{"id":321,"date":"2023-08-02T12:28:02","date_gmt":"2023-08-02T12:28:02","guid":{"rendered":"https:\/\/statorials.org\/pt\/regressao-exponencial\/"},"modified":"2023-08-02T12:28:02","modified_gmt":"2023-08-02T12:28:02","slug":"regressao-exponencial","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/regressao-exponencial\/","title":{"rendered":"Regress\u00e3o exponencial"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 regress\u00e3o exponencial em estat\u00edsticas e para que \u00e9 usada. Al\u00e9m disso, voc\u00ea aprender\u00e1 como fazer regress\u00e3o exponencial e um exemplo desse tipo de regress\u00e3o. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regresion-exponencial\"><\/span> O que \u00e9 regress\u00e3o exponencial?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>A regress\u00e3o exponencial<\/strong> \u00e9 um modelo de regress\u00e3o cuja equa\u00e7\u00e3o est\u00e1 na forma de uma fun\u00e7\u00e3o exponencial. Portanto, na regress\u00e3o exponencial, a vari\u00e1vel independente e a vari\u00e1vel dependente est\u00e3o relacionadas por uma equa\u00e7\u00e3o exponencial.<\/p>\n<p> A equa\u00e7\u00e3o para um modelo de regress\u00e3o exponencial \u00e9 y=ae <sup>bx<\/sup> . Assim, a equa\u00e7\u00e3o de um modelo de regress\u00e3o exponencial possui duas constantes (a e b) e a vari\u00e1vel independente est\u00e1 no expoente do n\u00famero e (e=2,718).<\/p>\n<p> Por exemplo, a equa\u00e7\u00e3o y=5e <sup>2x<\/sup> \u00e9 um modelo de regress\u00e3o exponencial porque relaciona a vari\u00e1vel independente X com a vari\u00e1vel dependente Y exponencialmente.<\/p>\n<p> A regress\u00e3o exponencial \u00e9 um tipo de regress\u00e3o n\u00e3o linear, junto com a regress\u00e3o logar\u00edtmica e a regress\u00e3o polinomial. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regresion-exponencial\"><\/span> f\u00f3rmula de regress\u00e3o exponencial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A f\u00f3rmula para a equa\u00e7\u00e3o de um modelo de regress\u00e3o exponencial \u00e9 y=ae <sup>bx<\/sup> . Portanto, a equa\u00e7\u00e3o de regress\u00e3o exponencial possui um coeficiente (a) multiplicando o n\u00famero e e outro coeficiente (b) no expoente multiplicando a vari\u00e1vel independente.<\/p>\n<p> Portanto, a <strong>f\u00f3rmula de regress\u00e3o exponencial<\/strong> \u00e9:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-82042bf363eb73da7731f91e1e10d498_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=a\\cdot e^{b\\cdot x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"81\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Ouro:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-38461fc041e953482219abf5d4cce1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a vari\u00e1vel dependente.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7e5fbfa0bbbd9f3051cd156a0f1b5e31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a vari\u00e1vel independente.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-968cb9a45b5c3a79cc29326ff362955b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a,b\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"25\" style=\"vertical-align: -4px;\"><\/p>\n<p> s\u00e3o os coeficientes de regress\u00e3o. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-un-modelo-de-regresion-exponencial\"><\/span> Exemplo de modelo de regress\u00e3o exponencial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Logicamente, um modelo de regress\u00e3o exponencial deve ser realizado quando o gr\u00e1fico de pontos estiver na forma de uma fun\u00e7\u00e3o exponencial, ou seja, quando os pontos do gr\u00e1fico crescerem cada vez mais r\u00e1pido. Neste caso, um modelo de regress\u00e3o exponencial ser\u00e1 mais adequado do que um modelo de regress\u00e3o linear.<\/p>\n<p> Observe o gr\u00e1fico a seguir, no qual uma amostra de dados foi plotada. Como voc\u00ea pode ver, o gr\u00e1fico \u00e9 uma curva exponencial e, portanto, a linha de regress\u00e3o n\u00e3o se ajusta bem ao conjunto de dados. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/expression-rationnelle-f.png\" alt=\"\" class=\"wp-image-7000\" width=\"411\" height=\"280\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Portanto, tentaremos ajustar um modelo de regress\u00e3o exponencial ao conjunto de dados estat\u00edsticos. O modelo obtido ap\u00f3s a regress\u00e3o \u00e9 o seguinte: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-regression-exponentielle.png\" alt=\"exemplo de regress\u00e3o exponencial\" class=\"wp-image-7001\" width=\"442\" height=\"301\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Como voc\u00ea pode ver no gr\u00e1fico acima, o modelo de regress\u00e3o exponencial se ajusta muito melhor aos dados. Com efeito, o coeficiente de determina\u00e7\u00e3o melhorou consideravelmente, passando de 72,95% para 93,56%. Concluindo, neste caso \u00e9 melhor usar um modelo de regress\u00e3o exponencial para encontrar uma equa\u00e7\u00e3o que se ajuste aos dados. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otros-tipos-de-regresion-no-lineal\"><\/span> Outros tipos de regress\u00e3o n\u00e3o linear<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Existem basicamente tr\u00eas tipos de regress\u00e3o n\u00e3o linear:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Regress\u00e3o logar\u00edtmica<\/strong> : \u00e9 obtido o logaritmo da vari\u00e1vel independente.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Regress\u00e3o Exponencial<\/strong> : A vari\u00e1vel independente \u00e9 encontrada no expoente da equa\u00e7\u00e3o.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Regress\u00e3o Polinomial<\/strong> \u2013 A equa\u00e7\u00e3o do modelo de regress\u00e3o est\u00e1 na forma de um polin\u00f4mio.<\/span> <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/regressao-logaritmica\/\">Regress\u00e3o logar\u00edtmica<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/regressao-polinomial-1\/\">Regress\u00e3o polinomial<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 regress\u00e3o exponencial em estat\u00edsticas e para que \u00e9 usada. Al\u00e9m disso, voc\u00ea aprender\u00e1 como fazer regress\u00e3o exponencial e um exemplo desse tipo de regress\u00e3o. O que \u00e9 regress\u00e3o exponencial? A regress\u00e3o exponencial \u00e9 um modelo de regress\u00e3o cuja equa\u00e7\u00e3o est\u00e1 na forma de uma fun\u00e7\u00e3o exponencial. Portanto, na regress\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":[14],"tags":[],"class_list":["post-321","post","type-post","status-publish","format-standard","hentry","category-estatisticas"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Regress\u00e3o exponencial<\/title>\n<meta name=\"description\" content=\"Aqui voc\u00ea aprender\u00e1 o que \u00e9 regress\u00e3o exponencial, como realizar regress\u00e3o exponencial (f\u00f3rmula) e um exemplo de regress\u00e3o exponencial.\" \/>\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\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Regress\u00e3o exponencial\" \/>\n<meta property=\"og:description\" content=\"Aqui voc\u00ea aprender\u00e1 o que \u00e9 regress\u00e3o exponencial, como realizar regress\u00e3o exponencial (f\u00f3rmula) e um exemplo de regress\u00e3o exponencial.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/regressao-exponencial\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-02T12:28:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-82042bf363eb73da7731f91e1e10d498_l3.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-exponencial\/\",\"url\":\"https:\/\/statorials.org\/pt\/regressao-exponencial\/\",\"name\":\"\u25b7 Regress\u00e3o exponencial\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-08-02T12:28:02+00:00\",\"dateModified\":\"2023-08-02T12:28:02+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Aqui voc\u00ea aprender\u00e1 o que \u00e9 regress\u00e3o exponencial, como realizar regress\u00e3o exponencial (f\u00f3rmula) e um exemplo de regress\u00e3o exponencial.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/regressao-exponencial\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/regressao-exponencial\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/regressao-exponencial\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Regress\u00e3o exponencial\"}]},{\"@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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