{"id":1965,"date":"2023-07-24T06:50:02","date_gmt":"2023-07-24T06:50:02","guid":{"rendered":"https:\/\/statorials.org\/pt\/tracar-regressao-polinomial-em-r\/"},"modified":"2023-07-24T06:50:02","modified_gmt":"2023-07-24T06:50:02","slug":"tracar-regressao-polinomial-em-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/tracar-regressao-polinomial-em-r\/","title":{"rendered":"Como tra\u00e7ar uma curva de regress\u00e3o polinomial em r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>A regress\u00e3o polinomial<\/strong> \u00e9 uma t\u00e9cnica de regress\u00e3o que usamos quando o relacionamento entre uma vari\u00e1vel preditora e uma <a href=\"https:\/\/statorials.org\/pt\/respostas-explicativas-das-variaveis\/\" target=\"_blank\" rel=\"noopener noreferrer\">vari\u00e1vel de resposta<\/a> \u00e9 n\u00e3o linear.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Este tutorial explica como tra\u00e7ar uma curva de regress\u00e3o polinomial em R.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Relacionado:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/tipos-de-regressao\/\" target=\"_blank\" rel=\"noopener\">Os 7 tipos mais comuns de regress\u00e3o<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo: tra\u00e7ando uma curva de regress\u00e3o polinomial em R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como ajustar um modelo de regress\u00e3o polinomial a um conjunto de dados e, em seguida, tra\u00e7ar a curva de regress\u00e3o polinomial nos dados brutos em um gr\u00e1fico de dispers\u00e3o:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data\n<\/span>x &lt;- runif(50, 5, 15)\ny &lt;- 0.1*x^3 - 0.5 * x^2 - x + 5 + rnorm(length(x),0,10) \n \n<span style=\"color: #008080;\">#plot x vs. y\n<\/span>plot(x, y, pch= <span style=\"color: #008000;\">16<\/span> , cex= <span style=\"color: #008000;\">1.5<\/span> ) \n \n<span style=\"color: #008080;\">#fit polynomial regression model\n<\/span>fit &lt;- lm(y ~ x + I(x^2) + I(x^3))\n \n<span style=\"color: #008080;\">#use model to get predicted values\n<\/span>pred &lt;- predict(fit)\nix &lt;- sort(x, index. <span style=\"color: #3366ff;\">return<\/span> = <span style=\"color: #008000;\">T<\/span> )$ix\n\n<span style=\"color: #008080;\">#add polynomial curve to plot\n<\/span>lines(x[ix], pred[ix], col=' <span style=\"color: #ff0000;\">red<\/span> ', lwd= <span style=\"color: #008000;\">2<\/span> )\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-18605\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polycourbe1.png\" alt=\"tra\u00e7ar curva de regress\u00e3o polinomial em R\" width=\"535\" height=\"442\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tamb\u00e9m podemos adicionar a equa\u00e7\u00e3o de regress\u00e3o polinomial ajustada ao gr\u00e1fico usando a fun\u00e7\u00e3o <strong>text()<\/strong> :<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data\n<\/span>x &lt;- runif(50, 5, 15)\ny &lt;- 0.1*x^3 - 0.5 * x^2 - x + 5 + rnorm(length(x),0,10) \n \n<span style=\"color: #008080;\">#plot x vs. y\n<\/span>plot(x, y, pch=16, cex=1.5) \n \n<span style=\"color: #008080;\">#fit polynomial regression model\n<\/span>fit &lt;- lm(y ~ x + I(x^2) + I(x^3))\n \n<span style=\"color: #008080;\">#use model to get predicted values\n<\/span>pred &lt;- predict(fit)\nix &lt;- sort(x, index. <span style=\"color: #3366ff;\">return<\/span> = <span style=\"color: #008000;\">T<\/span> )$ix\n\n<span style=\"color: #008080;\">#add polynomial curve to plot\n<\/span>lines(x[ix], pred[ix], col=' <span style=\"color: #ff0000;\">red<\/span> ', lwd= <span style=\"color: #008000;\">2<\/span> )\n\n<span style=\"color: #008080;\">#get model coefficients\n<\/span>coeff &lt;- round(fit$coefficients, 2)\n\n<span style=\"color: #008080;\">#add fitted model equation to plot\n<\/span>text(9, 200 , paste(\"Model: \", coeff[1], \" + \", coeff[2],\n                    \"*x\", \"+\", coeff[3], \"*x^2\", \"+\", coeff[4], \"*x^3\"), cex= <span style=\"color: #008000;\">1.3<\/span> )\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-18606 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polycourbe2.png\" alt=\"\" width=\"534\" height=\"440\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Observe que o argumento <strong>cex<\/strong> controla o tamanho da fonte do texto. O padr\u00e3o \u00e9 1, ent\u00e3o optamos por usar o valor <strong>1,3<\/strong> para facilitar a leitura do texto.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/regressao-polinomial-1\/\" target=\"_blank\" rel=\"noopener\">Uma introdu\u00e7\u00e3o \u00e0 regress\u00e3o polinomial<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/ajuste-polinomial-excel\/\" target=\"_blank\" rel=\"noopener\">Como ajustar uma curva polinomial no Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/regressao-polinomial-python\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o polinomial em Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A regress\u00e3o polinomial \u00e9 uma t\u00e9cnica de regress\u00e3o que usamos quando o relacionamento entre uma vari\u00e1vel preditora e uma vari\u00e1vel de resposta \u00e9 n\u00e3o linear. Este tutorial explica como tra\u00e7ar uma curva de regress\u00e3o polinomial em R. Relacionado: Os 7 tipos mais comuns de regress\u00e3o Exemplo: tra\u00e7ando uma curva de regress\u00e3o polinomial em R O [&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-1965","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 tra\u00e7ar uma curva de regress\u00e3o polinomial em R - Statorials<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como tra\u00e7ar uma curva de regress\u00e3o polinomial em R, com um exemplo completo.\" \/>\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\/tracar-regressao-polinomial-em-r\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como tra\u00e7ar uma curva de regress\u00e3o polinomial em R - Statorials\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como tra\u00e7ar uma curva de regress\u00e3o polinomial em R, com um exemplo completo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/tracar-regressao-polinomial-em-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-24T06:50:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polycourbe1.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\/tracar-regressao-polinomial-em-r\/\",\"url\":\"https:\/\/statorials.org\/pt\/tracar-regressao-polinomial-em-r\/\",\"name\":\"Como tra\u00e7ar uma curva de regress\u00e3o polinomial em R - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-24T06:50:02+00:00\",\"dateModified\":\"2023-07-24T06:50:02+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como tra\u00e7ar uma curva de regress\u00e3o polinomial em R, com um exemplo completo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/tracar-regressao-polinomial-em-r\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/tracar-regressao-polinomial-em-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/tracar-regressao-polinomial-em-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como tra\u00e7ar uma curva de regress\u00e3o polinomial em r\"}]},{\"@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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