{"id":1445,"date":"2023-07-26T08:50:26","date_gmt":"2023-07-26T08:50:26","guid":{"rendered":"https:\/\/statorials.org\/pt\/regressao-exponencial-em-r\/"},"modified":"2023-07-26T08:50:26","modified_gmt":"2023-07-26T08:50:26","slug":"regressao-exponencial-em-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/regressao-exponencial-em-r\/","title":{"rendered":"Regress\u00e3o exponencial em r (passo a passo)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>A regress\u00e3o exponencial<\/strong> \u00e9 um tipo de regress\u00e3o que pode ser usada para modelar as seguintes situa\u00e7\u00f5es:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Crescimento exponencial:<\/strong> O crescimento come\u00e7a lentamente e depois acelera rapidamente e sem limites.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14288 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/expregexcel1.png\" alt=\"\" width=\"329\" height=\"244\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Decaimento exponencial:<\/strong> O decaimento come\u00e7a rapidamente e depois desacelera para chegar cada vez mais perto de zero.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14289 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/expregexcel2.png\" alt=\"\" width=\"332\" height=\"251\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A equa\u00e7\u00e3o para um modelo de regress\u00e3o exponencial assume a seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = <sup>abx<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y:<\/strong> a vari\u00e1vel de resposta<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> a vari\u00e1vel preditiva<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>a, b:<\/strong> os coeficientes de regress\u00e3o que descrevem a rela\u00e7\u00e3o entre <em>x<\/em> e <em>y<\/em><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">O exemplo passo a passo a seguir mostra como realizar a regress\u00e3o exponencial em R.<\/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 dados falsos para duas vari\u00e1veis: <em>x<\/em> e <em>y<\/em> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>x=1:20\ny=c(1, 3, 5, 7, 9, 12, 15, 19, 23, 28, 33, 38, 44, 50, 56, 64, 73, 84, 97, 113)\n<\/strong><\/pre>\n<h3> <strong>Etapa 2: visualize os dados<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">A seguir, vamos criar um gr\u00e1fico de dispers\u00e3o r\u00e1pido para visualizar a rela\u00e7\u00e3o entre <em>x<\/em> e <em>y<\/em> :<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>plot(x, y)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14298\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/expregr1.png\" alt=\"Exemplo de regress\u00e3o exponencial em R\" width=\"419\" height=\"376\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">No gr\u00e1fico, podemos ver que existe um claro padr\u00e3o de crescimento exponencial entre as duas vari\u00e1veis.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Portanto, parece sensato ajustar uma equa\u00e7\u00e3o de regress\u00e3o exponencial para descrever a rela\u00e7\u00e3o entre as vari\u00e1veis.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Etapa 3: Ajustar o modelo de regress\u00e3o exponencial<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A seguir, usaremos a fun\u00e7\u00e3o <strong>lm()<\/strong> para ajustar um modelo de regress\u00e3o exponencial, usando o logaritmo natural de <em>y<\/em> como <a href=\"https:\/\/statorials.org\/pt\/respostas-explicativas-das-variaveis\/\" target=\"_blank\" rel=\"noopener\">vari\u00e1vel de resposta<\/a> <em>ex<\/em> como vari\u00e1vel preditora:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit the model<\/span>\nmodel &lt;- lm( <span style=\"color: #3366ff;\">log<\/span> (y) ~ x)<\/strong>\n<strong>\n<span style=\"color: #008080;\">#view the output of the model<\/span>\nsummary(model)\n\nCall:\nlm(formula = log(y) ~ x)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-1.1858 -0.1768 0.1104 0.2720 0.3300 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 0.98166 0.17118 5.735 1.95e-05 ***\nx 0.20410 0.01429 14.283 2.92e-11 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 0.3685 on 18 degrees of freedom\nMultiple R-squared: 0.9189, Adjusted R-squared: 0.9144 \nF-statistic: 204 on 1 and 18 DF, p-value: 2.917e-11<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">O <a href=\"https:\/\/statorials.org\/pt\/um-guia-simples-para-compreender-o-teste-f-para-significancia-geral-na-regressao\/\" target=\"_blank\" rel=\"noopener\">valor F geral<\/a> do modelo \u00e9 204 e o valor p correspondente \u00e9 extremamente baixo (2.917e-11), indicando que o modelo como um todo \u00e9 \u00fatil.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Usando os coeficientes da tabela de sa\u00edda, podemos ver que a equa\u00e7\u00e3o de regress\u00e3o exponencial ajustada \u00e9:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>ln(y) = 0,9817 + 0,2041(x)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Aplicando <em>e<\/em> a ambos os lados, podemos reescrever a equa\u00e7\u00e3o da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = 2,6689 * <sup>1,2264x<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar esta equa\u00e7\u00e3o para prever a vari\u00e1vel de resposta, <em>y<\/em> , com base no valor da vari\u00e1vel preditora, <em>x<\/em> .<\/span> <span style=\"color: #000000;\">Por exemplo, se <em>x<\/em> = 12, ent\u00e3o prever\u00edamos que <em>y<\/em> seria <strong>30,897<\/strong> :<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = 2,6689 * 1,2264 <sup>12<\/sup> = 30,897<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>B\u00f4nus:<\/strong> sinta-se \u00e0 vontade para usar esta calculadora de regress\u00e3o exponencial online para calcular automaticamente a equa\u00e7\u00e3o de regress\u00e3o exponencial para um determinado preditor e vari\u00e1vel de resposta.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/regressao-linear-simples-em-r\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o linear simples em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/regressao-linear-multipla-r\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o linear m\u00faltipla em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/regressao-quadratica-r\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o quadr\u00e1tica em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/regressao-polinomial-r\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o polinomial em R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A regress\u00e3o exponencial \u00e9 um tipo de regress\u00e3o que pode ser usada para modelar as seguintes situa\u00e7\u00f5es: 1. Crescimento exponencial: O crescimento come\u00e7a lentamente e depois acelera rapidamente e sem limites. 2. Decaimento exponencial: O decaimento come\u00e7a rapidamente e depois desacelera para chegar cada vez mais perto de zero. A equa\u00e7\u00e3o para um modelo de [&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-1445","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 Exponencial em R (Passo a Passo) - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como realizar regress\u00e3o exponencial em R, incluindo 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-exponencial-em-r\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regress\u00e3o Exponencial em R (Passo a Passo) - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como realizar regress\u00e3o exponencial em R, incluindo um exemplo passo a passo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/regressao-exponencial-em-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T08:50:26+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/expregexcel1.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\/regressao-exponencial-em-r\/\",\"url\":\"https:\/\/statorials.org\/pt\/regressao-exponencial-em-r\/\",\"name\":\"Regress\u00e3o Exponencial em R (Passo a Passo) - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-26T08:50:26+00:00\",\"dateModified\":\"2023-07-26T08:50:26+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como realizar regress\u00e3o exponencial em R, incluindo um exemplo passo a passo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/regressao-exponencial-em-r\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/regressao-exponencial-em-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/regressao-exponencial-em-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Regress\u00e3o exponencial em r (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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