{"id":1649,"date":"2023-07-25T12:50:55","date_gmt":"2023-07-25T12:50:55","guid":{"rendered":"https:\/\/statorials.org\/tr\/python-egrisi-uydurma\/"},"modified":"2023-07-25T12:50:55","modified_gmt":"2023-07-25T12:50:55","slug":"python-egrisi-uydurma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/python-egrisi-uydurma\/","title":{"rendered":"Python&#39;da e\u011fri uydurma (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00c7o\u011fu zaman Python&#8217;da bir veri k\u00fcmesine bir e\u011fri s\u0131\u011fd\u0131rmak isteyebilirsiniz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16261 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbepython3.png\" alt=\"\" width=\"392\" height=\"265\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, <a href=\"https:\/\/numpy.org\/doc\/stable\/reference\/generated\/numpy.polyfit.html\" target=\"_blank\" rel=\"noopener\">numpy.polyfit()<\/a> i\u015flevini kullanarak e\u011frilerin Python&#8217;daki verilere nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 ve verilere en iyi uyan e\u011frinin nas\u0131l belirlenece\u011fini a\u00e7\u0131klamaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri olu\u015fturun ve g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Sahte bir veri k\u00fcmesi olu\u015fturarak ba\u015flayal\u0131m, ard\u0131ndan verileri g\u00f6rselle\u015ftirmek i\u00e7in 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> pandas <span style=\"color: #008000;\">as<\/span> pd\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">x<\/span> ': [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15],\n                   ' <span style=\"color: #ff0000;\">y<\/span> ': [3, 14, 23, 25, 23, 15, 9, 5, 9, 13, 17, 24, 32, 36, 46]})\n\n<span style=\"color: #008080;\">#create scatterplot of x vs. y\n<\/span>plt. <span style=\"color: #3366ff;\">scatter<\/span> (df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> )<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16259 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbepython1.png\" alt=\"\" width=\"399\" height=\"269\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Birden Fazla E\u011friyi Ayarlay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra verilere birka\u00e7 polinom regresyon modeli yerle\u015ftirelim ve her modelin e\u011frisini ayn\u0131 \u00e7izimde g\u00f6rselle\u015ftirelim:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n\n<span style=\"color: #008080;\">#fit polynomial models up to degree 5\n<\/span>model1 = np. <span style=\"color: #3366ff;\">poly1d<\/span> (np. <span style=\"color: #3366ff;\">polyfit<\/span> (df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 1))\nmodel2 = np. <span style=\"color: #3366ff;\">poly1d<\/span> (np. <span style=\"color: #3366ff;\">polyfit<\/span> (df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 2))\nmodel3 = np. <span style=\"color: #3366ff;\">poly1d<\/span> (np. <span style=\"color: #3366ff;\">polyfit<\/span> (df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 3))\nmodel4 = np. <span style=\"color: #3366ff;\">poly1d<\/span> (np. <span style=\"color: #3366ff;\">polyfit<\/span> (df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 4))\nmodel5 = np. <span style=\"color: #3366ff;\">poly1d<\/span> (np. <span style=\"color: #3366ff;\">polyfit<\/span> (df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 5))\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>polyline = np. <span style=\"color: #3366ff;\">linspace<\/span> (1, 15, 50)\nplt. <span style=\"color: #3366ff;\">scatter<\/span> (df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> )\n\n<span style=\"color: #008080;\">#add fitted polynomial lines to scatterplot \n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (polyline, model1(polyline), color=' <span style=\"color: #ff0000;\">green<\/span> ')\nplt. <span style=\"color: #3366ff;\">plot<\/span> (polyline, model2(polyline), color=' <span style=\"color: #ff0000;\">red<\/span> ')\nplt. <span style=\"color: #3366ff;\">plot<\/span> (polyline, model3(polyline), color=' <span style=\"color: #ff0000;\">purple<\/span> ')\nplt. <span style=\"color: #3366ff;\">plot<\/span> (polyline, model4(polyline), color=' <span style=\"color: #ff0000;\">blue<\/span> ')\nplt. <span style=\"color: #3366ff;\">plot<\/span> (polyline, model5(polyline), color=' <span style=\"color: #ff0000;\">orange<\/span> ')\nplt. <span style=\"color: #3366ff;\">show<\/span> ()\n<\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16260 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbepython2.png\" alt=\"\" width=\"408\" height=\"279\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Hangi e\u011frinin verilere en iyi \u015fekilde uydu\u011funu belirlemek i\u00e7in her modelin <a href=\"https:\/\/statorials.org\/tr\/rdeki-r-kareler-uyar\/\" target=\"_blank\" rel=\"noopener\">d\u00fczeltilmi\u015f R karesine<\/a> bakabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011fer bize, yorday\u0131c\u0131 de\u011fi\u015fken say\u0131s\u0131na g\u00f6re ayarlanan, modeldeki yorday\u0131c\u0131 de\u011fi\u015fken(ler) taraf\u0131ndan a\u00e7\u0131klanabilecek yan\u0131t de\u011fi\u015fkenindeki varyasyonun y\u00fczdesini belirtir.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define function to calculate adjusted r-squared\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">def<\/span> adjR(x, y, degree):\n    results = {}\n    coeffs = np. <span style=\"color: #3366ff;\">polyfit<\/span> (x, y, degree)\n    p = np. <span style=\"color: #3366ff;\">poly1d<\/span> (coeffs)\n    yhat = p(x)\n    ybar = np. <span style=\"color: #3366ff;\">sum<\/span> (y)\/len(y)\n    ssreg = np. <span style=\"color: #3366ff;\">sum<\/span> ((yhat-ybar)**2)\n    sstot = np. <span style=\"color: #3366ff;\">sum<\/span> ((y - ybar)**2)\n    results[' <span style=\"color: #ff0000;\">r_squared<\/span> '] = 1- (((1-(ssreg\/sstot))*(len(y)-1))\/(len(y)-degree-1))\n\n    <span style=\"color: #008000;\">return<\/span> results<\/span>\n\n#calculated adjusted R-squared of each model\n<\/span>adjR(df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 1)\nadjR(df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 2)\nadjR(df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 3)\nadjR(df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 4)\nadjR(df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 5)\n\n{'r_squared': 0.3144819}\n{'r_squared': 0.5186706}\n{'r_squared': 0.7842864}\n{'r_squared': 0.9590276}\n{'r_squared': 0.9549709}\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan, en y\u00fcksek d\u00fczeltilmi\u015f R-kare de\u011ferine sahip modelin, d\u00fczeltilmi\u015f R-kare de\u011feri <strong>0,959<\/strong> olan d\u00f6rd\u00fcnc\u00fc derece polinom oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>3. Ad\u0131m: Son e\u011friyi g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Son olarak d\u00f6rd\u00fcnc\u00fc derece polinom modelinin e\u011frisiyle bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit fourth-degree polynomial\n<\/span>model4 = np. <span style=\"color: #3366ff;\">poly1d<\/span> (np. <span style=\"color: #3366ff;\">polyfit<\/span> (df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> , 4))\n\n<span style=\"color: #008080;\">#define scatterplot\n<\/span>polyline = np. <span style=\"color: #3366ff;\">linspace<\/span> (1, 15, 50)\nplt. <span style=\"color: #3366ff;\">scatter<\/span> (df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> )\n\n<span style=\"color: #008080;\">#add fitted polynomial curve to scatterplot\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (polyline, model4(polyline), ' <span style=\"color: #ff0000;\">--<\/span> ', color=' <span style=\"color: #ff0000;\">red<\/span> ')\nplt. <span style=\"color: #3366ff;\">show<\/span> ()\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16261 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbepython3.png\" alt=\"\" width=\"392\" height=\"265\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu sat\u0131r\u0131n denklemini <strong>print()<\/strong> fonksiyonunu kullanarak da elde edebiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">print<\/span> (model4)\n\n          4 3 2\n-0.01924x + 0.7081x - 8.365x + 35.82x - 26.52\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">E\u011frinin denklemi a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = -0,01924x <sup>4<\/sup> + 0,7081x <sup>3<\/sup> \u2013 8,365x <sup>2<\/sup> + 35,82x \u2013 26,52<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu denklemi, modeldeki yorday\u0131c\u0131 de\u011fi\u015fkenlere dayal\u0131 olarak <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeninin<\/a> de\u011ferini tahmin etmek i\u00e7in kullanabiliriz. \u00d6rne\u011fin, e\u011fer <em>x<\/em> = 4 ise <em>y<\/em> = <strong>23,32<\/strong> olaca\u011f\u0131n\u0131 tahmin ederiz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = -0,0192(4) <sup>4<\/sup> + 0,7081(4) <sup>3<\/sup> \u2013 8,365(4) <sup>2<\/sup> + 35,82(4) \u2013 26,52 = 23,32<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/polinom-regresyonu-1\/\" target=\"_blank\" rel=\"noopener\">Polinom Regresyona Giri\u015f<br \/><\/a> <a href=\"https:\/\/statorials.org\/tr\/polinom-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da polinom regresyonu nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c7o\u011fu zaman Python&#8217;da bir veri k\u00fcmesine bir e\u011fri s\u0131\u011fd\u0131rmak isteyebilirsiniz. A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, numpy.polyfit() i\u015flevini kullanarak e\u011frilerin Python&#8217;daki verilere nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 ve verilere en iyi uyan e\u011frinin nas\u0131l belirlenece\u011fini a\u00e7\u0131klamaktad\u0131r. 1. Ad\u0131m: Verileri olu\u015fturun ve g\u00f6rselle\u015ftirin Sahte bir veri k\u00fcmesi olu\u015fturarak ba\u015flayal\u0131m, ard\u0131ndan verileri g\u00f6rselle\u015ftirmek i\u00e7in bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015ftural\u0131m: import pandas as pd [&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-1649","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 E\u011fri Uydurma (\u00d6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da e\u011frilerin nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131 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\/python-egrisi-uydurma\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da E\u011fri Uydurma (\u00d6rneklerle) - 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