{"id":1446,"date":"2023-07-26T08:45:28","date_gmt":"2023-07-26T08:45:28","guid":{"rendered":"https:\/\/statorials.org\/pt\/regressao-polinomial-planilhas-do-google\/"},"modified":"2023-07-26T08:45:28","modified_gmt":"2023-07-26T08:45:28","slug":"regressao-polinomial-planilhas-do-google","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/regressao-polinomial-planilhas-do-google\/","title":{"rendered":"Regress\u00e3o polinomial no planilhas google (passo a passo)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">A an\u00e1lise de regress\u00e3o \u00e9 usada 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 noreferrer\">vari\u00e1vel de resposta<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">O tipo mais comum de an\u00e1lise de regress\u00e3o \u00e9 <a href=\"https:\/\/statorials.org\/pt\/regressao-linear-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">a regress\u00e3o linear simples<\/a> , usada quando uma vari\u00e1vel preditora e uma vari\u00e1vel resposta possuem um relacionamento linear.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8174 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polynomeexcel1.png\" alt=\"Rela\u00e7\u00e3o linear entre duas vari\u00e1veis\" width=\"475\" height=\"355\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">No entanto, \u00e0s vezes a rela\u00e7\u00e3o entre uma vari\u00e1vel preditora e uma vari\u00e1vel de resposta \u00e9 n\u00e3o linear.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8175 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polynomeexcel2.png\" alt=\"Exemplo de relacionamento quadr\u00e1tico\" width=\"472\" height=\"357\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8176 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polynomeexcel3.png\" alt=\"Exemplo de rela\u00e7\u00f5es c\u00fabicas\" width=\"473\" height=\"355\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Nestes casos, faz sentido utilizar <strong>a regress\u00e3o polinomial<\/strong> , que pode dar conta da rela\u00e7\u00e3o n\u00e3o linear entre as vari\u00e1veis.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Este tutorial fornece um exemplo passo a passo de como realizar regress\u00e3o polinomial no Planilhas Google.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Etapa 1: crie os dados<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Primeiro, vamos criar um conjunto de dados falso com os seguintes valores:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14306 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polyregfeuilles1.png\" alt=\"\" width=\"452\" height=\"410\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Etapa 2: crie um gr\u00e1fico de dispers\u00e3o<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A seguir, criaremos um gr\u00e1fico de dispers\u00e3o para visualizar os dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Primeiro, destaque as c\u00e9lulas <strong>A2:B11<\/strong> da seguinte forma:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14307 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polyregfeuilles2.png\" alt=\"\" width=\"399\" height=\"365\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Em seguida, clique na guia <strong>Inserir<\/strong> e clique em <strong>Gr\u00e1fico<\/strong> no menu suspenso:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14308 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polyregfeuilles3.png\" alt=\"\" width=\"431\" height=\"457\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Por padr\u00e3o, o Planilhas Google inserir\u00e1 um gr\u00e1fico de dispers\u00e3o:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14309 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polyregfeuilles4.png\" alt=\"\" width=\"459\" height=\"410\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Etapa 3: Encontre a equa\u00e7\u00e3o de regress\u00e3o polinomial<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Em seguida, clique duas vezes em qualquer lugar do gr\u00e1fico de dispers\u00e3o para exibir a janela do <strong>editor de gr\u00e1fico<\/strong> \u00e0 direita:<\/span><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14310 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polyregfeuilles5.png\" alt=\"\" width=\"280\" height=\"488\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Em seguida, <strong>clique em S\u00e9rie<\/strong> . Em seguida, role para baixo e marque a caixa ao lado de <strong>Trendline<\/strong> e altere o Type para <strong>Polynomial<\/strong> . Para Label, escolha <strong>Use Equation<\/strong> e marque a caixa ao lado de <strong>Show <sup>R2<\/sup><\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14311 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polyregfeuilles6.png\" alt=\"\" width=\"262\" height=\"518\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Isso far\u00e1 com que a seguinte f\u00f3rmula apare\u00e7a acima do gr\u00e1fico de dispers\u00e3o:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14313 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polyregfeuilles7.png\" alt=\"Regress\u00e3o polinomial no Planilhas Google\" width=\"553\" height=\"339\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos ver que a equa\u00e7\u00e3o de regress\u00e3o polinomial ajustada \u00e9:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = 9,45 + 2,1x \u2013 0,0188x <sup>2<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">O R ao quadrado para este modelo \u00e9 <strong>0,718<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Lembre-se de que <a href=\"https:\/\/statorials.org\/pt\/bom-valor-de-r-ao-quadrado\/\" target=\"_blank\" rel=\"noopener\">R ao quadrado<\/a> nos diz a porcentagem de varia\u00e7\u00e3o na vari\u00e1vel resposta que pode ser explicada pelas vari\u00e1veis preditoras. Quanto maior o valor, melhor o modelo.<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">A seguir, altere o grau do polin\u00f4mio para 3 no editor gr\u00e1fico:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14314 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polyregfeuilles8.png\" alt=\"Alterar o grau do polin\u00f4mio no Planilhas Google\" width=\"269\" height=\"539\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Isso far\u00e1 com que a seguinte f\u00f3rmula apare\u00e7a acima do gr\u00e1fico de dispers\u00e3o:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14315 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polyregfeuilles9.png\" alt=\"Regress\u00e3o C\u00fabica no Planilhas Google\" width=\"555\" height=\"333\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Isso altera a equa\u00e7\u00e3o de regress\u00e3o polinomial ajustada para:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = 37,2 \u2013 14,2x + 2,64x <sup>2<\/sup> \u2013 0,126x <sup>3<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">O R ao quadrado para este modelo \u00e9 <strong>0,976<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Observe que o R-quadrado deste modelo \u00e9 significativamente maior do que o do modelo de regress\u00e3o polinomial com grau 2. Isso sugere que este modelo de regress\u00e3o \u00e9 significativamente melhor na captura da tend\u00eancia dos dados subjacentes.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Se voc\u00ea alterar o grau do polin\u00f4mio para 4, o R ao quadrado mal aumentar\u00e1 para <strong>0,981<\/strong> . Isto sugere que um modelo de regress\u00e3o polinomial de grau 3 \u00e9 suficiente para capturar a tend\u00eancia nestes dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar a equa\u00e7\u00e3o de regress\u00e3o ajustada para encontrar o valor esperado da vari\u00e1vel resposta, dado um determinado valor da vari\u00e1vel preditora. Por exemplo, se <em>x<\/em> = 4 ent\u00e3o o valor esperado para <em>y<\/em> seria:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = 37,2 \u2013 14,2(4) + 2,64(4) <sup>2<\/sup> \u2013 0,126(4) <sup>3<\/sup> = <strong>14,576<\/strong><\/span><\/p>\n<hr>\n<p> <span style=\"color: #000000;\"><em>Voc\u00ea pode encontrar outros tutoriais do Planilhas Google <a href=\"https:\/\/statorials.org\/pt\/estatologia-explica-conceitos-de-forma-simples-e-direta-facilitamos-o-aprendizado-de-estatistica\/\" target=\"_blank\" rel=\"noopener\">nesta p\u00e1gina<\/a> .<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A an\u00e1lise de regress\u00e3o \u00e9 usada para quantificar a rela\u00e7\u00e3o entre uma ou mais vari\u00e1veis preditoras e uma vari\u00e1vel de resposta . O tipo mais comum de an\u00e1lise de regress\u00e3o \u00e9 a regress\u00e3o linear simples , usada quando uma vari\u00e1vel preditora e uma vari\u00e1vel resposta possuem um relacionamento linear. No entanto, \u00e0s vezes a rela\u00e7\u00e3o [&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-1446","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 polinomial no Planilhas Google (passo a passo)<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como realizar regress\u00e3o polinomial no Planilhas Google, 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\/regressao-polinomial-planilhas-do-google\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regress\u00e3o polinomial no Planilhas Google (passo a passo)\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como realizar regress\u00e3o polinomial no Planilhas Google, com um exemplo passo a passo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/regressao-polinomial-planilhas-do-google\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T08:45:28+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polynomeexcel1.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-polinomial-planilhas-do-google\/\",\"url\":\"https:\/\/statorials.org\/pt\/regressao-polinomial-planilhas-do-google\/\",\"name\":\"Regress\u00e3o polinomial no Planilhas Google (passo a passo)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-26T08:45:28+00:00\",\"dateModified\":\"2023-07-26T08:45:28+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como realizar regress\u00e3o polinomial no Planilhas Google, com um exemplo passo a passo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/regressao-polinomial-planilhas-do-google\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/regressao-polinomial-planilhas-do-google\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/regressao-polinomial-planilhas-do-google\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Regress\u00e3o polinomial no planilhas google (passo a passo)\"}]},{\"@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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