{"id":1569,"date":"2023-07-25T20:22:51","date_gmt":"2023-07-25T20:22:51","guid":{"rendered":"https:\/\/statorials.org\/tr\/logaritmik-regresyon-pitonu\/"},"modified":"2023-07-25T20:22:51","modified_gmt":"2023-07-25T20:22:51","slug":"logaritmik-regresyon-pitonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/logaritmik-regresyon-pitonu\/","title":{"rendered":"Python&#39;da logaritmik regresyon (ad\u0131m ad\u0131m)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Logaritmik regresyon,<\/strong> b\u00fcy\u00fcmenin veya d\u00fc\u015f\u00fc\u015f\u00fcn ilk ba\u015fta h\u0131zl\u0131 bir \u015fekilde h\u0131zland\u0131\u011f\u0131 ve daha sonra zamanla yava\u015flad\u0131\u011f\u0131 durumlar\u0131 modellemek i\u00e7in kullan\u0131lan bir regresyon t\u00fcr\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki grafik logaritmik bozunman\u0131n bir \u00f6rne\u011fini g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14289 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/expregexcel2.png\" alt=\"\" width=\"375\" height=\"284\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu t\u00fcr bir durum i\u00e7in, yorday\u0131c\u0131 de\u011fi\u015fken ile <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeni<\/a> aras\u0131ndaki ili\u015fki, logaritmik regresyon kullan\u0131larak iyi bir \u015fekilde modellenebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Logaritmik regresyon modelinin denklemi a\u015fa\u011f\u0131daki formu al\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = a + b*ln(x)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y:<\/strong> yan\u0131t de\u011fi\u015fkeni<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> tahmin de\u011fi\u015fkeni<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>a, b:<\/strong> <em>x<\/em> ve <em>y<\/em> aras\u0131ndaki ili\u015fkiyi tan\u0131mlayan regresyon katsay\u0131lar\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek Python&#8217;da logaritmik regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle iki de\u011fi\u015fken i\u00e7in sahte veriler olu\u015ftural\u0131m: <em>x<\/em> ve <em>y<\/em> :<\/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\nx = np. <span style=\"color: #3366ff;\">arange<\/span> (1, 16, 1)\ny = np. <span style=\"color: #3366ff;\">array<\/span> ([59, 50, 44, 38, 33, 28, 23, 20, 17, 15, 13, 12, 11, 10, 9.5])\n<\/strong><\/pre>\n<h3> <strong>2. Ad\u0131m: Verileri g\u00f6rselle\u015ftirin<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u015eimdi <em>x<\/em> ile <em>y<\/em> aras\u0131ndaki ili\u015fkiyi g\u00f6rselle\u015ftirmek i\u00e7in h\u0131zl\u0131 bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015ftural\u0131m:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\nplt. <span style=\"color: #3366ff;\">scatter<\/span> (x,y)\nplt. <span style=\"color: #3366ff;\">show<\/span> ()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15561 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/logpython1.png\" alt=\"\" width=\"393\" height=\"268\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Grafikten iki de\u011fi\u015fken aras\u0131nda logaritmik bir bozunma modelinin oldu\u011funu g\u00f6rebiliriz. Yan\u0131t de\u011fi\u015fkeninin de\u011feri, <em>y<\/em> , ilk ba\u015fta h\u0131zl\u0131 bir \u015fekilde azal\u0131r, daha sonra zamanla yava\u015flar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle de\u011fi\u015fkenler aras\u0131ndaki ili\u015fkiyi tan\u0131mlamak i\u00e7in logaritmik bir regresyon denklemi kullanmak ak\u0131ll\u0131ca g\u00f6r\u00fcnmektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Logaritmik regresyon modelini yerle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, tahmin de\u011fi\u015fkeni olarak <em>x&#8217;in<\/em> ve yan\u0131t de\u011fi\u015fkeni olarak <em>y&#8217;nin<\/em> do\u011fal logaritmas\u0131n\u0131 kullanarak logaritmik bir regresyon modeline uyum sa\u011flamak i\u00e7in <strong>polyfit()<\/strong> i\u015flevini kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit the model<\/span>\nfit = np. <span style=\"color: #3366ff;\">polyfit<\/span> (np. <span style=\"color: #3366ff;\">log<\/span> (x), y, 1)\n<\/strong><strong>\n<span style=\"color: #008080;\">#view the output of the model<\/span>\nprint(fit)\n\n[-20.19869943 63.06859979]\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan elde edilen katsay\u0131lar\u0131 kullanarak a\u015fa\u011f\u0131daki d\u00fczeltilmi\u015f logaritmik regresyon denklemini yazabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = 63.0686 \u2013 20.1987 * ln(x)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu denklemi, tahmin de\u011fi\u015fkeni <em>x&#8217;in<\/em> de\u011ferine dayanarak yan\u0131t de\u011fi\u015fkeni <em>y&#8217;yi<\/em> tahmin etmek i\u00e7in kullanabiliriz. \u00d6rne\u011fin, <em>x<\/em> = 12 ise <em>y&#8217;nin<\/em> <strong>12,87<\/strong> olaca\u011f\u0131n\u0131 tahmin ederiz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = 63,0686 \u2013 20,1987 * ln(12) = <strong>12,87<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Bonus:<\/strong> Belirli bir tahminci ve yan\u0131t de\u011fi\u015fkeni i\u00e7in logaritmik regresyon denklemini otomatik olarak hesaplamak i\u00e7in bu \u00e7evrimi\u00e7i logaritmik regresyon hesaplay\u0131c\u0131s\u0131n\u0131 kullanmaktan \u00e7ekinmeyin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Do\u011frusal Regresyon \u0130\u00e7in Tam Bir K\u0131lavuz<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ustel-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da \u00dcstel Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/lojistik-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Lojistik Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Logaritmik regresyon, b\u00fcy\u00fcmenin veya d\u00fc\u015f\u00fc\u015f\u00fcn ilk ba\u015fta h\u0131zl\u0131 bir \u015fekilde h\u0131zland\u0131\u011f\u0131 ve daha sonra zamanla yava\u015flad\u0131\u011f\u0131 durumlar\u0131 modellemek i\u00e7in kullan\u0131lan bir regresyon t\u00fcr\u00fcd\u00fcr. \u00d6rne\u011fin, a\u015fa\u011f\u0131daki grafik logaritmik bozunman\u0131n bir \u00f6rne\u011fini g\u00f6stermektedir: Bu t\u00fcr bir durum i\u00e7in, yorday\u0131c\u0131 de\u011fi\u015fken ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fki, logaritmik regresyon kullan\u0131larak iyi bir \u015fekilde modellenebilir. Logaritmik regresyon modelinin denklemi a\u015fa\u011f\u0131daki [&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-1569","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 Logaritmik Regresyon (ad\u0131m ad\u0131m) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere Python&#039;da logaritmik regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi 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\/logaritmik-regresyon-pitonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da Logaritmik Regresyon (ad\u0131m ad\u0131m) - 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