{"id":2421,"date":"2023-07-22T08:31:15","date_gmt":"2023-07-22T08:31:15","guid":{"rendered":"https:\/\/statorials.org\/pt\/interpolacao-linear-python\/"},"modified":"2023-07-22T08:31:15","modified_gmt":"2023-07-22T08:31:15","slug":"interpolacao-linear-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/interpolacao-linear-python\/","title":{"rendered":"Como realizar interpola\u00e7\u00e3o linear em python (com exemplo)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>A interpola\u00e7\u00e3o linear<\/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;\">Podemos usar a seguinte sintaxe b\u00e1sica para realizar interpola\u00e7\u00e3o linear em Python:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> scipy. <span style=\"color: #3366ff;\">interpolate\n<\/span>\ny_interp = scipy. <span style=\"color: #3366ff;\">interpolate<\/span> . <span style=\"color: #3366ff;\">interp1d<\/span> (x,y)\n\n<span style=\"color: #008080;\">#find y-value associated with x-value of 13\n<\/span><span style=\"color: #008000;\">print<\/span> (y_interp( <span style=\"color: #008000;\">13<\/span> ))\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">O exemplo a seguir mostra como usar essa sintaxe na pr\u00e1tica.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo: interpola\u00e7\u00e3o linear em Python<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que temos as duas listas de valores a seguir em Python:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>x = [2, 4, 6, 8, 10, 12, 14, 16, 18, 20]\ny = [4, 7, 11, 16, 22, 29, 38, 49, 63, 80]\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Podemos criar um gr\u00e1fico r\u00e1pido de x versus y:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#create plot of x vs. y\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (x, y, ' <span style=\"color: #ff0000;\">-ob<\/span> ')\n<\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21747 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/interpo1.png\" alt=\"\" width=\"499\" height=\"334\" srcset=\"\" sizes=\"auto, \"><\/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> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar o seguinte c\u00f3digo para fazer isso:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> scipy. <span style=\"color: #3366ff;\">interpolate<\/span>\ny_interp = scipy. <span style=\"color: #3366ff;\">interpolate<\/span> . <span style=\"color: #3366ff;\">interp1d<\/span> (x,y)\n\n<span style=\"color: #008080;\">#find y-value associated with x-value of 13<\/span>\n<span style=\"color: #008000;\">print<\/span> (y_interp( <span style=\"color: #008000;\">13<\/span> ))\n\n33.5<\/strong><\/span><\/pre>\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<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#create plot of x vs. y\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (x, y, ' <span style=\"color: #ff0000;\">-ob<\/span> ')\n\n<span style=\"color: #008080;\">#add estimated y-value to plot<\/span>\nplt. <span style=\"color: #3366ff;\">plot<\/span> (13, 33.5, ' <span style=\"color: #ff0000;\">ro<\/span> ')\n<\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21748 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/interpo2.png\" alt=\"\" width=\"501\" height=\"335\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar esta f\u00f3rmula exata para realizar interpola\u00e7\u00e3o linear para qualquer novo valor de x.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como corrigir outros erros comuns em Python:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/erro-de-chave-do-pandas\/\" target=\"_blank\" rel=\"noopener\">Como corrigir KeyError em Pandas<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/valueerror-nao-pode-converter-float-nan-em-inteiro\/\" target=\"_blank\" rel=\"noopener\">Como corrigir: ValueError: n\u00e3o \u00e9 poss\u00edvel converter float NaN em int<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/os-operandos-nao-puderam-ser-transmitidos-com-os-formularios\/\" target=\"_blank\" rel=\"noopener\">Como corrigir: ValueError: os operandos n\u00e3o puderam ser transmitidos com formas<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A interpola\u00e7\u00e3o linear \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 [&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-2421","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>Como realizar interpola\u00e7\u00e3o linear em Python (com exemplo) - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como realizar interpola\u00e7\u00e3o linear em Python, com um exemplo.\" \/>\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-python\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como realizar interpola\u00e7\u00e3o linear em Python (com exemplo) - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como realizar interpola\u00e7\u00e3o linear em Python, com um exemplo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/interpolacao-linear-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-22T08:31:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/interpo1.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\/interpolacao-linear-python\/\",\"url\":\"https:\/\/statorials.org\/pt\/interpolacao-linear-python\/\",\"name\":\"Como realizar interpola\u00e7\u00e3o linear em Python (com exemplo) - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-22T08:31:15+00:00\",\"dateModified\":\"2023-07-22T08:31:15+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como realizar interpola\u00e7\u00e3o linear em Python, com um exemplo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/interpolacao-linear-python\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/interpolacao-linear-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/interpolacao-linear-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como realizar interpola\u00e7\u00e3o linear em python (com exemplo)\"}]},{\"@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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