{"id":2449,"date":"2023-07-22T05:51:57","date_gmt":"2023-07-22T05:51:57","guid":{"rendered":"https:\/\/statorials.org\/tr\/pythonda-sst-ssr-sse\/"},"modified":"2023-07-22T05:51:57","modified_gmt":"2023-07-22T05:51:57","slug":"pythonda-sst-ssr-sse","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pythonda-sst-ssr-sse\/","title":{"rendered":"Python&#39;da sst, ssr ve sse nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">regresyon \u00e7izgisinin<\/a> bir veri k\u00fcmesine ne kadar iyi uydu\u011funu \u00f6l\u00e7mek i\u00e7in s\u0131kl\u0131kla \u00fc\u00e7 farkl\u0131 <a href=\"https:\/\/statorials.org\/tr\/sst-ssr-sse\/\" target=\"_blank\" rel=\"noopener\">kareler toplam\u0131<\/a> de\u011feri kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Toplam Karelerin Toplam\u0131 (SST) \u2013<\/strong> Bireysel veri noktalar\u0131 (y <sub>i<\/sub> ) ile yan\u0131t de\u011fi\u015fkeninin ortalamas\u0131 ( <span style=\"border-top: 1px solid black;\">y<\/span> ) aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SST = \u03a3(y <sub>ben<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">y<\/span> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2. Karelerin Toplam\u0131 Regresyon (SSR)<\/strong> \u2013 Tahmin edilen veri noktalar\u0131 (\u0177 <sub>i<\/sub> ) ile yan\u0131t de\u011fi\u015fkeninin ortalamas\u0131 ( <span style=\"border-top: 1px solid black;\">y<\/span> ) aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SSR = \u03a3(\u0177 <sub>ben<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">y<\/span> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>3. Kareler Toplam\u0131 Hatas\u0131 (SSE)<\/strong> \u2013 Tahmin edilen veri noktalar\u0131 (\u0177 <sub>i<\/sub> ) ile g\u00f6zlemlenen veri noktalar\u0131 (y <sub>i<\/sub> ) aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SSE = \u03a3(\u0177 <sub>ben<\/sub> \u2013 y <sub>ben<\/sub> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, Python&#8217;da belirli bir regresyon modeli i\u00e7in bu \u00f6l\u00e7\u00fcmlerin her birinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri olu\u015fturun<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0130lk olarak, belirli bir \u00fcniversitede 20 farkl\u0131 \u00f6\u011frenci i\u00e7in \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131n\u0131 ve al\u0131nan s\u0131nav puanlar\u0131n\u0131 i\u00e7eren bir veri seti olu\u015ftural\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#create pandas DataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">hours<\/span> ': [1, 1, 1, 2, 2, 2, 2, 2, 3, 3,\n                             3, 4, 4, 4, 5, 5, 6, 7, 7, 8],\n                   ' <span style=\"color: #ff0000;\">score<\/span> ': [68, 76, 74, 80, 76, 78, 81, 84, 86, 83,\n                             88, 85, 89, 94, 93, 94, 96, 89, 92, 97]})\n\n<span style=\"color: #008080;\">#view first five rows of DataFrame\n<\/span>df. <span style=\"color: #3366ff;\">head<\/span> ()\n\n\thours score\n0 1 68\n1 1 76\n2 1 74\n3 2 80\n4 2 76\n<\/strong><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Bir regresyon modeli yerle\u015ftirin<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Daha sonra, yan\u0131t de\u011fi\u015fkeni olarak puan\u0131 ve tahmin de\u011fi\u015fkeni olarak saatleri kullanarak basit bir do\u011frusal regresyon modeline uyum sa\u011flamak i\u00e7in <a href=\"https:\/\/www.statsmodels.org\/devel\/generated\/statsmodels.regression.linear_model.OLS.html\" target=\"_blank\" rel=\"noopener\">statsmodels<\/a> k\u00fct\u00fcphanesindeki <strong>OLS()<\/strong> i\u015flevini kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#define response variable\n<\/span>y = df[' <span style=\"color: #ff0000;\">score<\/span> ']\n\n<span style=\"color: #008080;\">#define predictor variable\n<\/span>x = df[[' <span style=\"color: #ff0000;\">hours<\/span> ']]\n\n<span style=\"color: #008080;\">#add constant to predictor variables\n<\/span>x = sm. <span style=\"color: #3366ff;\">add_constant<\/span> (x)\n\n<span style=\"color: #008080;\">#fit linear regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()\n<\/strong><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>3. Ad\u0131m: SST, SSR ve SSE&#8217;yi hesaplay\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Son olarak modelin SST, SSR ve SSE de\u011ferlerini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fclleri kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n\n<span style=\"color: #008080;\">#calculate\n<\/span>sse = np. <span style=\"color: #3366ff;\">sum<\/span> ((model. <span style=\"color: #3366ff;\">fitted values<\/span> - df. <span style=\"color: #3366ff;\">score<\/span> ) <span style=\"color: #800080;\">**<\/span> 2)\n<span style=\"color: #008000;\">print<\/span> (sse)\n\n331.07488479262696\n\n<span style=\"color: #008080;\">#calculate ssr\n<\/span>ssr = np. <span style=\"color: #3366ff;\">sum<\/span> ((model. <span style=\"color: #3366ff;\">fitted values<\/span> - df. <span style=\"color: #3366ff;\">score<\/span> . <span style=\"color: #3366ff;\">mean<\/span> ()) <span style=\"color: #800080;\">**<\/span> 2)\n<span style=\"color: #008000;\">print<\/span> (ssr)\n\n917.4751152073725\n\n<span style=\"color: #008080;\">#calculate sst\n<\/span>sst = ssr + sse\n<span style=\"color: #008000;\">print<\/span> (sst)\n\n1248.5499999999995\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Metrikler \u015fu \u015fekilde ortaya \u00e7\u0131k\u0131yor:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Toplam kareler toplam\u0131 (SST):<\/strong> 1248,55<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Kareler Toplam\u0131 Regresyon (SSR):<\/strong> 917.4751<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Kareler toplam\u0131 hatas\u0131 (SSE):<\/strong> 331.0749<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">SST = SSR + SSE oldu\u011funu do\u011frulayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SST = SSR + SSE<\/span><\/li>\n<li> <span style=\"color: #000000;\">1248,55 = 917,4751 + 331,0749<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Herhangi bir basit do\u011frusal regresyon \u00e7izgisi i\u00e7in SST, SSR ve SSE&#8217;yi otomatik olarak hesaplamak amac\u0131yla a\u015fa\u011f\u0131daki hesaplay\u0131c\u0131lar\u0131 kullanabilirsiniz:<\/span><\/p>\n<ul>\n<li> SST hesaplay\u0131c\u0131<\/li>\n<li> RSS hesaplay\u0131c\u0131<\/li>\n<li> ESS hesaplay\u0131c\u0131<\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde di\u011fer istatistiksel yaz\u0131l\u0131mlarda SST, SSR ve SSE&#8217;nin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/tr\/sst-ssr-sse-rde\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de SST, SSR ve SSE nas\u0131l hesaplan\u0131r<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/excelde-sst-ssr-sse\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de SST, SSR ve SSE nas\u0131l hesaplan\u0131r<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Bir regresyon \u00e7izgisinin bir veri k\u00fcmesine ne kadar iyi uydu\u011funu \u00f6l\u00e7mek i\u00e7in s\u0131kl\u0131kla \u00fc\u00e7 farkl\u0131 kareler toplam\u0131 de\u011feri kullan\u0131r\u0131z: 1. Toplam Karelerin Toplam\u0131 (SST) \u2013 Bireysel veri noktalar\u0131 (y i ) ile yan\u0131t de\u011fi\u015fkeninin ortalamas\u0131 ( y ) aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131. SST = \u03a3(y ben \u2013 y ) 2 2. Karelerin Toplam\u0131 Regresyon (SSR) [&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-2449","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python&#039;da SST, SSR ve SSE Nas\u0131l Hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da SST, SSR ve SSE dahil olmak \u00fczere bir regresyon modeli i\u00e7in \u00e7e\u015fitli kareler toplamlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/tr\/pythonda-sst-ssr-sse\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da SST, SSR ve SSE Nas\u0131l Hesaplan\u0131r - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde Python&#039;da SST, SSR ve SSE dahil olmak \u00fczere bir regresyon modeli i\u00e7in \u00e7e\u015fitli kareler toplamlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/pythonda-sst-ssr-sse\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-22T05:51:57+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-sst-ssr-sse\/\",\"url\":\"https:\/\/statorials.org\/tr\/pythonda-sst-ssr-sse\/\",\"name\":\"Python&#39;da SST, SSR ve SSE Nas\u0131l Hesaplan\u0131r - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-22T05:51:57+00:00\",\"dateModified\":\"2023-07-22T05:51:57+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde Python&#39;da SST, SSR ve SSE dahil olmak \u00fczere bir regresyon modeli i\u00e7in \u00e7e\u015fitli kareler toplamlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-sst-ssr-sse\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/pythonda-sst-ssr-sse\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-sst-ssr-sse\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da sst, ssr ve sse nas\u0131l hesaplan\u0131r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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