{"id":3891,"date":"2023-07-14T22:45:13","date_gmt":"2023-07-14T22:45:13","guid":{"rendered":"https:\/\/statorials.org\/pt\/regressao-polinomial-em-sas\/"},"modified":"2023-07-14T22:45:13","modified_gmt":"2023-07-14T22:45:13","slug":"regressao-polinomial-em-sas","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/regressao-polinomial-em-sas\/","title":{"rendered":"Como realizar regress\u00e3o polinomial no sas"},"content":{"rendered":"<p><\/p>\n<hr>\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 <a href=\"https:\/\/statorials.org\/pt\/respostas-explicativas-das-variaveis\/\" target=\"_blank\" rel=\"noopener\">vari\u00e1vel resposta<\/a> possuem um relacionamento linear.<\/span><\/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> <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;\">O exemplo a seguir mostra como realizar regress\u00e3o polinomial no SAS.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo: Regress\u00e3o Polinomial em SAS<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Vamos supor que temos o seguinte conjunto de dados no SAS:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*create dataset*\/\n<\/span><span style=\"color: #800080;\">data<\/span> my_data;\n    <span style=\"color: #3366ff;\">input<\/span> xy;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\n2 18\n4 14\n4 16\n5 17\n6 18\n7 23\n7 25\n8 28\n9 32\n12 29\n;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*view dataset*\/\n<\/span><span style=\"color: #800080;\">proc print<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-31346 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polysas1.jpg\" alt=\"\" width=\"118\" height=\"292\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Agora suponha que criemos um gr\u00e1fico de dispers\u00e3o para visualizar a rela\u00e7\u00e3o entre as vari\u00e1veis x e y no conjunto de dados:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*create scatter plot of x vs. y*\/\n<span style=\"color: #000000;\"><span style=\"color: #800080;\">proc sgplot<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n    scatter <span style=\"color: #3366ff;\">x<\/span> =x <span style=\"color: #3366ff;\">y<\/span> =y;\n<span style=\"color: #800080;\">run<\/span> ;<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-31347 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polysas2.jpg\" alt=\"\" width=\"592\" height=\"440\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">No gr\u00e1fico, podemos ver que a rela\u00e7\u00e3o entre xey parece ser c\u00fabica.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Portanto, podemos definir duas novas vari\u00e1veis preditoras em nosso conjunto de dados (x <sup>2<\/sup> e x <sup>3<\/sup> ) e, em seguida, usar <strong>proc reg<\/strong> para ajustar um modelo de regress\u00e3o polinomial usando estas vari\u00e1veis preditoras:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*create dataset with new predictor variables*\/\n<\/span><span style=\"color: #800080;\">data<\/span> my_data;\n    <span style=\"color: #3366ff;\">input<\/span> xy;\n    x2 = x** <span style=\"color: #008000;\">2<\/span> ;\n    x3 = x** <span style=\"color: #008000;\">3<\/span> ;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\n2 18\n4 14\n4 16\n5 17\n6 18\n7 23\n7 25\n8 28\n9 32\n12 29\n;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*fit polynomial regression model*\/\n<\/span><span style=\"color: #800080;\">proc reg<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n    <span style=\"color: #3366ff;\">model<\/span> y = x x2 x3;\n<span style=\"color: #800080;\">run<\/span> ;\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-31349 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polysas3.jpg\" alt=\"\" width=\"413\" height=\"542\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"c\/*create scatter plot*\/ proc sgplot data=my_data; scatter x=x y=y; run;olor: #000000;\">Na tabela <strong>Estimativas de Par\u00e2metros<\/strong> , podemos encontrar as estimativas dos coeficientes e escrever nossa equa\u00e7\u00e3o de regress\u00e3o polinomial ajustada como:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = 37,213 \u2013 14,238x + 2,648x <sup>2<\/sup> \u2013 0,126x <sup>3<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Esta equa\u00e7\u00e3o pode ser usada para encontrar o valor esperado da vari\u00e1vel de resposta dado um determinado valor da vari\u00e1vel preditora.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, se xa tiver o valor 4, ent\u00e3o y dever\u00e1 ter o valor 14,565:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = 37,213 \u2013 14,238(4) + 2,648(4) <sup>2<\/sup> \u2013 0,126(4) <sup>3<\/sup> = <strong>14,565<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tamb\u00e9m podemos ver que o modelo de regress\u00e3o polinomial tem um valor R-quadrado ajustado de <strong>0,9636<\/strong> , que \u00e9 extremamente pr\u00f3ximo de um e nos diz que o modelo est\u00e1 fazendo um excelente trabalho de ajuste ao conjunto de dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Relacionado:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/interpretacao-de-r-quadrado-ajustado\/\" target=\"_blank\" rel=\"noopener\">Como interpretar R-quadrado ajustado (com exemplos)<\/a><\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como executar outras tarefas comuns no SAS:<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/pt\/regressao-linear-simples-em-sas\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o linear simples no SAS<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/regressao-linear-multipla-em-sas\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o linear m\u00faltipla no SAS<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/regressao-quantilica-em-sas\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o quant\u00edlica no SAS<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>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 entre uma vari\u00e1vel preditora e uma vari\u00e1vel de resposta \u00e9 n\u00e3o linear. Nestes casos, faz sentido utilizar a regress\u00e3o polinomial , que [&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-3891","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 realizar regress\u00e3o polinomial no SAS - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como realizar regress\u00e3o polinomial no SAS, com 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\/regressao-polinomial-em-sas\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como realizar regress\u00e3o polinomial no SAS - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como realizar regress\u00e3o polinomial no SAS, com um exemplo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/regressao-polinomial-em-sas\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-14T22:45:13+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polysas1.jpg\" \/>\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\/regressao-polinomial-em-sas\/\",\"url\":\"https:\/\/statorials.org\/pt\/regressao-polinomial-em-sas\/\",\"name\":\"Como realizar regress\u00e3o polinomial no SAS - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-14T22:45:13+00:00\",\"dateModified\":\"2023-07-14T22:45:13+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como realizar regress\u00e3o polinomial no SAS, com um exemplo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/regressao-polinomial-em-sas\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/regressao-polinomial-em-sas\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/regressao-polinomial-em-sas\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como realizar regress\u00e3o polinomial no sas\"}]},{\"@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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