{"id":981305,"date":"2019-05-28T02:00:39","date_gmt":"2019-05-28T09:00:39","guid":{"rendered":"https:\/\/www.questionpro.com\/blog\/o-que-e-o-coeficiente-de-correlacao-de-pearson\/"},"modified":"2025-01-24T08:41:13","modified_gmt":"2025-01-24T15:41:13","slug":"o-que-e-o-coeficiente-de-correlacao-de-pearson","status":"publish","type":"post","link":"https:\/\/www.questionpro.com\/blog\/pt\/o-que-e-o-coeficiente-de-correlacao-de-pearson\/","title":{"rendered":"O que \u00e9 o coeficiente de correla\u00e7\u00e3o de Pearson?"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">O coeficiente de correla\u00e7\u00e3o de Pearson \u00e9 um teste que mede a rela\u00e7\u00e3o estat\u00edstica entre duas vari\u00e1veis cont\u00ednuas.<br \/>Se a associa\u00e7\u00e3o entre os itens n\u00e3o for linear, ent\u00e3o o coeficiente n\u00e3o \u00e9 representado adequadamente. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">O coeficiente de correla\u00e7\u00e3o pode assumir uma gama de valores de +1 a -1.<br \/>Um valor de 0 indica que n\u00e3o h\u00e1 associa\u00e7\u00e3o entre as duas vari\u00e1veis.<br \/>Um valor maior que 0 indica uma associa\u00e7\u00e3o positiva.<br \/>Ou seja, \u00e0 medida que o valor de uma vari\u00e1vel aumenta, o mesmo acontece com o valor da outra vari\u00e1vel.<br \/>Um valor menor que 0 indica uma associa\u00e7\u00e3o negativa; ou seja, \u00e0 medida que o valor de uma vari\u00e1vel aumenta, o valor da outra vari\u00e1vel diminui. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Para efetuar a correla\u00e7\u00e3o de Pearson, \u00e9 necess\u00e1rio o seguinte: <\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A escala de medi\u00e7\u00e3o deve ser uma <\/span><span style=\"font-weight: 400;\">escala de intervalos<\/span><span style=\"font-weight: 400;\"> ou escala de raz\u00e3o.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">As vari\u00e1veis devem ser aproximadamente distribu\u00eddas.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A associa\u00e7\u00e3o deve ser linear.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">N\u00e3o deve haver valores an\u00f3malos nos dados.<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">Como \u00e9 calculado o coeficiente de correla\u00e7\u00e3o de Pearson<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">A f\u00f3rmula do coeficiente de correla\u00e7\u00e3o de Pearson \u00e9 a seguinte<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-114256 size-full\" src=\"https:\/\/www.questionpro.com\/blog\/wp-content\/uploads\/2019\/05\/formula-coeficiente.jpg\" alt=\"\" width=\"89\" height=\"44\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Onde:<\/span><span style=\"font-weight: 400;\">&#8220;x&#8221; equivale \u00e0 vari\u00e1vel n\u00famero um, &#8220;y&#8221; pertence \u00e0 vari\u00e1vel n\u00famero dois, &#8220;zx&#8221; \u00e9 o desvio padr\u00e3o da vari\u00e1vel um, &#8220;zy&#8221; \u00e9 o desvio padr\u00e3o da vari\u00e1vel dois e &#8220;N&#8221; \u00e9 o n\u00famero de dados.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\"> Interpreta\u00e7\u00e3o do coeficiente de correla\u00e7\u00e3o de Karl Pearson<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">O coeficiente de correla\u00e7\u00e3o de Pearson destina-se a indicar at\u00e9 que ponto duas vari\u00e1veis est\u00e3o associadas uma \u00e0 outra:<\/span><b>Correla\u00e7\u00e3o menor que zero: <\/b><span style=\"font-weight: 400;\">Se a correla\u00e7\u00e3o for menor que zero, significa que ela \u00e9 negativa, ou seja, as vari\u00e1veis est\u00e3o inversamente relacionadas. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Quando o valor de uma vari\u00e1vel \u00e9 elevado, o valor da outra vari\u00e1vel \u00e9 baixo.<br \/>Quanto mais pr\u00f3ximo estiver de -1, mais clara \u00e9 a covaria\u00e7\u00e3o extrema.<br \/>Se o coeficiente for igual a -1, referimo-nos a uma correla\u00e7\u00e3o negativa perfeita. <\/span><\/p>\n<p><b>Correla\u00e7\u00e3o maior que zero: <\/b><span style=\"font-weight: 400;\">Se a correla\u00e7\u00e3o for igual a +1, significa que \u00e9 perfeitamente positiva.<br \/>Neste caso, significa que a correla\u00e7\u00e3o \u00e9 positiva, ou seja, as vari\u00e1veis est\u00e3o diretamente correlacionadas. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Quando o valor de uma vari\u00e1vel \u00e9 elevado, o valor da outra vari\u00e1vel tamb\u00e9m \u00e9 elevado, e o mesmo acontece quando s\u00e3o baixos.<br \/>Se for pr\u00f3ximo de +1, o coeficiente ser\u00e1 a covaria\u00e7\u00e3o. <\/span><\/p>\n<p><b>Correla\u00e7\u00e3o igual a zero:<\/b><span style=\"font-weight: 400;\"> Quando a correla\u00e7\u00e3o \u00e9 zero, significa que n\u00e3o \u00e9 poss\u00edvel determinar algum sentido de covaria\u00e7\u00e3o.<br \/>No entanto, n\u00e3o significa que n\u00e3o exista uma rela\u00e7\u00e3o n\u00e3o linear entre as vari\u00e1veis. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Quando as vari\u00e1veis s\u00e3o independentes, significa que est\u00e3o correlacionadas, mas isso n\u00e3o significa que o resultado seja verdadeiro.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Vantagens e desvantagens do coeficiente de correla\u00e7\u00e3o de Pearson<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Entre as principais vantagens do coeficiente de correla\u00e7\u00e3o de Karl Pearson contam-se as seguintes: <\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">O valor \u00e9 independente de qualquer unidade utilizada para medir as vari\u00e1veis.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Se a amostra for grande, a exatid\u00e3o da estimativa \u00e9 mais prov\u00e1vel. <\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Algumas das desvantagens do coeficiente de correla\u00e7\u00e3o s\u00e3o: <\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Ambas as vari\u00e1veis t\u00eam de ser medidas a um n\u00edvel quantitativo cont\u00ednuo. <\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A distribui\u00e7\u00e3o das vari\u00e1veis deve assemelhar-se \u00e0 curva normal.<br \/><\/span><\/span><br \/>Finalmente, podes estar interessado em ler sobre o coeficiente de correla\u00e7\u00e3o de Spearman Coeficiente de correla\u00e7\u00e3o de Spearman.<\/li>\n<\/ul>\n\n\n<br>\n<center>\n<a href=\"https:\/\/eu.questionpro.com\/a\/showEntry.do?lan=pt_PT&#038;custom1=blog\">\n        <button style=\"background: #ff9f00\">Cria uma conta gratuita<\/button>\n    <\/a>\n    <a href=\"https:\/\/contactar.questionpro.com\/t\/AM4X9Z3LxD?custom1=coeficiente-de-correla\u00e7\u00e3o-de-pearson\u201d target=\"_blank\" rel=\"noopener\">\n        <button>Agendar uma demonstra\u00e7\u00e3o<\/button>\n    <\/a>\n<\/center>\n<br>\n","protected":false},"excerpt":{"rendered":"<p>O coeficiente de correla\u00e7\u00e3o de Pearson \u00e9 um teste que mede a rela\u00e7\u00e3o estat\u00edstica entre duas vari\u00e1veis cont\u00ednuas.Se a associa\u00e7\u00e3o [&hellip;]<\/p>\n","protected":false},"author":42,"featured_media":936961,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[2140],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>O que \u00e9 o coeficiente de correla\u00e7\u00e3o de Pearson?<\/title>\n<meta name=\"description\" content=\"Aprende o que \u00e9 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