{"id":64,"date":"2018-07-23T22:25:42","date_gmt":"2018-07-24T03:25:42","guid":{"rendered":"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/?page_id=64"},"modified":"2023-09-13T22:13:07","modified_gmt":"2023-09-14T04:13:07","slug":"datasets-para-r","status":"publish","type":"page","link":"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/?page_id=64","title":{"rendered":"Datasets para R"},"content":{"rendered":"\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-2605f714-9eeb-445f-b84b-0a9cf889c80d\" href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-I.1.txt\">Table I.1<\/a><a href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-I.1.txt\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-2605f714-9eeb-445f-b84b-0a9cf889c80d\">Descarga<\/a><\/div>\n\n\n\n<p>tI.1 &lt;- read.table(&#8220;https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-I.1.txt&#8221;, skip = 6, header = T)<\/p>\n\n\n\n<p>View(t1.2)<\/p>\n\n\n\n<p>y &lt;- t1.2[,1]<\/p>\n\n\n\n<p>x &lt;- t1.2[,2]<\/p>\n\n\n\n<p>modelo1.2 &lt;- lm(y~x)<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-d1644146-9522-4ac6-a17c-86df51be49c8\" href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table2.1.txt\">Table2.1<\/a><a href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table2.1.txt\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-d1644146-9522-4ac6-a17c-86df51be49c8\">Descarga<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-c9493bc1-c72d-4b0e-bf1d-9541e996ef9c\" href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.2.txt\">Table 3.2<\/a><a href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.2.txt\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c9493bc1-c72d-4b0e-bf1d-9541e996ef9c\">Descarga<\/a><\/div>\n\n\n\n<p>t3.2 &lt;- read.table(&#8220;https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.2.txt&#8221;, skip = 6, header = T)<\/p>\n\n\n\n<p>View(t3.2)<\/p>\n\n\n\n<p>y &lt;- t3.2[,1]<\/p>\n\n\n\n<p>x &lt;- t3.2[,2]<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-c0789a0b-05fe-4426-97a6-7caeabfee7bc\" href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-2.7.txt\">Table 2.7<\/a><a href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-2.7.txt\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c0789a0b-05fe-4426-97a6-7caeabfee7bc\">Descarga<\/a><\/div>\n\n\n\n<p>t2.7 &lt;- read.table(&#8220;https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-2.7.txt&#8221;, skip = 9, header = T)<\/p>\n\n\n\n<p>View(t2.7)<\/p>\n\n\n\n<p>y &lt;- t2.7[,1]<\/p>\n\n\n\n<p>x1 &lt;- t2.7[,2]<\/p>\n\n\n\n<p>x2 &lt;- t2.7[,7]<\/p>\n\n\n\n<p>modelo2.7 &lt;- lm(y~x1 + x2)<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-2df846b6-39c3-49a4-a98e-54e08df2035e\" href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-2.8.txt\">Table 2.8<\/a><a href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-2.8.txt\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-2df846b6-39c3-49a4-a98e-54e08df2035e\">Descarga<\/a><\/div>\n\n\n\n<p>t3.5.5 &lt;- read.table(\u201chttps:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.5.5.txt\u201d, skip = 6, header = T)<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-6b52343d-a8d6-40c8-8404-c1e78f6f0c4a\" href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.5.5.txt\">Table 3.5.5<\/a><a href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.5.5.txt\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-6b52343d-a8d6-40c8-8404-c1e78f6f0c4a\">Descarga<\/a><\/div>\n\n\n\n<p>t3.5.5 &lt;- read.table(\u201chttps:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.5.5.txt\u201d, skip = 6, header = T)<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-d50f0826-a432-4502-9480-94e4964285a0\" href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.6.txt\">Table 3.6<\/a><a href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.6.txt\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-d50f0826-a432-4502-9480-94e4964285a0\">Descarga<\/a><\/div>\n\n\n\n<p>t3.6 &lt;- read.table(\u201chttps:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.6.txt\u201d, skip = 8, header = T)<\/p>\n\n\n<h1 class=\"title toc-ignore\"><\/h1>\n<h1 class=\"title toc-ignore\">Introducci\u00f3n a la econometr\u00eda, Wooldridge<\/h1>\n<h4 class=\"author\">\u00a0Una\u00a0 explicaci\u00f3n antes de comenzar.<\/h4>\n<p>&nbsp;<\/p>\n<div id=\"introduction\" class=\"section level2\">\n<p>Esta p\u00e1gina contiene ejemplos de cada cap\u00edtulo de\u00a0 <em>Introducci\u00f3n a<\/em> la\u00a0<em>Econometr\u00eda :\u00a0 Un Enfoque Moderno,\u00a0 4a\u00a0 edici\u00f3n<\/em>\u00a0de Jeffrey M. Wooldridge.\u00a0 Cada ejemplo ilustra c\u00f3mo cargar los datos, construir modelos econom\u00e9tricos\u00a0 y calcular estimaciones con el programa\u00a0<strong>R<\/strong>\u00a0.<\/p>\n<p>El sitio de recursos complementario al libro proporciona conjuntos de datos disponibles p\u00fablicamente para Eviews, Excel, y el software comercial Stata,\u00a0<strong>R<\/strong>\u00a0es la opci\u00f3n de <em>software<\/em> libre.<\/p>\n<p>Adem\u00e1s, el uso de\u00a0<strong>R<\/strong>\u00a0al construir una base en el modelado econom\u00e9trico introduce uno a las herramientas de software capaces de escalar con las demandas de los m\u00e9todos modernos en computaci\u00f3n estad\u00edstica. En el\u00a0<strong>Ap\u00e9ndice <\/strong>\u00a0se citan fuentes adicionales sobre el uso de <strong>R<\/strong> para la econometr\u00eda.<\/p>\n<p>Los estudiantes nuevos tanto en econometr\u00eda como en paquete\u00a0<strong>R<\/strong>\u00a0pueden considerar que la introducci\u00f3n a ambos es compleja.\u00a0En particular, el proceso de carga y preparaci\u00f3n de datos antes de construir el primer modelo econom\u00e9trico resulta frustrante debido a que no es amigable el programa y cualquier error se constituye en una verdadera complicaci\u00f3n.\u00a0El\u00a0<code>\u00a0<\/code>paquete de datos \u00a0<code>wooldridge\u00a0<\/code>tiene como objetivo simplificar esta tarea.\u00a0Contiene el conjunto de datos de I<em>ntroducci\u00f3n a la<\/em>\u00a0<em>Econometr\u00eda :\u00a0 Un Enfoque Moderno<\/em>, que se puede cargar con una simple llamada a la\u00a0<code>funci\u00f3n data()<\/code>.<\/p>\n<p>Lo primero es\u00a0 instalar y carga el paquete\u00a0\u00a0<code>wooldridge con el comando install<\/code>. Para aquellos familiarizados con Stata saben que contiene bases de datos precargadas y con el paquete. Pero con el uso regular de libros de texto, los autores ponen disponibles los datos no s\u00f3lo en la forma regular a trav\u00e9s de archivos indivuales. Ahora tambi\u00e9n se tiene la costrumbre de instalar directamente la biblioteca completa de bases de datos, en este caso los 111 archivos indivuales es cargan directamente con un s\u00f3lo proceso.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\"><span class=\"kw\">install.packages<\/span>(<span class=\"st\">\"wooldridge\"<\/span>)<\/code><\/pre>\n<\/div>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\"><span class=\"kw\">library<\/span>(wooldridge)<\/code><\/pre>\n<\/div>\n<\/div>\n<div id=\"chapter-2-the-simple-regression-model\" class=\"section level2\">\n<h2>Cap\u00edtulo 2: El modelo de regresi\u00f3n simple<\/h2>\n<p><strong><code>Example 2.10:<\/code>\u00a0Una ecuaci\u00f3n de salario de registro<\/strong><\/p>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-1-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;mi&gt;w&lt;\/mi&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;mo&gt;&amp;#x005E;&lt;\/mo&gt;&lt;\/mover&gt;&lt;\/mrow&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;u&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"texatom\"><span id=\"MathJax-Span-4\" class=\"mrow\"><span id=\"MathJax-Span-5\" class=\"munderover\"><span id=\"MathJax-Span-6\" class=\"mrow\"><span id=\"MathJax-Span-7\" class=\"mi\">l\u00a0<\/span><span id=\"MathJax-Span-8\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-9\" class=\"mi\">g<\/span><span id=\"MathJax-Span-10\" class=\"mo\">(\u00a0<\/span><span id=\"MathJax-Span-11\" class=\"mi\">w\u00a0<\/span><span id=\"MathJax-Span-12\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-13\" class=\"mi\">g<\/span><span id=\"MathJax-Span-14\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-15\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-16\" class=\"mo\">1.<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-17\" class=\"mo\">=\u00a0<\/span><span id=\"MathJax-Span-18\" class=\"msubsup\"><span id=\"MathJax-Span-19\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-20\" class=\"mn\">0<\/span><\/span><span id=\"MathJax-Span-21\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-22\" class=\"msubsup\"><span id=\"MathJax-Span-23\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-24\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-25\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-26\" class=\"mi\">d<\/span><span id=\"MathJax-Span-27\" class=\"mi\">u\u00a0<\/span><span id=\"MathJax-Span-28\" class=\"mi\">c<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\">logramo(wungramomi)^=\u03b20+\u03b21miretudo<\/span><\/span><\/div>\n<p>Cargue los\u00a0<code>wage1<\/code>datos y revise la documentaci\u00f3n.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\"><span class=\"kw\">data<\/span>(<span class=\"st\">\"wage1\"<\/span>)\r\n?wage1<\/code><\/pre>\n<\/div>\n<p>Estos son datos de la Encuesta de Poblaci\u00f3n Actual de 1976, recopilada por Henry Farber cuando \u00e9l y Wooldridge fueron colegas en el MIT en 1988.<\/p>\n<p>Estime una relaci\u00f3n lineal entre el\u00a0<em>registro de salario<\/em>\u00a0y\u00a0<em>educaci\u00f3n<\/em>\u00a0.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">log_wage_model &lt;- <span class=\"kw\">lm<\/span>(lwage <span class=\"op\">~<\/span> educ, <span class=\"dt\">data =<\/span> wage1)<\/code><\/pre>\n<\/div>\n<p>Imprimir los resultados.\u00a0Estoy usando el\u00a0<code>stargazer<\/code>paquete para imprimir los resultados del modelo en un formato limpio y f\u00e1cil de leer.\u00a0Ver la bibliograf\u00eda para m\u00e1s informaci\u00f3n.<\/p>\n<table>\n<tbody>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><em>Variable dependiente:<\/em><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td colspan=\"1\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>lwage<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td>educ<\/td>\n<td>0.083\u00a0<sup>***<\/sup>\u00a0(0.008)<\/td>\n<\/tr>\n<tr>\n<td>Constante<\/td>\n<td>0.584\u00a0<sup>***<\/sup>\u00a0(0.097)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td>Observaciones<\/td>\n<td>526<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup><\/td>\n<td>0.186<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup>\u00a0ajustado<\/td>\n<td>0.184<\/td>\n<\/tr>\n<tr>\n<td>Residual Std.\u00a0Error<\/td>\n<td>0.480 (df = 524)<\/td>\n<\/tr>\n<tr>\n<td>Estad\u00edstica F<\/td>\n<td>119.582\u00a0<sup>***<\/sup>\u00a0(df \u200b\u200b= 1; 524)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><em>Nota:<\/em><\/td>\n<td><em>p &lt;0.1;\u00a0<strong>p &lt;0.05;\u00a0<\/strong><\/em>p &lt;0.01<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div id=\"chapter-3-multiple-regression-analysis-estimation\" class=\"section level2\">\n<h2>Cap\u00edtulo 3: An\u00e1lisis de regresi\u00f3n m\u00faltiple: estimaci\u00f3n<\/h2>\n<p><strong><code>Example 3.2:<\/code>\u00a0Ecuaci\u00f3n de salario por hora<\/strong><\/p>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-2-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;mi&gt;w&lt;\/mi&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;\/mrow&gt;&lt;mo&gt;&amp;#x005E;&lt;\/mo&gt;&lt;\/mover&gt;&lt;\/mrow&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;u&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;3&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;4&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;u&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-29\" class=\"math\"><span id=\"MathJax-Span-30\" class=\"mrow\"><span id=\"MathJax-Span-31\" class=\"texatom\"><span id=\"MathJax-Span-32\" class=\"mrow\"><span id=\"MathJax-Span-33\" class=\"munderover\"><span id=\"MathJax-Span-34\" class=\"mrow\"><span id=\"MathJax-Span-35\" class=\"mi\">l\u00a0<\/span><span id=\"MathJax-Span-36\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-37\" class=\"mi\">g<\/span><span id=\"MathJax-Span-38\" class=\"mo\">(\u00a0<\/span><span id=\"MathJax-Span-39\" class=\"mi\">w\u00a0<\/span><span id=\"MathJax-Span-40\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-41\" class=\"mi\">g<\/span><span id=\"MathJax-Span-42\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-43\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-44\" class=\"mo\">1.<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-45\" class=\"mo\">=\u00a0<\/span><span id=\"MathJax-Span-46\" class=\"msubsup\"><span id=\"MathJax-Span-47\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-48\" class=\"mn\">0<\/span><\/span><span id=\"MathJax-Span-49\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-50\" class=\"msubsup\"><span id=\"MathJax-Span-51\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-52\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-53\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-54\" class=\"mi\">d<\/span><span id=\"MathJax-Span-55\" class=\"mi\">u\u00a0<\/span><span id=\"MathJax-Span-56\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-57\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-58\" class=\"msubsup\"><span id=\"MathJax-Span-59\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-60\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-61\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-62\" class=\"mi\">x\u00a0<\/span><span id=\"MathJax-Span-63\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-64\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-65\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-66\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-67\" class=\"msubsup\"><span id=\"MathJax-Span-68\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-69\" class=\"mn\">4<\/span><\/span><span id=\"MathJax-Span-70\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-71\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-72\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-73\" class=\"mi\">u\u00a0<\/span><span id=\"MathJax-Span-74\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-75\" class=\"mi\">e<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\">logramo(wungramomi)^=\u03b20+\u03b21miretudo+\u03b23miXpagmir+\u03b24tminorteturmi<\/span><\/span><\/div>\n<p>Estime el modelo de regresi\u00f3n de la\u00a0<em>educaci\u00f3n<\/em>\u00a0, la\u00a0<em>experiencia<\/em>\u00a0y la\u00a0<em>tenencia<\/em>\u00a0contra el\u00a0<em>registro (salario)<\/em>\u00a0.\u00a0Los\u00a0<code>wage1<\/code>datos a\u00fan deber\u00edan estar en su entorno de trabajo.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">hourly_wage_model &lt;- <span class=\"kw\">lm<\/span>(lwage <span class=\"op\">~<\/span> educ <span class=\"op\">+<\/span> exper <span class=\"op\">+<\/span> tenure, <span class=\"dt\">data =<\/span> wage1)<\/code><\/pre>\n<\/div>\n<p>Imprima los coeficientes estimados del modelo:<\/p>\n<table>\n<tbody>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><em>Variable dependiente:<\/em><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td colspan=\"1\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>lwage<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td>educ<\/td>\n<td>0.092\u00a0<sup>***<\/sup>\u00a0(0.007)<\/td>\n<\/tr>\n<tr>\n<td>exper<\/td>\n<td>0.004\u00a0<sup>**<\/sup>\u00a0(0.002)<\/td>\n<\/tr>\n<tr>\n<td>tenencia<\/td>\n<td>0.022\u00a0<sup>***<\/sup>\u00a0(0.003)<\/td>\n<\/tr>\n<tr>\n<td>Constante<\/td>\n<td>0.284\u00a0<sup>***<\/sup>\u00a0(0.104)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td>Observaciones<\/td>\n<td>526<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup><\/td>\n<td>0.316<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup>\u00a0ajustado<\/td>\n<td>0.312<\/td>\n<\/tr>\n<tr>\n<td>Residual Std.\u00a0Error<\/td>\n<td>0.441 (df = 522)<\/td>\n<\/tr>\n<tr>\n<td>Estad\u00edstica F<\/td>\n<td>80.391\u00a0<sup>***<\/sup>\u00a0(df \u200b\u200b= 3; 522)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><em>Nota:<\/em><\/td>\n<td><em>p &lt;0.1;\u00a0<strong>p &lt;0.05;\u00a0<\/strong><\/em>p &lt;0.01<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div id=\"chapter-4-multiple-regression-analysis-inference\" class=\"section level2\">\n<h2>Cap\u00edtulo 4: An\u00e1lisis de regresi\u00f3n m\u00faltiple: inferencia<\/h2>\n<p><strong><code>Example 4.7<\/code>\u00a0Efecto de la capacitaci\u00f3n laboral sobre las tasas de desecho de la empresa<\/strong><\/p>\n<p>Cargue el\u00a0<code>jtrain<\/code>conjunto de datos y si est\u00e1 utilizando R Studio,\u00a0<code>View<\/code>el conjunto de datos.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\"><span class=\"kw\">data<\/span>(<span class=\"st\">\"jtrain\"<\/span>)<\/code><\/pre>\n<\/div>\n<p>De H. Holzer, R. Block, M. Cheatham y J. Knott (1993),\u00a0<em>\u00bfLos subsidios de capacitaci\u00f3n son efectivos?\u00a0The Michigan Experience<\/em>\u00a0, Industrial and Labour Relations Review 46, 625-636.\u00a0Los autores amablemente proporcionaron los datos.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">?jtrain\r\n<span class=\"kw\">View<\/span>(jtrain)<\/code><\/pre>\n<\/div>\n<p>Cree un \u00edndice l\u00f3gico, identificando qu\u00e9 observaciones ocurren en 1987 y son no-uni\u00f3n.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">index &lt;- jtrain<span class=\"op\">$<\/span>year <span class=\"op\">==<\/span> <span class=\"dv\">1987<\/span> <span class=\"op\">&amp;<\/span> jtrain<span class=\"op\">$<\/span>union <span class=\"op\">==<\/span> <span class=\"dv\">0<\/span><\/code><\/pre>\n<\/div>\n<p>A continuaci\u00f3n, subconjunta los datos de jtrain por el nuevo \u00edndice.\u00a0Esto devuelve un data.frame de\u00a0<code>jtrain<\/code>datos de empresas no sindicalizadas para el a\u00f1o 1987.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">jtrain_1987_nonunion &lt;- jtrain[index, ]<\/code><\/pre>\n<\/div>\n<p>Ahora cree el modelo lineal regresivo\u00a0<code>hrsemp<\/code>(horas totales de capacitaci\u00f3n \/ total de empleados capacitados), el\u00a0<code>lsales<\/code>(registro de ventas anuales) y\u00a0<code>lemploy<\/code>(el registro del n\u00famero de empleados), en contra\u00a0<code>lscrap<\/code>(el registro de la tasa de raspado).<\/p>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-3-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mi&gt;&amp;#x03B1;&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;h&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;3&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-76\" class=\"math\"><span id=\"MathJax-Span-77\" class=\"mrow\"><span id=\"MathJax-Span-78\" class=\"mi\">l\u00a0<\/span><span id=\"MathJax-Span-79\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-80\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-81\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-82\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-83\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-84\" class=\"mo\">=\u00a0<\/span><span id=\"MathJax-Span-85\" class=\"mi\">\u03b1\u00a0<\/span><span id=\"MathJax-Span-86\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-87\" class=\"msubsup\"><span id=\"MathJax-Span-88\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-89\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-90\" class=\"mi\">h\u00a0<\/span><span id=\"MathJax-Span-91\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-92\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-93\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-94\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-95\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-96\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-97\" class=\"msubsup\"><span id=\"MathJax-Span-98\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-99\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-100\" class=\"mi\">l\u00a0<\/span><span id=\"MathJax-Span-101\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-102\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-103\" class=\"mi\">l\u00a0<\/span><span id=\"MathJax-Span-104\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-105\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-106\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-107\" class=\"msubsup\"><span id=\"MathJax-Span-108\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-109\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-110\" class=\"mi\">l\u00a0<\/span><span id=\"MathJax-Span-111\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-112\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-113\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-114\" class=\"mi\">l\u00a0<\/span><span id=\"MathJax-Span-115\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-116\" class=\"mi\">y<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\">lsdorunpag=\u03b1+\u03b21hrsmimetropag+\u03b22lsunlmis+\u03b23lmimetropagloy<\/span><\/span><\/div>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">linear_model &lt;- <span class=\"kw\">lm<\/span>(lscrap <span class=\"op\">~<\/span> hrsemp <span class=\"op\">+<\/span> lsales <span class=\"op\">+<\/span> lemploy, <span class=\"dt\">data =<\/span> jtrain_1987_nonunion)<\/code><\/pre>\n<\/div>\n<p>Finalmente, imprima el diagn\u00f3stico estad\u00edstico de resumen completo del modelo.<\/p>\n<table>\n<tbody>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><em>Variable dependiente:<\/em><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td colspan=\"1\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>lscrap<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td>hrsemp<\/td>\n<td>-0.029 (0.023)<\/td>\n<\/tr>\n<tr>\n<td>lsales<\/td>\n<td>-0,962\u00a0<sup>**<\/sup>\u00a0(0,453)<\/td>\n<\/tr>\n<tr>\n<td>lemploy<\/td>\n<td>0,761\u00a0<sup>*<\/sup>\u00a0(0,407)<\/td>\n<\/tr>\n<tr>\n<td>Constante<\/td>\n<td>12.458\u00a0<sup>**<\/sup>\u00a0(5.687)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td>Observaciones<\/td>\n<td>29<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup><\/td>\n<td>0.262<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup>\u00a0ajustado<\/td>\n<td>0.174<\/td>\n<\/tr>\n<tr>\n<td>Residual Std.\u00a0Error<\/td>\n<td>1.376 (df = 25)<\/td>\n<\/tr>\n<tr>\n<td>Estad\u00edstica F<\/td>\n<td>2.965\u00a0<sup>*<\/sup>\u00a0(df \u200b\u200b= 3; 25)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><em>Nota:<\/em><\/td>\n<td><em>p &lt;0.1;\u00a0<strong>p &lt;0.05;\u00a0<\/strong><\/em>p &lt;0.01<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div id=\"chapter-5-multiple-regression-analysis-ols-asymptotics\" class=\"section level2\">\n<h2>Cap\u00edtulo 5: An\u00e1lisis de regresi\u00f3n m\u00faltiple: Asint\u00f3ticos OLS<\/h2>\n<p><strong><code>Example 5.3:<\/code>\u00a0Modelo econ\u00f3mico del crimen<\/strong><\/p>\n<p>De J. Grogger (1991),\u00a0<em>Certeza vs. Severidad de castigo<\/em>\u00a0, Economic Inquiry 29, 297-309.\u00a0El profesor Grogger amablemente proporcion\u00f3 un subconjunto de los datos que utiliz\u00f3 en su art\u00edculo.<\/p>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-4-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;3&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;4&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;5&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;q&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mi&gt;&amp;#x03BC;&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-117\" class=\"math\"><span id=\"MathJax-Span-118\" class=\"mrow\"><span id=\"MathJax-Span-119\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-120\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-121\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-122\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-123\" class=\"mn\">86\u00a0<\/span><span id=\"MathJax-Span-124\" class=\"mo\">=\u00a0<\/span><span id=\"MathJax-Span-125\" class=\"msubsup\"><span id=\"MathJax-Span-126\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-127\" class=\"mn\">0<\/span><\/span><span id=\"MathJax-Span-128\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-129\" class=\"msubsup\"><span id=\"MathJax-Span-130\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-131\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-132\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-133\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-134\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-135\" class=\"mi\">v\u00a0<\/span><span id=\"MathJax-Span-136\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-137\" class=\"msubsup\"><span id=\"MathJax-Span-138\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-139\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-140\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-141\" class=\"mi\">v\u00a0<\/span><span id=\"MathJax-Span-142\" class=\"mi\">g<\/span><span id=\"MathJax-Span-143\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-144\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-145\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-146\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-147\" class=\"msubsup\"><span id=\"MathJax-Span-148\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-149\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-150\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-151\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-152\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-153\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-154\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-155\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-156\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-157\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-158\" class=\"msubsup\"><span id=\"MathJax-Span-159\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-160\" class=\"mn\">4<\/span><\/span><span id=\"MathJax-Span-161\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-162\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-163\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-164\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-165\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-166\" class=\"mn\">86\u00a0<\/span><span id=\"MathJax-Span-167\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-168\" class=\"msubsup\"><span id=\"MathJax-Span-169\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-170\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-171\" class=\"mi\">q<\/span><span id=\"MathJax-Span-172\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-173\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-174\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-175\" class=\"mn\">86\u00a0<\/span><span id=\"MathJax-Span-176\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-177\" class=\"mi\">\u03bc<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\">norteunrr86=\u03b20+\u03b21pagdonortev+\u03b22unvgramosminorte+\u03b23tottyometromi+\u03b24pagtyometromi86+\u03b25qmimetropag86+\u03bc<\/span><\/span><\/div>\n<p><span class=\"math inline\"><span id=\"MathJax-Element-5-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-178\" class=\"math\"><span id=\"MathJax-Span-179\" class=\"mrow\"><span id=\"MathJax-Span-180\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-181\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-182\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-183\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-184\" class=\"mn\">86\u00a0<\/span><span id=\"MathJax-Span-185\" class=\"mo\">:<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">norteunrr86:<\/span><\/span><\/span>n\u00famero de veces arrestado, 1986.\u00a0<span class=\"math inline\"><span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-186\" class=\"math\"><span id=\"MathJax-Span-187\" class=\"mrow\"><span id=\"MathJax-Span-188\" class=\"mi\">p<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-186\" class=\"math\"><span id=\"MathJax-Span-187\" class=\"mrow\"><span id=\"MathJax-Span-189\" class=\"mi\">c<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-186\" class=\"math\"><span id=\"MathJax-Span-187\" class=\"mrow\"><span id=\"MathJax-Span-190\" class=\"mi\">n<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-186\" class=\"math\"><span id=\"MathJax-Span-187\" class=\"mrow\"><span id=\"MathJax-Span-191\" class=\"mi\">v<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-186\" class=\"math\"><span id=\"MathJax-Span-187\" class=\"mrow\"><span id=\"MathJax-Span-192\" class=\"mo\">:<\/span><\/span><\/span><\/span><\/span><br \/>\n<span class=\"math inline\"><span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-186\" class=\"math\"><span id=\"MathJax-Span-187\" class=\"mrow\"><span id=\"MathJax-Span-188\" class=\"mi\"><\/span><span id=\"MathJax-Span-189\" class=\"mi\"><\/span><span id=\"MathJax-Span-190\" class=\"mi\"><\/span><span id=\"MathJax-Span-191\" class=\"mi\"><\/span><span id=\"MathJax-Span-192\" class=\"mo\"><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">pagdonortev:<\/span><\/span><\/span>proporci\u00f3n de detenciones previas que conducen a condenas\u00a0<span class=\"math inline\"><span id=\"MathJax-Element-7-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-193\" class=\"math\"><span id=\"MathJax-Span-194\" class=\"mrow\"><span id=\"MathJax-Span-195\" class=\"mi\">a<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-7-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-193\" class=\"math\"><span id=\"MathJax-Span-194\" class=\"mrow\"><span id=\"MathJax-Span-196\" class=\"mi\">v<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-7-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-193\" class=\"math\"><span id=\"MathJax-Span-194\" class=\"mrow\"><span id=\"MathJax-Span-197\" class=\"mi\">g<\/span><\/span><\/span><\/span><\/span><br \/>\n<span class=\"math inline\"><span id=\"MathJax-Element-7-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-193\" class=\"math\"><span id=\"MathJax-Span-194\" class=\"mrow\"><span id=\"MathJax-Span-195\" class=\"mi\"><\/span><span id=\"MathJax-Span-196\" class=\"mi\"><\/span><span id=\"MathJax-Span-197\" class=\"mi\"><\/span><span id=\"MathJax-Span-198\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-199\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-200\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-201\" class=\"mo\">:<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">unvgramosminorte:<\/span><\/span><\/span>oraci\u00f3n promedio cumplida, duraci\u00f3n en meses.\u00a0<span class=\"math inline\"><span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-202\" class=\"math\"><span id=\"MathJax-Span-203\" class=\"mrow\"><span id=\"MathJax-Span-204\" class=\"mi\">t<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-202\" class=\"math\"><span id=\"MathJax-Span-203\" class=\"mrow\"><span id=\"MathJax-Span-205\" class=\"mi\">o<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-202\" class=\"math\"><span id=\"MathJax-Span-203\" class=\"mrow\"><span id=\"MathJax-Span-206\" class=\"mi\">t<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-202\" class=\"math\"><span id=\"MathJax-Span-203\" class=\"mrow\"><span id=\"MathJax-Span-207\" class=\"mi\">t<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-202\" class=\"math\"><span id=\"MathJax-Span-203\" class=\"mrow\"><span id=\"MathJax-Span-208\" class=\"mi\">i<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-202\" class=\"math\"><span id=\"MathJax-Span-203\" class=\"mrow\"><span id=\"MathJax-Span-209\" class=\"mi\">m<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-202\" class=\"math\"><span id=\"MathJax-Span-203\" class=\"mrow\"><span id=\"MathJax-Span-210\" class=\"mi\">e<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-202\" class=\"math\"><span id=\"MathJax-Span-203\" class=\"mrow\"><span id=\"MathJax-Span-211\" class=\"mo\">:<\/span><\/span><\/span><\/span><\/span><br \/>\n<span class=\"math inline\"><span id=\"MathJax-Element-8-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-202\" class=\"math\"><span id=\"MathJax-Span-203\" class=\"mrow\"><span id=\"MathJax-Span-204\" class=\"mi\"><\/span><span id=\"MathJax-Span-205\" class=\"mi\"><\/span><span id=\"MathJax-Span-206\" class=\"mi\"><\/span><span id=\"MathJax-Span-207\" class=\"mi\"><\/span><span id=\"MathJax-Span-208\" class=\"mi\"><\/span><span id=\"MathJax-Span-209\" class=\"mi\"><\/span><span id=\"MathJax-Span-210\" class=\"mi\"><\/span><span id=\"MathJax-Span-211\" class=\"mo\"><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">tottyometromi:<\/span><\/span><\/span>tiempo en prisi\u00f3n desde que cumpli\u00f3 18 a\u00f1os, duraci\u00f3n en meses.\u00a0<span class=\"math inline\"><span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-212\" class=\"math\"><span id=\"MathJax-Span-213\" class=\"mrow\"><span id=\"MathJax-Span-214\" class=\"mi\">p<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-212\" class=\"math\"><span id=\"MathJax-Span-213\" class=\"mrow\"><span id=\"MathJax-Span-215\" class=\"mi\">t<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-212\" class=\"math\"><span id=\"MathJax-Span-213\" class=\"mrow\"><span id=\"MathJax-Span-216\" class=\"mi\">i<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-212\" class=\"math\"><span id=\"MathJax-Span-213\" class=\"mrow\"><span id=\"MathJax-Span-217\" class=\"mi\">m<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-212\" class=\"math\"><span id=\"MathJax-Span-213\" class=\"mrow\"><span id=\"MathJax-Span-218\" class=\"mi\">e<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-212\" class=\"math\"><span id=\"MathJax-Span-213\" class=\"mrow\"><span id=\"MathJax-Span-219\" class=\"mn\">86<\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-212\" class=\"math\"><span id=\"MathJax-Span-213\" class=\"mrow\"><span id=\"MathJax-Span-220\" class=\"mo\">:<\/span><\/span><\/span><\/span><\/span><br \/>\n<span class=\"math inline\"><span id=\"MathJax-Element-9-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-212\" class=\"math\"><span id=\"MathJax-Span-213\" class=\"mrow\"><span id=\"MathJax-Span-214\" class=\"mi\"><\/span><span id=\"MathJax-Span-215\" class=\"mi\"><\/span><span id=\"MathJax-Span-216\" class=\"mi\"><\/span><span id=\"MathJax-Span-217\" class=\"mi\"><\/span><span id=\"MathJax-Span-218\" class=\"mi\"><\/span><span id=\"MathJax-Span-219\" class=\"mn\"><\/span><span id=\"MathJax-Span-220\" class=\"mo\"><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">pagtyometromi86:<\/span><\/span><\/span>meses de prisi\u00f3n durante 1986.\u00a0<span class=\"math inline\"><span id=\"MathJax-Element-10-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;q&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-221\" class=\"math\"><span id=\"MathJax-Span-222\" class=\"mrow\"><span id=\"MathJax-Span-223\" class=\"mi\">q<\/span><\/span><\/span><\/span><\/span><br \/>\n<span class=\"math inline\"><span id=\"MathJax-Element-10-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;q&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-221\" class=\"math\"><span id=\"MathJax-Span-222\" class=\"mrow\"><span id=\"MathJax-Span-223\" class=\"mi\"><\/span><span id=\"MathJax-Span-224\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-225\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-226\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-227\" class=\"mn\">86\u00a0<\/span><span id=\"MathJax-Span-228\" class=\"mo\">:<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">qmimetropag86:<\/span><\/span><\/span>\u00a0cuartos empleados, 1986.<\/p>\n<p>Cargue el\u00a0<code>crime1<\/code>conjunto de datos.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\"><span class=\"kw\">data<\/span>(<span class=\"st\">\"crime1\"<\/span>)\r\n?crime1<\/code><\/pre>\n<\/div>\n<p>Estime el modelo.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">restricted_model &lt;- <span class=\"kw\">lm<\/span>(narr86 <span class=\"op\">~<\/span> pcnv <span class=\"op\">+<\/span> ptime86 <span class=\"op\">+<\/span> qemp86, <span class=\"dt\">data =<\/span> crime1)<\/code><\/pre>\n<\/div>\n<p>Crea una nueva variable que\u00a0<code>restricted_model_u<\/code>contenga los residuos\u00a0<span class=\"math inline\"><span id=\"MathJax-Element-11-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mover&gt;&lt;mi&gt;&amp;#x03BC;&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;&amp;#x007E;&lt;\/mo&gt;&lt;\/mover&gt;&lt;\/mrow&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-229\" class=\"math\"><span id=\"MathJax-Span-230\" class=\"mrow\"><span id=\"MathJax-Span-231\" class=\"texatom\"><span id=\"MathJax-Span-232\" class=\"mrow\"><span id=\"MathJax-Span-233\" class=\"munderover\"><span id=\"MathJax-Span-234\" class=\"mi\">\u03bc<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-11-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mover&gt;&lt;mi&gt;&amp;#x03BC;&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;&amp;#x007E;&lt;\/mo&gt;&lt;\/mover&gt;&lt;\/mrow&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-229\" class=\"math\"><span id=\"MathJax-Span-230\" class=\"mrow\"><span id=\"MathJax-Span-231\" class=\"texatom\"><span id=\"MathJax-Span-232\" class=\"mrow\"><span id=\"MathJax-Span-233\" class=\"munderover\"><span id=\"MathJax-Span-234\" class=\"mi\"><\/span><span id=\"MathJax-Span-235\" class=\"mo\">~<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">\u03bc~<\/span><\/span><\/span>\u00a0de la regresi\u00f3n anterior.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">restricted_model_u &lt;- restricted_model<span class=\"op\">$<\/span>residuals<\/code><\/pre>\n<\/div>\n<p>A continuaci\u00f3n, regresi\u00f3n\u00a0<code>pcnv, ptime86, qemp86, avgsen<\/code>, y\u00a0<code>tottime<\/code>, contra los residuos\u00a0<span class=\"math inline\"><span id=\"MathJax-Element-12-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mover&gt;&lt;mi&gt;&amp;#x03BC;&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;&amp;#x007E;&lt;\/mo&gt;&lt;\/mover&gt;&lt;\/mrow&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-236\" class=\"math\"><span id=\"MathJax-Span-237\" class=\"mrow\"><span id=\"MathJax-Span-238\" class=\"texatom\"><span id=\"MathJax-Span-239\" class=\"mrow\"><span id=\"MathJax-Span-240\" class=\"munderover\"><span id=\"MathJax-Span-241\" class=\"mi\">\u03bc<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"math inline\"><span id=\"MathJax-Element-12-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mover&gt;&lt;mi&gt;&amp;#x03BC;&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;&amp;#x007E;&lt;\/mo&gt;&lt;\/mover&gt;&lt;\/mrow&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-236\" class=\"math\"><span id=\"MathJax-Span-237\" class=\"mrow\"><span id=\"MathJax-Span-238\" class=\"texatom\"><span id=\"MathJax-Span-239\" class=\"mrow\"><span id=\"MathJax-Span-240\" class=\"munderover\"><span id=\"MathJax-Span-241\" class=\"mi\"><\/span><span id=\"MathJax-Span-242\" class=\"mo\">~<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">\u03bc~<\/span><\/span><\/span>guardado en\u00a0<code>restricted_model_u<\/code>.<\/p>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-13-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mover&gt;&lt;mi&gt;&amp;#x03BC;&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;&amp;#x007E;&lt;\/mo&gt;&lt;\/mover&gt;&lt;\/mrow&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;v&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;3&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;4&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;5&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;q&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mn&gt;86&lt;\/mn&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-243\" class=\"math\"><span id=\"MathJax-Span-244\" class=\"mrow\"><span id=\"MathJax-Span-245\" class=\"texatom\"><span id=\"MathJax-Span-246\" class=\"mrow\"><span id=\"MathJax-Span-247\" class=\"munderover\"><span id=\"MathJax-Span-248\" class=\"mi\">\u03bc<\/span><span id=\"MathJax-Span-249\" class=\"mo\">~<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-250\" class=\"mo\">=\u00a0<\/span><span id=\"MathJax-Span-251\" class=\"msubsup\"><span id=\"MathJax-Span-252\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-253\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-254\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-255\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-256\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-257\" class=\"mi\">v\u00a0<\/span><span id=\"MathJax-Span-258\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-259\" class=\"msubsup\"><span id=\"MathJax-Span-260\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-261\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-262\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-263\" class=\"mi\">v\u00a0<\/span><span id=\"MathJax-Span-264\" class=\"mi\">g<\/span><span id=\"MathJax-Span-265\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-266\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-267\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-268\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-269\" class=\"msubsup\"><span id=\"MathJax-Span-270\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-271\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-272\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-273\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-274\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-275\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-276\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-277\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-278\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-279\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-280\" class=\"msubsup\"><span id=\"MathJax-Span-281\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-282\" class=\"mn\">4<\/span><\/span><span id=\"MathJax-Span-283\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-284\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-285\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-286\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-287\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-288\" class=\"mn\">86\u00a0<\/span><span id=\"MathJax-Span-289\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-290\" class=\"msubsup\"><span id=\"MathJax-Span-291\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-292\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-293\" class=\"mi\">q<\/span><span id=\"MathJax-Span-294\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-295\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-296\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-297\" class=\"mn\">86<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\">\u03bc~=\u03b21pagdonortev+\u03b22unvgramosminorte+\u03b23tottyometromi+\u03b24pagtyometromi86+\u03b25qmimetropag86<\/span><\/span><\/div>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">LM_u_model &lt;- <span class=\"kw\">lm<\/span>(restricted_model_u <span class=\"op\">~<\/span> pcnv <span class=\"op\">+<\/span> ptime86 <span class=\"op\">+<\/span> qemp86 <span class=\"op\">+<\/span> avgsen <span class=\"op\">+<\/span> tottime, \r\n    <span class=\"dt\">data =<\/span> crime1)\r\n<span class=\"kw\">summary<\/span>(LM_u_model)<span class=\"op\">$<\/span>r.square<\/code><\/pre>\n<\/div>\n<pre><code>## [1] 0.001493846<\/code><\/pre>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-14-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mi&gt;L&lt;\/mi&gt;&lt;mi&gt;M&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;mo&gt;,&lt;\/mo&gt;&lt;mn&gt;725&lt;\/mn&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;mn&gt;0.0015&lt;\/mn&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-298\" class=\"math\"><span id=\"MathJax-Span-299\" class=\"mrow\"><span id=\"MathJax-Span-300\" class=\"mi\">L\u00a0<\/span><span id=\"MathJax-Span-301\" class=\"mi\">M<\/span><span id=\"MathJax-Span-302\" class=\"mo\">=\u00a0<\/span><span id=\"MathJax-Span-303\" class=\"mn\">2\u00a0<\/span><span id=\"MathJax-Span-304\" class=\"mo\">,\u00a0<\/span><span id=\"MathJax-Span-305\" class=\"mn\">725\u00a0<\/span><span id=\"MathJax-Span-306\" class=\"mo\">(\u00a0<\/span><span id=\"MathJax-Span-307\" class=\"mn\">0.0015\u00a0<\/span><span id=\"MathJax-Span-308\" class=\"mo\">)<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\">LMETRO=2,725(0.0015)<\/span><\/span><\/div>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">LM_test &lt;- <span class=\"kw\">nobs<\/span>(LM_u_model) <span class=\"op\">*<\/span> <span class=\"fl\">0.0015<\/span>\r\nLM_test<\/code><\/pre>\n<\/div>\n<pre><code>## [1] 4.0875<\/code><\/pre>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\"><span class=\"kw\">qchisq<\/span>(<span class=\"dv\">1<\/span> <span class=\"op\">-<\/span> <span class=\"fl\">0.10<\/span>, <span class=\"dv\">2<\/span>)<\/code><\/pre>\n<\/div>\n<pre><code>## [1] 4.60517<\/code><\/pre>\n<p>El\u00a0<em>p-<\/em>\u00a0valor es:<\/p>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-15-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mi&gt;P&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;msubsup&gt;&lt;mi&gt;X&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msubsup&gt;&lt;mo&gt;&amp;gt;&lt;\/mo&gt;&lt;mn&gt;4.09&lt;\/mn&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;mo&gt;&amp;#x2248;&lt;\/mo&gt;&lt;mn&gt;0.129&lt;\/mn&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-309\" class=\"math\"><span id=\"MathJax-Span-310\" class=\"mrow\"><span id=\"MathJax-Span-311\" class=\"mi\">PAG<\/span><span id=\"MathJax-Span-312\" class=\"mo\">(\u00a0<\/span><span id=\"MathJax-Span-313\" class=\"msubsup\"><span id=\"MathJax-Span-314\" class=\"mi\">X<\/span><span id=\"MathJax-Span-315\" class=\"mn\">2<\/span><span id=\"MathJax-Span-316\" class=\"texatom\"><span id=\"MathJax-Span-317\" class=\"mrow\"><span id=\"MathJax-Span-318\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-319\" class=\"mo\">&gt;\u00a0<\/span><span id=\"MathJax-Span-320\" class=\"mn\">4.09\u00a0<\/span><span id=\"MathJax-Span-321\" class=\"mo\">)\u00a0<\/span><span id=\"MathJax-Span-322\" class=\"mo\">\u2248\u00a0<\/span><span id=\"MathJax-Span-323\" class=\"mn\">0.129<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\">PAG(X22&gt;4.09)\u22480.129<\/span><\/span><\/div>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\"><span class=\"dv\">1<\/span><span class=\"op\">-<\/span><span class=\"kw\">pchisq<\/span>(LM_test, <span class=\"dv\">2<\/span>)<\/code><\/pre>\n<\/div>\n<pre><code>## [1] 0.129542<\/code><\/pre>\n<\/div>\n<div id=\"chapter-6-multiple-regression-further-issues\" class=\"section level2\">\n<h2>Cap\u00edtulo 6: Regresi\u00f3n m\u00faltiple: otros problemas<\/h2>\n<p><strong><code>Example 6.1:<\/code>\u00a0Efectos de la contaminaci\u00f3n en los precios de la vivienda, estandarizados.<\/strong><\/p>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-16-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;3&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;4&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;5&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mi&gt;&amp;#x03BC;&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-324\" class=\"math\"><span id=\"MathJax-Span-325\" class=\"mrow\"><span id=\"MathJax-Span-326\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-327\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-328\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-329\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-330\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-331\" class=\"mo\">=\u00a0<\/span><span id=\"MathJax-Span-332\" class=\"msubsup\"><span id=\"MathJax-Span-333\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-334\" class=\"mn\">0<\/span><\/span><span id=\"MathJax-Span-335\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-336\" class=\"msubsup\"><span id=\"MathJax-Span-337\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-338\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-339\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-340\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-341\" class=\"mi\">x\u00a0<\/span><span id=\"MathJax-Span-342\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-343\" class=\"msubsup\"><span id=\"MathJax-Span-344\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-345\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-346\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-347\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-348\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-349\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-350\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-351\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-352\" class=\"msubsup\"><span id=\"MathJax-Span-353\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-354\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-355\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-356\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-357\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-358\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-359\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-360\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-361\" class=\"msubsup\"><span id=\"MathJax-Span-362\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-363\" class=\"mn\">4<\/span><\/span><span id=\"MathJax-Span-364\" class=\"mi\">re<\/span><span id=\"MathJax-Span-365\" class=\"mi\">yo\u00a0<\/span><span id=\"MathJax-Span-366\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-367\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-368\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-369\" class=\"msubsup\"><span id=\"MathJax-Span-370\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-371\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-372\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-373\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-374\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-375\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-376\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-377\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-378\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-379\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-380\" class=\"mi\">\u03bc<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\">pagryodomi=\u03b20+\u03b21norteoX+\u03b22doryometromi+\u03b23roometros+\u03b24reyost+\u03b25struntyoo+\u03bc<\/span><\/span><\/div>\n<p><span class=\"math inline\"><span id=\"MathJax-Element-17-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-381\" class=\"math\"><span id=\"MathJax-Span-382\" class=\"mrow\"><span id=\"MathJax-Span-383\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-384\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-385\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-386\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-387\" class=\"mi\">e<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">pagryodomi<\/span><\/span><\/span>: precio medio de la vivienda.<\/p>\n<p><span class=\"math inline\"><span id=\"MathJax-Element-18-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-388\" class=\"math\"><span id=\"MathJax-Span-389\" class=\"mrow\"><span id=\"MathJax-Span-390\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-391\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-392\" class=\"mi\">x<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">norteoX<\/span><\/span><\/span>: Concentraci\u00f3n de \u00f3xido nitroso;\u00a0partes por mill\u00f3n.<\/p>\n<p><span class=\"math inline\"><span id=\"MathJax-Element-19-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-393\" class=\"math\"><span id=\"MathJax-Span-394\" class=\"mrow\"><span id=\"MathJax-Span-395\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-396\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-397\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-398\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-399\" class=\"mi\">e<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">doryometromi<\/span><\/span><\/span>: n\u00famero de cr\u00edmenes reportados per capita.<\/p>\n<p><span class=\"math inline\"><span id=\"MathJax-Element-20-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-400\" class=\"math\"><span id=\"MathJax-Span-401\" class=\"mrow\"><span id=\"MathJax-Span-402\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-403\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-404\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-405\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-406\" class=\"mi\">s<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">roometros<\/span><\/span><\/span>: n\u00famero promedio de habitaciones en casas en la comunidad.<\/p>\n<p><span class=\"math inline\"><span id=\"MathJax-Element-21-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-407\" class=\"math\"><span id=\"MathJax-Span-408\" class=\"mrow\"><span id=\"MathJax-Span-409\" class=\"mi\">re<\/span><span id=\"MathJax-Span-410\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-411\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-412\" class=\"mi\">t<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">reyost<\/span><\/span><\/span>: distancia ponderada de la comunidad a 5 centros de empleo.<\/p>\n<p><span class=\"math inline\"><span id=\"MathJax-Element-22-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-413\" class=\"math\"><span id=\"MathJax-Span-414\" class=\"mrow\"><span id=\"MathJax-Span-415\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-416\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-417\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-418\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-419\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-420\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-421\" class=\"mi\">o<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\">struntyoo<\/span><\/span><\/span>: proporci\u00f3n promedio de alumnos por maestro en las escuelas de la comunidad.<\/p>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-23-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;z&lt;\/mi&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;\/mrow&gt;&lt;mo&gt;&amp;#x005E;&lt;\/mo&gt;&lt;\/mover&gt;&lt;\/mrow&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;z&lt;\/mi&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;z&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;3&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;z&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;4&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;z&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;5&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;z&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-422\" class=\"math\"><span id=\"MathJax-Span-423\" class=\"mrow\"><span id=\"MathJax-Span-424\" class=\"texatom\"><span id=\"MathJax-Span-425\" class=\"mrow\"><span id=\"MathJax-Span-426\" class=\"munderover\"><span id=\"MathJax-Span-427\" class=\"mrow\"><span id=\"MathJax-Span-428\" class=\"mi\">z<\/span><span id=\"MathJax-Span-429\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-430\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-431\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-432\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-433\" class=\"mi\">e<\/span><\/span><span id=\"MathJax-Span-434\" class=\"mo\">1.<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-435\" class=\"mo\">=\u00a0<\/span><span id=\"MathJax-Span-436\" class=\"msubsup\"><span id=\"MathJax-Span-437\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-438\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-439\" class=\"mi\">z<\/span><span id=\"MathJax-Span-440\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-441\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-442\" class=\"mi\">x\u00a0<\/span><span id=\"MathJax-Span-443\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-444\" class=\"msubsup\"><span id=\"MathJax-Span-445\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-446\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-447\" class=\"mi\">z<\/span><span id=\"MathJax-Span-448\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-449\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-450\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-451\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-452\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-453\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-454\" class=\"msubsup\"><span id=\"MathJax-Span-455\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-456\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-457\" class=\"mi\">z<\/span><span id=\"MathJax-Span-458\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-459\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-460\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-461\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-462\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-463\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-464\" class=\"msubsup\"><span id=\"MathJax-Span-465\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-466\" class=\"mn\">4<\/span><\/span><span id=\"MathJax-Span-467\" class=\"mi\">z<\/span><span id=\"MathJax-Span-468\" class=\"mi\">re<\/span><span id=\"MathJax-Span-469\" class=\"mi\">yo\u00a0<\/span><span id=\"MathJax-Span-470\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-471\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-472\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-473\" class=\"msubsup\"><span id=\"MathJax-Span-474\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-475\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-476\" class=\"mi\">z<\/span><span id=\"MathJax-Span-477\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-478\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-479\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-480\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-481\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-482\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-483\" class=\"mi\">o<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\">zpagryodomi^=\u03b21znorteoX+\u03b22zdoryometromi+\u03b23zroometros+\u03b24zreyost+\u03b25zstruntyoo<\/span><\/span><\/div>\n<p>Cargue los\u00a0<code>hprice2<\/code>datos y vea la documentaci\u00f3n.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\"><span class=\"kw\">data<\/span>(<span class=\"st\">\"hprice2\"<\/span>)\r\n?hprice2<\/code><\/pre>\n<\/div>\n<p>Datos de\u00a0<em>Hedonic Housing Prices y Demand for Clean Air<\/em>\u00a0, por Harrison, D. y DLRubinfeld, Journal of Environmental Economics and Management 5, 81-102.\u00a0Diego Garc\u00eda, un ex Ph.D.\u00a0estudiante de econom\u00eda en el MIT, amablemente proporcion\u00f3 estos datos, que obtuvo del libro Regression Diagnostics: Identifying Influential Data and Sources of Collinearity, por DA Belsey, E. Kuh, y R. Welsch, 1990. Nueva York: Wiley.<\/p>\n<p>Estime el coeficiente con el\u00a0<code>lm<\/code>modelo de regresi\u00f3n\u00a0habitual\u00a0, pero esta vez, coeficientes estandarizados envolviendo cada variable con la\u00a0<code>scale<\/code>funci\u00f3n\u00a0de R\u00a0:<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">housing_standard &lt;- <span class=\"kw\">lm<\/span>(<span class=\"kw\">scale<\/span>(price) <span class=\"op\">~<\/span> <span class=\"dv\">0<\/span> <span class=\"op\">+<\/span> <span class=\"kw\">scale<\/span>(nox) <span class=\"op\">+<\/span> <span class=\"kw\">scale<\/span>(crime) <span class=\"op\">+<\/span> <span class=\"kw\">scale<\/span>(rooms) <span class=\"op\">+<\/span> \r\n    <span class=\"kw\">scale<\/span>(dist) <span class=\"op\">+<\/span> <span class=\"kw\">scale<\/span>(stratio), <span class=\"dt\">data =<\/span> hprice2)<\/code><\/pre>\n<\/div>\n<table>\n<tbody>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><em>Variable dependiente:<\/em><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td colspan=\"1\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>escala (precio)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td>escala (nox)<\/td>\n<td>-0.340\u00a0<sup>***<\/sup>\u00a0(0.044)<\/td>\n<\/tr>\n<tr>\n<td>escala (crimen)<\/td>\n<td>-0.143\u00a0<sup>***<\/sup>\u00a0(\u00a00.031\u00a0)<\/td>\n<\/tr>\n<tr>\n<td>escala (habitaciones)<\/td>\n<td>0.514\u00a0<sup>***<\/sup>\u00a0(0.030)<\/td>\n<\/tr>\n<tr>\n<td>escala (dist)<\/td>\n<td>-0.235\u00a0<sup>***<\/sup>\u00a0(0.043)<\/td>\n<\/tr>\n<tr>\n<td>escala (stratio)<\/td>\n<td>-0.270\u00a0<sup>***<\/sup>\u00a0(0.030)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td>Observaciones<\/td>\n<td>506<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup><\/td>\n<td>0.636<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup>\u00a0ajustado<\/td>\n<td>0.632<\/td>\n<\/tr>\n<tr>\n<td>Residual Std.\u00a0Error<\/td>\n<td>0.606 (df = 501)<\/td>\n<\/tr>\n<tr>\n<td>Estad\u00edstica F<\/td>\n<td>174.822\u00a0<sup>***<\/sup>\u00a0(df \u200b\u200b= 5; 501)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><em>Nota:<\/em><\/td>\n<td><em>p &lt;0.1;\u00a0<strong>p &lt;0.05;\u00a0<\/strong><\/em>p &lt;0.01<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong><code>Example 6.2:<\/code>\u00a0Efectos de la contaminaci\u00f3n en los precios de la vivienda, t\u00e9rmino interactivo cuadr\u00e1tico<\/strong><\/p>\n<p>Modificar el modelo de vivienda, agregando un t\u00e9rmino cuadr\u00e1tico en las\u00a0<em>habitaciones<\/em>\u00a0:<\/p>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-24-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;l&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;g&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;3&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;4&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;msup&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msup&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;&amp;#x03B2;&lt;\/mi&gt;&lt;mn&gt;5&lt;\/mn&gt;&lt;\/msub&gt;&lt;mi&gt;s&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;r&lt;\/mi&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;t&lt;\/mi&gt;&lt;mi&gt;i&lt;\/mi&gt;&lt;mi&gt;o&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mi&gt;&amp;#x03BC;&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-484\" class=\"math\"><span id=\"MathJax-Span-485\" class=\"mrow\"><span id=\"MathJax-Span-486\" class=\"mi\">l\u00a0<\/span><span id=\"MathJax-Span-487\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-488\" class=\"mi\">g<\/span><span id=\"MathJax-Span-489\" class=\"mo\">(\u00a0<\/span><span id=\"MathJax-Span-490\" class=\"mi\">p\u00a0<\/span><span id=\"MathJax-Span-491\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-492\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-493\" class=\"mi\">c\u00a0<\/span><span id=\"MathJax-Span-494\" class=\"mi\">e\u00a0<\/span><span id=\"MathJax-Span-495\" class=\"mo\">)\u00a0<\/span><span id=\"MathJax-Span-496\" class=\"mo\">=\u00a0<\/span><span id=\"MathJax-Span-497\" class=\"msubsup\"><span id=\"MathJax-Span-498\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-499\" class=\"mn\">0<\/span><\/span><span id=\"MathJax-Span-500\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-501\" class=\"msubsup\"><span id=\"MathJax-Span-502\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-503\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-504\" class=\"mi\">l\u00a0<\/span><span id=\"MathJax-Span-505\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-506\" class=\"mi\">g<\/span><span id=\"MathJax-Span-507\" class=\"mo\">(\u00a0<\/span><span id=\"MathJax-Span-508\" class=\"mi\">n\u00a0<\/span><span id=\"MathJax-Span-509\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-510\" class=\"mi\">x\u00a0<\/span><span id=\"MathJax-Span-511\" class=\"mo\">)\u00a0<\/span><span id=\"MathJax-Span-512\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-513\" class=\"msubsup\"><span id=\"MathJax-Span-514\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-515\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-516\" class=\"mi\">l\u00a0<\/span><span id=\"MathJax-Span-517\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-518\" class=\"mi\">g<\/span><span id=\"MathJax-Span-519\" class=\"mo\">(\u00a0<\/span><span id=\"MathJax-Span-520\" class=\"mi\">d<\/span><span id=\"MathJax-Span-521\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-522\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-523\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-524\" class=\"mo\">)\u00a0<\/span><span id=\"MathJax-Span-525\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-526\" class=\"msubsup\"><span id=\"MathJax-Span-527\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-528\" class=\"mn\">3<\/span><\/span><span id=\"MathJax-Span-529\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-530\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-531\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-532\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-533\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-534\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-535\" class=\"msubsup\"><span id=\"MathJax-Span-536\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-537\" class=\"mn\">4<\/span><\/span><span id=\"MathJax-Span-538\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-539\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-540\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-541\" class=\"mi\">m\u00a0<\/span><span id=\"MathJax-Span-542\" class=\"msubsup\"><span id=\"MathJax-Span-543\" class=\"mi\">s<\/span><span id=\"MathJax-Span-544\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-545\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-546\" class=\"msubsup\"><span id=\"MathJax-Span-547\" class=\"mi\">\u03b2<\/span><span id=\"MathJax-Span-548\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-549\" class=\"mi\">s\u00a0<\/span><span id=\"MathJax-Span-550\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-551\" class=\"mi\">r\u00a0<\/span><span id=\"MathJax-Span-552\" class=\"mi\">a\u00a0<\/span><span id=\"MathJax-Span-553\" class=\"mi\">t\u00a0<\/span><span id=\"MathJax-Span-554\" class=\"mi\">i\u00a0<\/span><span id=\"MathJax-Span-555\" class=\"mi\">o\u00a0<\/span><span id=\"MathJax-Span-556\" class=\"mo\">+\u00a0<\/span><span id=\"MathJax-Span-557\" class=\"mi\">\u03bc<\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\">logramo(pagryodomi)=\u03b20+\u03b21logramo(norteoX)+\u03b22logramo(reyost)+\u03b23roometros+\u03b24roometros2+\u03b25struntyoo+\u03bc<\/span><\/span><\/div>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">housing_interactive &lt;- <span class=\"kw\">lm<\/span>(lprice <span class=\"op\">~<\/span> lnox <span class=\"op\">+<\/span> <span class=\"kw\">log<\/span>(dist) <span class=\"op\">+<\/span> rooms<span class=\"op\">+<\/span><span class=\"kw\">I<\/span>(rooms<span class=\"op\">^<\/span><span class=\"dv\">2<\/span>) <span class=\"op\">+<\/span> stratio, <span class=\"dt\">data =<\/span> hprice2)<\/code><\/pre>\n<\/div>\n<p>Compare los resultados con el modelo de\u00a0<code>example 6.1<\/code>.<\/p>\n<table>\n<tbody>\n<tr>\n<td colspan=\"3\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td colspan=\"2\"><em>Variable dependiente:<\/em><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>escala (precio)<\/td>\n<td>lprice<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>(1)<\/td>\n<td>(2)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><\/td>\n<\/tr>\n<tr>\n<td>escala (nox)<\/td>\n<td>-0.340\u00a0<sup>***<\/sup>\u00a0(0.044)<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>escala (crimen)<\/td>\n<td>-0.143\u00a0<sup>***<\/sup>\u00a0(\u00a00.031\u00a0)<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>escala (habitaciones)<\/td>\n<td>0.514\u00a0<sup>***<\/sup>\u00a0(0.030)<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>escala (dist)<\/td>\n<td>-0.235\u00a0<sup>***<\/sup>\u00a0(0.043)<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>escala (stratio)<\/td>\n<td>-0.270\u00a0<sup>***<\/sup>\u00a0(0.030)<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>lnox<\/td>\n<td><\/td>\n<td>-0.902\u00a0<sup>***<\/sup>\u00a0(\u00a00.115\u00a0)<\/td>\n<\/tr>\n<tr>\n<td>log (dist)<\/td>\n<td><\/td>\n<td>-0.087\u00a0<sup>**<\/sup>\u00a0(0.043)<\/td>\n<\/tr>\n<tr>\n<td>habitaciones<\/td>\n<td><\/td>\n<td>-0.545\u00a0<sup>***<\/sup>\u00a0(0.165)<\/td>\n<\/tr>\n<tr>\n<td>Yo (habitaciones2)<\/td>\n<td><\/td>\n<td>0.062\u00a0<sup>***<\/sup>\u00a0(0.013)<\/td>\n<\/tr>\n<tr>\n<td>stratio<\/td>\n<td><\/td>\n<td>-0.048\u00a0<sup>***<\/sup>\u00a0(0.006)<\/td>\n<\/tr>\n<tr>\n<td>Constante<\/td>\n<td><\/td>\n<td>13.385\u00a0<sup>***<\/sup>\u00a0(0.566)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><\/td>\n<\/tr>\n<tr>\n<td>Observaciones<\/td>\n<td>506<\/td>\n<td>506<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup><\/td>\n<td>0.636<\/td>\n<td>0.603<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup>\u00a0ajustado<\/td>\n<td>0.632<\/td>\n<td>0.599<\/td>\n<\/tr>\n<tr>\n<td>Residual Std.\u00a0Error<\/td>\n<td>0.606 (df = 501)<\/td>\n<td>0,259 (df = 500)<\/td>\n<\/tr>\n<tr>\n<td>Estad\u00edstica F<\/td>\n<td>174.822\u00a0<sup>***<\/sup>\u00a0(df \u200b\u200b= 5; 501)<\/td>\n<td>151.770\u00a0<sup>***<\/sup>\u00a0(df \u200b\u200b= 5; 500)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><\/td>\n<\/tr>\n<tr>\n<td><em>Nota:<\/em><\/td>\n<td colspan=\"2\"><em>p &lt;0.1;\u00a0<strong>p &lt;0.05;\u00a0<\/strong><\/em>p &lt;0.01<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div id=\"chapter-7-multiple-regression-analysis-with-qualitative-information\" class=\"section level2\"><\/div>\n<div id=\"chapter-10-basic-regression-analysis-with-time-series-data\" class=\"section level2\">\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td>0.587<\/td>\n<\/tr>\n<tr>\n<td>Residual Std.\u00a0Error<\/td>\n<td>1.843 (df = 53)<\/td>\n<\/tr>\n<tr>\n<td>Estad\u00edstica F<\/td>\n<td>40.094\u00a0<sup>***<\/sup>\u00a0(df \u200b\u200b= 2; 53)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><em>Nota:<\/em><\/td>\n<td><em>p &lt;0.1;\u00a0<strong>p &lt;0.05;\u00a0<\/strong><\/em>p &lt;0.01<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong><code>Example 10.11:<\/code>\u00a0Efectos estacionales de las presentaciones antidumping<\/strong><\/p>\n<p>CM Krupp y PS Pollard (1999),\u00a0<em>Las respuestas del mercado a las leyes antidumping: algunas pruebas de la industria qu\u00edmica de los Estados Unidos<\/em>\u00a0, Canadian Journal of Economics 29, 199-227.\u00a0El Dr. Krupp amablemente proporcion\u00f3 los datos.\u00a0Son datos mensuales que abarcan desde febrero de 1978 hasta diciembre de 1988.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\"><span class=\"kw\">data<\/span>(<span class=\"st\">\"barium\"<\/span>)\r\n?barium<\/code><\/pre>\n<\/div>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">barium_imports &lt;- <span class=\"kw\">lm<\/span>(lchnimp <span class=\"op\">~<\/span> lchempi <span class=\"op\">+<\/span> lgas <span class=\"op\">+<\/span> lrtwex <span class=\"op\">+<\/span> befile6 <span class=\"op\">+<\/span> affile6 <span class=\"op\">+<\/span> \r\n    afdec6, <span class=\"dt\">data =<\/span> barium)<\/code><\/pre>\n<\/div>\n<p>Estime un nuevo modelo,\u00a0<code>barium_seasonal<\/code>que tenga en cuenta la estacionalidad mediante la adici\u00f3n de variables ficticias contenidas en los datos.\u00a0Calcule el\u00a0<code>anova<\/code>entre los dos modelos.<\/p>\n<div class=\"sourceCode\">\n<pre class=\"sourceCode r\"><code class=\"sourceCode r\">barium_seasonal &lt;- <span class=\"kw\">lm<\/span>(lchnimp <span class=\"op\">~<\/span> lchempi <span class=\"op\">+<\/span> lgas <span class=\"op\">+<\/span> lrtwex <span class=\"op\">+<\/span> befile6 <span class=\"op\">+<\/span> affile6 <span class=\"op\">+<\/span> \r\n    afdec6 <span class=\"op\">+<\/span> feb <span class=\"op\">+<\/span> mar <span class=\"op\">+<\/span> apr <span class=\"op\">+<\/span> may <span class=\"op\">+<\/span> jun <span class=\"op\">+<\/span> jul <span class=\"op\">+<\/span> aug <span class=\"op\">+<\/span> sep <span class=\"op\">+<\/span> oct <span class=\"op\">+<\/span> nov <span class=\"op\">+<\/span> dec, \r\n    <span class=\"dt\">data =<\/span> barium)\r\nbarium_anova &lt;- <span class=\"kw\">anova<\/span>(barium_imports, barium_seasonal)<\/code><\/pre>\n<\/div>\n<table>\n<tbody>\n<tr>\n<td colspan=\"3\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td colspan=\"2\"><em>Variable dependiente:<\/em><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td colspan=\"2\">lchnimp<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>(1)<\/td>\n<td>(2)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><\/td>\n<\/tr>\n<tr>\n<td>lchempi<\/td>\n<td>3.117\u00a0<sup>***<\/sup>\u00a0(0.479)<\/td>\n<td>3.265\u00a0<sup>***<\/sup>\u00a0(0.493)<\/td>\n<\/tr>\n<tr>\n<td>lgas<\/td>\n<td>0.196 (0.907)<\/td>\n<td>-1.278 (1.389)<\/td>\n<\/tr>\n<tr>\n<td>lrtwex<\/td>\n<td>0,983\u00a0<sup>**<\/sup>\u00a0(0,400)<\/td>\n<td>0,663 (0,471)<\/td>\n<\/tr>\n<tr>\n<td>befile6<\/td>\n<td>0.060 (0.261)<\/td>\n<td>0.140 (0.267)<\/td>\n<\/tr>\n<tr>\n<td>affile6<\/td>\n<td>-0.032 (0.264)<\/td>\n<td>0.013 (0.279)<\/td>\n<\/tr>\n<tr>\n<td>afdec6<\/td>\n<td>-0.565\u00a0<sup>*<\/sup>\u00a0(0.286)<\/td>\n<td>-0.521\u00a0<sup>*<\/sup>\u00a0(0.302)<\/td>\n<\/tr>\n<tr>\n<td>feb<\/td>\n<td><\/td>\n<td>-0.418 (0.304)<\/td>\n<\/tr>\n<tr>\n<td>mar<\/td>\n<td><\/td>\n<td>0.059 (0.265)<\/td>\n<\/tr>\n<tr>\n<td>abr<\/td>\n<td><\/td>\n<td>-0.451\u00a0<sup>*<\/sup>\u00a0(0.268)<\/td>\n<\/tr>\n<tr>\n<td>mayo<\/td>\n<td><\/td>\n<td>0.033 (0.269)<\/td>\n<\/tr>\n<tr>\n<td>jun<\/td>\n<td><\/td>\n<td>-0.206 (0.269)<\/td>\n<\/tr>\n<tr>\n<td>jul<\/td>\n<td><\/td>\n<td>0.004 (0.279)<\/td>\n<\/tr>\n<tr>\n<td>ago<\/td>\n<td><\/td>\n<td>-0.157 (0.278)<\/td>\n<\/tr>\n<tr>\n<td>sep<\/td>\n<td><\/td>\n<td>-0.134 (0.268)<\/td>\n<\/tr>\n<tr>\n<td>oct<\/td>\n<td><\/td>\n<td>0.052 (0.267)<\/td>\n<\/tr>\n<tr>\n<td>nov<\/td>\n<td><\/td>\n<td>-0.246 (0.263)<\/td>\n<\/tr>\n<tr>\n<td>dic<\/td>\n<td><\/td>\n<td>0.133 (0.271)<\/td>\n<\/tr>\n<tr>\n<td>Constante<\/td>\n<td>-17.803 (21.045)<\/td>\n<td>16.779 (32.429)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><\/td>\n<\/tr>\n<tr>\n<td>Observaciones<\/td>\n<td>131<\/td>\n<td>131<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup><\/td>\n<td>0.305<\/td>\n<td>0.358<\/td>\n<\/tr>\n<tr>\n<td>R\u00a0<sup>2<\/sup>\u00a0ajustado<\/td>\n<td>0.271<\/td>\n<td>0.262<\/td>\n<\/tr>\n<tr>\n<td>Residual Std.\u00a0Error<\/td>\n<td>0.597 (df = 124)<\/td>\n<td>0.601 (df = 113)<\/td>\n<\/tr>\n<tr>\n<td>Estad\u00edstica F<\/td>\n<td>9.064\u00a0<sup>***<\/sup>\u00a0(df \u200b\u200b= 6; 124)<\/td>\n<td>3.712\u00a0<sup>***<\/sup>\u00a0(df \u200b\u200b= 17; 113)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><\/td>\n<\/tr>\n<tr>\n<td><em>Nota:<\/em><\/td>\n<td colspan=\"2\"><em>p &lt;0.1;\u00a0<strong>p &lt;0.05;\u00a0<\/strong><\/em>p &lt;0.01<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td colspan=\"6\"><\/td>\n<\/tr>\n<tr>\n<td>Estad\u00edstica<\/td>\n<td>norte<\/td>\n<td>Media<\/td>\n<td>St. Dev.<\/td>\n<td>Min.<\/td>\n<td>Max<\/td>\n<\/tr>\n<tr>\n<td colspan=\"6\"><\/td>\n<\/tr>\n<tr>\n<td>Res.Df<\/td>\n<td>2<\/td>\n<td>118.500<\/td>\n<td>7.778<\/td>\n<td>113<\/td>\n<td>124<\/td>\n<\/tr>\n<tr>\n<td>RSS<\/td>\n<td>2<\/td>\n<td>42.545<\/td>\n<td>2.406<\/td>\n<td>40.844<\/td>\n<td>44.247<\/td>\n<\/tr>\n<tr>\n<td>Df<\/td>\n<td>1<\/td>\n<td>11,000<\/td>\n<td><\/td>\n<td>11<\/td>\n<td>11<\/td>\n<\/tr>\n<tr>\n<td>Suma de Sq<\/td>\n<td>1<\/td>\n<td>3.403<\/td>\n<td><\/td>\n<td>3.403<\/td>\n<td>3.403<\/td>\n<\/tr>\n<tr>\n<td>F<\/td>\n<td>1<\/td>\n<td>0.856<\/td>\n<td><\/td>\n<td>0.856<\/td>\n<td>0.856<\/td>\n<\/tr>\n<tr>\n<td>Pr (&gt; F)<\/td>\n<td>1<\/td>\n<td>0.585<\/td>\n<td><\/td>\n<td>0.585<\/td>\n<td>0.585<\/td>\n<\/tr>\n<tr>\n<td colspan=\"6\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div id=\"chapter-11-further-issues-in-using-ols-with-with-time-series-data\" class=\"section level2\"><\/div>\n<div id=\"chapter-18-advanced-time-series-topics\" class=\"section level2\"><\/div>\n<div class=\"section level3\"><\/div>\n<div id=\"appendix\" class=\"section level1\">\n<div id=\"applied-econometrics-with-r\" class=\"section level3\">\n<h3>Econometr\u00eda Aplicada con R<\/h3>\n<p>es mi proyecto registrado en el Consejo Divisional de la DCSH.<\/p>\n<blockquote>\n<p>Este proyecto presenta\u00a0 los m\u00e9todos de la\u00a0 econometr\u00eda aplicada que utiliza el sistema R para computaci\u00f3n y gr\u00e1ficos estad\u00edsticos.\u00a0Presenta ejemplos pr\u00e1cticos para una amplia gama de modelos econom\u00e9tricos, desde modelos de regresi\u00f3n lineal cl\u00e1sicos para secciones transversales, series de tiempo o datos de panel y los modelos comunes no lineales de microeconometr\u00eda, como modelos logit, probit y tobit, hasta modelos semiparam\u00e9tricos recientes. extensiones\u00a0Adem\u00e1s, proporciona un cap\u00edtulo sobre programaci\u00f3n, que incluye simulaciones, optimizaci\u00f3n y una introducci\u00f3n a las herramientas R que permite una investigaci\u00f3n econom\u00e9trica reproducible.\u00a0Un paquete R que acompa\u00f1a a este libro, AER, est\u00e1 disponible en la Red Integral de Archivos R (CRAN) en\u00a0<a class=\"uri\" href=\"https:\/\/cran.r-project.org\/package=AER\">https:\/\/CRAN.R-project.org\/package=AER<\/a>\u00a0.<\/p>\n<\/blockquote>\n<p>&nbsp;<\/p>\n<\/div>\n<div id=\"bibliography\" class=\"section level2\">\n<h2>Bibliograf\u00eda<\/h2>\n<p>Yves Croissant, Giovanni Millo (2008).\u00a0<em>Econometr\u00eda de datos de panel en R: El paquete de plm<\/em>\u00a0.\u00a0Journal of Statistical Software 27 (2).\u00a0URL www.jstatsoft.org\/v27\/i02\/.<\/p>\n<p>Marek Hlavac (2015).\u00a0<em>stargazer: Regresi\u00f3n con formato correcto y tablas de estad\u00edsticas de resumen<\/em>\u00a0.\u00a0Paquete R versi\u00f3n 5.2.\u00a0<a class=\"uri\" href=\"https:\/\/cran.r-project.org\/package=stargazer\">https:\/\/CRAN.R-project.org\/package=stargazer<\/a><\/p>\n<p>Christian Kleiber y Achim Zeileis (2008).\u00a0<em>Econometr\u00eda Aplicada con R<\/em>\u00a0.\u00a0Nueva York: Springer-Verlag.\u00a0ISBN 978-0-387-77316-2.\u00a0URL\u00a0<a class=\"uri\" href=\"https:\/\/cran.r-project.org\/package=AER\">https:\/\/CRAN.R-project.org\/package=AER<\/a><\/p>\n<p>Franz Mohr (2015).\u00a0<em>prais: Prais-Winsten Procedimiento de estimaci\u00f3n para AR (1) Correlaci\u00f3n en serie<\/em>\u00a0.\u00a0Versi\u00f3n del paquete R 0.1.1.\u00a0<a class=\"uri\" href=\"https:\/\/cran.r-project.org\/package=prais\">https:\/\/CRAN.R-project.org\/package=prais<\/a><\/p>\n<p>R Core Team (2018).\u00a0<em>R: Un lenguaje y entorno para la inform\u00e1tica estad\u00edstica<\/em>\u00a0.\u00a0R Foundation for Statistical Computing, Viena, Austria.\u00a0URL\u00a0<a class=\"uri\" href=\"https:\/\/www.r-project.org\/\">https:\/\/www.R-project.org\/<\/a>\u00a0.<\/p>\n<p>Hadley Wickham y Winston Chang (2016).\u00a0<em>devtools: herramientas para hacer que los paquetes R en desarrollo sean m\u00e1s f\u00e1ciles<\/em>\u00a0.\u00a0Paquete R versi\u00f3n 1.12.0.\u00a0<a class=\"uri\" href=\"https:\/\/cran.r-project.org\/package=devtools\">https:\/\/CRAN.R-project.org\/package=devtools<\/a><\/p>\n<p>Hadley Wickham.\u00a0<em>prueba de que: comience con las pruebas<\/em>\u00a0.\u00a0Paquete R versi\u00f3n 1.0.2.\u00a0<a class=\"uri\" href=\"https:\/\/cran.r-project.org\/package=testthat\">https:\/\/CRAN.R-project.org\/package=testthat<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>EL LIBRO DE WOOLDRIDGE, ES UN CLASICO. YA VAMOS EN LA 4ta. edici\u00f3n en espa\u00f1ol y la 6ta en ingl\u00e9s.<\/p>\n<p>Jeffrey M. Wooldridge (2016).\u00a0<em>Econometr\u00eda introductoria: un enfoque moderno<\/em>\u00a0.\u00a0Mason, Ohio: South-Western Cengage Learning.<\/p>\n<p>&nbsp;<\/p>\n<p>AGRADEZCO ESPECIALMENTE AL Dr. Yihui Xie,\u00a0 \u00a0por sus amables recomendaciones para mejorar este sitio. El Dr. Yihui Xie, actualmente trabaja en RStudio, Inc.<\/p>\n<p>Yihui Xie (2018).\u00a0<em>knitr: Un paquete de prop\u00f3sito general para la Generaci\u00f3n de informes din\u00e1micos en I<\/em>\u00a0.\u00a0Paquete R versi\u00f3n 1.16.\u00a0<a class=\"uri\" href=\"https:\/\/cran.r-project.org\/package=knitr\">https:\/\/CRAN.R-project.org\/package=knitr<\/a><\/p>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>tI.1 &lt;- read.table(&#8220;https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-I.1.txt&#8221;, skip = 6, header = T) View(t1.2) y &lt;- t1.2[,1] x &lt;- t1.2[,2] modelo1.2 &lt;- lm(y~x) t3.2 &lt;- read.table(&#8220;https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-3.2.txt&#8221;, skip = 6, header = T) View(t3.2) y &lt;- t3.2[,1] x &lt;- t3.2[,2] t2.7 &lt;- read.table(&#8220;https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/wp-content\/uploads\/2023\/09\/Table-2.7.txt&#8221;, skip = 9, header = T) View(t2.7) y &lt;- t2.7[,1] x1 &lt;- t2.7[,2] x2 &lt;- t2.7[,7] modelo2.7 &hellip; <a href=\"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/?page_id=64\" class=\"more-link\">Seguir leyendo <span class=\"screen-reader-text\">Datasets para R<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-64","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/index.php?rest_route=\/wp\/v2\/pages\/64","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=64"}],"version-history":[{"count":17,"href":"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/index.php?rest_route=\/wp\/v2\/pages\/64\/revisions"}],"predecessor-version":[{"id":404,"href":"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/index.php?rest_route=\/wp\/v2\/pages\/64\/revisions\/404"}],"wp:attachment":[{"href":"https:\/\/dcsh.izt.uam.mx\/proyectos\/r\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=64"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}