Skip to content

Instantly share code, notes, and snippets.

@jvrsgsty
Created February 28, 2014 01:09
Show Gist options
  • Save jvrsgsty/9263179 to your computer and use it in GitHub Desktop.
Save jvrsgsty/9263179 to your computer and use it in GitHub Desktop.
Lista 4 (rls)
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Regresi\u00f3n lineal simple"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Se cuenta con datos de la densidad de autom\u00f3viles que transitan por una v\u00eda y la velocidad media a la que circulan. Se sabe que \u00e9stas dos cantidades est\u00e1n inversamente relacionadas. Para modelar la relaci\u00f3n se opta por ajustar un modelo lineal a los datos que explique la densidad de autos en funci\u00f3n de la velocidad a la que transitan. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Comenzamos por especificar el tipo de codificaci\u00f3n, una opci\u00f3n para graficar dentro del navegador y una opci\u00f3n para evitar que se importen todas las librer\u00edas incluidas en pylab."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# -*- coding: utf-8 -*-\n",
"%pylab inline \n",
"%pylab --no-import-all"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n",
"Using matplotlib backend: module://IPython.kernel.zmq.pylab.backend_inline\n",
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ahora, agregamos a la variable PATH del sistema operativo, la ruta en la que podr\u00e1 encontrar el archivo \"util\", programado por mi. De otro modo, no se podr\u00e1 importar. Si el archivo estuviera en el mismo directorio en el que est\u00e1 trabajando, se pueden omitir estas l\u00edneas. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import sys\n",
"sys.path.append('/Users/jvrsgsty/Desktop')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A conitnuaci\u00f3n se importan todas las librer\u00edas a utilizarse"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import util\n",
"import pandas as pd \n",
"import numpy as np \n",
"import statsmodels.formula.api as sm\n",
"import scipy.stats as stats\n",
"import matplotlib.pyplot as plt \n",
"from statsmodels.stats.anova import anova_lm"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Se especifica la ruta en la que se encuentran los datos. Se realiza la lectura de los datos a un Data Frame de la librer\u00eda Pandas. Posteriormente se crea el objeto del modelo de regresi\u00f3n lineal utilizando los nombres que ten\u00edan las columnas de los datos. Por \u00faltimo se ajusta el modelo de regresi\u00f3n y se obtiene el modelo ajustado."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"path = '/Users/jvrsgsty/Documents/ITAM/Semestre 7/Estadistica Aplicada 2/\\\n",
"ML-V2013/R/data/velocidad.dat'\n",
"dat = pd.read_table(path, sep='\\s*')\n",
"model = sm.ols(formula = 'densidad ~ vel', data = dat)\n",
"fitted = model.fit()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Se grafican los datos le\u00eddos anteriormente para poder detectar tendencias. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(dat.vel, dat.densidad, 'bo')\n",
"plt.xlabel('Velocidad')\n",
"plt.ylabel('Densidad')\n",
"plt.title(\"Datos\")\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAEZCAYAAAB8culNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xt0VOW9//H3hEsAE4EWATUZ6YmQC+USMBeh0JECSeVA\nUGsVFTwEeyzVBGFB649LDYJwkOOFxBI41gjCUTiHiiIDZAIySdBFhksqqFghwAK8gXKAQBIQsn9/\nBMbEnTTJkJnJwOe1VpbJMzN7f7Nl7U/28+zn2RbDMAxERESqCfJ3ASIi0vwoHERExEThICIiJgoH\nERExUTiIiIiJwkFEREwUDiIiYqJwEAG6detGu3btuPHGG7ntttsYMmQIa9asadBnDx8+TFBQEJWV\nlV6uUsR3FA4igMViYf369Zw5c4a//e1vJCYm8tRTTzF16tQGb0PzSeVaonAQ+ZE77riDefPmMXv2\nbF5++WX279+P3W4nNjaW9u3bM2zYMN544w33+wcPHgxAhw4dCA0NpaioCIB169YxbNgwevXqxZIl\nSygrK3N/ZsqUKURFRdGxY0fi4+M5fvy4b39JkXooHETqkJKSgsViYdeuXYSEhLBy5UpOnjzJ1KlT\nefLJJzlw4AAAhYWFAJw+fZrS0lISEhLYunUraWlp/OlPf+Ltt99mzZo1PP/88wDY7XaKi4v54IMP\nOHnyJEuXLqVt27Z++z1FaqNwEKlDp06diIqK4tixY/zyl7+kZ8+etGjRgqSkJFJSUnj33XeB2ruT\n3nnnHR5++GGGDh1K9+7defrpp1m7di0Aly5d4syZMxw6dAiLxUJsbCyhoaE+/d1E6qNwEKnDiRMn\n+OyzzwgPD+eTTz5h/PjxREZG0r59e9asWcOePXvq/OyHH35I//793T/379+fvXv3UlpayogRI0hN\nTWX8+PH8y7/8CwsXLtRgtjQ7CgeROqxbtw6A2NhYpk6dSlhYGPn5+Zw+fZr77rvPfcXQokULoOYV\nxMCBA9m5c6f75507d9KrVy9CQ0Np0aIFTzzxBHv37sVut5Odnc3GjRt9+JuJ1E/hIHLZlZP77t27\nmTVrFrNnzyYtLY0ePXrw5Zdf0qlTJ9q3b8+6devcwQEQFhZG586da4RBSkoKb731Fu+//z4HDhxg\n4cKF3HPPPQA4nU727t3LpUuXCAkJISgoSN1K0vwYImJ069bNaNu2rREaGmqEh4cbNpvNWL16tfv1\nvLw8Y8CAAUanTp2MBx980Jg2bZoxduxY9+uvvPKK0bNnT6NDhw5GUVGRUVlZabz99tvGr371K6Nn\nz57GK6+8Ypw7d84wDMN46623jMjISCMkJMSIjY015syZ4/PfV6Q+FsPwzs3Zqamp2O12OnfuzN69\ne93tr7/+Os8//zxBQUH867/+KwsWLAAgMzOTrKwsWrVqxX/913/xi1/8whtliYhIA3gtHAoLCwkJ\nCWHcuHHucPj444/53e9+xxtvvEH37t05ceIEN910E8ePH2fw4ME4HA4OHTrE5MmT2b17tzfKEhGR\nBmjprQ0PGjSIw4cP12jbuHEjEyZMoHv37gDcdNNNABQVFZGcnIzVasVqtWIYBqWlpeqHFRHxE58O\nSDscDj7++GPuuOMOHnvsMT799FMAXC4X0dHR7vdFRkbicrl8WZqIiFTj03CoqKjg5MmTFBYWkpKS\nwpNPPgnUPonIYrH4sjQREanGa91KtUlMTMRms9G2bVtGjhzJ448/TkVFBQkJCWzevNn9vs8++4y4\nuDjT52+//XZKSkp8WbKISMCLiIhwL/fSUD69crjzzjvZuHEjhmFQVFREREQEbdq0IT4+ntzcXI4c\nOYLT6azzvu+SkhIMwwjYr2eeecbvNah+/9eh+gPvK5BrNwzDoz+qvXblMGbMGPLz8/nuu+8IDw/n\n2WefZdy4cTgcDmJiYoiKiuLFF18EoEuXLkycOJEhQ4bQunVrli5d6q2yRESkAbwWDm+99Vat7UuW\nLKm1fdKkSUyaNMlb5YiISCNo+Qwfstls/i7hqqh+/1L9/hPItXvKa5PgvMFisRBA5YqINAuenDt1\n5SAiIiYKBxERMVE4iIiIicJBRERMFA4iImKicBAREROFg4iImCgcRETEROEgIiImCgcRETFROIiI\niInCQURETBQOIiJionAQEREThYOIiJgoHERExMRrjwkNVHZ7AZmZDs6fb0lw8EXS04czYsRgf5cl\nIuJTCodq7PYCJk3KpaTkOXdbSckMAAWEiFxX1K1UTWamo0YwAJSUPEdWVp6fKhIR8Q+FQzXnz9d+\nIVVR0cLHlYiI+JfCoZozZ47X2t6mzSUfVyIi4l9eC4fU1FS6dOlCr169TK+98MILBAUFcfLkSXdb\nZmYm3bt3JyYmhm3btnmrrDrZ7QV89dV5YEaN9q5dJ5OWNszn9YiI+JPXwmH8+PFs2rTJ1H706FHy\n8vK47bbb3G3Hjx9n8eLFbNmyhezsbNLT071VVp0yMx18/fVrQBIwC8gAZnHzzaUajBaR647XwmHQ\noEF07NjR1D5lyhSef/75Gm1FRUUkJydjtVr55S9/iWEYlJaWequ0Wv0w3jAYmENVOMzhxhvDfFqH\niEhz4NMxh3fffZewsDB69+5do93lchEdHe3+OTIyEpfL5cvSCA6+WGu7xhtE5Hrks3kOZWVlzJs3\nj7y8H24LNQyjxn+rs1gstW4nIyPD/b3NZsNmszVJfenpwykpmVHjVtaIiOmkpSU3yfZFRHzF6XTi\ndDqvahsWo7YzcxM5fPgwI0eOZO/evezdu5ehQ4fSrl07AI4dO8att95KUVERLpeLzZs3s2jRIgD6\n9u1LYWEhoaGhNYu1WGoNkqZitxeQlZVHRUUL2rS5RFraMI03iEjA8+Tc6bMrh169evHNN9+4f/7Z\nz37Grl27+MlPfkJ8fDzTpk3jyJEjHDx4kKCgIFMw+MKIEYMVBiIieHHMYcyYMQwYMIDPP/+c8PBw\nXn/99RqvV+826tKlCxMnTmTIkCH84Q9/cF9BiIiIf3i1W6mpebtbSUTkWuTJuVMzpEVExEThICIi\nJgoHERExUTiIiIiJwkFEREwUDiIiYqJwEBEREz1DugHs9gIyMx2cP9+S4OCLpKcP10xqEbmmaRJc\nPez2AiZNyq22IF8Bbdv+hYiIm7nllhAFhYg0e816baVAlZnpqBEMkEt5+Wo+/hg+/hhKSqqeHKeA\nEJFricYc6vHDQ4AAHMBzNV4vKXmOrKw8RESuJQqHetR8CFDtF1oVFS18U4yIiI8oHOqRnj6ciIgZ\nl3/S0+JE5PqgMYd6XBlLyMqaxbFjJzh48PeUly9xv66nxYnItUh3KzWSnhYnIoHGk3OnwkFE5Bqn\n5zmIiEiTUDiIiIiJBqS9SMtuiEigUjh4iXnZDc2mFpHAoW4lL6m57EYVzaYWkUChcPCSmstu/ECz\nqUUkEKhbqREaM4ZQc9mNH2g2tYgEAq9dOaSmptKlSxd69erlbps2bRrR0dH069ePp556ivLycvdr\nmZmZdO/enZiYGLZt2+atsjx2ZQzB4ZhLfn4GDsdcJk3KxW4vqPX9NZfdqFI1m3qYL8oVEbkqXpsE\nV1hYSEhICOPGjWPv3r0A5OXl8atf/QqAxx9/nMTERCZMmMDx48cZPHgwDoeDQ4cOMXnyZHbv3m0u\n1o+T4JKSZuJwzK2lfRabNs2p9TOaTS0izUGzep7DoEGDOHz4cI22YcN++Ks5KSmJdevWMWHCBIqK\nikhOTsZqtWK1WjEMg9LSUkJDQ71VXqN5MoYwYsRghYGIBCS/DUi/+uqrjBw5EgCXy0V0dLT7tcjI\nSFwul79Kq5XGEETkeuKXAelnn32W0NBQ7r//foBaL3csFkutn83IyHB/b7PZsNls3ijRJD19OCUl\nM2rcnqoVWUWkOXI6nTidzqvahlcX3jt8+DAjR450jzkALFu2jFdffZUtW7bQpk0bAN577z02b97M\nokWLAOjbty+FhYWmbiV/L7ynMQQRCUTNasyhNps2bWLhwoUUFBS4gwEgPj6eadOmceTIEQ4ePEhQ\nUFCzGm+4QmMIInK98Fo4jBkzhvz8fL799lvCw8OZPXs28+fP58KFCwwdOhSAO++8k8WLF9OlSxcm\nTpzIkCFDaN26NUuXLvVWWSIi0gB6noOIyDVOz3MQEZEmoXAQEREThYOIiJgoHERExEThICIiJgoH\nERExUTiIiIiJwkFEREwUDiIiYqJwEBEREz1DuhlrzDOrRUSaksKhmbryzOrqz48oKal6JrUCQkS8\nTd1KzVRmpqNGMACUlDxHVlaenyoSkeuJrhx8rKFdRZ48s1pEpKkoHHyotq6ivLzHaNduAT163Myc\nOeOAqquGPXsO1LoNPbNaRHxB4eBDtXUVGcZfOXduFsXFlTzyyMu0adONr79+EVgM/B5Y4n5vy5aP\nk5jYx6c1i8j1SeHgQ3V1FUELYA6nTj0AvHi57UvgIWDW5dcvcfHiw2zfrjEHEfE+hYMPBQdfrOOV\nK11Fbau1tQQGX/76QUXF+01fmIjIj+huJR9KTx9ORMSMH7VOB4Zd/r68WnvtQaIxBxHxBYWDD40Y\nMZhFi5Lo1+8JWrV6hKouo2Sqrg6m06HD93TtOuXyu4cDNYMkImI6aWnDEBHxNovR2KdO+5EnD8lu\nruz2Av7859UcOnQWuEC3bje471bKysqjoqIFZ84cw2IJJjT0Jtq0uURa2jBNgBORRvPk3FlnOPzt\nb39zb9BisZhev/feez2r8ipcS+EgIuIrnpw76xyQfu+997BYLJw6dYpNmzaRkJCAxWJh+/bt/PrX\nv/ZLOIiIiG/UOeawbNkyXn/9dcrKyti1axdOp5OtW7eye/duzp07V++GU1NT6dKlC7169XK3lZaW\nkpKSgtVqZfTo0Zw9e9b9WmZmJt27dycmJoZt27Zd5a8VuOz2ApKSZmKzZZCUNBO7vcDfJYnIdaje\nAemvvvqKsLAw98+33norX331Vb0bHj9+PJs2barRlp2djdVqZf/+/YSFhbFkSdUEr+PHj7N48WK2\nbNlCdnY26enpjf09rglXZlA7HHPJz8/A4ZjLpEm5CggR8bl65zn87ne/Izk5md/85jcYhsHatWv5\n93//93o3PGjQIA4fPlyjzeVyMXPmTIKDg0lNTWX+/PkAFBUVkZycjNVqxWq1YhgGpaWlhIaGevZb\nBagfZlAXAA6gJSUlFmbNekMD0SLiU/VeOaSlpfHKK69QXl7O+fPnycrK4sknn/RoZzt27CAqKgqA\nqKgoXC4XUBUO0dHR7vdFRka6X7ueVM2gLgBygblABjCXffta6epBRHyqQTOk+/XrR79+/a56Z40Z\nLa/tDimAjIwM9/c2mw2bzXaVVTUfVTOoHUDN9ZcqKrLJypqlqwcRaRCn04nT6byqbdQbDh999BEL\nFizA4XBw6tQpKisrCQkJ4cyZM43eWVxcHPv27SM2NpZ9+/YRFxcHQEJCAps3b3a/77PPPnO/9mPV\nw+Fak54+nIKCv1JRYX5NS3WLSEP9+A/n2bNnN3ob9XYrzZkzh0mTJhEeHs4333zDvHnzmDp1aqN3\nBFUhkJOTQ3l5OTk5OSQmJgIQHx9Pbm4uR44cwel0EhQUdN2NN0DVDOro6JBaX6tt2Qzd2SQiXmPU\nIzY21jAMw+jfv79RXl5uVFZWGj179qzvY8aDDz5o3HzzzUbr1q2NsLAwIycnxzhz5owxatQoIzw8\n3EhJSTFKS0vd73/55ZeNiIgIIzo62igoKKh1mw0oN+CtX59vRERMN8Bwf0VE/D9j/fr8Brxvuul9\nIiKenDvrXT5j8ODB5OXl8ec//5lvv/2W2267jW3btuFwOHyTXtVcLzOk7fYC9xIadS2bkZQ0E4dj\nrumzSUmz2LRpjq9KFZEA0KQzpK944403qKysJCMjg9WrV/PFF1+Qk5PjcZFSvxEjBtc7+KzHiIqI\nN9UbDt26dXN//2//9m9eLEUao65nQ2hJbxFpCnWGQ/VlL37MYrGwZ88erxQkDZOePpySkhk1Hjta\ntaR3sh+rEpFrxT9deA9g+fLlHDlyhLFjxwKwcuVKwsPDfVOd1OlKt1NW1qxqYxPJmgshIk2i3gHp\nnj178ve//51WrVoB8P333xMbG8vHH3/skwKru14GpEVEmpIn58565zlERUXxzjvvYBgGhmHw7rvv\nEhkZ6XGRIiLS/NV75fCPf/yDadOmsXv3bgD69+/PwoUL6dGjh08KrE5XDiIijdekT4L7sQsXLgDQ\nunXrxlfWRBQOIiKN16TzHFasWMHYsWN54YUXaiyCZ1x+bOiUKVM8r1R8xm4vIDPTwfnzLQkOvkh6\n+nANWotIveoMh7KyMqDq6W21hYM0f1ceHlT9dteSkhkACggR+aca3K3UHKhbqXG0xIaIgJfuVvrj\nH//oXp77gQceIDIykvXr13tWofiUltgQEU/VGw65ubnceOONbNq0CYvFwtatW/nP//xPX9QmV0lL\nbIiIp+oNhyt3J/33f/8348eP55ZbbuHUqVNeL0yuXnr6cCIiZtRoq1piY5ifKhKRQFHvwnsPPfQQ\nUVFRdOnShaSkJI4fP05wcLAvapOrpCU2RMRTDRqQLisro127dgCcO3eO0tJSunbt6vXifkwD0iIi\njee1SXDHjh3jgw8+oOLyw40tFgvjxo3zrMqroHAQEWk8rzzsZ8aMGaxbt44BAwbUmB3tj3AQERHf\nqPfKISYmhuLi4mYxzqArBxGRxvPKPIfevXtz+PBhT2sSEZEAVG+30okTJ+jVqxfx8fF07NgRqEqh\ndevWeb04ERHxj3rDYdasWaY2ra0kInJta9DdShcuXGD79u0MHjyYsrIyLl68yI033uiL+mrQmIOI\nSON5Zczh7bffJjExkfHjxwNVt7Xec889nlV42auvvsqAAQPo378/Tz31FFC1+mtKSgpWq5XRo0dz\n9uzZq9qHiIh4rt5wWLx4MYWFhe4rhR49enD8+HGPd3jy5EnmzZtHXl4eO3bs4PPPPyc3N5fs7Gys\nViv79+8nLCyMJUuWeLwP8R+7vYCkpJnYbBkkJc3Ebi/wd0ki4oF6xxwsFot7djRUDVD/9Kc/9XiH\nbdu2xTAMTp8+DVTNvu7QoQMul4uZM2cSHBxMamoq8+fP93gf4h96foTItaPeK4ff/va3TJ06lbKy\nMpYvX86DDz7I2LFjPd5h27Ztyc7Oplu3bnTt2pWBAweSkJDAjh07iIqKAiAqKgqXy+XxPsQ/MjMd\nNYIBoKTkObKy8vxUkYh4qt4rh8cee4z8/HwuXLiAy+Xi2WefZeDAgR7v8MSJE0ycOJFPP/2Ujh07\ncv/997N+/foGD5ZkZGS4v7fZbNhsNo9rkaal50eINA9OpxOn03lV22hQt9Idd9zBHXfcQUhIyFXt\nDMDlcpGYmMjtt98OwP33309hYSFxcXHs27eP2NhY9u3bR1xcXK2frx4O0rzo+REizcOP/3CePXt2\no7dRZ7eSYRi8/PLL3HLLLdx000106tSJsLAwFi1adFW3kw4aNIidO3dy8uRJzp8/z8aNGxk+fDgJ\nCQnk5ORQXl5OTk4OiYmJHu9D/EPPjxC5dtR55fD666+zevVq/vKXvzBs2DAMw8DhcPDiiy8SGhpK\namqqRzu88cYbmTlzJvfccw9lZWUkJydz1113ER8fzyOPPEJkZCT9+vVjwYIFHv9S4h96foTItaPO\nSXBxcXHMnTuXpKSkGu2bN2/m6aefZufOnT4psDpNghMRabwmnQR3+vRphg4damq/6667OHPmTOOr\nExGRgFFnONxwww20aGG+y6RFixbccMMNXi1KRET8q85upRYtWtSY/FZdeXk5Fy/WfmeKN6lbSUSk\n8Zr0SXCXLun2QxGR61W9M6RFROT6o3AQEREThYOIiJgoHERExEThICIiJgoHERExUTiIiIiJwkFE\nREwUDiIiYqJwEBERE4WDiIiYKBxERMRE4SAiIiYKBxERMVE4iIiIicJBRERMFA4iImKicBAREROF\ng4iImPglHM6dO8ejjz5Kjx49iImJoaioiNLSUlJSUrBarYwePZqzZ8/6ozQREcFP4fDMM89gtVrZ\ns2cPe/bsISoqiuzsbKxWK/v37ycsLIwlS5b4ozQREcFP4bB582amT59OmzZtaNmyJe3bt8flcjFh\nwgSCg4NJTU2lqKjIH6WJiAh+CIdjx45RUVHBxIkTSUhIYMGCBZSXl7Njxw6ioqIAiIqKwuVy+bo0\nERG5rKWvd1hRUcHnn3/OwoULGTp0KI8//jj/8z//g2EYDfp8RkaG+3ubzYbNZvNOoSIiAcrpdOJ0\nOq9qGxajoWflJhQdHc2+ffsA2LhxI2+88QYXLlxg5syZxMbGsmvXLubPn8+aNWtqFmuxNDhERESk\niifnTr+MOXTv3p2ioiIqKyux2+0MHTqUhIQEcnJyKC8vJycnh8TERH+UJiIi+OnK4fPPP2fcuHFU\nVFQwdOhQZs+eTWVlJY888gjFxcX069ePlStXEhISUrNYXTmIiDSaJ+dOv4SDpxQOIiKNFzDdSiIi\n0rwpHERExEThICIiJgoHERExUTiIiIiJwkFEREwUDiIiYqJwEBERE4WDiIiYKBxERMRE4SAiIiYK\nBxERMVE4iIiIicJBRERMFA4iImKicBAREROFg4iImCgcRETEROEgIiImCgcRETFROIiIiInCQURE\nTBQOIiJi4rdwuHTpErGxsYwcORKA0tJSUlJSsFqtjB49mrNnz/qrNBGR657fwmHRokXExMRgsVgA\nyM7Oxmq1sn//fsLCwliyZIm/ShMRue75JRyOHTvGhg0beOyxxzAMAwCXy8WECRMIDg4mNTWVoqIi\nf5QmIiL4KRwmT57MwoULCQr6Yfc7duwgKioKgKioKFwulz9KExERoKWvd7h+/Xo6d+5MbGwsTqfT\n3X7lCqI+GRkZ7u9tNhs2m61pCxQRCXBOp7PG+dUTFqOhZ+UmMn36dFasWEHLli2pqKjgzJkz3Hvv\nvZSVlTFz5kxiY2PZtWsX8+fPZ82aNTWLtVgaHCIiIlLFk3Onz7uV5s2bx9GjRzl06BCrVq1iyJAh\nrFixgoSEBHJycigvLycnJ4fExERflyYiIpf5fZ7DlbuVJk6cyJEjR4iMjOSLL77g97//vZ8rExG5\nfvm8W+lqqFtJpHmw2wvIzHRw/nxLgoMvkp4+nBEjBvu7LKmDJ+dOnw9Ii0hgs9sLmDQpl5KS59xt\nJSUzABQQ1xC/dyuJSGDJzHTUCAaAkpLnyMrK81NF4g0KBxFplPPna+9wqKho4eNKxJsUDiLSKMHB\nF2ttb9Pmko8rEW9SOIhIo6SnDyciYkaNtoiI6aSlDfNTReINultJRBrNbi8gKyuPiooWtGlzibS0\nYRqMbsY8OXcqHERErnG6lVVErimaT+E/CgcRaRRfnbA1n8K/FA4i0mC+PGHXNZ/i0UcfYPlyBYS3\n6W4lEWkwX06Aq2s+xXffRTNpUi52e0GT71N+oHAQkQbz5QS4uuZTwCXNyPYBhYOINJgvJ8Ddeect\ntG3749WZpwNV8yk0I9u7NOYgIg2Wnj6ckpIZNbqWqibAJTfpfuz2Alau/ILy8oeAB4Bo4BKQDFSN\nNVxtIOlOqH9O4SAiDXbl5JmVNavaBLhkHwxG5wJNF0i6E6p+mgQnIs2OzZZBfn5GtZYCII/27Y+S\nmBh+1TOyk5Jm4nDMraV9Fps2zfF4u82VJsGJyDXBPLYxGBhMYmLTnLy1smz9NCAtIs2Otxf308qy\n9dOVg4g0O94e2/DVwHog05iDiFyXrqeVZbUqq4iImHhy7tSYg4iImPg8HI4ePcpdd91Fz549sdls\nvPnmmwCUlpaSkpKC1Wpl9OjRnD171teliYjIZT4Ph1atWvHSSy/xySefsGbNGmbOnElpaSnZ2dlY\nrVb2799PWFgYS5Ys8XVpXud0Ov1dwlVR/f6l+v2nOdVutxeQlDQTmy2DpKSZXluA0Ofh0LVrV/r2\n7QtAp06d6NmzJzt27MDlcjFhwgSCg4NJTU2lqKjI16V5XXP6B+YJ1e9fqt9/mkvtV2Z2Oxxzyc/P\nwOGY67UVav065nDgwAE++eQT4uPj2bFjB1FRUQBERUXhcrn8WZqISLPjyyXT/RYOpaWlPPDAA7z0\n0kuEhIToLiQRkXr4dGa34QcXLlwwhg0bZrz00kvutnvvvdfYvXu3YRiGsXPnTuO+++4zfS4iIsIA\n9KUvfelLX434ioiIaPR52uczpA3DYMKECfz85z/nqaeecrcnJCSQk5PD888/T05ODomJiabPHjhw\nwJeliohct3w+CW7btm0MHjyY3r17Y7FYAJg/fz4DBw7kkUceobi4mH79+rFy5UpCQkJ8WZqIiFwW\nUDOkRUTENwJmhnS3bt3o3bs3sbGxxMfH+7uceqWmptKlSxd69erlbgukiX611Z+RkUFYWBixsbHE\nxsayadMmP1ZYt0CfaFlX/YFy/CsqKkhISKBv374kJiby0ksvAYFz/OuqP1COP8ClS5eIjY1l5MiR\ngGfHPmDCwWKx4HQ6KS4uDojbXMePH2/6xxNIE/1qq99isTBlyhSKi4spLi4mObl5rmAZ6BMt66o/\nUI5/mzZt2Lp1K3//+9/Jz8/ntddeY//+/QFz/OuqP1COP8CiRYuIiYlxd917cuwDJhyAgLrdddCg\nQXTs2LFGWyBN9KutfgiM/weBPtGyrvohMI4/QLt27QA4e/YsFy9eJDg4OGCOP9RePwTG8T927Bgb\nNmzgsccec9frybEPmHCwWCwMGTKE0aNHs27dOn+X45FrYaJfVlYWiYmJLFiwgNLSUn+XU69An2h5\npf6EhAQgcI5/ZWUlffr0oUuXLjz55JNYrdaAOv611Q+BcfwnT57MwoULCQr64fTuybEPmHD44IMP\n+Oijj5g/fz5Tpkzh66+/9ndJjRYIf3X8MxMnTuTQoUPk5uZSUlLC0qVL/V3SPxXoEy2r13/DDTcE\n1PEPCgrio48+4sCBAyxevJji4uKAOv611R8Ix3/9+vV07tyZ2NjYGsfbk2MfMOFw8803AxAdHc2o\nUaN4770cptuBAAAFaElEQVT3/FxR48XFxbFv3z4A9u3bR1xcnJ8rapzOnTtjsVho3749TzzxBGvX\nrvV3SXX6/vvvue+++xg7diwpKSlAYB3/2uoPpON/Rbdu3bj77rspKioKqON/RfX6A+H4f/jhh6xb\nt46f/exnjBkzhvfff5+xY8d6dOwDIhzKysrcl3AnTpwgNze3WQ8G1eXKRL/y8vI6J/o1Z1999RUA\nFy9e5M033+Tuu+/2c0W1q2+iZXM//nXVHyjH/9tvv+XUqVMAfPfddzgcDlJSUgLm+NdVfyAc/3nz\n5nH06FEOHTrEqlWrGDJkCCtWrPDs2Dd6TrUfHDx40OjTp4/Rp08fY8iQIcZrr73m75Lq9eCDDxo3\n33yz0bp1ayMsLMzIyckxzpw5Y4waNcoIDw83UlJSjNLSUn+XWacr9bdq1coICwszXnvtNWPs2LFG\nr169jP79+xuTJ082vvvuO3+XWavCwkLDYrEYffr0Mfr27Wv07dvX2LhxY8Ac/9rq37BhQ8Ac/z17\n9hixsbFG7969jeHDhxvLly83DMMImONfV/2BcvyvcDqdxsiRIw3D8OzYaxKciIiYBES3koiI+JbC\nQURETBQOIiJionAQEREThYOIiJgoHERExEThINeNIUOG4HA4arS9/PLL/OEPf6j1/TabjV27djV6\nP++99x4LFiyo9bXGPsAqIyODF154odE1iFwthYNcN8aMGcOqVatqtK1evZqHHnqo1vdbLBb3kseN\nMXLkSP70pz/Vuc3G8GT/Ik1B4SDXjfvuuw+73c7FixcBOHz4MF9++SVt2rRh3LhxJCQk8PTTT3P+\n/HnTZ7ds2cKIESMYOHAgf/3rX93tRUVFPPzww/Tp04dhw4YBsGzZMtLS0gD48ssvmTBhAlFRUcyb\nN8/9ubNnzzJ06FD69evH3XffTX5+vvu1t956i379+vGLX/yCI0eOeOVYiNRH4SDXjZ/85CfEx8ez\nYcMGAFatWsVvf/tb/vjHP5KVlUVRURGGYfDOO+/U+FxlZSWPP/44ixYtYv369bz66qvuRcweffRR\npkyZwkcffcT//u//AjX/2v+P//gPoqKi2LdvHxUVFe72tm3bsnbtWnbv3s2SJUvIyMgAqtb1eeaZ\nZ9iwYQNvvvkmubm5unoQv2jp7wJEfOlK19KoUaNYvXo1r732GsuWLcNmswFw4cIFzp49ywMPPOD+\nzPbt24mOjub2228H4De/+Q3r1q3j3Llz3HbbbfTv3x+ADh06mPaXm5vLhx9+iMViITU11f3IyRYt\nWrBo0SI2bNjAuXPnOHjwIKdOnXIvKtm1a1cAhg4dGlBLXcu1Q+Eg15VRo0YxefJkiouLKSsr49Kl\nS/z85z9n69atdX7mx3+5G4aBxWJp8Em7tvc5nU4KCwvJzc3lhhtuoHPnzpw+fbpR2xXxJnUryXUl\nJCSEu+66i/Hjx/PQQw8RFxfHN998w/bt2wE4d+4c+/fvr/GZxMREPvvsM0pKSvi///s/1q5dy6hR\no4iLi+Pw4cPs3LkTgJMnTwI1wyA5OZnly5dTWVnJsmXL3O1ffPEFt956K6GhoaxatYqTJ09isVhI\nSkrC4XDwzTffcPToUbZs2aJuJfELhYNcd8aMGcPevXsZM2YMACtWrCA7O5vevXszYMAA/vGPf9R4\nv8ViYenSpaSlpTFixAj3APOVzy5cuJDevXu7t1f9Lqenn36aTz/9lJiYGIKDg93to0eP5tSpU0RH\nR7Nt2zZiYmIA+OlPf8rs2bP59a9/zZgxY0hKSvLJMRH5MS3ZLSIiJrpyEBERE4WDiIiYKBxERMRE\n4SAiIiYKBxERMVE4iIiIicJBRERMFA4iImLy/wG/uatqFRgvBgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10ddacd90>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ahora se despliega la tabla de resumen del modelo ajustado, as\u00ed como la tabla de an\u00e1lisis de varianza. La funci\u00f3n propia \"util.anova_JSB\" simplemente agrega un poco de formato a la tabla que entrega \"anova_lm(fitted)\". "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print fitted.summary()\n",
"util.anova_JSB(fitted)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: densidad R-squared: 0.944\n",
"Model: OLS Adj. R-squared: 0.941\n",
"Method: Least Squares F-statistic: 369.6\n",
"Date: Fri, 21 Feb 2014 Prob (F-statistic): 3.04e-15\n",
"Time: 20:23:03 Log-Likelihood: -88.376\n",
"No. Observations: 24 AIC: 180.8\n",
"Df Residuals: 22 BIC: 183.1\n",
"Df Model: 1 \n",
"==============================================================================\n",
" coef std err t P>|t| [95.0% Conf. Int.]\n",
"------------------------------------------------------------------------------\n",
"Intercept 153.3443 3.987 38.462 0.000 145.076 161.613\n",
"vel -3.8926 0.202 -19.224 0.000 -4.313 -3.473\n",
"==============================================================================\n",
"Omnibus: 3.137 Durbin-Watson: 1.528\n",
"Prob(Omnibus): 0.208 Jarque-Bera (JB): 2.666\n",
"Skew: 0.781 Prob(JB): 0.264\n",
"Kurtosis: 2.523 Cond. No. 38.4\n",
"==============================================================================\n",
"\n",
" ANOVA\n",
"==============================================================================\n",
" df sum_sq mean_sq F PR(>F)\n",
"vel 1 37276.267694 37276.267694 369.565825 3.041427e-15\n",
"Residual 22 2219.030639 100.865029 NaN NaN\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Se despliegan cuatro gr\u00e1ficas de an\u00e1lisis de residuales utilizando la funci\u00f3n propia \"uil.influenceG\" que simplemente despliega las cuatro gr\u00e1ficas en un solo comando. De otro modo se debe generar las gr\u00e1ficas una por una. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"util.influenceG(fitted)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEZCAYAAACEkhK6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYBARkUFYMIiIyCAsGEREZJD/B8d3kBdfqCk+AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10ddddb10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEZCAYAAACJjGL9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x10e234dd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAEZCAYAAAB8culNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nciAiIhX/D+EwH3nB/3f4AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10e42ca90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAEZCAYAAABWwhjiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10e20f910>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ahora se crea y se ajusta un modelo que pretende explicar la densidad como funci\u00f3n de $\\sqrt{\\textrm{velocidad}}$ en lugar de simplemente la velocidad. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model = sm.ols(formula = 'densidad ~ raiz', data = dat)\n",
"fitted = model.fit()\n",
"\n",
"print fitted.summary()\n",
"util.anova_JSB(fitted)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: densidad R-squared: 0.969\n",
"Model: OLS Adj. R-squared: 0.967\n",
"Method: Least Squares F-statistic: 680.9\n",
"Date: Fri, 21 Feb 2014 Prob (F-statistic): 4.82e-18\n",
"Time: 20:23:07 Log-Likelihood: -81.356\n",
"No. Observations: 24 AIC: 166.7\n",
"Df Residuals: 22 BIC: 169.1\n",
"Df Model: 1 \n",
"==============================================================================\n",
" coef std err t P>|t| [95.0% Conf. Int.]\n",
"------------------------------------------------------------------------------\n",
"Intercept 225.2832 5.494 41.008 0.000 213.890 236.676\n",
"raiz -34.8825 1.337 -26.093 0.000 -37.655 -32.110\n",
"==============================================================================\n",
"Omnibus: 2.607 Durbin-Watson: 1.493\n",
"Prob(Omnibus): 0.272 Jarque-Bera (JB): 2.233\n",
"Skew: 0.698 Prob(JB): 0.327\n",
"Kurtosis: 2.464 Cond. No. 15.6\n",
"==============================================================================\n",
"\n",
" ANOVA\n",
"==============================================================================\n",
" df sum_sq mean_sq F PR(>F)\n",
"raiz 1 38259.053893 38259.053893 680.851746 4.822435e-18\n",
"Residual 22 1236.244441 56.192929 NaN NaN\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nuevamente, se despliegan las gr\u00e1ficas de an\u00e1lisis de resudiales para el nuevo modelo ajustado. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"util.influenceG(fitted)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEZCAYAAACEkhK6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x10e425f90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEZCAYAAACJjGL9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKFEQQgipEiUKQgghVaJEQQghpEr/B1gNlwXT0b4MAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10e23b450>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAEZCAYAAAB8culNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nXzVqjtgAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10e404810>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAEZCAYAAABWwhjiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEbUZkwgREbUZkwgREbXZ/wLyGH+RT2hzUwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10e412bd0>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment