{"id":3907,"date":"2023-07-14T20:16:38","date_gmt":"2023-07-14T20:16:38","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-en-kucuk-kareler-yontemi\/"},"modified":"2023-07-14T20:16:38","modified_gmt":"2023-07-14T20:16:38","slug":"rde-en-kucuk-kareler-yontemi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-en-kucuk-kareler-yontemi\/","title":{"rendered":"R&#39;de en k\u00fc\u00e7\u00fck kareler y\u00f6ntemi nas\u0131l kullan\u0131l\u0131r?"},"content":{"rendered":"<hr>\n<p><span style=\"color: #000000;\"><strong>En k\u00fc\u00e7\u00fck kareler y\u00f6ntemi,<\/strong> belirli bir veri k\u00fcmesine en iyi uyan regresyon do\u011frusunu bulmak i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">R&#8217;ye bir regresyon \u00e7izgisi s\u0131\u011fd\u0131rmak amac\u0131yla en k\u00fc\u00e7\u00fck kareler y\u00f6ntemini kullanmak i\u00e7in <strong>lm()<\/strong> i\u015flevini kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu i\u015flev a\u015fa\u011f\u0131daki temel s\u00f6zdizimini kullan\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>model &lt;- lm(response ~ predictor, data=df)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek bu i\u015flevin R&#8217;de nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de en k\u00fc\u00e7\u00fck kareler y\u00f6ntemi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">R&#8217;de, bir s\u0131n\u0131ftaki 15 \u00f6\u011frencinin \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131n\u0131 ve kar\u015f\u0131l\u0131k gelen s\u0131nav puan\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki veri \u00e7er\u00e7evesine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (hours=c(1, 2, 4, 5, 5, 6, 6, 7, 8, 10, 11, 11, 12, 12, 14),\n                 score=c(64, 66, 76, 73, 74, 81, 83, 82, 80, 88, 84, 82, 91, 93, 89))\n\n<span style=\"color: #008080;\">#view first six rows of data frame\n<\/span>head(df)\n\n  hours score\n1 1 64\n2 2 66\n3 4 76\n4 5 73\n5 5 74\n6 6 81\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu verilere bir regresyon \u00e7izgisi s\u0131\u011fd\u0131rmak amac\u0131yla en k\u00fc\u00e7\u00fck kareler y\u00f6ntemini kullanmak i\u00e7in <strong>lm()<\/strong> i\u015flevini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#use method of least squares to fit regression line\n<\/span>model &lt;- lm(score ~ hours, data=df)\n\n<span style=\"color: #008080;\">#view regression model summary<\/span>\nsummary(model)\n\nCall:\nlm(formula = score ~ hours, data = df)\n\nResiduals:\n   Min 1Q Median 3Q Max \n-5,140 -3,219 -1,193 2,816 5,772 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 65,334 2,106 31,023 1.41e-13 ***\nhours 1.982 0.248 7.995 2.25e-06 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 3.641 on 13 degrees of freedom\nMultiple R-squared: 0.831, Adjusted R-squared: 0.818 \nF-statistic: 63.91 on 1 and 13 DF, p-value: 2.253e-06\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Tahmini<\/strong> Sonu\u00e7 s\u00fctunundaki de\u011ferlerden a\u015fa\u011f\u0131daki uygun regresyon sat\u0131r\u0131n\u0131 yazabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131nav puan\u0131 = 65.334 + 1.982 (saat)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Modeldeki her bir katsay\u0131n\u0131n nas\u0131l yorumlanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Intercept<\/strong> : 0 saat ders \u00e7al\u0131\u015fan bir \u00f6\u011frenci i\u00e7in beklenen s\u0131nav puan\u0131 <strong>65.334&#8217;t\u00fcr<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>saat<\/strong> : \u00c7al\u0131\u015f\u0131lan her ek saat i\u00e7in beklenen s\u0131nav puan\u0131 <strong>1.982<\/strong> artar.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir \u00f6\u011frencinin \u00e7al\u0131\u015fma saatlerine g\u00f6re alaca\u011f\u0131 s\u0131nav notunu tahmin etmek i\u00e7in bu denklemi kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir \u00f6\u011frenci 5 saat \u00e7al\u0131\u015f\u0131yorsa s\u0131nav puan\u0131n\u0131n 75.244 olaca\u011f\u0131n\u0131 tahmin ediyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131nav Puan\u0131 = 65,334 + 1,982(5) = 75,244<\/span><\/p>\n<p> <span style=\"color: #000000;\">Son olarak, arsa \u00fczerine bindirilmi\u015f uygun regresyon \u00e7izgisiyle orijinal verilerin bir da\u011f\u0131l\u0131m grafi\u011fini olu\u015fturabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create scatter plot of data\n<\/span>plot(df$hours, df$score, pch=16, col=' <span style=\"color: #ff0000;\">steelblue<\/span> ')\n\n<span style=\"color: #008080;\">#add fitted regression line to scatter plot\n<\/span>abline(model)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-31432 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/methode1.jpg\" sizes=\"auto, \" srcset=\"\" alt=\"\" width=\"494\" height=\"453\"><\/p>\n<p> <span style=\"color: #000000;\">Mavi daireler verileri, siyah \u00e7izgi ise tak\u0131lan regresyon \u00e7izgisini temsil eder.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">Ek kaynaklar<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde R&#8217;de di\u011fer ortak g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/kalan-iz-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de art\u0131k arsa nas\u0131l olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-coklu-baglanti\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00e7oklu do\u011frusall\u0131k nas\u0131l test edilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-egrisi-ayari\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de e\u011fri uydurma nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>En k\u00fc\u00e7\u00fck kareler y\u00f6ntemi, belirli bir veri k\u00fcmesine en iyi uyan regresyon do\u011frusunu bulmak i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir. R&#8217;ye bir regresyon \u00e7izgisi s\u0131\u011fd\u0131rmak amac\u0131yla en k\u00fc\u00e7\u00fck kareler y\u00f6ntemini kullanmak i\u00e7in lm() i\u015flevini kullanabiliriz. Bu i\u015flev a\u015fa\u011f\u0131daki temel s\u00f6zdizimini kullan\u0131r: model &lt;- lm(response ~ predictor, data=df) A\u015fa\u011f\u0131daki \u00f6rnek bu i\u015flevin R&#8217;de nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir. \u00d6rnek: R&#8217;de [&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-3907","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>R - Statorials&#039;de en k\u00fc\u00e7\u00fck kareler y\u00f6ntemi nas\u0131l kullan\u0131l\u0131r?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, R&#039;deki bir veri k\u00fcmesine bir regresyon \u00e7izgisi s\u0131\u011fd\u0131rmak i\u00e7in en k\u00fc\u00e7\u00fck kareler y\u00f6nteminin nas\u0131l kullan\u0131laca\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\/rde-en-kucuk-kareler-yontemi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - 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