{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d44b4b4c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.pyplot._IonContext at 0x7fe1de5c5250>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy import sqrt\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.io as sio\n",
    "import os\n",
    "import random\n",
    "import time\n",
    "import sys\n",
    "from scipy.sparse import csr_matrix\n",
    "from scipy import sparse\n",
    "from scipy.stats import rv_continuous\n",
    "from matplotlib import rcParams\n",
    "from scipy.linalg import eigh\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from scipy import stats\n",
    "import statsmodels.api as sm\n",
    "import pandas as pd\n",
    "import matplotlib as mpl\n",
    "\n",
    "\n",
    "rcParams['font.family'] = 'serif'\n",
    "rcParams['font.serif'] = 'Times'\n",
    "rcParams['svg.fonttype'] = 'none'\n",
    "plt.rc('text',usetex=True)\n",
    "mpl.rcParams['figure.dpi'] = 400 \n",
    "plt.ion()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b79ccf0d",
   "metadata": {},
   "source": [
    "# Duncan Prestige dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "d35f850f",
   "metadata": {},
   "outputs": [
    {
     "data": {
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3fL9OLvP6RzTeqz/88EPfw6GVSiVWVlYuFXDO5/NRKpUuHbIvl8vx/Pnzrt9rnSwvL3es2H9Wq/d8NpuNra2tvvTprCRJ4sWLF1Eul3t+D2QymXj27FkUi8WBHNhQrVbj1atX5z7/m5ubLd93SZJEsViMtbW1rvZ/nXPLKI35AAAAALeZgDUAAAAAMLK6CZC2CosWi8VYXV09te0yAcWbYG5uLqrV6rnt1x34KxaLVwqTZrPZKJVKkc/n+9expouC+tlsNnK53HGg86jy8tnHsb6+HoVC4dIB64g4Dp2+evWq5et1VjcB64jGe/2oOnA3+43of8D6otf/ZJXiR48eRa1Wizdv3lz4HBYKhXj58uWVqwFXq9V4/vz5uefjZNX0o+r4tVotNjY2zh2MceQy48ZFAdir6LYfSZLE2tpalEqlliHnQQWsW425R+0dfcaOKlm3ew9E9Pd98OrVq7aB71YB60qlEgsLCz2PZ91+Zq+q3bz4/v37a62mDQAAAHCbCVgDAAAAACOtVSXqszY2No6Dua3Cjbe1sme7ysgXVWbtpyRJYmFh4VSF4Gw2G4VCIb777rvj4PK7d+86BlmP9DMYXqvVYmFh4VzQNp/PR7FYvDDMXalUolgsnrrf4uJi22q2nQLWZ/ffKcB52bBmN5WT+xWwTpIknj59eu75XVxcjKWlpQvff0tLSxc+l5lMJl6/fn3p926rMH0mk4n19fW24f12r8ni4mKUSqWu+7C0tHSuananis6dqjYvLS11DPCXSqWO1br7HbC+6P22uLjYthp1q8/YWb18pk7259WrVy0PlGjl7Dh5UVC8W9c111x0sMdtPZAIAAAAYBgErAEAAACAkVapVGJ+fr7tbY7CqK1um8vlYnNzc5BdHJp2YcBB//RbrVbj6dOnxyG/TCYTL1++jEKh0PZ+F4WeT7pMsLJT/470EuDuJWzZa58vqqp95CrVcMvlciwsLFx4fT8C1q0CyblcLtbX1zuGhSMi5ufn24aBL3OAQKvgdiaTic3Nza761K4y8FWD/xdVmo/oPcB9pFKpRKlU6njQwkn9DFhfNsx+Uqdq370EltsF9y9y8n120Xsyk8n0VM36qOL9IF3U10FVKAcAAAD4Go0NuwMAAAAAAO3k8/mO4chKpdIyXJ3NZuP169eD7N5QXRSsHHTl6lqtdiq8nM1m4+eff+4qVJjNZjsGXovFYk+h0bMuCldvbGz0FJJdWVm5VPC1G1cNkLdTKBS6ChRfVrlcjvn5+VPPb6FQ6DrIHBEdq+y2ev3aWV1dbRmuffbsWdd9ymQyF74uS0tLPfVn0KrVaszPz1/pc3IVS0tLLQ8QeP36ddfh6ohGuLzdgQTlcjnm5ua6eu4XFhZic3Mztra2evqsJ0kSs7Ozx4Hlo/fB1tZW1Ov1eP/+/fH/u6kO/fz5867avYqLxvhardb24BUAAAAAuidgDQAAAACMvHYVTo+cDVdnMpnY2NiITCYzoF4NV61Wi1qt1vK6QYZrkyQ5F669zPPcqTrz8+fPLxVoPRv+PrKystJT8PPI4uLilSoXtzPI12lQIftqtXquOnY+n++6yvCRXC7X9vEnSRIvXrzoal9JklxYDbxT9fuzfvjhhwuv67Y/1+HoQIWj8G+9Xu8p4H4VF4XZNzY2LvW+61StvdV77qL9HL2v8vl8lEqljgd9vHnzJubm5o7H0kKhcBykPvtcngxetxvvkiQZePD9u+++u/C6V69eDbRtAAAAgK+FgDUAAAAAMPIuE3B9/fr1tYQNh6VdgG+Qj/vp06engt2tgojdyGazbcOP7UKz7SwsLJwLV+dyuStVjF5ZWRlIUH+Q4f9Hjx71fZ9H4fWTMplMz+HqI50C761CvK20Cz6/e/eupz5lMpkLX5dhVYtuJZPJRC6XO9XXXC536deiW5VKpeXnslAoXOoAhiP5fL7tZ7RSqcTq6mrP++10cM7S0tLxeLa+vt7V89fNmREGVfn+SLsg+1ElbgAAAACuRsAaAAAAABh5mUymYyXSk9bX1wdWwXdU/PTTTxdeNzs7O5A219bWolqtntp2leByp/Dj2tpaT1WsV1dXz/UvIuLly5e9du2UTCYzkCrWgwhBHxlEePts5fKIxnN72bY6VSVOkqSr179d8Hlra6vXbl14wECtVrtUVfXr1Kky+FUkSXLha7aysnLl/Xc6WKNYLPYcHn7y5EnH22Qymdjc3Oxpjsnlcm0D5W/evOl6X5fR7nlqNQYCAAAA0DsBawAAAADgRugUxj2ysrLSU1DupmoXohtUwPJs5dqrho67qXjbbRXjWq3WsrJuPp/vS9j++++/v/I+brLV1dVTlcsjGiHTq3zW8vl8X4LgZ/vV7XUXaff5GXRwth8G+flvFTDP5/N9a7NTULvbeeBIp/dXNpuNzc3NS40R7Q4QSJLkUu+9flHFGgAAAODqBKwBAAAAgBuh2xDfICoNj5pO4b1BVEZeXV09F67sVIG4G51C1q9evepqPxcFL3sNZF7ktldEbydJknjx4sW57f14btt9XrPZ7EAqcXfS7vMz6hWsIwZTvTxJkgsPdujXZywiolAotB3na7Va24rlvVpaWrp0OLxTdexBV5JWxRoAAABgsASsAQAAAIAbo5sgX7cVj2+yTpVRB1HBtlXAtlPAsBudgsvdBAVrtdqFFVu7qZLdrWGEfUfBixcvWgaL+3Eww8rKyoXvgfX19a720a6Kdr8rjw+zKnG3BnGARavP/5F+fsYizlfK7/X6swb1ue00dr17924g7R5pN87/9NNPA20bAAAA4GsgYA0AAAAA3BjdBDpLpdI19GS4OoU8+x0orFQq5wK2mUymL+189913XbXfzsrKSsvt+Xz+qw1F99Pq6uq5bf0M1W5ubsby8nJks9nIZrNRKBRia2ur66rhL1++bPk6FwqFtuFrutfqPRDRv3HgpGfPnrW9vlar3YgKzYOudt7ueb8JBwIAAAAAjLrxYXcAAAAAAKAXmUymbXDtqJpxv6uqjpLrDs+1qiScJEnMzs5eS/vVarXt63lR1fJuA7pcrFwut9ze7+d2ZWXlwqB8J5lMJn7++ecoFovx5s2bePToUSwsLPSlwvZZb9++7fs+R127Axz6UcX+rEwmE7lcrm2I+tWrVyPx+e40Hw1Su0rlAtYAAAAAVydgDQAAAADcGHNzc12F2Uql0q0OWG9tbV1rexcFLK8rxNfu8V4UAI6IawuA32YbGxstt8/Pz19zT9rLZDJfRfX6YbjoPRDR/2r5R77//vu2AetOVe2/Bu2e+2GFvgEAAABuk7FhdwAAAAAAoBvz8/NdB3rL5fKtDpi9e/fuwuv6HXhMkmTo1VDfvHlz4XXtwp+DqK77tfnxxx9bbm9XPfemqlarsbS0dGFF9K9Vu4MYBvU+6HSATLVavdVjfD94fgAAAACuRsAaAAAAABh5S0tLPVcsvc0hyesMzl30vC8uLka9Xr+W/zY3N3vuX8Tgqut+LdqFWLPZ7PV2ZoDW1tZibm4u5ubmbvW4cVntDrAY1Gcsl8t1vM2wD/wYtsePHw+7CwAAAAC3moA1AAAAADDSVldXz4Uel5eXO96vVCoNqksjrd8VZS8KMbaron1dOlXXvo1Vlq9Tu8rhNz28XqvVolgsxszMTCwtLUW1Wo2IRrC3m3Dv16JTiHmQB3t0eo997QHrTkZhjAYAAAC4yQSsAQAAAICRVS6Xo1gsntq2uLgYKysrsbi42Pa+tVrtODR521xncO7t27ctt19nFe2LtAsAR9z8EPCwjcJr3G+VSiXm5+djdnY2VldXI0mSyGQysby8HFtbW7G5uRlPnjwZdjdHxjDfA51eh689QGx8AwAAABgsAWsAAAAAYCRVq9VYWFg4tS2fzx9Xpl5aWuq4jxcvXgykb8PWrjJzv0OHFwUsRyHceBsDwKNka2vrwutu2nO/trYWs7OzMT8/H5VKJSIistlslEqleP/+faysrEQ2mx1yL0dPpyrRgxwHOr0e7d6fAAAAAHBVAtYAAAAAwMhJkiSePn16als2m42NjY3jy7lcLnK5XNv9lMvlGxcEHTUXBSw7BS+vwyj04TZrF54dhYB9N1ZXV2NmZiaWlpaO3y/ZbDbW19dja2urYyX8r12n13mQ46sKze2Z2wAAAAAGS8AaAAAAABg5T58+PRUey2Qysbm5ee523VSx/vHHH/vZtZFwncHDiwKWoxDue/v2bdvrR6GPN1m752/Un9tyuRwzMzNRLBZP9XVlZSW2traiUCgMr3O3yCAPcnj8+PGVrv/atTvTAQAAAACdCVgDAAAAACNlYWEhqtXqqW2bm5stQ8XdVJ9dWVnpV9dGRrvgXL+Dr+3aOvs6XbdOj/WmVFkeVe2evzdv3lxjT7qXJEnMz8/HwsLCqfdHLpeLra2tWF5eHl7nbqBsNtv2+kEGrDsdSNKpb7ddpwNMVAAHAAAAuBoBawAAAABgZBSLxSiXy6e2bWxstA3SdQpZ12q1oQeB++06g3Pt2hrVkO2RQYY/vwbtwvUbGxvX2JPuVKvV+OMf/xiVSuXU9nw+H5ubm199IPcyuqmCPKzPmQAxAAAAAIMkYA0AAAAAjIS1tbVYXV09ta1UKkU+n297v6WlpY77LpVKV+rbqJmdnb22tkY5ZNspYHnbgvXXrV0gedSe23K5HHNzc+eqmudyuaG/T2+ybkLMg3ovdKpQ3034+zZr9/w4mAAAAADg6gSsAQAAAIChq1Qq54LSKysrHatTRzQClLlcru1t1tbWrtS/UdMpPNcpmNiLdgHLs5WCr1unoPlPP/10TT25ndq99rVabWQqhFer1VhYWGh53fr6+jX35nbpJqg7qPfB27dv217fadz/mglYAwAAAFydgDUAAAAAMFS1Wu1cOHJxcTGWl5e73kc3VaxvU8j6yZMnba/vZ+Dx8ePHF16XJEmUy+W+tdWundXV1XPB8U4VbEetyvJN0ynAPgqV4ZMkiadPn7a8rlAoCJr2QaezCAyjQninPn0N2o3z3vcAAAAAVydgDQAAAAAMTZIkMT8/fyo4m8/new5udlPpehTCoP2SyWQ6Vhful05Bxut4Xp8/fx7FYjHevHlzanunEGGtVutrNe+vTacg/6APWkiSJIrFYtvbvHjx4sLX+Pvvvx9Ar74+8/Pzba8fVCX7duPYRRXLvybtnp+5ublr7AkAAADA7SRgDQAAAAAMzdOnT0+FxLLZ7KWroXYKWVer1b4Gj4etXfj13bt3fWsnl8u1vb5SqQy0UnS5XI5yuRzZbPZc2LtT3yJuV+Xy69bp+U2SZKDP78LCQqyurrZ9f62url54XTfvDzrrplr0IELW7V53Fazbj/OdDo4AAAAAoDMBawAAAABgKObn508F6DKZTGxubl56f50q3UZErKysXHr/o6ZdVdmtra2+ttUpqDqoarK1Wu143xe9dp2Clq9evep7v26CflXu7vT8Li0tDaRK+OrqalQqlSgUChe+/zqFeh89etT3fn2Ncrlcx2rx6+vrfW/3ogNi8vl8x/58Ddp97hxcAAAAAHB1AtYAAAAAwLVbWlo6F47c3NyMTCZz6X1ms9mOobIff/zx0vsfNe2Cr/2u1N0pZFur1boKuPfqKESeyWSiUCi0vc1FqtXqQKrrDtpVq5D3q4p5N+H558+f96WtI5VK5fj91O6giMtWu++knxXgR7G9y+j0+e732NquevUgxpqbpt0Yr7o3AAAAQH8IWAMAAAAA16pYLMba2tqpbRsbG32pSPrDDz+0vT5JkiiXy1duZxTkcrkLA+ntwomXsbS01PE2q6urfW13fn7+OET48uXLC2+3uLjYcV/XEch8+/Ztz/dpd0DBVZ/LfoXsFxcXOx74UC6X+/YcV6vV49D84uJi23Gh02N88+ZNX/o0aIOoAN5vnd4HSZKcG9ev4qLK87lcToA42r/3Ox10AgAAAEB3BKwBAAAAgGuztrYWq6urp7aVSqW+BeYuqnJ8tr3b4tmzZy2397uCdTab7eo1mpub60u16Pn5+eP95PP5tq9ru+rWR6rV6pXDn0mS9D0I++jRo7bXX/Z1rNVqfQ27dxNiX11dvXLIulqtxtzcXEQ0Xtd21asjOgeTL/sctLvfZd8D7V7rm1DBOqLzASydXq9eXHQgzGXauAkB9l61e492Mw8CAAAA0JmANQAAAABwLcrl8rlKyPl8vqvwZi86BYErlUrfA8jDsrCwcOF1w6hiHXE6HN2rWq0Ws7Ozp+7fTSC+U/AzotH/qzwnL168aHv9ZfZ9FCa+yGUCy0mSdKxg22vgtJvnN6IRsj5ZebwXa2trp56Ply9fdqyc3en6yxxMUS6X2/b/smHoQVYrP2tQge3l5eXI5XIXXl+r1fpygMVFr8Hi4uLIVa9u91m6TFX7bv30008tt2ez2b6cDQIAAAAAAWsAAAAA4Bqsra21DAMPopp0p3BpRH8rrQ5TPp+/MEzXj6DjSYVCoetw4/z8fMzPz3cdHE2SJIrFYszOzp4KVq6vr3cVFszlcl0F9Z8+fXqp8G+lUjlXeb3VbXoNLnd6Psvlck+vY6VSiT/+8Y9Rq9XaBmEjoqeK3plMpuvPaqVSidnZ2SgWi10915VKJebm5k4F+AuFQldVeDu9N2q1WsfX7aTV1dW2By1EXL4acqe+dvM6d/tY2vXxquHr169ftw2Ld3sgRjutDizI5XK36uwDV3XR++WqVeQBAAAA+ELAGgAAAAAYqLW1tZahu0FV2uxmn2tra5cOSo6aiwJ1F1U4vYr19fWub3sUnJ2fn4/V1dUol8tRrVYjSZKo1WpRrVaPKx7PzMycC48uLi52FbI9UiqVOr72SZLE7OxsT+HicrncVWg/ohHg7qUacTefgfn5+Y79rdVqsbCwEPPz85EkSeTz+Y6vVbFY7Cm83Wv14NXV1ZidnT0OT6+ursba2lqsrq7G0tLS8et+NoifzWa7fp9187oUi8WOz9/q6mrMzMwcf5bavSYXPWedAvbfffdd2z50OuhjaWmpq8cSEW2D7Vcd9zKZTNvXp1arXSnku7q62rL/vYw9J3V6vFepMt3pAIJBzTFJkly472fPng2kTQAAAICvUaper9eH3QkAAAAA4HYqFosXVl0tFAqXDs21Uy6XO1ahHWT7wzAzM9MycDeIn38vCsz302Vfm2q1GnNzc13dNpfLxQ8//HBhiLtarcaLFy+iXC4f9+kyVapLpVLb6trdvl/z+XwsLS0dV6Y+Cqm/evXqVEA5n8/HxsZGJEkSMzMzHfebzWYjl8vFo0ePTu2/lSRJYm5u7lJVwLuRyWRic3OzpwMvLnrvn1UoFGJpaSmy2exxyH9jY+NcYHl9fT3evXvX9j2ez+ejVCrFo0eP4s2bN1EqlaJcLsf79+8vrO7czeuxvLx8Lmh9FJ6vVqvHr20nqVSq7fWbm5sdK5x30mkc6PS+b6VSqZwLzV/mPdFpnyd1+5y20uk5yOVysbm5eal9t3PRmLG4uKjKNwAAAEAfCVgDAAAAAH2XJEksLCy0rZA7qPBZu1D3WSsrK7G8vNz3Ply3ix7zxsZGT1WHuzXIkPVVQ4KdApWt5HK5yGaz8ejRo6jVavHmzZtTod2j92q3Yd4j+Xw+VlZWOoZZ5+bmeqp8fZGTn6luA9Ynra+vd6waPqiQ9WWDtKurq1eqmHzkqHJ2LpfrKah/Uqc/t8zPz3dVNTyfz0cmkzkO0Uc0np+ff/75wgD3kW6ej34FcTt91loFxi/SKjSczWZjY2PjSmc6WFhYOD5I4iJbW1uXamN2drbj56AfYfazLnpMl30cAAAAALQmYA0AAAAA9E2SJLG2ttZ14LHfAefLBH/z+XwUi8WBBJGvU6vwby8Bx14NImR9maq3rVw2INtKNpuNzc3NyGQyXQWsc7lcfP/997G4uNgxDHukVqvF3Nxcz9WxTzpb9buXCtaFQiHm5+e7/gwkSRJPnz7tSyg8ovEZXF9f7/r5OuuqAfVWFdN7DdN3E6S97Psyk8nE69evO+6/l89kv8bearUaCwsLFwaNe60Uf6RQKMTLly8v/Z6I6P5gm1wuFy9fvuw6CN3L+/9kcL9fWlUov01nZAAAAAAYFQLWAAAAAMCVVSqVWFlZ6ao661mZTCaePXsWmUwmHj9+HIVCoasqnKurq/H27duo1WqnKr1eRS6XiydPnsTs7GxPAdlR0Cpcmc1mY2tra2BtVqvVeP78+ZWf+3w+H6VSqa/VV5MkiefPn3esXtvO2dDiRaHbo5Dy0tLSpR/DVULWrcKy7QLWRyHwbj9rF+lH9eh+BH0vW1U7m81GqVRqGSzv9rF1G34+0kuF/YjGa/X69etzY1G1Wo03b97E1tZW1Gq1qFQqPb93MplMPHnyJHK5XMzOzh6Pw5dxdGDNRX042VZEHI/ZZ1+zdq9JJ0fPw+bmZvz44489Px+5XC7y+XzL5+Jo3xsbG5caU/L5fORyufjuu+86Volvp1Wl7wjVqwEAAAAGQcAaAAAAALiypaWlWFtb68u+1tfXuwqgtari2U83MbA2Ozt7LrDYTWXdq1pbW4tSqdRz0LpQKMQPP/ww0P5VKpUoFos99S2bzcbKysq59+HJgHUmk4nFxcX4/vvv+9b/JEmiWCx2/VkqFAqxsrLS8n16NmCdy+ViaWnpSiHaVo763GugdXl5OX744Ye+9qXbcSibzcbS0lLHYHenytiXrbzdbci6XQX6fo65R7odey9ydAaDUqnUc9g9n8/HwsLClSrY97Oq/tnnoh8HE0Q0xo33799f+v7z8/PnDmQa5JkKAAAAAL5mAtYAAAAAALdEtVqNubm5U9sWFxejVCpdS/u1Wi3K5XL89NNPx5XFj0K32Wz2uIrt/Px85PP5a60QniRJ/Pjjj7GxsXGqb5lMJh49ehTZbPY4hHxRsH52dvY4CHqZCrvdOnoeT/Y1ovEcZrPZWFhY6BiUPqrqfNXK2r2oVCqxvr5+3OeT/T567a/juSuVSlGpVE69xtlsNp48eRJLS0s9BeJXV1fj1atXx/s6+T65yuOoVqun+hkRx/uen5+/UtB4FJwdC5IkOfc+zmazMTc31/fQ/21Vq9Vidnb21LZBn6UAAAAA4GsmYA0AAAAAcIu0qrT6/v17AUaAG6xV1fKNjY2BHrAAAAAA8DUbG3YHAAAAAADon+Xl5XMVel+8eDGk3gBwVbVa7Vy4enFxUbgaAAAAYIBUsAYAAAAAuGVqtVrMzc1FkiTH21SxBriZFhYWolwuH1/OZrOxtbU1xB4BAAAA3H4qWAMAAAAA3DLZbDbW19dPbXv+/PmQegPAZVUqlVPh6oiIjY2NIfUGAAAA4OshYA0AAAAAcAvl8/lYWVk5vlwul8+F9AAYXUmSxMLCwqltGxsbkc1mh9QjAAAAgK+HgDUAAAAAwC21vLwchULh+PLz588jSZLhdQiArp0ds0ulUuTz+eF1CAAAAOArImANAAAAAHCLra+vHwfyWlVDBWD0rK6unjrrwPLyciwuLg6xRwAAAABfFwFrAAAAAIBbbmNjI3K5XEREVCqVWFpaGnKPALjI2tpaFIvF48vLy8uxsrIyxB4BAAAAfH1S9Xq9PuxOAAAAAAAwWEmSxNzcXNRqtYiIWFxcjFKpNOReAXBSuVw+daaBlZWVWF5eHmKPAAAAAL5OAtYAAAAAAF+JJEni6dOnUa1WIyKiUCjE+vr6kHsFQMT5cPX6+noUCoUh9ggAAADg6yVgDQAAAADwlZmfn49KpRIREfl8PjY2NobcI4Cv29raWiwtLUVERDabjY2Njchms0PuFQAAAMDXa2zYHQAAAAAA4HptbGzE8vJyRERUKpWYnZ2NWq025F4BfJ2KxeJxuLpQKMTW1pZwNQAAAMCQqWANAAAAAPCVqlQqsbCwEEmSRCaTifX19cjn88PuFsBX4+QZBdbX16NQKAy5RwAAAABEqGANAAAAAPDVyufz8f79+1hcXIwkSWJjY2PYXQL4alSr1ahUKsdjsXA1AAAAwOhQwRoAAAAAgKhWq5HL5YbdDYCvirEXAAAAYDQJWAMAAAAAAAAAAAAANI0NuwMAAAAAAAAAAAAAAKNCwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAAAAoEnAGgAAAAAAAAAAAACgScAaAAAAAAAAAAAAAKBJwBoAAAAAAAAAAOD/3ygYBaNgFIyCUTAKRgEUAAAWKk5GzM/tqgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 2944x2180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(7.36,5.45))\n",
    "\n",
    "\n",
    "duncan_prestige = sm.datasets.get_rdataset(\"Duncan\", \"carData\")\n",
    "Y = duncan_prestige.data['income']\n",
    "X = duncan_prestige.data['education']\n",
    "X = sm.add_constant(X)\n",
    "model = sm.OLS(Y,X)\n",
    "results = model.fit()\n",
    "\n",
    "model_prediction = results.predict(X[['const','education']])\n",
    "\n",
    "plt.plot(X['education'],Y,'o',color='C0',alpha=0.2,label=r'Dados')\n",
    "plt.plot(X['education'],model_prediction,'r-')\n",
    "plt.xlabel(r'$X$ (education)',fontsize=16)\n",
    "plt.ylabel(r'$Y$ (income)',fontsize=16)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b3770305",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>         <td>income</td>      <th>  R-squared:         </th> <td>   0.525</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                   <td>OLS</td>       <th>  Adj. R-squared:    </th> <td>   0.514</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>             <td>Least Squares</td>  <th>  F-statistic:       </th> <td>   47.51</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>             <td>Tue, 12 Sep 2023</td> <th>  Prob (F-statistic):</th> <td>1.84e-08</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                 <td>19:08:55</td>     <th>  Log-Likelihood:    </th> <td> -190.42</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>      <td>    45</td>      <th>  AIC:               </th> <td>   384.8</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>          <td>    43</td>      <th>  BIC:               </th> <td>   388.5</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>              <td>     1</td>      <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>      <td>nonrobust</td>    <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "      <td></td>         <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>const</th>     <td>   10.6035</td> <td>    5.198</td> <td>    2.040</td> <td> 0.048</td> <td>    0.120</td> <td>   21.087</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>education</th> <td>    0.5949</td> <td>    0.086</td> <td>    6.893</td> <td> 0.000</td> <td>    0.421</td> <td>    0.769</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td> 9.841</td> <th>  Durbin-Watson:     </th> <td>   1.736</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.007</td> <th>  Jarque-Bera (JB):  </th> <td>  10.609</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td> 0.776</td> <th>  Prob(JB):          </th> <td> 0.00497</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 4.802</td> <th>  Cond. No.          </th> <td>    123.</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:                 income   R-squared:                       0.525\n",
       "Model:                            OLS   Adj. R-squared:                  0.514\n",
       "Method:                 Least Squares   F-statistic:                     47.51\n",
       "Date:                Tue, 12 Sep 2023   Prob (F-statistic):           1.84e-08\n",
       "Time:                        19:08:55   Log-Likelihood:                -190.42\n",
       "No. Observations:                  45   AIC:                             384.8\n",
       "Df Residuals:                      43   BIC:                             388.5\n",
       "Df Model:                           1                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "==============================================================================\n",
       "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
       "------------------------------------------------------------------------------\n",
       "const         10.6035      5.198      2.040      0.048       0.120      21.087\n",
       "education      0.5949      0.086      6.893      0.000       0.421       0.769\n",
       "==============================================================================\n",
       "Omnibus:                        9.841   Durbin-Watson:                   1.736\n",
       "Prob(Omnibus):                  0.007   Jarque-Bera (JB):               10.609\n",
       "Skew:                           0.776   Prob(JB):                      0.00497\n",
       "Kurtosis:                       4.802   Cond. No.                         123.\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "\"\"\""
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d9bbc69",
   "metadata": {},
   "source": [
    "## Cálculo da estatística $t$\n",
    "\n",
    "$$ t^* = \\frac{\\hat{\\beta}_1}{\\textrm{SE}(\\hat{\\beta}_1)} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "985ef6e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.89280206135901"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_beta1 = results.params['education']/results.bse['education']\n",
    "t_beta1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "789695a5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.0398128887401277"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_beta0 = results.params['const']/results.bse['const']\n",
    "t_beta0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "837682a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.839946418520882e-08"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import scipy as sp\n",
    "\n",
    "dof = results.df_resid #degrees of freedom\n",
    "\n",
    "2*sp.stats.t.sf(t_beta1,dof) #survival function: 1 - cdf"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "230ca803",
   "metadata": {},
   "source": [
    "## Tesde de hipóteses"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "945f55e4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                             Test for Constraints                             \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "c0             0.5949      0.086     -0.000      1.000       0.421       0.769\n",
      "==============================================================================\n"
     ]
    }
   ],
   "source": [
    "#hypothesis = 'education = 0.5949'\n",
    "hypothesis = 'education = 0.5949' # Hipótese nula\n",
    "t_test = results.t_test(hypothesis)\n",
    "print(t_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a05633ed",
   "metadata": {},
   "source": [
    "## Limite de $n \\rightarrow \\infty $\n",
    "\n",
    "Conforme $n \\rightarrow \\infty $\n",
    "\n",
    "$$ \\frac{\\hat{\\beta}_* - \\beta_*}{\\widehat{\\textrm{SE}} [\\hat{\\beta}_*] } \\rightarrow \\mathcal{N}(0,1) $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "0c6b47c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 2400x1600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(6,4))\n",
    "\n",
    "dist_t = sp.stats.t\n",
    "dist_normal = sp.stats.norm\n",
    "\n",
    "ALPHAS = [0.01,0.05,0.5]\n",
    "\n",
    "sample_size = x = np.exp(np.linspace(np.log(2),np.log(5000),1000))\n",
    "\n",
    "for alpha in ALPHAS:\n",
    "    \n",
    "    K = dist_t.ppf(1-alpha,sample_size-2)\n",
    "    plt.axhline(y=dist_normal.ppf(1-alpha),linestyle='--',linewidth=0.7,color='k')\n",
    "    plt.plot(sample_size,K,linewidth='0.7',label=r'$\\alpha='+str(alpha)+r'$')\n",
    "       \n",
    "\n",
    "plt.legend(loc='upper right')\n",
    "plt.xscale('log')   \n",
    "plt.xlabel(r'Tamanho da amostra $n$',fontsize=13)\n",
    "plt.ylabel(r'$t_{n-2,\\alpha}$',fontsize=13)\n",
    "plt.ylim([-2,10])\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "97748fec",
   "metadata": {},
   "source": [
    "## Intervalos de confiança da resposta média $\\mu_{Y|X}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "09b29b4f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "\n",
    "#criando novas amostras\n",
    "x_amostras_novas = np.linspace(np.min(X.education),np.max(X.education),100)\n",
    "amostras_novas_df = pd.DataFrame()\n",
    "amostras_novas_df['education'] = x_amostras_novas\n",
    "amostras_novas_df = sm.add_constant(amostras_novas_df)\n",
    "#\n",
    "\n",
    "#predicao do modelo ja estimado para os pontos novos\n",
    "predictions = results.get_prediction(amostras_novas_df)\n",
    "\n",
    "#calculando intervalos de confianca\n",
    "summary = predictions.summary_frame(alpha=0.05)\n",
    "\n",
    "\n",
    "plt.plot(X['education'],Y,'o',color='C0',alpha=0.2,label=r'Dados')\n",
    "plt.plot(X['education'],model_prediction,'r-')\n",
    "plt.xlabel(r'$X$ (education)',fontsize=16)\n",
    "plt.ylabel(r'$Y$ (income)',fontsize=16)\n",
    "plt.plot(x_amostras_novas,summary['mean_ci_lower'],'-',color='C0')\n",
    "plt.plot(x_amostras_novas,summary['mean_ci_upper'],'-',color='C0')\n",
    "plt.fill_between(x_amostras_novas,y1=summary['mean_ci_lower'],y2=summary['mean_ci_upper'],\\\n",
    "                    alpha=0.15,label=r'IC $\\mu_{Y|x}$')\n",
    "\n",
    "\n",
    "plt.plot(x_amostras_novas,summary['obs_ci_lower'],'-',color='C1')\n",
    "plt.plot(x_amostras_novas,summary['obs_ci_upper'],'-',color='C1')\n",
    "plt.fill_between(x_amostras_novas,y1=summary['obs_ci_lower'],y2=summary['obs_ci_upper'],\\\n",
    "                    color='C1',alpha=0.15,label=r'IC $Y_{\\textrm{novo}}$')\n",
    "\n",
    "\n",
    "\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bea43d85",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}