{"id":682,"date":"2023-07-29T02:38:21","date_gmt":"2023-07-29T02:38:21","guid":{"rendered":"https:\/\/statorials.org\/pl\/wykres-punktowy-z-linia-regresji-r\/"},"modified":"2023-07-29T02:38:21","modified_gmt":"2023-07-29T02:38:21","slug":"wykres-punktowy-z-linia-regresji-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/wykres-punktowy-z-linia-regresji-r\/","title":{"rendered":"Jak utworzy\u0107 wykres rozrzutu z lini\u0105 regresji w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Cz\u0119sto, gdy przeprowadzamy prost\u0105 regresj\u0119 liniow\u0105, chcemy utworzy\u0107 wykres rozrzutu, aby zwizualizowa\u0107 r\u00f3\u017cne kombinacje warto\u015bci x i y.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na szcz\u0119\u015bcie R u\u0142atwia tworzenie chmur punkt\u00f3w za pomoc\u0105 funkcji <strong>plot()<\/strong> . Na przyk\u0142ad:<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create some fake data<\/span>\ndata &lt;- data.frame(x = c(1, 1, 2, 3, 4, 4, 5, 6, 7, 7, 8, 9, 10, 11, 11),\n                   y = c(13, 14, 17, 12, 23, 24, 25, 25, 24, 28, 32, 33, 35, 40, 41))\n\n<span style=\"color: #008080;\">#create scatterplot of data<\/span>\nplot(data$x, data$y)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6570 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/scatterregression1.png\" alt=\"Wykres rozrzutu w R\" width=\"434\" height=\"396\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cna r\u00f3wnie\u017c \u0142atwo doda\u0107 lini\u0119 regresji do wykresu rozrzutu za pomoc\u0105 funkcji <strong>abline()<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad:<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit a simple linear regression model<\/span>\nmodel &lt;- lm(y ~ x, data = data)\n\n<span style=\"color: #008080;\">#add the fitted regression line to the scatterplot<\/span>\nabline(model)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6571 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/scatterregression2.png\" alt=\"Wykres punktowy z lini\u0105 regresji w R\" width=\"438\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cemy r\u00f3wnie\u017c doda\u0107 do wykresu linie przedzia\u0142u ufno\u015bci za pomoc\u0105 funkcji <strong>przewidywania()<\/strong> :<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define range of x values<\/span>\nnewx = seq(min(data$x),max(data$x),by = 1)\n<span style=\"color: #008080;\">\n#find 95% confidence interval for the range of x values<\/span> \nconf_interval &lt;- predict(model, newdata=data.frame(x=newx), interval=\"confidence\",\n                         level = 0.95)\n<span style=\"color: #008080;\">\n#create scatterplot of values with regression line<\/span>\nplot(data$x, data$y)\nabline(model)\n\n<span style=\"color: #008080;\">#add dashed lines (lty=2) for the 95% confidence interval<\/span>\nlines(newx, conf_interval[,2], col=\"blue\", lty=2)\nlines(newx, conf_interval[,3], col=\"blue\", lty=2)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6573 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/scatterregression3.png\" alt=\"Linia regresji z przedzia\u0142em ufno\u015bci w R\" width=\"430\" height=\"396\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cemy te\u017c zamiast tego doda\u0107 do wykresu linie przedzia\u0142\u00f3w przewidywania, okre\u015blaj\u0105c typ przedzia\u0142u w funkcji <strong>przewidywania()<\/strong> :<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define range of x values<\/span>\nnewx = seq(min(data$x),max(data$x),by = 1)\n<span style=\"color: #008080;\">\n#find 95% prediction interval for the range of x values<\/span> \npred_interval &lt;- predict(model, newdata=data.frame(x=newx), <span style=\"color: #993366;\">interval=\"prediction\"<\/span> ,\n                         level = 0.95)\n<span style=\"color: #008080;\">\n#create scatterplot of values with regression line<\/span>\nplot(data$x, data$y)\nabline(model)\n\n<span style=\"color: #008080;\">#add dashed lines (lty=2) for the 95% confidence interval<\/span>\nlines(newx, pred_interval[,2], col=\"red\", lty=2)\nlines(newx, pred_interval[,3], col=\"red\", lty=2)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6574\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/scatterregression4.png\" alt=\"Linia regresji z liniami przedzia\u0142\u00f3w przewidywa\u0144 w R\" width=\"432\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Wreszcie mo\u017cemy uatrakcyjni\u0107 fabu\u0142\u0119, dodaj\u0105c tytu\u0142, zmieniaj\u0105c nazwy osi i zmieniaj\u0105c kszta\u0142t poszczeg\u00f3lnych punkt\u00f3w dzia\u0142ki.<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>plot(data$x, data$y,\n     main = \"Scatterplot of x vs. y\", <span style=\"color: #008080;\">#add title<\/span>\n     pch=16, <span style=\"color: #008080;\">#specify points to be filled in<\/span>\n     xlab='x', <span style=\"color: #008080;\">#change x-axis name\n<\/span>ylab='y') <span style=\"color: #008080;\">#change y-axis name<\/span>\n\nabline(model, col='steelblue') <span style=\"color: #008080;\"><span style=\"color: #008080;\">#specify color of regression line<\/span><\/span>\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6576 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/scatterregression5.png\" alt=\"Linia regresji z wykresem rozrzutu w R\" width=\"432\" height=\"417\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak wykonywa\u0107 inne typowe zadania w j\u0119zyku R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/etykieta-chmura-punktow-r\/\" target=\"_blank\" rel=\"noopener\">Jak oznaczy\u0107 punkty na wykresie rozrzutu w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/funkcja-jittera-r\/\" target=\"_blank\" rel=\"noopener\">Jak korzysta\u0107 z funkcji Jitter w R dla chmur punkt\u00f3w<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cz\u0119sto, gdy przeprowadzamy prost\u0105 regresj\u0119 liniow\u0105, chcemy utworzy\u0107 wykres rozrzutu, aby zwizualizowa\u0107 r\u00f3\u017cne kombinacje warto\u015bci x i y. Na szcz\u0119\u015bcie R u\u0142atwia tworzenie chmur punkt\u00f3w za pomoc\u0105 funkcji plot() . Na przyk\u0142ad: #create some fake data data &lt;- data.frame(x = c(1, 1, 2, 3, 4, 4, 5, 6, 7, 7, 8, 9, 10, 11, 11), [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-682","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak utworzy\u0107 wykres punktowy z lini\u0105 regresji w R - Statology<\/title>\n<meta name=\"description\" content=\"Proste wyja\u015bnienie, jak utworzy\u0107 wykres rozrzutu z lini\u0105 regresji w R, w tym kilka przyk\u0142ad\u00f3w.\" \/>\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\/pl\/wykres-punktowy-z-linia-regresji-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak utworzy\u0107 wykres punktowy z lini\u0105 regresji w R - Statology\" \/>\n<meta property=\"og:description\" content=\"Proste wyja\u015bnienie, jak utworzy\u0107 wykres rozrzutu z lini\u0105 regresji w R, w tym kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/wykres-punktowy-z-linia-regresji-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T02:38:21+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/scatterregression1.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/wykres-punktowy-z-linia-regresji-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/wykres-punktowy-z-linia-regresji-r\/\",\"name\":\"Jak utworzy\u0107 wykres punktowy z lini\u0105 regresji w R - Statology\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-29T02:38:21+00:00\",\"dateModified\":\"2023-07-29T02:38:21+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Proste wyja\u015bnienie, jak utworzy\u0107 wykres rozrzutu z lini\u0105 regresji w R, w tym kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/wykres-punktowy-z-linia-regresji-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/wykres-punktowy-z-linia-regresji-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/wykres-punktowy-z-linia-regresji-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak utworzy\u0107 wykres rozrzutu z lini\u0105 regresji w r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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