{"id":313,"date":"2023-08-02T15:47:59","date_gmt":"2023-08-02T15:47:59","guid":{"rendered":"https:\/\/statorials.org\/pt\/regressao-logaritmica\/"},"modified":"2023-08-02T15:47:59","modified_gmt":"2023-08-02T15:47:59","slug":"regressao-logaritmica","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/regressao-logaritmica\/","title":{"rendered":"Regress\u00e3o logar\u00edtmica"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 regress\u00e3o logar\u00edtmica e como ela \u00e9 realizada. Al\u00e9m disso, voc\u00ea pode ver um exemplo de regress\u00e3o logar\u00edtmica para compreender totalmente o conceito. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regresion-logaritmica\"><\/span> O que \u00e9 regress\u00e3o logar\u00edtmica?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>A regress\u00e3o logar\u00edtmica<\/strong> \u00e9 um modelo de regress\u00e3o que inclui um logaritmo em sua equa\u00e7\u00e3o. Especificamente, em uma regress\u00e3o logar\u00edtmica, \u00e9 obtido o logaritmo da vari\u00e1vel independente. Portanto, a equa\u00e7\u00e3o para um modelo de regress\u00e3o logar\u00edtmica \u00e9 y=a+b\u00b7ln(x).<\/p>\n<p> A regress\u00e3o logar\u00edtmica \u00e9 muito \u00fatil para ajustar um modelo de regress\u00e3o quando os dados amostrais formam uma curva logar\u00edtmica, para que o modelo de regress\u00e3o se ajuste melhor aos dados amostrais. Abaixo veremos quando voc\u00ea deve realizar a regress\u00e3o logar\u00edtmica.<\/p>\n<p> Assim, a regress\u00e3o logar\u00edtmica \u00e9 um tipo de regress\u00e3o n\u00e3o linear, assim como a regress\u00e3o exponencial e a regress\u00e3o polinomial. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regresion-logaritmica\"><\/span> F\u00f3rmula de regress\u00e3o logar\u00edtmica<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Um modelo de regress\u00e3o logar\u00edtmica envolve tomar o logaritmo da vari\u00e1vel independente. Portanto, a <strong>f\u00f3rmula para a equa\u00e7\u00e3o de uma regress\u00e3o logar\u00edtmica<\/strong> \u00e9 y=a+b\u00b7ln(x).<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a355142e5990989ce95537fdee5dd998_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=a+b\\cdot \\ln(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"122\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Ouro:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-38461fc041e953482219abf5d4cce1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a vari\u00e1vel dependente.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7e5fbfa0bbbd9f3051cd156a0f1b5e31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a vari\u00e1vel independente.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-968cb9a45b5c3a79cc29326ff362955b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a,b\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"25\" style=\"vertical-align: -4px;\"><\/p>\n<p> s\u00e3o os coeficientes de regress\u00e3o.<\/li>\n<\/ul>\n<p> Observe que y=a+b\u00b7ln(x) \u00e9 na verdade a equa\u00e7\u00e3o de uma reta, mas em vez de se referir \u00e0s vari\u00e1veis originais x e y, refere-se \u00e0s vari\u00e1veis ln(x) e y. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuando-hacer-una-regresion-logaritmica\"><\/span> Quando fazer regress\u00e3o logar\u00edtmica?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Precisamos realizar a regress\u00e3o logar\u00edtmica quando o gr\u00e1fico dos dados amostrais for uma curva logar\u00edtmica, ou seja, quando o gr\u00e1fico dos pontos for semelhante ao gr\u00e1fico de uma fun\u00e7\u00e3o logar\u00edtmica.<\/p>\n<p> Observe o gr\u00e1fico de dispers\u00e3o abaixo, um modelo de regress\u00e3o linear foi ajustado a um conjunto de dados. Como voc\u00ea pode ver, a linha n\u00e3o \u00e9 uma m\u00e1 aproxima\u00e7\u00e3o dos dados, por\u00e9m, se voc\u00ea tomar cuidado, os valores aumentam mais rapidamente no in\u00edcio do gr\u00e1fico do que no final, ent\u00e3o a linha n\u00e3o corresponde completamente \u00e0s observa\u00e7\u00f5es . <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rlog-faux.png\" alt=\"\" class=\"wp-image-6793\" width=\"411\" height=\"281\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Portanto, vale a pena tentar criar um modelo de regress\u00e3o logar\u00edtmica, porque parece que os dados seguem uma curva logar\u00edtmica. O resultado obtido do modelo de regress\u00e3o logar\u00edtmica \u00e9 o seguinte: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-de-regression-log.png\" alt=\"exemplo de regress\u00e3o logar\u00edtmica\" class=\"wp-image-6794\" width=\"425\" height=\"289\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Como voc\u00ea pode ver no gr\u00e1fico anterior, o modelo de regress\u00e3o logar\u00edtmica resultante se ajusta melhor aos dados da amostra. Na verdade, o coeficiente de determina\u00e7\u00e3o aumentou de 66,87% para 80,05%, pelo que o modelo pode agora explicar melhor a amostra de dados. Portanto, neste caso, \u00e9 melhor utilizar a regress\u00e3o log\u00edstica para encontrar uma equa\u00e7\u00e3o que se aproxime do valor dos dados. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otros-tipos-de-regresion-no-lineal\"><\/span> Outros tipos de regress\u00e3o n\u00e3o linear<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Os tr\u00eas casos mais comuns de regress\u00e3o n\u00e3o linear s\u00e3o:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Regress\u00e3o logar\u00edtmica<\/strong> : \u00e9 obtido o logaritmo da vari\u00e1vel independente.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Regress\u00e3o exponencial<\/strong> : A vari\u00e1vel independente \u00e9 o expoente da equa\u00e7\u00e3o.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Regress\u00e3o Polinomial<\/strong> : A equa\u00e7\u00e3o do modelo de regress\u00e3o est\u00e1 na forma de um polin\u00f4mio.<\/span> <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/regressao-exponencial\/\">Regress\u00e3o Exponencial<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/regressao-polinomial-1\/\">Regress\u00e3o polinomial<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 regress\u00e3o logar\u00edtmica e como ela \u00e9 realizada. Al\u00e9m disso, voc\u00ea pode ver um exemplo de regress\u00e3o logar\u00edtmica para compreender totalmente o conceito. O que \u00e9 regress\u00e3o logar\u00edtmica? A regress\u00e3o logar\u00edtmica \u00e9 um modelo de regress\u00e3o que inclui um logaritmo em sua equa\u00e7\u00e3o. Especificamente, em uma regress\u00e3o logar\u00edtmica, \u00e9 obtido [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-313","post","type-post","status-publish","format-standard","hentry","category-estatisticas"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7Regress\u00e3o logar\u00edtmica<\/title>\n<meta name=\"description\" content=\"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 regress\u00e3o logar\u00edtmica, como realizar a regress\u00e3o logar\u00edtmica (f\u00f3rmula) e exemplos de regress\u00f5es logar\u00edtmicas.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pt\/regressao-logaritmica\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7Regress\u00e3o logar\u00edtmica\" \/>\n<meta property=\"og:description\" content=\"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 regress\u00e3o logar\u00edtmica, como realizar a regress\u00e3o logar\u00edtmica (f\u00f3rmula) e exemplos de regress\u00f5es logar\u00edtmicas.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/regressao-logaritmica\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-02T15:47:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a355142e5990989ce95537fdee5dd998_l3.png\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/regressao-logaritmica\/\",\"url\":\"https:\/\/statorials.org\/pt\/regressao-logaritmica\/\",\"name\":\"\u25b7Regress\u00e3o logar\u00edtmica\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-08-02T15:47:59+00:00\",\"dateModified\":\"2023-08-02T15:47:59+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 regress\u00e3o logar\u00edtmica, como realizar a regress\u00e3o logar\u00edtmica (f\u00f3rmula) e exemplos de regress\u00f5es logar\u00edtmicas.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/regressao-logaritmica\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/regressao-logaritmica\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/regressao-logaritmica\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Regress\u00e3o logar\u00edtmica\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. 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