{"id":1338,"date":"2023-07-26T19:53:42","date_gmt":"2023-07-26T19:53:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/pythonda-kalan-kareler-toplami\/"},"modified":"2023-07-26T19:53:42","modified_gmt":"2023-07-26T19:53:42","slug":"pythonda-kalan-kareler-toplami","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pythonda-kalan-kareler-toplami\/","title":{"rendered":"Python&#39;da art\u0131k kareler toplam\u0131 nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/kalinti\/\" target=\"_blank\" rel=\"noopener\">Art\u0131k,<\/a> bir regresyon modelinde g\u00f6zlemlenen bir de\u011fer ile tahmin edilen bir de\u011fer aras\u0131ndaki farkt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131k = G\u00f6zlemlenen de\u011fer \u2013 Tahmin edilen de\u011fer<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir regresyon modelinin bir veri k\u00fcmesine ne kadar iyi uydu\u011funu anlaman\u0131n bir yolu, a\u015fa\u011f\u0131daki gibi hesaplanan <strong>kalan kareler toplam\u0131n\u0131<\/strong> hesaplamakt\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131k kareler toplam\u0131 = \u03a3(e <sub>i<\/sub> ) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u201ctoplam\u201d anlam\u0131na gelen Yunanca bir sembol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>e <sub>i<\/sub><\/strong> : i&#8217;inci <sup>kal\u0131nt\u0131<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">De\u011fer ne kadar d\u00fc\u015f\u00fck olursa model veri setine o kadar iyi uyar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Python&#8217;da bir regresyon modeli i\u00e7in kalan kareler toplam\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri girin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte ders \u00e7al\u0131\u015fmak i\u00e7in harcanan saat say\u0131s\u0131, girilen toplam haz\u0131rl\u0131k s\u0131nav\u0131 say\u0131s\u0131 ve 14 farkl\u0131 \u00f6\u011frencinin ald\u0131\u011f\u0131 s\u0131nav sonu\u00e7lar\u0131na ili\u015fkin verileri girece\u011fiz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> pandas <span style=\"color: #107d3f;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#createDataFrame<\/span>\ndf = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #008000;\">hours<\/span> ': [1, 2, 2, 4, 2, 1, 5, 4, 2, 4, 4, 3, 6, 5],\n                   ' <span style=\"color: #008000;\">exams<\/span> ': [1, 3, 3, 5, 2, 2, 1, 1, 0, 3, 4, 3, 2, 4],\n                   ' <span style=\"color: #008000;\">score<\/span> ': [76, 78, 85, 88, 72, 69, 94, 94, 88, 92, 90, 75, 96, 90]})\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Regresyon modelini yerle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, tahmin de\u011fi\u015fkenleri olarak &#8220;saatler&#8221; ve &#8220;s\u0131navlar&#8221;\u0131 ve yan\u0131t de\u011fi\u015fkeni olarak &#8220;puan&#8221;\u0131 kullanarak s\u0131radan bir en k\u00fc\u00e7\u00fck kareler regresyonu ger\u00e7ekle\u015ftirmek i\u00e7in statsmodels k\u00fct\u00fcphanesindeki<\/span> <a href=\"https:\/\/www.statsmodels.org\/devel\/generated\/statsmodels.regression.linear_model.OLS.html\" target=\"_blank\" rel=\"noopener noreferrer\">OLS() i\u015flevini<\/a> <span style=\"color: #000000;\">kullanaca\u011f\u0131z<\/span> :<\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><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: #008000;\">score<\/span> ']\n\n<span style=\"color: #008080;\">#define predictor variables\n<\/span>x = df[[' <span style=\"color: #008000;\">hours<\/span> ', ' <span style=\"color: #008000;\">exams<\/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\n<span style=\"color: #008080;\">#view model summary\n<\/span><span style=\"color: #993300;\">print<\/span> ( <span style=\"color: #3366ff;\">model.summary<\/span> ())\n\n                            OLS Regression Results                            \n==================================================== ============================\nDept. Variable: R-squared score: 0.722\nModel: OLS Adj. R-squared: 0.671\nMethod: Least Squares F-statistic: 14.27\nDate: Sat, 02 Jan 2021 Prob (F-statistic): 0.000878\nTime: 15:58:35 Log-Likelihood: -41.159\nNo. Comments: 14 AIC: 88.32\nDf Residuals: 11 BIC: 90.24\nModel: 2                                         \nCovariance Type: non-robust                                         \n==================================================== ============================\n                 coef std err t P&gt;|t| [0.025 0.975]\n-------------------------------------------------- ----------------------------\nconst 71.8144 3.680 19.517 0.000 63.716 79.913\nhours 5.0318 0.942 5.339 0.000 2.958 7.106\nexams -1.3186 1.063 -1.240 0.241 -3.658 1.021\n==================================================== ============================\nOmnibus: 0.976 Durbin-Watson: 1.270\nProb(Omnibus): 0.614 Jarque-Bera (JB): 0.757\nSkew: -0.245 Prob(JB): 0.685\nKurtosis: 1.971 Cond. No. 12.1\n==================================================== ============================\n<\/strong><\/span><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Kalan kareler toplam\u0131n\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Modelin kalan kareler toplam\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #993300;\">print<\/span> ( <span style=\"color: #3366ff;\">model.ssr<\/span> )\n\n293.25612951525414\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Kalan kareler toplam\u0131 <strong>293.256<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/pythonda-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> Art\u0131k Kareler Toplam\u0131 Hesaplay\u0131c\u0131<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Art\u0131k, bir regresyon modelinde g\u00f6zlemlenen bir de\u011fer ile tahmin edilen bir de\u011fer aras\u0131ndaki farkt\u0131r. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: Art\u0131k = G\u00f6zlemlenen de\u011fer \u2013 Tahmin edilen de\u011fer Bir regresyon modelinin bir veri k\u00fcmesine ne kadar iyi uydu\u011funu anlaman\u0131n bir yolu, a\u015fa\u011f\u0131daki gibi hesaplanan kalan kareler toplam\u0131n\u0131 hesaplamakt\u0131r: Art\u0131k kareler toplam\u0131 = \u03a3(e i ) 2 Alt\u0131n: \u03a3 [&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-1338","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 kalan kareler toplam\u0131 nas\u0131l hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da bir regresyon modeli i\u00e7in kalan kareler toplam\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle 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-kalan-kareler-toplami\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da kalan kareler toplam\u0131 nas\u0131l hesaplan\u0131r - 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