{"id":2213,"date":"2023-07-23T05:50:48","date_gmt":"2023-07-23T05:50:48","guid":{"rendered":"https:\/\/statorials.org\/tr\/enterpolasyon-ve-ekstrapolasyon\/"},"modified":"2023-07-23T05:50:48","modified_gmt":"2023-07-23T05:50:48","slug":"enterpolasyon-ve-ekstrapolasyon","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/enterpolasyon-ve-ekstrapolasyon\/","title":{"rendered":"Enterpolasyon veya ekstrapolasyon: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00d6\u011frencilerin istatistikte s\u0131kl\u0131kla kar\u0131\u015ft\u0131rd\u0131\u011f\u0131 iki terim <strong>enterpolasyon<\/strong> ve <strong>ekstrapolasyondur<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130\u015fte fark:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Enterpolasyon,<\/strong> bir dizi veri noktas\u0131 <em>kapsam\u0131na<\/em> giren de\u011ferlerin tahmin edilmesini ifade eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ekstrapolasyon,<\/strong> bir dizi veri noktas\u0131n\u0131n <em>d\u0131\u015f\u0131nda<\/em> kalan de\u011ferlerin tahmin edilmesini ifade eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, iki terim aras\u0131ndaki fark\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: enterpolasyon ve ekstrapolasyon<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20304 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/interp1.png\" alt=\"\" width=\"567\" height=\"412\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu noktalara <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">basit bir do\u011frusal regresyon modeli<\/a> uydurmaya karar verebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20305 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/interp2.png\" alt=\"\" width=\"566\" height=\"404\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra veri noktalar\u0131 aral\u0131\u011f\u0131n\u0131n hem <em>i\u00e7indeki<\/em> hem de <em>d\u0131\u015f\u0131ndaki<\/em> nokta de\u011ferlerini tahmin etmek i\u00e7in uygun regresyon modelini kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mevcut veri noktalar\u0131 aral\u0131\u011f\u0131 i\u00e7indeki nokta de\u011ferlerini tahmin etmek i\u00e7in uygun regresyon modelini kulland\u0131\u011f\u0131m\u0131zda buna <strong>enterpolasyon denir.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, mevcut aral\u0131\u011f\u0131n d\u0131\u015f\u0131ndaki nokta de\u011ferlerini tahmin etmek i\u00e7in uygun regresyon modelini kulland\u0131\u011f\u0131m\u0131zda buna <strong>ekstrapolasyon<\/strong> denir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20306 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/interp3.png\" alt=\"\" width=\"570\" height=\"404\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ekstrapolasyonun potansiyel tehlikesi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tahmin y\u00fcr\u00fctt\u00fc\u011f\u00fcm\u00fczde, mevcut veri noktalar\u0131 aral\u0131\u011f\u0131 i\u00e7inde var olan ayn\u0131 modelin aral\u0131\u011f\u0131n d\u0131\u015f\u0131nda da var oldu\u011funu varsayar\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak bu tehlikeli bir varsay\u0131m olabilir \u00e7\u00fcnk\u00fc mevcut veri noktalar\u0131 aral\u0131\u011f\u0131n\u0131n d\u0131\u015f\u0131nda var olan modelin \u00e7ok farkl\u0131 olmas\u0131 m\u00fcmk\u00fcnd\u00fcr:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-20307 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/interp4.png\" alt=\"ekstrapolasyon tehlikesi\" width=\"563\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle, regresyon modelini olu\u015fturmak i\u00e7in kullan\u0131lan de\u011fer aral\u0131\u011f\u0131n\u0131n d\u0131\u015f\u0131nda kalan veri noktas\u0131 de\u011ferlerini tahmin etmek i\u00e7in ekstrapolasyon kullanmak tehlikeli olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uygulamada, mevcut de\u011fer aral\u0131\u011f\u0131n\u0131n biraz d\u0131\u015f\u0131nda kalan nokta de\u011ferlerini tahmin etmek i\u00e7in ekstrapolasyon kullanmak genellikle mant\u0131kl\u0131d\u0131r, ancak aral\u0131ktan uzakla\u015ft\u0131k\u00e7a, tahmin edilen de\u011fer ile ger\u00e7ek de\u011fer aras\u0131ndaki fark\u0131n ortaya \u00e7\u0131kma olas\u0131l\u0131\u011f\u0131 da o kadar artar. de\u011fer \u00f6nemlidir. .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ekstrapolasyon ne zaman kullan\u0131l\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ekstrapolasyonun makul bir fikir olup olmad\u0131\u011f\u0131n\u0131 belirlemek genellikle alana \u00f6zg\u00fc uzmanl\u0131k gerektirir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir \u015firketin pazarlama departman\u0131n\u0131n reklam harcamalar\u0131n\u0131 \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken olarak ve toplam geliri yan\u0131t de\u011fi\u015fkeni olarak kullanarak basit bir do\u011frusal regresyon modeli uygulad\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryoda, reklam harcamalar\u0131ndaki istikrarl\u0131 bir art\u0131\u015f\u0131n toplam gelirde \u00f6ng\u00f6r\u00fclebilir bir art\u0131\u015fa yol a\u00e7aca\u011f\u0131n\u0131 varsaymak mant\u0131kl\u0131 olabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20311 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/interp5.png\" alt=\"\" width=\"565\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryoda de\u011ferleri tahmin etme yetene\u011fimize olduk\u00e7a g\u00fcvenebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak bir biyolo\u011fun bitki b\u00fcy\u00fcmesini tahmin etmek i\u00e7in toplam g\u00fcbreyi kullanmak istedi\u011fi bir senaryoyu d\u00fc\u015f\u00fcn\u00fcn.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri noktalar\u0131na basit bir do\u011frusal regresyon modeli uydurmaya karar verebilir, ancak bitki boyunun bir \u00fcst s\u0131n\u0131r\u0131 oldu\u011fundan, nokta de\u011ferlerini tahmin etmek i\u00e7in ekstrapolasyon kullanmak muhtemelen mant\u0131kl\u0131 de\u011fildir. de\u011fer aral\u0131\u011f\u0131n\u0131n d\u0131\u015f\u0131nda. modele uymak i\u00e7in kullan\u0131lan de\u011ferler:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20312 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/interp6.png\" alt=\"\" width=\"565\" height=\"402\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryoda, de\u011ferleri tahmin etme yetene\u011fimize \u00e7ok daha az g\u00fcvenebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7\u0131kar\u0131lan sonu\u00e7<\/strong> : Ekstrapolasyon baz\u0131 b\u00f6lgelerde di\u011ferlerinden daha anlaml\u0131 olabilir, ancak modele uymak i\u00e7in kullan\u0131lan de\u011ferler aral\u0131\u011f\u0131nda var olan modelin plaj\u0131n d\u0131\u015f\u0131nda var olmamas\u0131 ihtimali her zaman potansiyel bir tehlikedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-enterpolasyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de do\u011frusal enterpolasyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/regresyon-tahminleri\/\" target=\"_blank\" rel=\"noopener\">Do\u011frusal regresyonla tahminler nas\u0131l yap\u0131l\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00d6\u011frencilerin istatistikte s\u0131kl\u0131kla kar\u0131\u015ft\u0131rd\u0131\u011f\u0131 iki terim enterpolasyon ve ekstrapolasyondur . \u0130\u015fte fark: Enterpolasyon, bir dizi veri noktas\u0131 kapsam\u0131na giren de\u011ferlerin tahmin edilmesini ifade eder. Ekstrapolasyon, bir dizi veri noktas\u0131n\u0131n d\u0131\u015f\u0131nda kalan de\u011ferlerin tahmin edilmesini ifade eder. A\u015fa\u011f\u0131daki \u00f6rnek, iki terim aras\u0131ndaki fark\u0131 g\u00f6stermektedir. \u00d6rnek: enterpolasyon ve ekstrapolasyon A\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m: Bu noktalara [&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-2213","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>Enterpolasyon ve ekstrapolasyon: fark nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde istatistikte enterpolasyon ve ekstrapolasyon aras\u0131ndaki fark birka\u00e7 \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\/enterpolasyon-ve-ekstrapolasyon\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Enterpolasyon ve ekstrapolasyon: fark nedir? 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