{"id":2035,"date":"2023-07-24T00:02:08","date_gmt":"2023-07-24T00:02:08","guid":{"rendered":"https:\/\/statorials.org\/pt\/regressao-logistica-vs-regressao-linear\/"},"modified":"2023-07-24T00:02:08","modified_gmt":"2023-07-24T00:02:08","slug":"regressao-logistica-vs-regressao-linear","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/regressao-logistica-vs-regressao-linear\/","title":{"rendered":"Regress\u00e3o log\u00edstica vs regress\u00e3o linear: as principais diferen\u00e7as"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dois dos modelos de regress\u00e3o mais utilizados s\u00e3o <strong>a regress\u00e3o linear<\/strong> e <strong>a regress\u00e3o log\u00edstica<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ambos os tipos de modelos de regress\u00e3o s\u00e3o usados para quantificar a rela\u00e7\u00e3o entre uma ou mais vari\u00e1veis preditoras e uma <a href=\"https:\/\/statorials.org\/pt\/respostas-explicativas-das-variaveis\/\" target=\"_blank\" rel=\"noopener\">vari\u00e1vel de resposta<\/a> , mas existem algumas diferen\u00e7as importantes entre os dois modelos:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-19057 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lineaire_vs_logistique1-1.png\" alt=\"regress\u00e3o log\u00edstica vs regress\u00e3o linear\" width=\"677\" height=\"277\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Aqui est\u00e1 um resumo das diferen\u00e7as:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Diferen\u00e7a n\u00ba 1: tipo de vari\u00e1vel de resposta<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Um modelo de regress\u00e3o linear \u00e9 usado quando a vari\u00e1vel de resposta assume um valor cont\u00ednuo tal que:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pre\u00e7o<\/span><\/li>\n<li> <span style=\"color: #000000;\">Altura<\/span><\/li>\n<li> <span style=\"color: #000000;\">Idade<\/span><\/li>\n<li> <span style=\"color: #000000;\">Dist\u00e2ncia<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Por outro lado, um modelo de regress\u00e3o log\u00edstica \u00e9 usado quando a vari\u00e1vel de resposta assume um valor categ\u00f3rico como:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">sim ou n\u00e3o<\/span><\/li>\n<li> <span style=\"color: #000000;\">Macho ou f\u00eamea<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ganhar ou n\u00e3o vencer<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Diferen\u00e7a #2: equa\u00e7\u00e3o usada<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A regress\u00e3o linear usa a seguinte equa\u00e7\u00e3o para resumir a rela\u00e7\u00e3o entre a(s) vari\u00e1vel(\u00f5es) preditora(s) e a vari\u00e1vel de resposta:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Y = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> X <sub>1<\/sub> <sub>+<\/sub> \u03b2 <sub>2<\/sub> X <sub>2<\/sub> +\u2026 + \u03b2 <sub>p<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Y: a vari\u00e1vel de resposta<\/span><\/li>\n<li> <span style=\"color: #000000;\">X <sub>j<\/sub> : a j- <sup>\u00e9sima<\/sup> vari\u00e1vel preditiva<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>j<\/sub> : O efeito m\u00e9dio em Y de um aumento de uma unidade em X <sub>j<\/sub> , mantendo todos os outros preditores fixos<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Por outro lado, a regress\u00e3o log\u00edstica usa a seguinte equa\u00e7\u00e3o:<\/span><\/p>\n<p> <span style=\"color: #000000;\">p(X) = e <sup>\u03b2 <sub>0<\/sub> + <sub>\u03b2<\/sub> <sub>1<\/sub> <sub>X<\/sub> <sub>1<\/sub> <sub>+<\/sub> <sub>\u03b2<\/sub><\/sup> <sup><sub>2<\/sub> <sub>X<\/sub> <sub>2<\/sub> <sub>+<\/sub> <sub>\u2026<\/sub> <sub>+<\/sub> <sub>\u03b2<\/sub><\/sup> p<\/span><\/p>\n<p> <span style=\"color: #000000;\">Esta equa\u00e7\u00e3o \u00e9 usada para prever a probabilidade de uma observa\u00e7\u00e3o individual cair em uma determinada categoria.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Diferen\u00e7a #3: M\u00e9todo usado para ajustar a equa\u00e7\u00e3o<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A regress\u00e3o linear usa um m\u00e9todo conhecido como <strong>m\u00ednimos quadrados ordin\u00e1rios<\/strong> para encontrar a equa\u00e7\u00e3o de regress\u00e3o mais adequada.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por outro lado, a regress\u00e3o log\u00edstica usa um m\u00e9todo conhecido como <strong>estimativa de m\u00e1xima verossimilhan\u00e7a<\/strong> para encontrar a equa\u00e7\u00e3o de regress\u00e3o mais adequada.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Diferen\u00e7a n\u00ba 4: resultado a ser previsto<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A regress\u00e3o linear prev\u00ea um valor cont\u00ednuo como sa\u00edda. Por exemplo:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pre\u00e7o ($ 150, $ 199, $ 400, etc.)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Altura (14 polegadas, 2 p\u00e9s, 94,32 cent\u00edmetros, etc.)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Idade (2 meses, 6 anos, 41,5 anos, etc.)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Dist\u00e2ncia (1,23 milhas, 4,5 quil\u00f4metros, etc.)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Por outro lado, a regress\u00e3o log\u00edstica prev\u00ea probabilidades como resultado. Por exemplo:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">40,3% de chance de ser aceito em uma universidade.<\/span><\/li>\n<li> <span style=\"color: #000000;\">93,2% de chance de ganhar um jogo.<\/span><\/li>\n<li> <span style=\"color: #000000;\">34,2% de chance de que uma lei seja aprovada.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Quando usar regress\u00e3o log\u00edstica ou linear<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Os problemas pr\u00e1ticos a seguir podem ajud\u00e1-lo a entender melhor quando usar regress\u00e3o log\u00edstica ou regress\u00e3o linear.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Problema n\u00ba 1: Renda Anual<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Suponha que um economista queira usar vari\u00e1veis preditoras (1) horas semanais trabalhadas e (2) anos de escolaridade para prever a renda anual dos indiv\u00edduos.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nesse cen\u00e1rio, ele usaria <strong>a regress\u00e3o linear<\/strong> porque a vari\u00e1vel resposta (renda anual) \u00e9 cont\u00ednua.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Problema n\u00ba 2: aceita\u00e7\u00e3o na faculdade<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Suponha que um oficial de admiss\u00e3o em uma faculdade queira usar as vari\u00e1veis preditoras (1) GPA e (2) pontua\u00e7\u00e3o ACT para prever a probabilidade de um aluno ser aceito em uma determinada universidade.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nesse cen\u00e1rio, ela usaria <strong>a regress\u00e3o log\u00edstica<\/strong> porque a vari\u00e1vel resposta \u00e9 categ\u00f3rica e s\u00f3 pode assumir dois valores: aceito ou n\u00e3o aceito.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Problema n\u00ba 3: pre\u00e7os imobili\u00e1rios<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Suponha que um corretor de im\u00f3veis queira usar as vari\u00e1veis preditoras (1) metragem quadrada, (2) n\u00famero de quartos e (3) n\u00famero de banheiros para prever os pre\u00e7os de venda de casas.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nesse cen\u00e1rio, ela usaria <strong>a regress\u00e3o linear<\/strong> porque a vari\u00e1vel resposta (pre\u00e7o) \u00e9 cont\u00ednua.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Problema n\u00ba 4: detec\u00e7\u00e3o de spam<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Suponha que um programador de computador queira usar as vari\u00e1veis preditoras (1) contagem de palavras e (2) pa\u00eds de origem para prever a probabilidade de um determinado e-mail ser spam.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nesse cen\u00e1rio, seria utilizada <strong>regress\u00e3o log\u00edstica<\/strong> porque a vari\u00e1vel resposta \u00e9 categ\u00f3rica e s\u00f3 pode assumir dois valores: spam ou n\u00e3o spam.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir oferecem mais detalhes sobre regress\u00e3o linear:<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/pt\/regressao-linear-1\/\" target=\"_blank\" rel=\"noopener\">Introdu\u00e7\u00e3o \u00e0 regress\u00e3o linear simples<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/pt\/regressao-linear-multipla\/\" target=\"_blank\" rel=\"noopener\">Introdu\u00e7\u00e3o \u00e0 regress\u00e3o linear m\u00faltipla<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/pt\/exemplos-reais-de-regressao-linear\/\" target=\"_blank\" rel=\"noopener\">4 exemplos de uso de regress\u00e3o linear na vida real<\/a><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir oferecem mais detalhes sobre regress\u00e3o log\u00edstica:<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/pt\/regressao-logistica-1\/\" target=\"_blank\" rel=\"noopener\">Introdu\u00e7\u00e3o \u00e0 regress\u00e3o log\u00edstica<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/pt\/exemplos-reais-de-regressao-logistica\/\" target=\"_blank\" rel=\"noopener\">4 exemplos de uso de regress\u00e3o log\u00edstica na vida real<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Dois dos modelos de regress\u00e3o mais utilizados s\u00e3o a regress\u00e3o linear e a regress\u00e3o log\u00edstica . Ambos os tipos de modelos de regress\u00e3o s\u00e3o usados para quantificar a rela\u00e7\u00e3o entre uma ou mais vari\u00e1veis preditoras e uma vari\u00e1vel de resposta , mas existem algumas diferen\u00e7as importantes entre os dois modelos: Aqui est\u00e1 um resumo das [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2035","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Regress\u00e3o log\u00edstica vs regress\u00e3o linear: as principais diferen\u00e7as - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial explica a diferen\u00e7a entre regress\u00e3o log\u00edstica e regress\u00e3o linear, com v\u00e1rios exemplos.\" \/>\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-logistica-vs-regressao-linear\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regress\u00e3o log\u00edstica vs regress\u00e3o linear: as principais diferen\u00e7as - 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