{"id":324,"date":"2023-08-02T11:12:20","date_gmt":"2023-08-02T11:12:20","guid":{"rendered":"https:\/\/statorials.org\/pt\/analise-de-regressao\/"},"modified":"2023-08-02T11:12:20","modified_gmt":"2023-08-02T11:12:20","slug":"analise-de-regressao","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/analise-de-regressao\/","title":{"rendered":"An\u00e1lise de regress\u00e3o"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 a an\u00e1lise de regress\u00e3o e para que ela \u00e9 usada nas estat\u00edsticas. Al\u00e9m disso, voc\u00ea poder\u00e1 ver quais s\u00e3o os diferentes tipos de an\u00e1lise de regress\u00e3o. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-analisis-de-regresion\"><\/span> O que \u00e9 an\u00e1lise de regress\u00e3o?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Em estat\u00edstica, <strong>a an\u00e1lise de regress\u00e3o<\/strong> \u00e9 um processo no qual se estuda a rela\u00e7\u00e3o entre duas ou mais vari\u00e1veis. Mais especificamente, a an\u00e1lise de regress\u00e3o envolve o c\u00e1lculo de uma equa\u00e7\u00e3o que relaciona matematicamente as vari\u00e1veis do estudo.<\/p>\n<p> O modelo constru\u00eddo em uma an\u00e1lise de regress\u00e3o \u00e9 denominado modelo de regress\u00e3o, enquanto a equa\u00e7\u00e3o que relaciona as vari\u00e1veis estudadas \u00e9 denominada equa\u00e7\u00e3o de regress\u00e3o.<\/p>\n<p> Por exemplo, se quiser estudar a rela\u00e7\u00e3o entre a infla\u00e7\u00e3o de um pa\u00eds e o seu PIB, pode realizar uma an\u00e1lise de regress\u00e3o para analisar a rela\u00e7\u00e3o entre as duas vari\u00e1veis. Nesse caso, a equa\u00e7\u00e3o obtida na an\u00e1lise de regress\u00e3o seria uma reta de regress\u00e3o. <\/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\/ligne-de-regression.png\" alt=\"an\u00e1lise de regress\u00e3o\" class=\"wp-image-6708\" width=\"274\" height=\"256\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Assim, uma an\u00e1lise de regress\u00e3o consiste na coleta de uma amostra de dados e, a partir dos dados coletados, \u00e9 calculada uma equa\u00e7\u00e3o que permite relacionar matematicamente as vari\u00e1veis estudadas.<\/p>\n<p> Nas an\u00e1lises de regress\u00e3o, \u00e9 importante distinguir entre os dois tipos de vari\u00e1veis que podem ser inclu\u00eddas no modelo de regress\u00e3o:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Vari\u00e1vel dependente (ou vari\u00e1vel resposta)<\/strong> : este \u00e9 o fator que queremos analisar, portanto ser\u00e1 constru\u00eddo um modelo de regress\u00e3o para ver como o valor desta vari\u00e1vel varia dependendo do valor de outras vari\u00e1veis.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Vari\u00e1vel independente (ou vari\u00e1vel explicativa)<\/strong> : \u00e9 um fator que consideramos prov\u00e1vel de influenciar a vari\u00e1vel que desejamos analisar. Ou seja, o valor da vari\u00e1vel independente afeta o valor da vari\u00e1vel dependente.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-analisis-de-regresion\"><\/span> Tipos de an\u00e1lise de regress\u00e3o<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Basicamente, existem tr\u00eas <strong>tipos de an\u00e1lise de regress\u00e3o<\/strong> :<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>An\u00e1lise de regress\u00e3o linear simples<\/strong> : O modelo de regress\u00e3o possui uma vari\u00e1vel independente e uma vari\u00e1vel dependente e elas est\u00e3o linearmente relacionadas.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>An\u00e1lise de regress\u00e3o linear m\u00faltipla<\/strong> : duas ou mais vari\u00e1veis independentes est\u00e3o linearmente relacionadas a uma vari\u00e1vel dependente.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>An\u00e1lise de regress\u00e3o n\u00e3o linear<\/strong> : A rela\u00e7\u00e3o entre a vari\u00e1vel independente e a vari\u00e1vel dependente \u00e9 modelada usando uma fun\u00e7\u00e3o n\u00e3o linear.<\/span> <\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"analisis-de-regresion-lineal-simple\"><\/span> An\u00e1lise de regress\u00e3o linear simples<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>A regress\u00e3o linear simples<\/strong> \u00e9 usada para relacionar uma vari\u00e1vel independente a ambas as vari\u00e1veis usando uma equa\u00e7\u00e3o linear.<\/p>\n<p> A equa\u00e7\u00e3o de um modelo de regress\u00e3o linear simples \u00e9 uma reta, portanto \u00e9 composta por dois coeficientes: a constante da equa\u00e7\u00e3o (\u03b2 <sub>0<\/sub> ) e o coeficiente de correla\u00e7\u00e3o entre as duas vari\u00e1veis (\u03b2 <sub>1<\/sub> ). Portanto, a equa\u00e7\u00e3o para um modelo de regress\u00e3o linear simples \u00e9 y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x.<\/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-83e43f626a469e9de3d5ecfed9a216ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1x\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"100\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> As <strong>f\u00f3rmulas para c\u00e1lculo dos coeficientes de regress\u00e3o linear simples<\/strong> s\u00e3o as seguintes:<\/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-459281504d26f92756115054ef567021_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\beta_1=\\cfrac{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})(y_i-\\overline{y})}{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})^2}\\\\[12ex]\\beta_0=\\overline{y}-\\beta_1\\overline{x}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"176\" width=\"192\" style=\"vertical-align: 0px;\"><\/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-c5ba513cc7e504bc674f76afa70a3442_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a constante da linha de regress\u00e3o.<\/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-dff50ab66b848b910ea781069cba1094_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a inclina\u00e7\u00e3o da linha de regress\u00e3o.<\/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-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 o valor da vari\u00e1vel independente X dos dados i.<\/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-761333a1d61654bd1cb5c7224b0d1994_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 o valor da vari\u00e1vel dependente Y dos dados i.<\/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-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a m\u00e9dia dos valores da 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-ed5becac4ccb36fec040f449ba9fa52d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a m\u00e9dia dos valores da vari\u00e1vel dependente Y. <\/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-linear-simples\/\">Regress\u00e3o linear simples<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"analisis-de-regresion-lineal-multiple\"><\/span> An\u00e1lise de regress\u00e3o linear m\u00faltipla<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Num modelo <strong>de regress\u00e3o linear m\u00faltipla<\/strong> , pelo menos duas vari\u00e1veis independentes s\u00e3o inclu\u00eddas. Em outras palavras, a regress\u00e3o linear m\u00faltipla permite que diversas vari\u00e1veis explicativas sejam ligadas linearmente a uma vari\u00e1vel resposta. Portanto, a equa\u00e7\u00e3o para um modelo de regress\u00e3o linear m\u00faltipla \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-fd3ba8386b5954b654ca555774108ac0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1 x_1+\\beta_2 x_2+\\dots+\\beta_m x_m+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"305\" 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-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a vari\u00e1vel independente eu.<\/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-c5ba513cc7e504bc674f76afa70a3442_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a constante da equa\u00e7\u00e3o de regress\u00e3o linear m\u00faltipla.<\/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-ff540c55c6ee8f10a1dab8e2422947ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_i\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 o coeficiente de regress\u00e3o associado \u00e0 vari\u00e1vel<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> .<\/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-29b8f7fac5f2df4b101dff63e95516c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\varepsilon}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o erro ou res\u00edduo, ou seja, a diferen\u00e7a entre o valor observado e o valor estimado pelo modelo.<\/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-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o n\u00famero total de vari\u00e1veis no modelo.<\/li>\n<\/ul>\n<p> Ent\u00e3o, se tivermos uma amostra com um total de<\/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-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> observa\u00e7\u00f5es, podemos colocar o modelo de regress\u00e3o linear m\u00faltipla em forma de matriz:<\/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-5848686c8ed0857f16e7e24e2a31024e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{pmatrix}y_1\\\\y_2\\\\\\vdots\\\\y_n\\end{pmatrix}=\\begin{pmatrix}1&amp;x_{11}&amp;\\dots&amp;x_{1m}\\\\1&amp;x_{21}&amp;\\dots&amp;x_{2m}\\\\ \\vdots&amp;\\vdots&amp;\\ddots&amp;\\vdots\\\\1&amp;x_{n1}&amp;\\dots&amp;x_{nm}\\end{pmatrix}\\cdot\\begin{pmatrix}\\beta_0\\\\\\beta_1\\\\\\vdots\\\\\\beta_m\\end{pmatrix}+\\begin{pmatrix}\\varepsilon_1\\\\\\varepsilon_2\\\\\\vdots\\\\\\varepsilon_n\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"370\" style=\"vertical-align: -43px;\"><\/p>\n<\/p>\n<p> A express\u00e3o matricial acima pode ser reescrita atribuindo uma letra a cada matriz:<\/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-7614ddbb78ced2e2b8b6c7642d9969c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Y=X\\beta+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"95\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Assim, aplicando o crit\u00e9rio dos m\u00ednimos quadrados, podemos chegar \u00e0 <strong>f\u00f3rmula para estimar os coeficientes de um modelo de regress\u00e3o linear m\u00faltipla<\/strong> :<\/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-b6ef097cee722e7355fa4eb77b7ea3e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{\\beta}=\\left(X^tX\\right)^{-1}X^tY\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"146\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> No entanto, a aplica\u00e7\u00e3o desta f\u00f3rmula \u00e9 muito trabalhosa e demorada, raz\u00e3o pela qual na pr\u00e1tica se recomenda a utiliza\u00e7\u00e3o de software inform\u00e1tico (como Minitab ou Excel) que permite criar um modelo de regress\u00e3o m\u00faltipla com muito mais rapidez. <\/p>\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-linear-multipla-1\/\">Regress\u00e3o linear m\u00faltipla<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"analisis-de-regresion-no-lineal\"><\/span> An\u00e1lise de regress\u00e3o n\u00e3o linear<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Em estat\u00edstica, <strong>a regress\u00e3o n\u00e3o linear<\/strong> \u00e9 um tipo de regress\u00e3o em que uma fun\u00e7\u00e3o n\u00e3o linear \u00e9 usada como modelo da equa\u00e7\u00e3o de regress\u00e3o. Portanto, a equa\u00e7\u00e3o de um modelo de regress\u00e3o n\u00e3o linear \u00e9 uma fun\u00e7\u00e3o n\u00e3o linear.<\/p>\n<p> Logicamente, a regress\u00e3o n\u00e3o linear \u00e9 usada para relacionar a vari\u00e1vel independente com a vari\u00e1vel dependente quando a rela\u00e7\u00e3o entre as duas vari\u00e1veis n\u00e3o \u00e9 linear. Portanto, se ao tra\u00e7armos o gr\u00e1fico dos dados amostrais observarmos que eles n\u00e3o possuem uma rela\u00e7\u00e3o linear, ou seja, n\u00e3o formam aproximadamente uma linha reta, \u00e9 melhor &#8216;utilizar um modelo de regress\u00e3o n\u00e3o linear.<\/p>\n<p> Por exemplo, a equa\u00e7\u00e3o y=3-5x-8x <sup>2<\/sup> +x <sup>3<\/sup> \u00e9 um modelo de regress\u00e3o n\u00e3o linear porque relaciona matematicamente a vari\u00e1vel independente X com a vari\u00e1vel dependente Y por meio de uma fun\u00e7\u00e3o c\u00fabica.<\/p>\n<p> Existem basicamente tr\u00eas <strong>tipos de regress\u00e3o n\u00e3o linear<\/strong> :<\/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 Polinomial<\/strong> \u2013 Regress\u00e3o n\u00e3o linear cuja equa\u00e7\u00e3o est\u00e1 na forma de um polin\u00f4mio.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0b684a8af5be9015ef551c6013756a29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1 x+\\beta_2 x^2+\\beta_3 x^3+\\dots+\\beta_m x^m\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"324\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Regress\u00e3o Logar\u00edtmica<\/strong> \u2013 Regress\u00e3o n\u00e3o linear em que a vari\u00e1vel independente \u00e9 logaritmizada.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-54ceab784abf0ace94d994be655104ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1\\cdot \\ln(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Regress\u00e3o Exponencial<\/strong> \u2013 Regress\u00e3o n\u00e3o linear em que a vari\u00e1vel independente reside no expoente da equa\u00e7\u00e3o.<\/span> <\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3718ef8d7502decf6f62fb5c9fdded80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0\\cdot e^{\\beta_1\\cdot x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\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-nao-linear\/\">Regress\u00e3o n\u00e3o linear<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirve-el-analisis-de-regresion\"><\/span> Para que \u00e9 usada a an\u00e1lise de regress\u00e3o?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A an\u00e1lise de regress\u00e3o tem basicamente dois usos: a an\u00e1lise de regress\u00e3o \u00e9 usada para explicar a rela\u00e7\u00e3o entre as vari\u00e1veis explicativas e a vari\u00e1vel de resposta e da mesma forma, a an\u00e1lise de regress\u00e3o \u00e9 usada para prever o valor da vari\u00e1vel dependente para uma nova observa\u00e7\u00e3o.<\/p>\n<p> Ao obter a equa\u00e7\u00e3o do modelo de regress\u00e3o, podemos saber que tipo de rela\u00e7\u00e3o existe entre as vari\u00e1veis do modelo. Se o coeficiente de regress\u00e3o de uma vari\u00e1vel independente for positivo, a vari\u00e1vel dependente aumentar\u00e1 \u00e0 medida que aumenta. ao passo que se o coeficiente de regress\u00e3o de uma vari\u00e1vel independente for negativo, a vari\u00e1vel dependente diminuir\u00e1 \u00e0 medida que aumenta.<\/p>\n<p> Por outro lado, a equa\u00e7\u00e3o matem\u00e1tica obtida na an\u00e1lise de regress\u00e3o tamb\u00e9m nos permite fazer previs\u00f5es de valores. Assim, ao introduzir os valores das vari\u00e1veis explicativas na equa\u00e7\u00e3o do modelo de regress\u00e3o, podemos calcular o valor da vari\u00e1vel dependente para um novo dado.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 a an\u00e1lise de regress\u00e3o e para que ela \u00e9 usada nas estat\u00edsticas. Al\u00e9m disso, voc\u00ea poder\u00e1 ver quais s\u00e3o os diferentes tipos de an\u00e1lise de regress\u00e3o. O que \u00e9 an\u00e1lise de regress\u00e3o? Em estat\u00edstica, a an\u00e1lise de regress\u00e3o \u00e9 um processo no qual se estuda a rela\u00e7\u00e3o entre duas [&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-324","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 An\u00e1lise de regress\u00e3o<\/title>\n<meta name=\"description\" content=\"Aqui voc\u00ea descobrir\u00e1 o que \u00e9 an\u00e1lise de regress\u00e3o em estat\u00edstica, para que serve e quais s\u00e3o os diferentes tipos de an\u00e1lise de regress\u00e3o.\" \/>\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\/analise-de-regressao\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 An\u00e1lise de regress\u00e3o\" \/>\n<meta property=\"og:description\" content=\"Aqui voc\u00ea descobrir\u00e1 o que \u00e9 an\u00e1lise de regress\u00e3o em estat\u00edstica, para que serve e quais s\u00e3o os diferentes tipos de an\u00e1lise de regress\u00e3o.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/analise-de-regressao\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-02T11:12:20+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ligne-de-regression.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=\"6 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/analise-de-regressao\/\",\"url\":\"https:\/\/statorials.org\/pt\/analise-de-regressao\/\",\"name\":\"\u25b7 An\u00e1lise de regress\u00e3o\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-08-02T11:12:20+00:00\",\"dateModified\":\"2023-08-02T11:12:20+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Aqui voc\u00ea descobrir\u00e1 o que \u00e9 an\u00e1lise de regress\u00e3o em estat\u00edstica, para que serve e quais s\u00e3o os diferentes tipos de an\u00e1lise de regress\u00e3o.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/analise-de-regressao\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/analise-de-regressao\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/analise-de-regressao\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"An\u00e1lise de regress\u00e3o\"}]},{\"@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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