{"id":4138,"date":"2023-07-13T08:30:26","date_gmt":"2023-07-13T08:30:26","guid":{"rendered":"https:\/\/statorials.org\/pt\/encontre-a-equacao-de-regressao-linear-da-tabela\/"},"modified":"2023-07-13T08:30:26","modified_gmt":"2023-07-13T08:30:26","slug":"encontre-a-equacao-de-regressao-linear-da-tabela","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/encontre-a-equacao-de-regressao-linear-da-tabela\/","title":{"rendered":"Como encontrar a equa\u00e7\u00e3o de regress\u00e3o linear em uma tabela"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Muitas vezes voc\u00ea pode querer encontrar uma equa\u00e7\u00e3o de regress\u00e3o linear a partir de uma tabela de dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, suponha que voc\u00ea receba a seguinte tabela de dados:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-32869 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/equation_from_table1.png\" alt=\"\" width=\"151\" height=\"326\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O exemplo passo a passo a seguir mostra como encontrar uma equa\u00e7\u00e3o de regress\u00e3o linear nesta tabela de dados.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Etapa 1: Calcular X*Y, X <sup>2<\/sup> e Y <sup>2<\/sup><\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Primeiro, calcularemos as seguintes m\u00e9tricas para cada linha:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">x * y<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sup>x2<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">e <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A captura de tela a seguir mostra como fazer isso:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-32870 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/etable1.png\" alt=\"\" width=\"403\" height=\"355\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Etapa 2: Calcular \u03a3X, \u03a3Y, \u03a3X*Y, \u03a3X <sup>2<\/sup> e \u03a3Y <sup>2<\/sup><\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A seguir, calcularemos a soma de cada coluna:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-32871 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/etable2.png\" alt=\"\" width=\"460\" height=\"378\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Etapa 3: Calcular b <sub>0<\/sub><\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A f\u00f3rmula para calcular o intercepto da equa\u00e7\u00e3o de regress\u00e3o, b <sub>0<\/sub> , \u00e9:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">b <sub>0<\/sub> = ((\u03a3y)(\u03a3x <sup>2<\/sup> ) \u2013 (\u03a3x)(\u03a3xy)) \/ (n(\u03a3x <sup>2<\/sup> ) \u2013 (\u03a3x) <sup>2<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">b <sub>0<\/sub> = ((128)(831) \u2013 (85)(1258)) \/ (10(831) \u2013 (85) <sup>2<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>b0<\/sub> = -0,518<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Nota<\/strong> : Na f\u00f3rmula, <em>n<\/em> representa o n\u00famero total de observa\u00e7\u00f5es. Neste exemplo, houve 10 observa\u00e7\u00f5es no total.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Etapa 4: Calcule b <sub>1<\/sub><\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A f\u00f3rmula para calcular a inclina\u00e7\u00e3o da equa\u00e7\u00e3o de regress\u00e3o, b <sub>1<\/sub> , \u00e9:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">b <sub>1<\/sub> = (n(\u03a3xy) \u2013 (\u03a3x)(\u03a3y)) \/ (n(\u03a3x <sup>2<\/sup> ) \u2013 (\u03a3x) <sup>2<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">b <sub>1<\/sub> = (10(1258) \u2013 (85)(128)) \/ (10(831) \u2013 (85) <sup>2<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>b1<\/sub> = 1,5668<\/strong><\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>Etapa 5: Escreva a equa\u00e7\u00e3o de regress\u00e3o linear<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A equa\u00e7\u00e3o de regress\u00e3o linear final pode ser escrita como:<\/span><\/p>\n<ul>\n<li> <strong><span style=\"color: #000000;\">\u0177=b <sub>0<\/sub> + b <sub>1<\/sub> x<\/span><\/strong><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Portanto, nossa equa\u00e7\u00e3o de regress\u00e3o linear seria escrita da seguinte forma:<\/span><\/p>\n<ul>\n<li> <strong><span style=\"color: #000000;\">\u0177 = -0,518 + 1,5668x<\/span><\/strong><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Podemos verificar se esta resposta est\u00e1 correta inserindo os valores da tabela na<a href=\"https:\/\/statorials.org\/pt\/calculadora-de-regressao-linear\/\" target=\"_blank\" rel=\"noopener\">calculadora de regress\u00e3o linear simples<\/a> :<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-32872 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/etable3.png\" alt=\"\" width=\"364\" height=\"635\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos ver que a equa\u00e7\u00e3o de regress\u00e3o linear da calculadora corresponde \u00e0quela que calculamos manualmente.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h2>\n<p> Os tutoriais a seguir fornecem informa\u00e7\u00f5es adicionais sobre regress\u00e3o linear:<\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/regressao-linear-1\/\" target=\"_blank\" rel=\"noopener\">Introdu\u00e7\u00e3o \u00e0 regress\u00e3o linear simples<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/regressao-linear-multipla\/\" target=\"_blank\" rel=\"noopener\">Introdu\u00e7\u00e3o \u00e0 regress\u00e3o linear m\u00faltipla<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/como-interpretar-coeficientes-de-regressao\/\" target=\"_blank\" rel=\"noopener\">Como interpretar coeficientes de regress\u00e3o<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Muitas vezes voc\u00ea pode querer encontrar uma equa\u00e7\u00e3o de regress\u00e3o linear a partir de uma tabela de dados. Por exemplo, suponha que voc\u00ea receba a seguinte tabela de dados: O exemplo passo a passo a seguir mostra como encontrar uma equa\u00e7\u00e3o de regress\u00e3o linear nesta tabela de dados. Etapa 1: Calcular X*Y, X 2 e [&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-4138","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>Como encontrar uma equa\u00e7\u00e3o de regress\u00e3o linear a partir de uma tabela - Statorials<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como encontrar uma equa\u00e7\u00e3o de regress\u00e3o linear a partir de uma tabela de dados, com um exemplo passo a passo.\" \/>\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\/encontre-a-equacao-de-regressao-linear-da-tabela\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como encontrar uma equa\u00e7\u00e3o de regress\u00e3o linear a partir de uma tabela - Statorials\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como encontrar uma equa\u00e7\u00e3o de regress\u00e3o linear a partir de uma tabela de dados, com um exemplo passo a passo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/encontre-a-equacao-de-regressao-linear-da-tabela\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-13T08:30:26+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/equation_from_table1.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=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/encontre-a-equacao-de-regressao-linear-da-tabela\/\",\"url\":\"https:\/\/statorials.org\/pt\/encontre-a-equacao-de-regressao-linear-da-tabela\/\",\"name\":\"Como encontrar uma equa\u00e7\u00e3o de regress\u00e3o linear a partir de uma tabela - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-13T08:30:26+00:00\",\"dateModified\":\"2023-07-13T08:30:26+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como encontrar uma equa\u00e7\u00e3o de regress\u00e3o linear a partir de uma tabela de dados, com um exemplo passo a passo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/encontre-a-equacao-de-regressao-linear-da-tabela\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/encontre-a-equacao-de-regressao-linear-da-tabela\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/encontre-a-equacao-de-regressao-linear-da-tabela\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como encontrar a equa\u00e7\u00e3o de regress\u00e3o linear em uma tabela\"}]},{\"@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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