{"id":22020,"date":"2023-01-25T18:14:48","date_gmt":"2023-01-25T18:14:48","guid":{"rendered":"https:\/\/blogs.ugto.mx\/rea\/?p=22020"},"modified":"2023-01-25T18:14:48","modified_gmt":"2023-01-25T18:14:48","slug":"clase-digital-2-ajuste-de-curvas-por-minimos-cuadrados","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/rea\/clase-digital-2-ajuste-de-curvas-por-minimos-cuadrados\/","title":{"rendered":"Clase digital 2. Ajuste de curvas por m\u00ednimos cuadrados"},"content":{"rendered":"\n\n\n<div class=\"wp-block-cover is-light\" style=\"min-height:284px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"><\/span><img decoding=\"async\" class=\"wp-block-cover__image-background wp-image-22098\" alt=\"\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-karolina-grabowska-6256102-1.jpg\" data-object-fit=\"cover\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1279\" height=\"853\" class=\"wp-block-cover__image-background wp-image-22098\" alt=\"\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-karolina-grabowska-6256102-1.jpg\" data-object-fit=\"cover\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-karolina-grabowska-6256102-1.jpg 1279w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-karolina-grabowska-6256102-1-300x200.jpg 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-karolina-grabowska-6256102-1-1024x683.jpg 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-karolina-grabowska-6256102-1-768x512.jpg 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-karolina-grabowska-6256102-1-272x182.jpg 272w\" sizes=\"auto, (max-width: 1279px) 100vw, 1279px\" \/><\/noscript><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-base-3-color has-text-color has-large-font-size wp-block-paragraph\">Ajuste de curvas por m\u00ednimos cuadrados<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"introduccion\">Introducci\u00f3n<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u00a1Hola!<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Me da gusto poder saludarte de nuevo y que contin\u00faes en este camino que vas comenzando para desarrollar tus habilidades en la <strong>mec\u00e1nica anal\u00edtica <\/strong>en la que conocer\u00e1s las t\u00e9cnicas para encontrar proyecciones por el m\u00e9todo de m\u00ednimos cuadrados y su aplicaci\u00f3n en la ingenier\u00eda.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En el ajuste de curvas por el m\u00e9todo de m\u00ednimos cuadrados es muy importante comparar el valor de correlaci\u00f3n entre los diferentes modelos, encontrando as\u00ed el menor error en la aproximaci\u00f3n de dicha curva.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Al concluir esta clase digital ser\u00e1s capaz de conocer y aplicar las diferentes t\u00e9cnicas para encontrar el ajuste de curvas m\u00e1s apropiado y determinar una proyecci\u00f3n a partir de los datos obtenidos en las observaciones experimentales.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Determinar el ajuste m\u00e1s apropiado de una curva es de suma importancia para conocer la proyecci\u00f3n a partir de ciertos datos, de este modo se podr\u00e1 tener el comportamiento o tendencia a seguir en un modelo aplicable en la ingenier\u00eda.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Te invito a atender esta segunda clase con entusiasmo y visi\u00f3n profunda, ya que ver\u00e1s que te resultar\u00e1n muy ben\u00e9ficos estos conocimientos.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Desarrollo del tema <\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">El procedimiento m\u00e1s objetivo para ajustar una curva a un conjunto de datos presentados en un diagrama de dispersi\u00f3n se conoce como el <strong>m\u00e9todo de los m\u00ednimos cuadrados<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Las relaciones fundamentales son:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.27.32.png\" alt=\"\" class=\"wp-image-22101\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1376\" height=\"168\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.27.32.png\" alt=\"\" class=\"wp-image-22101\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.27.32.png 1376w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.27.32-300x37.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.27.32-1024x125.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.27.32-768x94.png 768w\" sizes=\"auto, (max-width: 1376px) 100vw, 1376px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Para graficarlas se requiere conocer los valores de \u201cm\u201d y \u201cb\u201d.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El m\u00e9todo de los m\u00ednimos cuadrados postula que la mejor recta que pasa por los puntos (pares ordenados&nbsp;x,y) es aquella cuya suma de los cuadrados de los residuos sea m\u00ednima o tienda a cero. Es decir:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.28.23.png\" alt=\"\" class=\"wp-image-22104\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1376\" height=\"117\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.28.23.png\" alt=\"\" class=\"wp-image-22104\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.28.23.png 1376w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.28.23-300x26.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.28.23-1024x87.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.28.23-768x65.png 768w\" sizes=\"auto, (max-width: 1376px) 100vw, 1376px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Donde:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d = valor medido-valor promedio de las varias medidas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">n =&nbsp; n\u00famero de observaciones o datos.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.29.16.png\" alt=\"\" class=\"wp-image-22105\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1352\" height=\"534\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.29.16.png\" alt=\"\" class=\"wp-image-22105\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.29.16.png 1352w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.29.16-300x118.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.29.16-1024x404.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.29.16-768x303.png 768w\" sizes=\"auto, (max-width: 1352px) 100vw, 1352px\" \/><\/noscript><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Error en las mediciones<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.31.23.png\" alt=\"\" class=\"wp-image-22106\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1371\" height=\"259\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.31.23.png\" alt=\"\" class=\"wp-image-22106\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.31.23.png 1371w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.31.23-300x57.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.31.23-1024x193.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.31.23-768x145.png 768w\" sizes=\"auto, (max-width: 1371px) 100vw, 1371px\" \/><\/noscript><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Correlaci\u00f3n<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.34.00.png\" alt=\"\" class=\"wp-image-22108\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1353\" height=\"367\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.34.00.png\" alt=\"\" class=\"wp-image-22108\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.34.00.png 1353w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.34.00-300x81.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.34.00-1024x278.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.34.00-768x208.png 768w\" sizes=\"auto, (max-width: 1353px) 100vw, 1353px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplos:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Se encuentra la recta que se ajusta mejor a los siguientes datos:<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>X<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">1.0<\/td><td class=\"has-text-align-center\" data-align=\"center\">1.5<\/td><td class=\"has-text-align-center\" data-align=\"center\">2.0<\/td><td class=\"has-text-align-center\" data-align=\"center\">2.5<\/td><td class=\"has-text-align-center\" data-align=\"center\">3.0<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Y<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">2.0<\/td><td class=\"has-text-align-center\" data-align=\"center\">3.2<\/td><td class=\"has-text-align-center\" data-align=\"center\">4.1<\/td><td class=\"has-text-align-center\" data-align=\"center\">4.9<\/td><td class=\"has-text-align-center\" data-align=\"center\">5.9<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.35.48.png\" alt=\"\" class=\"wp-image-22109\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1363\" height=\"105\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.35.48.png\" alt=\"\" class=\"wp-image-22109\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.35.48.png 1363w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.35.48-300x23.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.35.48-1024x79.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.35.48-768x59.png 768w\" sizes=\"auto, (max-width: 1363px) 100vw, 1363px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.37.00.png\" alt=\"\" class=\"wp-image-22111\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1373\" height=\"526\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.37.00.png\" alt=\"\" class=\"wp-image-22111\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.37.00.png 1373w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.37.00-300x115.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.37.00-1024x392.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.37.00-768x294.png 768w\" sizes=\"auto, (max-width: 1373px) 100vw, 1373px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Nota: <\/strong>Los valores en rojo se colocaron para contar con un mayor n\u00famero de cifras significativas, ya que el error toma valores menores a la unidad (1), por tanto, si tomamos s\u00f3lo una posici\u00f3n decimal, el error siempre ser\u00e1 cero.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.38.24.png\" alt=\"\" class=\"wp-image-22112\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1367\" height=\"692\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.38.24.png\" alt=\"\" class=\"wp-image-22112\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.38.24.png 1367w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.38.24-300x152.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.38.24-1024x518.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.38.24-768x389.png 768w\" sizes=\"auto, (max-width: 1367px) 100vw, 1367px\" \/><\/noscript><figcaption class=\"wp-element-caption\">Por tanto, la ecuaci\u00f3n general de estos datos es la recta&nbsp;<em>y<\/em> <em>=1.90x+0.22<\/em><\/figcaption><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Correlaci\u00f3n:<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.39.41.png\" alt=\"\" class=\"wp-image-22113\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1374\" height=\"145\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.39.41.png\" alt=\"\" class=\"wp-image-22113\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.39.41.png 1374w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.39.41-300x32.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.39.41-1024x108.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.39.41-768x81.png 768w\" sizes=\"auto, (max-width: 1374px) 100vw, 1374px\" \/><\/noscript><\/figure>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.40.44.png\" alt=\"\" class=\"wp-image-22116\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"867\" height=\"469\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.40.44.png\" alt=\"\" class=\"wp-image-22116\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.40.44.png 867w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.40.44-300x162.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.40.44-768x415.png 768w\" sizes=\"auto, (max-width: 867px) 100vw, 867px\" \/><\/noscript><figcaption class=\"wp-element-caption\"><strong>Diagrama 1. <\/strong>Dispersi\u00f3n y gr\u00e1fica de la recta.<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Los puntos azules representan la dispersi\u00f3n de los datos dados y la recta marr\u00f3n es el ajuste de la ecuaci\u00f3n; observando la correlaci\u00f3n es un valor muy cercano a 1 (0.9976) lo que quiere decir que es una correlaci\u00f3n casi perfecta y directa, tal como se aprecia en la gr\u00e1fica. Casi todos los puntos de la dispersi\u00f3n est\u00e1n muy pr\u00f3ximos a la recta.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2. Se determina la recta de m\u00ednimos cuadrados para el porcentaje de calificaciones por encima del 80 que ha reunido la profesora de \u00c1lgebra lineal. Adem\u00e1s, se calcula el porcentaje esperado despu\u00e9s del d\u00e9cimo semestre.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Semestre<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Porcentaje<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">0.20<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.25<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.20<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.35<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.45<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.40<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n: <\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.43.31.png\" alt=\"\" class=\"wp-image-22117\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1146\" height=\"351\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.43.31.png\" alt=\"\" class=\"wp-image-22117\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.43.31.png 1146w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.43.31-300x92.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.43.31-1024x314.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.43.31-768x235.png 768w\" sizes=\"auto, (max-width: 1146px) 100vw, 1146px\" \/><\/noscript><figcaption class=\"wp-element-caption\"><strong>Nota: <\/strong>Al igual que en el ejemplo anterior, los valores en rojo se colocaron para contar con un mayor n\u00famero de cifras significativas, ya que el error toma valores menores a la unidad (1), por tanto, si tomamos s\u00f3lo una posici\u00f3n decimal, el error siempre ser\u00e1 cero.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.52.54.png\" alt=\"\" class=\"wp-image-22121\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1369\" height=\"382\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.52.54.png\" alt=\"\" class=\"wp-image-22121\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.52.54.png 1369w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.52.54-300x84.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.52.54-1024x286.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.52.54-768x214.png 768w\" sizes=\"auto, (max-width: 1369px) 100vw, 1369px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.54.11.png\" alt=\"\" class=\"wp-image-22122\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1364\" height=\"516\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.54.11.png\" alt=\"\" class=\"wp-image-22122\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.54.11.png 1364w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.54.11-300x113.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.54.11-1024x387.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.54.11-768x291.png 768w\" sizes=\"auto, (max-width: 1364px) 100vw, 1364px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Por tanto, la ecuaci\u00f3n general de estos datos es la recta&nbsp; <em>y=0.05x+0.13<\/em><br>Para<em> x=10        y=0.0510+0.13=0.63<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Lo cual significa que m\u00e1s o menos 63% de calificaciones estar\u00edan por encima del 80 en el d\u00e9cimo semestre, si contin\u00faa esta tendencia de calificaciones.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.55.26-1.png\" alt=\"\" class=\"wp-image-22123\" width=\"1000\" height=\"523\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.55.26-1.png\" alt=\"\" class=\"wp-image-22123\" width=\"1000\" height=\"523\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.55.26-1.png 1020w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.55.26-1-300x157.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.55.26-1-768x402.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/noscript><figcaption class=\"wp-element-caption\"><strong>Diagrama 2. <\/strong>Dispersi\u00f3n y recta.<\/figcaption><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">M\u00e9todo de m\u00ednimos cuadrados<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Este procedimiento consiste en calcular la proyecci\u00f3n a partir de un ajuste de los datos obtenidos, a una recta o curva, de tal modo que los puntos pertenecientes a estas difieran lo menos posible de los datos observados.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para determinar la poblaci\u00f3n de proyecto, ser\u00e1 necesario considerar el modelo matem\u00e1tico que mejor represente el comportamiento de los datos de los censos hist\u00f3ricos de poblaci\u00f3n (lineal, exponencial, logar\u00edtmica o potencial), obteniendo las constantes \u201ca\u201d y \u201cb\u201d que se conocen como coeficientes de la regresi\u00f3n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Existe un par\u00e1metro que sirve para determinar qu\u00e9 tan acertada fue la elecci\u00f3n de la curva o recta de ajuste a los datos de los censos. Este se denomina coeficiente de correlaci\u00f3n \u201cr\u201d, su rango de variaci\u00f3n es de -1 a +1 y conforme su valor absoluto se acerque m\u00e1s a 1 el ajuste del modelo a los datos ser\u00e1 mejor.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Ajuste lineal<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.57.23.png\" alt=\"\" class=\"wp-image-22124\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1364\" height=\"733\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.57.23.png\" alt=\"\" class=\"wp-image-22124\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.57.23.png 1364w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.57.23-300x161.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.57.23-1024x550.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-15.57.23-768x413.png 768w\" sizes=\"auto, (max-width: 1364px) 100vw, 1364px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.00.39-1024x521.png\" alt=\"\" class=\"wp-image-22125\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"521\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.00.39-1024x521.png\" alt=\"\" class=\"wp-image-22125\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.00.39-1024x521.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.00.39-300x153.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.00.39-768x391.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.00.39.png 1365w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Ajuste exponencial<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.11.48.png\" alt=\"\" class=\"wp-image-22132\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1348\" height=\"669\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.11.48.png\" alt=\"\" class=\"wp-image-22132\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.11.48.png 1348w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.11.48-300x149.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.11.48-1024x508.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.11.48-768x381.png 768w\" sizes=\"auto, (max-width: 1348px) 100vw, 1348px\" \/><\/noscript><\/figure>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.16.30.png\" alt=\"\" class=\"wp-image-22136\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1374\" height=\"766\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.16.30.png\" alt=\"\" class=\"wp-image-22136\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.16.30.png 1374w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.16.30-300x167.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.16.30-1024x571.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.16.30-768x428.png 768w\" sizes=\"auto, (max-width: 1374px) 100vw, 1374px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">Ajuste logar\u00edtmico<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.17.44.png\" alt=\"\" class=\"wp-image-22137\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1368\" height=\"613\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.17.44.png\" alt=\"\" class=\"wp-image-22137\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.17.44.png 1368w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.17.44-300x134.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.17.44-1024x459.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-19-a-las-16.17.44-768x344.png 768w\" sizes=\"auto, (max-width: 1368px) 100vw, 1368px\" \/><\/noscript><\/figure>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.27.53.png\" alt=\"\" class=\"wp-image-22151\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1478\" height=\"865\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.27.53.png\" alt=\"\" class=\"wp-image-22151\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.27.53.png 1478w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.27.53-300x176.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.27.53-1024x599.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.27.53-768x449.png 768w\" sizes=\"auto, (max-width: 1478px) 100vw, 1478px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">Ajuste potencial<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.29.30.png\" alt=\"\" class=\"wp-image-22153\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1235\" height=\"710\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.29.30.png\" alt=\"\" class=\"wp-image-22153\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.29.30.png 1235w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.29.30-300x172.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.29.30-1024x589.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.29.30-768x442.png 768w\" sizes=\"auto, (max-width: 1235px) 100vw, 1235px\" \/><\/noscript><\/figure>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.47.55.png\" alt=\"\" class=\"wp-image-22154\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"948\" height=\"766\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.47.55.png\" alt=\"\" class=\"wp-image-22154\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.47.55.png 948w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.47.55-300x242.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-20-a-las-9.47.55-768x621.png 768w\" sizes=\"auto, (max-width: 948px) 100vw, 948px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Observando los valores de la correlaci\u00f3n, el ajuste que m\u00e1s se apega a la curva por el m\u00e9todo de m\u00ednimos cuadrados es -0.713912958, por lo que se toma la poblaci\u00f3n del ajuste lineal de 623 habitantes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"conclusion\">Conclusi\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Para recordar:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ajustar una curva a un conjunto de datos por el m\u00e9todo de m\u00ednimos cuadrados.<\/li>\n\n\n\n<li>Proyecci\u00f3n de un modelo a partir de un ajuste de datos obtenidos.<\/li>\n\n\n\n<li>Graficar las relaciones fundamentales en un ajuste de datos por m\u00ednimos cuadrados.<\/li>\n\n\n\n<li>Encontrando el menor error posible en un ajuste de curvas por el m\u00e9todo de m\u00ednimos cuadrados podemos conocer el comportamiento de un modelo aplicable en ingenier\u00eda.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Hemos finalizado nuestra segunda sesi\u00f3n, \u00a1Muchas felicidades! Espero que hayas aprendido mucho durante esta sesi\u00f3n. Te invito a resolver las actividades asignadas para continuar con este trayecto. Te encuentro en tu tercera clase.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"fuentes-de-informacion\">Fuentes de informaci\u00f3n<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Resnick, R., Halliday, D. &amp; Walker, J. (2013). <em>F\u00edsica.<\/em> Patria.<\/li>\n\n\n\n<li>Marion, J. B. (2003).<em> Din\u00e1mica cl\u00e1sica de las part\u00edculas y sistemas<\/em>. Barcelona: Revert\u00e9.<\/li>\n\n\n\n<li>Young, H. D. y Freedman, R. A. (2009). <em>Sears, Zemansky: F\u00edsica Universitaria.<\/em> Pearson Educaci\u00f3n.<\/li>\n\n\n\n<li>Serway, R. A.&nbsp; (2006).<em> F\u00edsica para Ciencias e Ingenier\u00eda. <\/em>Thomson<\/li>\n\n\n\n<li>Alonso. (2000).<em> F\u00edsica.<\/em> Addison-Wesley.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Introducci\u00f3n \u00a1Hola! Me da gusto poder saludarte de nuevo y que contin\u00faes en este camino que vas comenzando para desarrollar tus habilidades en la mec\u00e1nica anal\u00edtica en la que conocer\u00e1s las t\u00e9cnicas para encontrar proyecciones por el m\u00e9todo de m\u00ednimos cuadrados y su aplicaci\u00f3n en la ingenier\u00eda.&nbsp;&nbsp; En el ajuste de curvas por el m\u00e9todo &#8230; <a title=\"Clase digital 2. Ajuste de curvas por m\u00ednimos cuadrados\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/rea\/clase-digital-2-ajuste-de-curvas-por-minimos-cuadrados\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 2. Ajuste de curvas por m\u00ednimos cuadrados\">Leer m\u00e1s<\/a><\/p>\n","protected":false},"author":142,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","episode_type":"","audio_file":"","podmotor_file_id":"","podmotor_episode_id":"","cover_image":"","cover_image_id":"","duration":"","filesize":"","filesize_raw":"","date_recorded":"","explicit":"","block":"","itunes_episode_number":"","itunes_title":"","itunes_season_number":"","itunes_episode_type":"","footnotes":""},"categories":[589,590],"tags":[41,592,591],"class_list":["post-22020","post","type-post","status-publish","format-standard","hentry","category-licenciatura-en-ingenieria-geomatica","category-uda-mecanica-analitica","tag-clase-digital","tag-maria-de-los-angeles-mendoza-cano","tag-neli05115"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/22020","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/comments?post=22020"}],"version-history":[{"count":5,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/22020\/revisions"}],"predecessor-version":[{"id":22615,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/22020\/revisions\/22615"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/media?parent=22020"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/categories?post=22020"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/tags?post=22020"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}