes.get_xaxis().set_ticklabels(xticks)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.11 Right" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ,\n", " ]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Ea2TRZoBbVa8BEJEFqnprnm05A1iqqvXBMR/CyoukNyu9CKgK1v+AiUukGDEC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\njeXyr1tnVW9vvz1XVhcfPjo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "totalsize = 28\n", "x_shift = range(0,21)\n", "y_corr = []\n", "for i in x_shift:\n", " y_corr.append(stats.pearsonr(y[:totalsize-i],y[i:])[0])\n", "\n", "plt.plot(x_shift,y_corr,'bo-', linewidth=2)\n", "plt.xlabel('Number of Days Shifted', size=13)\n", "plt.ylabel('Autocorrelation', size=13)\n", "plt.xlim(-0.5,22)\n", "\n", "#Set ticks\n", "axes = plt.gca().axes\n", "axes.get_xaxis().set_ticks(range(0, 22, 7))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.12 - 7UM917, 7UM918, 6K9P5, 6K9P5, 6K448." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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IGI7+LV+22jwqG5/0vNIyU1muJM3rIZ38mjRy3a3WiPOk2jp2SHpnlf1o19cH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\n5pw7VjbLhySdISnxOhMz65H0p5Kej5k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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#7UM918\n", "x1 = [-3, -1.3, -1, -0.95, -0.9, -0.88, -0.75, -0.65, -0.63, -0.6,-0.58,\\\n", " -0.45,-0.43, -0.35, -0.05, -0.03, 0, 0.03, 0.05, 0.2, 0.22, 0.24, 0.4, 1.1]\n", "y1 = [4]*24\n", "\n", "#7UM917\n", "x2 = [-1.2, -0.15, -0.05, -0.03, -0.01, 0.01, 0.03, 0.05, 0.07, \\\n", " 0.1, 0.15, 0.18, 0.2,0.25, 0.28, 0.3, 0.35, 0.38, 0.4, 0.5,\\\n", " 0.52, 0.7, 0.75, 0.77]\n", "y2 = [3]*24\n", " \n", "#6K9P5\n", "x3 = [-2.05, -0.5, -0.48, -0.45, -0.43, -0.4, -0.38, -0.35, -0.33,\\\n", " -0.3, -0.28, -0.25, -0.23, -0.2, -0.18, -0.15, -0.13, -0.1, \\\n", " -0.05, 0, 0.05, 0.15, 0.18, 0.3]\n", "y3 = [2]*24\n", "\n", "#6K448\n", "x4 = [-3, -1.1, -1, -0.9, -0.87, -0.85, -0.83, -0.8, -0.77, -0.75, \\\n", " -0.73, -0.7, -0.68, -0.65, -0.63, -0.6, -0.58, -0.55, -0.5, \\\n", " -0.3, -0.15, -0.05, 0, 0.1]\n", "y4 = [1]*24\n", "\n", "x = np.concatenate([x1, x2, x3, x4])\n", "y = np.concatenate([y1, y2, y3, y4])\n", "plt.figure(figsize=(16,6))\n", "plt.rc('ytick', labelsize=15)\n", "\n", "plt.subplot(122)\n", "plt.xlim(-3.5, 3.5)\n", "plt.ylim(0.5, 4.5)\n", "plt.plot(x, y, 'ro', markersize=10)\n", "plt.vlines(0,0,10)\n", "plt.yticks([1,2,3,4], ['6K448', '6K9P5', '7UM918', '7UM917'])\n", "plt.grid()\n", "\n", "plt.subplot(121)\n", "plt.xlim(-0.5, 14)\n", "plt.ylim(0.5, 4.5)\n", "x1 = np.power(10, x)\n", "plt.plot(x1, y, 'ro', markersize=10)\n", "plt.vlines(1,0,10)\n", "plt.yticks([1,2,3,4], ['6K448', '6K9P5', '7UM918', '7UM917'])\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2.13" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.99999999997\n" ] }, { "data": { "text/plain": [ "(0, 1000)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9bCIiItVk/fq679PWJs/HHOPL+PwNIpVUVCppZkPN7Doze9XM1pnZxCK22dPM/mBmM8xs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\n2rVw9dVJRyOllvqe5/nzYcAAL9koax1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,4.5))\n", "\n", "# Made from log scale to linear scale. (Right to left)\n", "\n", "# RIGHT PLOT\n", "plt.subplot(122)\n", "plt.title('Logarithmic scale')\n", "mean = 2 \n", "sigma = 0.301 \n", "x = np.linspace(0, 4, num=1000)\n", "y = stats.norm.pdf(x, mean, sigma)\n", "plt.plot(x, y, 'b-', linewidth=2.0)\n", "\n", "# Drawing line\n", "k = 2\n", "plt.vlines(k, 0, stats.norm.pdf(k, mean, sigma), color='red')\n", "k = mean + 0.675*sigma\n", "#plt.vlines(k, 0, stats.norm.pdf(k, mean, sigma), color='blue')\n", "k = mean - 0.675*sigma\n", "#plt.vlines(k, 0, stats.norm.pdf(k, mean, sigma), color='blue')\n", "\n", "# LEFT PLOT\n", "plt.subplot(121)\n", "plt.title('Linear scale')\n", "x1 = np.power(10, x)\n", "plt.plot(x1, y, 'b-', linewidth=2.0)\n", "\n", "# Drawing line\n", "k = 2\n", "plt.vlines(10**k, 0, stats.norm.pdf(k, mean, sigma), color='red')\n", "k = mean + 0.675*sigma\n", "#plt.vlines(10**k, 0, stats.norm.pdf(k, mean, sigma), color='blue')\n", "k = mean - 0.675*sigma\n", "#plt.vlines(10**k, 0, stats.norm.pdf(k, mean, sigma), color='blue')\n", "\n", "# For verification,\n", "area = np.trapz(y, x)\n", "print area\n", "\n", "plt.xlim(0,1000)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }