heritability.ipynb

{
 "cells": [
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "import numpy as np\nimport scipy as sp\nimport pandas as pd\nimport statsmodels as sm\nimport matplotlib.pyplot as plt",
   "execution_count": 1,
   "outputs": []
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "%matplotlib inline\n%config InlineBackend.figure_format = 'retina'\nimport seaborn as sns\nsns.set_style(\"white\")\nsns.set_context(\"talk\", font_scale=1.2)",
   "execution_count": 2,
   "outputs": []
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "loc = 50\nscale = 15",
   "execution_count": 3,
   "outputs": []
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "parent_heights = sp.random.normal(loc=loc, scale=scale, size=5000)\nselected_parents = [x for x in parent_heights if x > 55]\nlen(selected_parents)",
   "execution_count": 4,
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "1872"
     },
     "metadata": {},
     "execution_count": 4
    }
   ]
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "def plot_hist(d, title):\n    plt.hist(d)\n    plt.title(title)\n    sns.despine()\n    plt.show()",
   "execution_count": 5,
   "outputs": []
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "plot_hist(parent_heights, \"Parents ($\\mu=%.2f$)\" % np.mean(parent_heights))\nplot_hist(selected_parents, \"Selected ($\\mu=%.2f$)\" % np.mean(selected_parents))",
   "execution_count": 6,
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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CSjtrqTYAXCEJDwGA3ckp2T44PCvJ/03yoSSfGvdD/JGxwMnONDsb6bvdfb+d3P+G6u4P\nZAh1jquqIzLM3DomyX2z/VLjn85QBOYB63zU7J6WB67x3jtnW4h7+nKNxhmqPzOefrC71xRSbqSq\nul6GysGLzpxbWHefn2GJ8POXaTJbGfkfd4NnfinDNgdLfy9ZLdib36PzKll9Nu9Bc+fL7rkKAPw4\n4SEAsFuoqjsk+S8zl17d3U9e5baVlgevx+wsqIOr6krd/Z2d/IzdQnd/MckXk7xuDOJ+NsPS5uuP\nTe5XVTfu7s+to/vZ2WNr/T1amk242n6Ht8ywd12yhy1ZzrAH4KnjjNBdbamYzdYkb9voZ45FUM7K\nsLdpsnpxoNm/v1yWxQryzP4ZvHSlgk0AwI8THgIAu4v7zxxfnOSZC9xz67nzHSkskiSzBR/2SnKP\nDAUhVlRVd0ny+Axh3NlJ/nqBisqXu7Egx22S3DTJmd3951Ptxsqz76yqR2T7qsVHJllPeDh7z2Fr\nvHdpH8OvjwHncu42c/yj8LCGSjPf7e755bC7k59PknGPwEUcXlWzM/JO7e5fXOezbz++ntXdiy75\n31GrPfOMbAsPVwubD5g5/tKCVZNn/wx+YYH2AMAM4SEAsLu4zszxd1cL36pqnyS/Mnd5Rz/bfDxD\nleSfHM+fkQXCwwxLUO81Hl+Q5M07OI6d5ZlJHjMevz/DfpIr+fTc+fwS0UV9Zub4ugvuS5eq2i/J\nncbTs1ZpvhQeXpzkgzPX/yDDkus/WuB5f5rkoau12wEf6e47zl/s7lVD7qo6LEMYnSRnd/cNV2h7\nSJK/yjAb8/nd/fJl2t0uyfXG05etNoZVxrczn/mWDIVVkuQmqzz6mjPHf7nYaLfb3/P/LXgPADAS\nHgIAu4tvzBwfUlW37+4zpxpW1V5JXp5hb75Zqy15XFF3/7CqXprkd8dLx1TVs7v7fy13T1U9KduC\nwyR5zS7cf+/7SfYfjw+YeP+vsy08vHNVPWS52Yej2SDtsixejGbeBzIsUd2SYQbnrcdrqzkqyX7j\n8bLLUcfCOkv7BX60uy8er++b5I5JHrvIILv74UkevkjbDbBlDW0fk6G6cTJUzX71MmHt0jYAZ2WB\ncHVXPbO7z6iqz2cI+e68ynNvPr7+cLn+Jtx+5nin7PMIAFckOz08rKqnJDkpyd909wPX2ccvJXnN\neHrP7n7vKu33TfKkJI/I8IFivyTnZdhk++Tu/ucFn3t0hn/1vGuGjZ0vyFDR8Q1JXr/gsggAYH3+\nLsmzZ87fVFWP7+4zli6Me/Mdk+R5SY6e6ONKO2EcJyV5VJLbjucnjEthn9fdX5oZy6FJ/nuS42bu\n/XKS/70TxrCo87NtluT9MnwPZ/1lhorUP5UhjPqjccbYH3X3j2YVjp+lHpeh0vKSt3T3eesZVHef\nX1WfyLZw905ZLDycXYp8tRXavSLJ1cfj2c95903y6e4+d9GxbhI/XOb4R8aKx0/IMFPzsSt9rh2X\nu/9xkhsk+a3ufsXl/cwMP0t/nuSeVXVod//7RH8HZfj5T5JXdvdqs1OXZkjeeDzdmuTdq90DAGxv\nR/cF2k5VHZnkd8bTdQVt4xKNl870sWI/VXXdJB/JMPvgzhkqru2XYWPmJyT5UFU9e/keftTPS5K8\nN8kvZFg2tXeGZRHHZKj8eHpVXX35HgCAHdHd78v24dcNk7yvqs6uqvdV1ZlJ/j3JP2QIDrcmeXGS\nD8/cc92dMI5Lkjwkyb/OXH5skrOr6lNV9Z6q+kyGoPDXs22G2IVJHtLd/7GjY1iD2ZmBT6uqj1XV\nu6rqZUkyzoB8XIYZislQ+fhVSc6vqg9W1T9U1QczzPp8VbbN+vt8hiXbO+KvZo5/dsF77j5zfJdx\nhuF2qur4JLfLtuWns8UvHpPhH303g/1mjlebUfv3GQK87yR55vwMwLGy9l9m+Jl53AKFWk5KcosM\nn6tfXlU3uryf2d1/kWG5/z4Zfq6nPDfJlZN8LEPYuIj7zBz/6yKBIwCwvZ0283D8gPC3SQ7agT62\nZAjqlmYNrLhco6r2H595y/HSBzPscXNhhn/hfmKGJTwnVNXXuvt1y/Tz7GzblP0bSf4wyacyVBv8\nr0kqw19S3lJV9+7uyX9dBQB22MMzBA73mLl2g/HXrM8m+fXufkdVvSbDctdk+P/172YHdfe/VdVR\nGQK1h8y8deT4a96ZSR7f3fN7Bl7eXpRhyfRSuLQ00+9GGcO/7v5AVf2nDJ+Rlr6PB2Xb92zW1gyf\nrZ7c3YtUsV3JGzLMEE2Su1XVQSvtY1lVeye5y3h6WZKrZvjsdVySryS5VYbA6OAMX/PdMoRNx1TV\n1TIU3PmZJL+0g+PeMFV1zySHZ/h9mq08ft2qeluGwjBfzbBU+0d/1rq7q+o3M/wj+LlVde0Ms1Kv\nk+RBSY7P8Ln6wd39NwsMZXbZ/Q/nzi+vZybJsRlC08dV1beTnDh+vYcn+dUkT83w5/NhayhIdL+Z\n49cveA8AMGOnzDwcl/u+Pz/+wX6tnpbt/7KwmmdlW3D42u6+S3e/srvf1N3PyPAB9MLx/RPHD5bb\nGf8l9fjx9Jwkt+nu53f3m7v7xAyV3/52fP8eGSopAsAV2aorA9aru7+VIRh6WIYQ8UsZZs19N0OV\n1DdlWFJ8s+5+x3jbO2fG9bNVNVt4Zevc61rGckF3PzTDZ4EXZ1jp8LUMRUS+nWHm2xuSPKC7j1ol\nOFzvOFb8Xnf3BzKEaH+ZIWS5NMm3knxrLD6y1O59GULPxyf5swzVkL81tv96hkIxL09y9+5+wM6o\nVNzdX0hy2ni6f7YPw6bcLsPMyGRYCn5chqXLH8owy/P3MhSvObq7v97df5Zhj8b9MxS5eWaS/9Ld\n39nRsW+g5yV5bZLnZ5j5t3Xm1/0yrPA5NUNgt53u/t0kTx/f+3CGn5lPZJiN+bIkN1pDiPfU8d5v\nJvlv3X32VKOd/Mx09w+6+z9nCBFvlmGG4bczbEV0/ST/ubvvv2hwWFUHJHnweHpphkkKAMAabdm6\ndf2f/cf9cZ6Z5AUZNsOe9fbuftAa+rpxhg+uB2QI/A4e37rH+IF3vv1+GT4oHpLhg/wR3f39iXaP\nzfAhKxkqwb1w7v2TkjxlPP2F7n7rRB9XzVDt7uAMyx1+ar4NAADbG2c8LoW87+ru+67Q9jcy7Be5\nNcktuvszy7WFRVTVI5O8cTz94+5eqJAOALC9dc88rKp7J/l0khMyBIeXZFg6s56+9spQLe2ADEuP\n37TAbffJEBwmyalTweHojdlWvfERc8/dkmFmQ5J8ZSo4TJJx76JTx9MjquoOC4wPAOAKrbvfmW0F\nTe5VVTddofnSfocXCA7ZSX5tfL0su7aQEQBsKjuybPnYDBuZJ0NF4rtmWGaxHs/KsEfhRRmW0yyy\np+A9Z47ftVyjcaPwpWrNN62q2aXVt0hyjfH4Pas8b6ky25YkP7fA+AAASH5jfN2S7StT/0hV/USG\n/QqT5IypNrAWVXWnJHccT1+/AfuRAsCmsSPh4dYMM/qOS3Lb7v5oVilwMqWqbpnkt8fT3+ruzy54\n69Jeh1uTrFY17VPj65YM+xbN95E19JG5PgAAWEZ3vyfJ28bTx1XVYRPNbp2him4yFAWBHbX094tv\nJ/mtjRwIAOzpdiQ8PCnJDbr75d39g/V0UFX7ZKh6tk+S93f3763h9sPH1+8vUA3wnJnj2Q+sh88c\nn71KH+dm24blUx96AQCY9qsZQpx9sy3UmbW0ZHlrkn/cVYNic6qqu2XY4ihJ/kd3n7eR4wGAPd26\nw8Pu/ugK+wwu6nlJfjrJ97L2KsaHjq/nL9D2gpnjq0/0kWzbF3FSd1+aZKl639VXagsAwDZj9eZn\njKfHVtXt55oshYffzbY9EmHNxiXwLx1PT+/ukzZyPACwGezIzMMdMhYd+c3x9Lnd/fk1dnHg+LpI\ngDnb5qCJPtbaz0ErtgIAYDvdfUqGFSdbkpw8Fq5bsrTf4fu7e5G9r2E5v5Jhi6GvJ3nUBo8FADaF\nvTfioVW1f4bqynslOaO7X7aObvYZXy9eoO1sm9mveamPrWvsZ0O+bwAAe7LufnymV5t8PEMhu9/Z\nleNh8+nuk5OcvNHjAIDNZKNCsBOS3DTDcuUnrLOPi5IckGHvnNXsN3N8yVwfS9bSzyUrtlqDqnpZ\nhk3CP97dz1itPQDAZtPd997oMQAAMG2Xh4dVdXSGPW+2JnlOd39hnV19J0N4uP8CbWfbzAaGS3sY\nblljPxet2Gptbp3k7kcdddTdkzx9J/YLAAAAwJ5ly+pNdq1duudhVR2U5NQM34gzkrxigduW+6Yt\nFUE5ZIE+ZtvMVmZerpDKjxkrQ19pog8AAAAA2JR29czDOyQ5Yjw+OsllVbXaPafNtLlnd793PO4k\nleTAqrp6d69UdfmwmeOzZ457mTZTrp9tQebZK7QDAAAAgE1hw6otj7Yu82ultks+NXN881Wec4uZ\nPs7awT4y1wcAAAAAbEq7eubhWUn+c5YPCJNhdt8Tk9xvPH9ukk+Ox7Nh32lJnj22PybJ+6Y6q6q9\nk9x9PD27u7+09F53f66qvpzkeknuucrY7zX3bAAAAADY1HZpeDguLf6r1dpV1X1mTs/o7qlg8LQk\n30hyjSRPrKr/3d3fn2j3mCRXG4/fNPH+n2Uo4HJYVT2ou/96YjxXS/K48fScDPs1AgAAAMCmttHL\nltetuy9L8tLx9DpJThlnGf5IVd16ps13M12g5RVJLh6PX1VVN57r44Akf5LkKuOlE7t7pZmTAAAA\nALAp7Oply2u1Wkh3YpJHJ7lZkocnObKqXpthRuJRSZ6UZP+xn9/s7q/Od9DdX6yqFyV5YZJrJTmz\nql6Z5GNJrpvkl5PcZGz+wSQn7+gXBQAAAAB7gt09PNyy0pvdfUlV3TfJOzMUNLlVkpfPNfthkhd0\n97KhX3efUFWHJDkuyZWTPGui2YeTPHCc8QgAAAAAm97ltWx5R5f1bp17XVZ3n5fkdkl+Lck/JTk/\nySVJvpxhufFduvsFC/TzzCR3y7Av4jljHxdmKMTy5LGf89f8lQAAAADAHmrL1q2279tIVXV6krsf\nddRRecMb3rDRwwEA2FC3uvXt872LL93oYVzhHLjfPvnEx8/c6GEAAKuswt0Iu/uyZQAArkC+d/Gl\nOfJ+qy4aYSf7zDuet9FDAAB2U3tstWUAAAAA4PIlPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAA\nAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABg\nkvAQAAAAAJi090YPAABgd3OrW98+37v40o0exhXS17/29Ry50YMAAOBHhIcAAHO+d/GlOfJ+L9jo\nYVwhffV1T97oIQAAMMOyZQAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAA\nAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABg\nkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJD\nAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAA\nAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAm\nCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwE\nAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAA\nAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS\n8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMA\nAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAA\ngEnCQwC2boiuAAAgAElEQVQAAABgkvAQAAAAAJi0987usKqekuSkJH/T3Q9coP0xSX4xyZ2TXDvJ\nliRfTfKPSV7T3Wcs0Me+SZ6U5BFJbp5kvyTnJTk9ycnd/c8Ljv3oJE9Lctckhya5IMknk7whyeu7\ne+si/QAAAADAZrBTZx5W1ZFJfmc8XTFoq6qDquotSd6V5FFJjkhyQJL9kxye5DFJ3ldVrxvDweX6\nuW6SjyR5eYYA8ioZwsMjkjwhyYeq6tkLjP0lSd6b5BeSXCdDsHrNJMckOSXJ6VV19dX6AQAAAIDN\nYqeFh1V1RJK/TXLQgrf8aZKHjMffSPLiJI9M8ugkr0jynfG9xyf5P8s8c//xmbccL30wyVMyhJG/\nn+SiJHslOaGqfnGFsT87yTNnxvLCDLMYn5Wkx+tHJ3lLVVnqDQAAAMAVwk5Ztjwu931zkmst2P5h\nSe43nn4syX27+/yZJv+3ql6W5LQkN0hybFW9sbv/bq6rZ2VbcPja7n7izHtvqqpTxj4OTnJiVf1F\nd39zbiw3SnL8eHpOkrt097kz75+c5M+T/FySe2QIM1+3yNcJAAAAAHuyHZpFV1X7jrP23pMFg8PR\nU8bXy5I8ai44TJJ09xeT/NLMpSfPPXu/JE8fT7+WYa/C+T7+JckzxtOrJnnqxFiOS7LP0vFscDj2\n8f0MMxkvHC89Z/pLAgAAAIDNZd3hYVXdO8mnk5yQYWnwJUletMB9B2RYApwkH+nuXq5td787yVKw\neMe5t++T5JDx+NQx5JvyxgxLkZNhKfLsWLYkedh4+pXufusy4/iPJKeOp0dU1R2WGzMAAAAAbBY7\nMvPw2CQ3HI8/maFC8WsXuO8aGQqcnJshfFzN0oy/q81dv+fM8buWu7m7L8tQCCVJblpVN5h5+xbj\neJJh9uRK3j2+bsmwhBkAAAAANrUd2fNwa4YZfSckObm7f1BVh692U3efk+ROizygqq6UYc/DZNvs\nwSVLex1uTXLWKl19KkNxli1JbpPkS3N9ZME+ltxmlbYAAAAAsMfbkfDwpCS/ssJy4Z3hcdm2H+EH\n5t47fHz9fnd/fZV+zpk5PmyijyQ5e5U+zs0QVG6Z6wMAAAAANqV1L1vu7o9ensFhVV0zyW/PXHr9\nXJNDx9cfK7Yy4YKZ46tP9JH8+MzG7XT3pUm+M9EHAAAAAGxKO1Rt+fJSVfsmeXO2FUT5x+5++1yz\nA8fXRQLM2TYHTfSx1n4OWrEVAAAAAGwCu114WFV7J3lTkruNly5I8piJpkvLmS9eoNvZNrNLtZf6\n2LrGfnZkuTcAAAAA7BF2q/CwqvZL8tYkDx4vXZzkYd39pYnmF42v+y7Q9X4zx5dM9LHWfi5ZsRUA\nAAAAbAK7TXhYVYck+fskDxgvXZIhOHzPMrcs7T+4/wLdz7aZDQyX+tiyxn4uWrEVAAAAAGwCu0V4\nWFU3TPL+JEePl76X5MHd/bYVblsqgnLICm2WzLaZrcy8XCGVqTHuk+RKE30AAAAAwKa04eFhVd0h\nyQeT3GS8dEGS+3b3O1e5tcfXA6tqterHh80cnz3Rx3ybKdfPMENxvg8AAAAA2JQ2NDysqqOTvCfJ\nNcZLX0pydHe/f4HbPzVzfPNV2t5ifN2a5Kwd7CNzfQAAAADAprRh4WFV3S7JO5IcNF76ZJI7d/dn\nFuzitPF1S5JjVnjO3knuPp6ePVt8pbs/l+TL4+k9V3nevSaeDQAAAACb1oaEh1V1cJK/yLbg8Mwk\nd+vur6yhm9OSfGM8fmJVLVfw5DFJrjYev2ni/T8bXw+rqgctM96rJXnceHpOkjPWME4AAAAA2CNt\n1MzDlye53nj8+SQ/290XrqWD7r4syUvH0+skOWWcZfgjVXXrmTbfTfKKia5ekeTi8fhVVXXjuT4O\nSPInSa4yXjqxu7euZawAAAAAsCfae/UmO1dVVZJjZy69Ocndh8sr2trdfzV37cQkj05ysyQPT3Jk\nVb02w4zEo5I8Kcn+GfY6/M3u/up8p939xap6UZIXJrlWkjOr6pVJPpbkukl+OduKuXwwyckLfqkA\nAAAAsEfb5eFhksdnW9XiJHnOGu7dbqZkd19SVfdN8s4MBU1ulWFW46wfJnlBdy8b+nX3CVV1SJLj\nklw5ybMmmn04yQPHGY8AAAAAsOldXsuWV1rWe4vx/fX8+jHdfV6S2yX5tST/lOT8JJdkKITyJ0nu\n0t0vWG3A3f3MJHfLsC/iOWMfFyZ5X5Inj/2cv1o/AAAAALBZ7NSZh919dlYJJLv7gTvzmWOflyY5\nafy1I/2cEcVQAAAAACDJxhVMAQAAAAB2c8JDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnC\nQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEA\nAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAA\nJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8\nBAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAA\nAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABg\nkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJD\nAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAA\nAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAm\nCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwE\nAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAA\nAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS\n8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABg0t47u8OqekqSk5L8TXc/cIH2N0zy60num+T6\nSb6f5AtJ/jzJH3T3fyzQx75JnpTkEUlunmS/JOclOT3Jyd39zwuO/egkT0ty1ySHJrkgySeTvCHJ\n67t76yL9AAAAAMBmsFNnHlbVkUl+ZzxdNWirqocmOSvJU5L8VIbQ76pJbpvkhCSfqKrbrdLHdZN8\nJMnLk9w5yVXGfo5I8oQkH6qqZy8wlpckeW+SX0hynQzB6jWTHJPklCSnV9XVV+sHAAAAADaLnRYe\nVtURSf42yUELtj86yf9NckCSS5O8OsmjM8wgfPfY7PpJ3jYGhFN97D8+85bjpQ9mCCIfleT3k1yU\nZK8kJ1TVL64wlmcneeZ4+o0kL8wwi/FZSXq8fnSSt1SVpd4AAAAAXCHslGXLYxD45iTXWrD93kle\nkyG8vCTJ/bv73TNNXlNVz0tyfJJrJ/nfSR470dWzsi04fG13P3HmvTdV1SlJTktycJITq+ovuvub\nc2O50ficJDknyV26+9yZ90/OsIT655LcI8njk7xuka8TAAAAAPZkOzSLrqr2HWftvScLBoejBye5\nyXj86rngMEnS3S/IsGdhkjyqqg6fe/Z+SZ4+nn4tw16F8338S5JnjKdXTfLUibEcl2SfpePZ4HDs\n4/sZZjJeOF56znJfFAAAAABsJusOD6vq3kk+nWFvwr0yzCB80YK3P2J83Zrk5BXavWx8/YkkD517\n7z5JDhmPTx1DvilvzLAUefa5SZKq2pLkYePpV7r7rVMdjEVbTh1Pj6iqO6wwZgAAAADYFHZk5uGx\nSW44Hn8yQ4Xi1y547z3G1/O6u1dod3q2FV75ubn37jlz/K7lOujuyzIUQkmSm1bVDWbevkWSa4zH\n71lhHMm2fRi3TIwFAAAAADadHQkPt2aY0Xdcktt290czBGsrGoufLM0YPGultt39rQz7ECbJT8+9\nvbTX4dbV+knyqfF1S5LbTPSx6lhm+shcHwAAAACwKe1IeHhSkht098u7+wdruO/wmeOzF2j/pfH1\n4Kq6ykQ/3+/ur6/Sxzkzx4etcyznZtssyMNWaggAAAAAm8G6w8Pu/ugK+wyu5NCZ428s22qb2erI\nV5/o5/wF+rhglT5WHUt3X5rkOxN9AAAAAMCmtEPVltfpwJnjRcLH2TYHTfSzM/pYaz8HrdgKAAAA\nADaBjQgP95k5vniB9rNt9p7oZ2f0sXWN/ey9YisAAAAA2AQ2Ijy8aOZ43wXa7zdzfMlEPzujj7X2\nc8mKrQAAAABgE9iI8PA7M8f7L9B+ts1s2PediffX28eWNfZz0YqtAAAAAGAT2IjwcLniJcs5ZOZ4\ntqryBRPvr7ePVcdSVfskudJEHwAAAACwKW1EeNgzx4ct0H6pzQXd/d2Jfg6sqtVCyNnnnL3OsVw/\nwwzF+T4AAAAAYFPa5eFhd1+Y5Cvj6c1XaltVByf5yfH0rLm3PzVzvGI/SW4xvm6d62c9fUyNBQAA\nAAA2nY2YeZgkp42vh1XV4Su0u2e2zfY7be69pfMtSY5ZroOq2jvJ3cfTs7v7S0vvdffnknx55lkr\nudfEswEAAABg09qo8PDN4+uWJL+2QrtnjK9bk7xp7r3TknxjPH5iVS1X8OQxSa42Hs/3kSR/Nr4e\nVlUPmuqgqq6W5HHj6TlJzlhhzAAAAACwKWxUePg3ST4zHj+tqh4836Cqjk9y9Hj6V+MswR/p7suS\nvHQ8vU6SU8ZZhrN93HqmzXeTvGJiLK9IcvF4/KqquvFcHwck+ZMkVxkvndjdW1f86gAAAABgE9h7\n9SY7X3dfVlVPSfKuJHsl+fOqemOSv0+yf5KHZ9sy4QuSPH2Zrk5M8ugkNxvvObKqXpthRuJRSZ40\n9rc1yW9291cnxvLFqnpRkhcmuVaSM6vqlUk+luS6SX45yU3G5h9McvIOfOkAAAAAsMfYkPAwSbr7\nvVV1bJLXJTkgybHjr1lfTfKg7j5nmT4uqar7JnlnhoImt0ry8rlmP0zygu5eNvTr7hOq6pAkxyW5\ncpJnTTT7cJIHjjMeAQAAAGDTu7yWLS+0rLe7/zRDleNXJPlshqXF30vyL0lelOTm3X3mKn2cl+R2\nGfZO/Kck5ye5JEMhlD9JcpfufsECY3lmkrtl2BfxnLGPC5O8L8mTx37OX+TrAgAAAIDNYKfOPOzu\ns7PGQHK8Z7llyYv2cWmSk8ZfO9LPGVEMBQAAAACSbFzBFAAAAABgNyc8BAAAAAAmCQ8BAAAAgEnC\nQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEA\nAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAA\nJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8\nBAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAA\nAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABg\nkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJD\nAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAA\nAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAm\nCQ8BAAAAgEnCQwAAAABgkvAQAAAAAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwE\nAAAAACYJDwEAAACAScJDAAAAAGCS8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABgkvAQAAAA\nAJgkPAQAAAAAJgkPAQAAAIBJwkMAAAAAYJLwEAAAAACYJDwEAAAAACYJDwEAAACAScJDAAAAAGCS\n8BAAAAAAmCQ8BAAAAAAmCQ8BAAAAgEnCQwAAAABg0v9n786jPqnqOwF/GhqaRaQBN0TWQa8tsihq\nonMYQUYmSjRMMigDaNSIGEaEmDEjxxyG6ZEZc3JQEdCEDkJMUDAhjjEuMTBARhNFVBYJubh1aGwB\noVHWplt4549fveny9b5LN9D1Ls9zznvqVt1b37r1+/PzVtUVHgIAAAAATYuHngAAMLkDDnpRHnx4\n/dDTWHDuvOPOLBt6EgAAMAvMivCwlLJ1kt9M8rokByXZMcl9Sb6d5K+SrKi1PjhNjX2SvCvJEUl2\nT7I2yfeSXJbkI7XWn85wHicmOSbJfkmWJFmd5Kok59Vav7kJtwcAm+zBh9dn2auXDz2NBef2j719\n6CkAAMCsMPhry6WU3ZN8LckfJzk8yS4ZhZo7JTkkyQeTXF9Ked4UNY5OcmOSk5Lsm1Hot2OSFyY5\nM8kNpZSDp5nHM5N8PcnZSV6a5Mldnb2TvDnJ10opp23yjQIAAADAHDNoeFhKWZLkC0kO7A79KMkZ\nSY5LclqSf+qO/5skf1dKeVqjxiFJPplk2yTrk5zfnX9ikiu6Ybsn+WwXELbmsU03j/27Q1/NKIg8\nNsmHkzyUZMskZ5ZS3rJpdwsAAAAAc8vQry2fmGT8icL/l+RXa633jXeWUj6Q5E+SvCHJrhkFiyf1\n+hcnWZFRCLouyZG11vHAMElWlFJO7857RpL3J3ljYx7vzobg8IJa6wm9vktKKRcmuTLJ0iRnlVI+\nXWu9Z1NuGAAAAADmiqFfW/61bjuW5O394DBJaq3rMwoL7+8OHT3h/KOSPKdrnz8hOByvsTyjbxYm\nybGllL36/d3Tj6d0u3ckOblR4/okp3a7OyZ5x1Q3BQAAAADzwdDh4W7ddl2t9ebWgFrrA0lu6nZ3\nLqVs2+s+ptuOJTlviut8qNtukV8MIF+ZZOeufVGtde0kNS5OcteE6wIAAADAvDV0eHh7t926lPKU\nKcY9vds+UGt9qHf80G67utZapzj/qowCxiR51YS+w3rtyycrUGt9JMnV3e5zSyl7THE9AAAAAJjz\nhg4PP99tF2X03cFfUEr5T0n26na/2Dv+zGx4YvDGqS5Sa703yapu98AJ3ePfOhybrk42PAG5KMkL\nphkLAAAAAHPa0AumnJvkdUlemOTdpZSnJ/lAku8meWaS45O8pxt7R0YrMI/bq9deOYNr3ZpkjyRL\nSylP7gLFfp21tdY7p6mxqtfecwbXBAAAAIA5a9AnD2utDyZ5RZKPJnk4o5WQr8togZRbkpyeZOuM\nnlA8pNb6vd7pT+2178r0+qsj79Koc/cMaqyZpAYAAAAAzDtDv7acJFsm+WGSn07Svy5JTXLvhOPb\n9dqTLXLS1x+zfaPOY6kBAAAAAPPOoOFhKWX3JF9N8r4kT0vyjSS/m9GrzCdntIDJ1kl+J8m3SynP\n752+Va/98Awu1x/Tf117q0b/xtYAAAAAgHlnsACslLJVRgugPLs79L9rre+dMOy8UsrxSS5K8pQk\nV5RS9qu13pWkv+ry1jO45JJee12v/VCSbR9jDQAAAACYd4Z88vDXkyzr2l9sBIdJklrrnyd5f7f7\n1CTv6tr394ZtM4Pr9cf0g8f7G/0bWwMAAAAA5p0hw8NX9tofnmbsB5M82rVf020nWwBlMjv32v1V\nldc0+je2BgAAAADMO0OGh7t327EkN0w1sNZ6d5Jbu919xg/3huw5g+uNj1lTa32gX77bbldKmS6E\n7F9n5QyuCQAAAABz1pDh4fpeeyavDI97JElqrfck+VF3bL+pTiilLE2yW7d744Tum3rtKeskGV+w\nZaxRBwAAAADmlSHDw+9320VJXjzVwFLKjtnwpOLKXteV3XbPUspeU5Q4rLtO/5yJNRYlecUUc1ic\n5OXjc6i13jrZWAAAAACYD4YMD7/Qa59cSlk06cjkvyTZsmt/sXf8U912UZJ3TnH+qd12LMklE/qu\nTHJX1z6hlDLZU5BvSLJT155YAwAAAADmncHCw1rrF7LhW4cvS3J2KeUX5lNK+bUkZ3S7DyX5UK/7\nc0lu7tonl1KOapx/RpJDut3P1Fq/M2Eej2S0IEuS7Jrkwu4pw36Ng3pjHkhyzjS3BwAAAABz3uLp\nhzyhjkvyD0l2SPKOJK8spfxZRq8075j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k/aXLxxZv+ybRGrTYrF15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\nAAAASUVORK5CYII=\n",
      "text/plain": "<matplotlib.figure.Figure at 0x114fc1710>"
     },
     "metadata": {
      "image/png": {
       "width": 647,
       "height": 456
      }
     }
    },
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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AAHRMAAgAAAAAHRMAAgAAAEDHBIAA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\nAlCSJEmSJEnqMBOAkiRJkiRJUof9Hw7T8v0PmXeMAAAAAElFTkSuQmCC\n",
      "text/plain": "<matplotlib.figure.Figure at 0x116cdc650>"
     },
     "metadata": {
      "image/png": {
       "width": 640,
       "height": 456
      }
     }
    }
   ]
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "h2 = 0.7\noffspring_heights = []\n\ndef offspring_height(x):\n    d = sp.random.uniform(0, 0.25)\n    if sp.random.random() < 0.5:\n        return x - x*d\n    else:\n        return x + x*d\n\nfor p in selected_parents:\n    r = sp.random.random()\n    if r < h2:\n        offspring_heights.append(offspring_height(p))\n    else:\n        offspring_heights.append(sp.random.normal(scale=scale, loc=loc))",
   "execution_count": 7,
   "outputs": []
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "plot_hist(offspring_heights, \"Offspring ($\\mu=%.2f$)\" % np.mean(offspring_heights))\n",
   "execution_count": 8,
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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      "text/plain": "<matplotlib.figure.Figure at 0x11773ce50>"
     },
     "metadata": {
      "image/png": {
       "width": 640,
       "height": 456
      }
     }
    }
   ]
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "reg = sp.stats.linregress(selected_parents, \n                          offspring_heights)\nprint reg\nslope, intercept, r_value, p_value, std_err = reg",
   "execution_count": 9,
   "outputs": [
    {
     "output_type": "stream",
     "text": "(0.68521587383632299, 16.411884793305788, 0.38773583980915416, 3.3174144491032247e-68, 0.037669814984227883)\n",
     "name": "stdout"
    }
   ]
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "plt.scatter(selected_parents, offspring_heights)\nplt.xlabel(\"Parent height (cm)\")\nplt.ylabel(\"Offpring height (cm)\")\nplt.title(\"y=%.5fx + %.5f ($r^2$ = %.2f, $p$ = %.5f), n=%d\" % (slope, \n                                                         intercept, \n                                                         r_value**2,\n                                                         p_value,\n                                                         len(offspring_heights)))\nplt.plot(parent_heights,parent_heights*slope+intercept, 'r-')\nplt.xlim((55,120))\nsns.despine()\nplt.show()",
   "execution_count": 10,
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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+0wsiYveIWEdxczV9nvkmPWrJRcRZEXF95W+XkffK5q4vqix6IPCFiDi8La8A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zktUvIVD1KPr65ulIbfSjufeQm/lZl1d26LurrZebd7Y+O8jH52EkE7zWMmZE1NtKB+TS+XdZCT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QBl2pY1Kh+jTLfxeOBtEfEg4N+B3wCbU75R/n9V3j8Ah9WuXVhLLxvgXrZjjcqttfQ6XXMV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\nI4XU8n56AAAAAElFTkSuQmCC\n",
      "text/plain": "<matplotlib.figure.Figure at 0x1177b3050>"
     },
     "metadata": {
      "image/png": {
       "width": 659,
       "height": 480
      }
     }
    }
   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "##$R = h^2S$"
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "S = np.mean(selected_parents)-np.mean(parent_heights)\nS",
   "execution_count": 11,
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "15.280780333035842"
     },
     "metadata": {},
     "execution_count": 11
    }
   ]
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "R = slope*S\nR",
   "execution_count": 12,
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "10.470633248802054"
     },
     "metadata": {},
     "execution_count": 12
    }
   ]
  },
  {
   "metadata": {
    "collapsed": false,
    "trusted": true
   },
   "cell_type": "code",
   "source": "new_mean = np.mean(parent_heights) + R\nnew_mean",
   "execution_count": 13,
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "60.428085360067968"
     },
     "metadata": {},
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