{"id":2261,"date":"2023-07-23T00:59:23","date_gmt":"2023-07-23T00:59:23","guid":{"rendered":"https:\/\/statorials.org\/pt\/teste-t-de-regressao-linear\/"},"modified":"2023-07-23T00:59:23","modified_gmt":"2023-07-23T00:59:23","slug":"teste-t-de-regressao-linear","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/teste-t-de-regressao-linear\/","title":{"rendered":"Compreendendo o teste t em regress\u00e3o linear"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>A regress\u00e3o linear<\/strong> \u00e9 usada para quantificar a rela\u00e7\u00e3o entre uma vari\u00e1vel preditora e uma vari\u00e1vel de resposta.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sempre que realizamos uma regress\u00e3o linear, queremos saber se existe uma rela\u00e7\u00e3o estatisticamente significativa entre a vari\u00e1vel preditora e a vari\u00e1vel resposta.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Testamos a signific\u00e2ncia realizando um teste t para a inclina\u00e7\u00e3o da regress\u00e3o. Usamos a seguinte hip\u00f3tese nula e alternativa para este teste t:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u03b2 <sub>1<\/sub> = 0 (a inclina\u00e7\u00e3o \u00e9 igual a zero)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u03b2 <sub>1<\/sub> \u2260 0 (a inclina\u00e7\u00e3o n\u00e3o \u00e9 igual a zero)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Em seguida, calculamos a estat\u00edstica de teste da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>t<\/em> = <em>b<\/em> \/ SE <sub><em>b<\/em><\/sub><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em><strong>b<\/strong> :<\/em> estimativa do coeficiente<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>SE <sub><em>b<\/em><\/sub><\/strong> : erro padr\u00e3o da estimativa do coeficiente<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Se o valor p que corresponde a <em>t<\/em> estiver abaixo de um determinado limite (por exemplo, \u03b1 = 0,05), ent\u00e3o rejeitamos a hip\u00f3tese nula e conclu\u00edmos que existe uma rela\u00e7\u00e3o estatisticamente significativa entre a vari\u00e1vel preditora e a vari\u00e1vel resposta.<\/span><\/p>\n<p> <span style=\"color: #000000;\">O exemplo a seguir mostra como realizar um teste t para um modelo de regress\u00e3o linear na pr\u00e1tica.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo: executando um teste t para regress\u00e3o linear<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que um professor queira analisar a rela\u00e7\u00e3o entre as horas estudadas e as notas dos exames de 40 de seus alunos.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Realiza uma regress\u00e3o linear simples usando horas estudadas como vari\u00e1vel preditora e notas de exames recebidas como vari\u00e1vel resposta.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A tabela a seguir mostra os resultados do modelo de regress\u00e3o:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20634 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/testreg1-1.png\" alt=\"\" width=\"513\" height=\"117\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Para determinar se as horas estudadas t\u00eam rela\u00e7\u00e3o estatisticamente significativa com a nota do exame final, podemos realizar um teste t.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Usamos a seguinte hip\u00f3tese nula e alternativa para este teste t:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u03b2 <sub>1<\/sub> = 0 (a inclina\u00e7\u00e3o das horas estudadas \u00e9 igual a zero)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u03b2 <sub>1<\/sub> \u2260 0 (a inclina\u00e7\u00e3o das horas estudadas n\u00e3o \u00e9 igual a zero)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Em seguida, calculamos a estat\u00edstica de teste da seguinte forma:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em>t<\/em> = <em>b<\/em> \/ SE <sub><em>b<\/em><\/sub><\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>t<\/em> = 1,117 \/ 1,025<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>t<\/em> = 1,089<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">O valor p que corresponde a <em>t<\/em> = 1,089 com df = n-2 = 40 \u2013 2 = 38 \u00e9 <strong>0,283<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Observe que tamb\u00e9m podemos usar a <a href=\"https:\/\/statorials.org\/pt\/calculadora-de-valor-p-de-pontuacao-t\/\" target=\"_blank\" rel=\"noopener\">calculadora de pontua\u00e7\u00e3o T para valor P<\/a> para calcular este valor p:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20635 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/testreg2.png\" alt=\"\" width=\"303\" height=\"643\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Como esse valor p n\u00e3o \u00e9 inferior a 0,05, n\u00e3o rejeitamos a hip\u00f3tese nula.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Isso significa que as horas estudadas <em>n\u00e3o apresentam<\/em> rela\u00e7\u00e3o estatisticamente significativa entre os resultados dos exames finais.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir fornecem informa\u00e7\u00f5es adicionais sobre regress\u00e3o linear:<\/span><\/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><br \/> <a href=\"https:\/\/statorials.org\/pt\/um-guia-simples-para-compreender-o-teste-f-para-significancia-geral-na-regressao\/\" target=\"_blank\" rel=\"noopener\">Como interpretar o teste F para signific\u00e2ncia geral na regress\u00e3o<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A regress\u00e3o linear \u00e9 usada para quantificar a rela\u00e7\u00e3o entre uma vari\u00e1vel preditora e uma vari\u00e1vel de resposta. Sempre que realizamos uma regress\u00e3o linear, queremos saber se existe uma rela\u00e7\u00e3o estatisticamente significativa entre a vari\u00e1vel preditora e a vari\u00e1vel resposta. Testamos a signific\u00e2ncia realizando um teste t para a inclina\u00e7\u00e3o da regress\u00e3o. Usamos a seguinte [&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-2261","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>Compreendendo o teste t em regress\u00e3o linear - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial fornece uma explica\u00e7\u00e3o completa do teste t usado na regress\u00e3o linear, incluindo um exemplo.\" \/>\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\/teste-t-de-regressao-linear\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Compreendendo o teste t em regress\u00e3o linear - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Este tutorial fornece uma explica\u00e7\u00e3o completa do teste t usado na regress\u00e3o linear, incluindo um exemplo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/teste-t-de-regressao-linear\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-23T00:59:23+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/testreg1-1.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=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/teste-t-de-regressao-linear\/\",\"url\":\"https:\/\/statorials.org\/pt\/teste-t-de-regressao-linear\/\",\"name\":\"Compreendendo o teste t em regress\u00e3o linear - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-23T00:59:23+00:00\",\"dateModified\":\"2023-07-23T00:59:23+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial fornece uma explica\u00e7\u00e3o completa do teste t usado na regress\u00e3o linear, incluindo um exemplo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/teste-t-de-regressao-linear\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/teste-t-de-regressao-linear\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/teste-t-de-regressao-linear\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Compreendendo o teste t em regress\u00e3o linear\"}]},{\"@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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