{"id":1269,"date":"2023-07-27T01:53:58","date_gmt":"2023-07-27T01:53:58","guid":{"rendered":"https:\/\/statorials.org\/pt\/interpolacao-linear-excel\/"},"modified":"2023-07-27T01:53:58","modified_gmt":"2023-07-27T01:53:58","slug":"interpolacao-linear-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/interpolacao-linear-excel\/","title":{"rendered":"Interpola\u00e7\u00e3o linear no excel: exemplo passo a passo"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Interpola\u00e7\u00e3o<\/strong> \u00e9 o processo de estimar um valor desconhecido de uma fun\u00e7\u00e3o entre dois valores conhecidos.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dados dois valores conhecidos (x <sub>1<\/sub> , y <sub>1<\/sub> ) e (x <sub>2<\/sub> , y <sub>2<\/sub> ), podemos estimar o valor y para um ponto x usando a seguinte f\u00f3rmula:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = y <sub>1<\/sub> + (xx <sub>1<\/sub> )(y <sub>2<\/sub> -y <sub>1<\/sub> )\/(x <sub>2<\/sub> -x <sub>1<\/sub> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Este tutorial explica como usar a interpola\u00e7\u00e3o linear para encontrar um valor y desconhecido com base em um valor x no Excel.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo: interpola\u00e7\u00e3o linear no Excel<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que temos o seguinte conjunto de dados no Excel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12500 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/intlineaire1.png\" alt=\"\" width=\"355\" height=\"393\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Se cri\u00e1ssemos um gr\u00e1fico r\u00e1pido dos dados, seria assim:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12501 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/intlineaire2.png\" alt=\"Interpola\u00e7\u00e3o linear no Excel\" width=\"552\" height=\"431\" srcset=\"\" sizes=\"auto, \"><\/span><\/p>\n<p> <span style=\"color: #000000;\">Agora suponha que queremos encontrar o valor de y associado a um novo valor de x de <strong>13<\/strong> . Podemos ver que <em>medimos<\/em> valores de y para valores de x de 12 e 14, mas n\u00e3o para um valor de x de 13.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar a seguinte f\u00f3rmula para realizar interpola\u00e7\u00e3o linear no Excel para encontrar o valor estimado de y:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 13px;\"> <strong>= <span style=\"color: #3366ff;\">FORECAST<\/span> (NewX, <span style=\"color: #993300;\">OFFSET<\/span> (KnownY, <span style=\"color: #ff6600;\">MATCH<\/span> (NewX,KnownX,1)-1,0,2), <span style=\"color: #993300;\">OFFSET<\/span> (KnownX, <span style=\"color: #ff6600;\">MATCH<\/span> (NewX,KnownX,1)-1,0,2))\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Veja como usar esta fun\u00e7\u00e3o para estimar valores de y associados a um valor de x de 13:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12503 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/int3lineaire.png\" alt=\"Exemplo de interpola\u00e7\u00e3o linear no Excel\" width=\"671\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O valor estimado de y acaba sendo <strong>33,5<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Se adicionarmos o ponto (13, 33,5) ao nosso gr\u00e1fico, ele parece corresponder muito bem \u00e0 fun\u00e7\u00e3o:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12504 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/int4lineaire.png\" alt=\"Exemplo de interpola\u00e7\u00e3o linear\" width=\"495\" height=\"474\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar esta f\u00f3rmula para estimar o valor y de qualquer valor de x simplesmente substituindo <strong>NewX<\/strong> na f\u00f3rmula por qualquer novo valor de x.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Observe que para que esta fun\u00e7\u00e3o funcione, o novo valor de X deve estar dentro do intervalo de valores de X existentes.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Voc\u00ea pode encontrar mais tutoriais de Excel <a href=\"https:\/\/statorials.org\/pt\/estatologia-explica-conceitos-de-forma-simples-e-direta-facilitamos-o-aprendizado-de-estatistica\/\" target=\"_blank\" rel=\"noopener\">aqui<\/a> .<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Interpola\u00e7\u00e3o \u00e9 o processo de estimar um valor desconhecido de uma fun\u00e7\u00e3o entre dois valores conhecidos. Dados dois valores conhecidos (x 1 , y 1 ) e (x 2 , y 2 ), podemos estimar o valor y para um ponto x usando a seguinte f\u00f3rmula: y = y 1 + (xx 1 )(y 2 [&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-1269","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>Interpola\u00e7\u00e3o linear no Excel: exemplo passo a passo - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como realizar interpola\u00e7\u00e3o linear no Excel, com 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\/interpolacao-linear-excel\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Interpola\u00e7\u00e3o linear no Excel: exemplo passo a passo - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como realizar interpola\u00e7\u00e3o linear no Excel, com um exemplo passo a passo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/interpolacao-linear-excel\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T01:53:58+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/intlineaire1.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=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/interpolacao-linear-excel\/\",\"url\":\"https:\/\/statorials.org\/pt\/interpolacao-linear-excel\/\",\"name\":\"Interpola\u00e7\u00e3o linear no Excel: exemplo passo a passo - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-27T01:53:58+00:00\",\"dateModified\":\"2023-07-27T01:53:58+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como realizar interpola\u00e7\u00e3o linear no Excel, com um exemplo passo a passo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/interpolacao-linear-excel\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/interpolacao-linear-excel\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/interpolacao-linear-excel\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Interpola\u00e7\u00e3o linear no excel: exemplo 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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