{"id":5817,"date":"2024-11-22T11:05:58","date_gmt":"2024-11-22T17:05:58","guid":{"rendered":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/?page_id=5817"},"modified":"2024-11-22T11:05:58","modified_gmt":"2024-11-22T17:05:58","slug":"mn4c","status":"publish","type":"page","link":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-4\/mn4c\/","title":{"rendered":"mn4c M\u00ednimos Cuadrados"},"content":{"rendered":"\n<p>Este m\u00e9todo desarrolla ecuaciones polinomiales para obtener &#8220;el mejor ajuste&#8221; que sea intuitivamente razonable y que permita predecir <em><strong>f(x)<\/strong><\/em> para un valor dado de <em><strong>x<\/strong><\/em>.<\/p>\n\n\n\n<p>El principio de los m\u00ednimos cuadrados se puede enunciar en la forma siguiente. T\u00f3mese como la l\u00ednea de &#8220;mejor ajuste&#8221; aquella que minimiza las desviaciones de los valores observados de y a los valores esperados por f(x). <\/p>\n\n\n\n<p>Expresado matem\u00e1ticamente, se debe minimizar el error de <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"649\" height=\"184\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-129.png\" alt=\"\" class=\"wp-image-5931\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-129.png 649w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-129-300x85.png 300w\" sizes=\"(max-width: 649px) 100vw, 649px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"664\" height=\"390\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-122.png\" alt=\"\" class=\"wp-image-5920\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-122.png 664w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-122-300x176.png 300w\" sizes=\"(max-width: 664px) 100vw, 664px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"665\" height=\"573\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-123.png\" alt=\"\" class=\"wp-image-5922\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-123.png 665w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-123-300x258.png 300w\" sizes=\"(max-width: 665px) 100vw, 665px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"664\" height=\"510\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-124.png\" alt=\"\" class=\"wp-image-5923\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-124.png 664w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-124-300x230.png 300w\" sizes=\"(max-width: 664px) 100vw, 664px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"664\" height=\"577\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-125.png\" alt=\"\" class=\"wp-image-5924\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-125.png 664w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-125-300x261.png 300w\" sizes=\"(max-width: 664px) 100vw, 664px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"346\" height=\"93\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-127.png\" alt=\"\" class=\"wp-image-5928\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-127.png 346w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-127-300x81.png 300w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><\/figure>\n\n\n\n<p>Resolviendo simult\u00e1neamente por  alg\u00fan m\u00e9todo estudiado en la unidad 3; se llega<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"591\" height=\"120\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-128.png\" alt=\"\" class=\"wp-image-5929\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-128.png 591w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-128-300x61.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/figure>\n\n\n\n<div class=\"is-content-justification-center is-layout-flex wp-container-1 wp-block-buttons\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-4\/\">regresar<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Este m\u00e9todo desarrolla ecuaciones polinomiales para obtener &#8220;el mejor ajuste&#8221; que sea intuitivamente razonable y que permita predecir f(x) para un valor dado de x. El principio de los m\u00ednimos cuadrados se puede enunciar en la forma siguiente. T\u00f3mese como la l\u00ednea de &#8220;mejor ajuste&#8221; aquella que minimiza las desviaciones de los valores observados de &hellip; <a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-4\/mn4c\/\" class=\"more-link\">Contin\u00faa leyendo <span class=\"screen-reader-text\">mn4c M\u00ednimos Cuadrados<\/span><\/a><\/p>\n","protected":false},"author":123458,"featured_media":0,"parent":439,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0},"_links":{"self":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/5817"}],"collection":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/users\/123458"}],"replies":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/comments?post=5817"}],"version-history":[{"count":5,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/5817\/revisions"}],"predecessor-version":[{"id":5932,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/5817\/revisions\/5932"}],"up":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/439"}],"wp:attachment":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/media?parent=5817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}