{"id":1471,"date":"2023-07-26T06:28:59","date_gmt":"2023-07-26T06:28:59","guid":{"rendered":"https:\/\/statorials.org\/id\/sst-ssr-sse-di-sungai\/"},"modified":"2023-07-26T06:28:59","modified_gmt":"2023-07-26T06:28:59","slug":"sst-ssr-sse-di-sungai","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/sst-ssr-sse-di-sungai\/","title":{"rendered":"Cara menghitung sst, ssr dan sse di r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Kita sering menggunakan tiga <a href=\"https:\/\/statorials.org\/id\/sst-ssr-sse\/\" target=\"_blank\" rel=\"noopener\">jumlah nilai kuadrat<\/a> yang berbeda untuk mengukur seberapa cocok <a href=\"https:\/\/statorials.org\/id\/regresi-linier-1\/\" target=\"_blank\" rel=\"noopener\">garis regresi<\/a> dengan kumpulan data:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Jumlah Kuadrat Total (SST) \u2013<\/strong> Jumlah kuadrat selisih antara masing-masing titik data ( <sub>yi<\/sub> ) dan rata-rata variabel respons ( <span style=\"border-top: 1px solid black;\">y<\/span> ).<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SST = \u03a3( <sub>kamu<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">kamu<\/span> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2. Regresi Jumlah Kuadrat (SSR)<\/strong> \u2013 Jumlah kuadrat selisih antara titik data prediksi (\u0177 <sub>i<\/sub> ) dan rata-rata variabel respons ( <span style=\"border-top: 1px solid black;\">y<\/span> ).<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SSR = \u03a3(\u0177 <sub>saya<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">kamu<\/span> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>3. Sum of Squares Error (SSE)<\/strong> \u2013 Jumlah kuadrat selisih antara titik data prediksi (\u0177 <sub>i<\/sub> ) dan titik data observasi (y <sub>i<\/sub> ).<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SSE = \u03a3(\u0177 <sub>saya<\/sub> \u2013 y <sub>saya<\/sub> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Contoh langkah demi langkah berikut menunjukkan cara menghitung masing-masing metrik ini untuk model regresi tertentu di R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Langkah 1: Buat datanya<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Pertama, mari kita buat kumpulan data yang berisi jumlah jam belajar dan nilai ujian yang diperoleh untuk 20 siswa berbeda di perguruan tinggi tertentu:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (hours=c(1, 1, 1, 2, 2, 2, 2, 2, 3, 3,\n                         3, 4, 4, 4, 5, 5, 6, 7, 7, 8),\n                 score=c(68, 76, 74, 80, 76, 78, 81, 84, 86, 83,\n                         88, 85, 89, 94, 93, 94, 96, 89, 92, 97))\n\n<span style=\"color: #008080;\">#view first six rows of data frame\n<\/span>head(df)\n\n  hours score\n1 1 68\n2 1 76\n3 1 74\n4 2 80\n5 2 76\n6 2 78<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Langkah 2: Sesuaikan model regresi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Selanjutnya, kita akan menggunakan fungsi <strong>lm()<\/strong> untuk menyesuaikan model regresi linier sederhana dengan menggunakan skor sebagai <a href=\"https:\/\/statorials.org\/id\/variabel-tanggapan-penjelas\/\" target=\"_blank\" rel=\"noopener\">variabel respon<\/a> dan jam sebagai variabel prediktor:<\/span><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit regression model<\/span>\nmodel &lt;- lm(score ~ hours, data = df)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = score ~ hours, data = df)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-8.6970 -2.5156 -0.0737 3.1100 7.5495 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 73.4459 1.9147 38.360 &lt; 2nd-16 ***\nhours 3.2512 0.4603 7.063 1.38e-06 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 4.289 on 18 degrees of freedom\nMultiple R-squared: 0.7348, Adjusted R-squared: 0.7201 \nF-statistic: 49.88 on 1 and 18 DF, p-value: 1.378e-06\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Langkah 3: Hitung SST, SSR dan SSE<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan sintaks berikut untuk menghitung SST, SSR dan SSE:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find sse<\/span>\nsse &lt;- <span style=\"color: #3366ff;\">sum<\/span> (( <span style=\"color: #3366ff;\">fitted<\/span> (model) - df$score)^2)\nsse\n\n[1] 331.0749\n\n<span style=\"color: #008080;\">#find ssr\n<\/span>ssr &lt;- <span style=\"color: #3366ff;\">sum<\/span> (( <span style=\"color: #3366ff;\">fitted<\/span> (model) - <span style=\"color: #3366ff;\">mean<\/span> (df$score))^2)\nssr\n\n[1] 917.4751\n\n<span style=\"color: #008080;\">#find sst\n<\/span>sst &lt;- ssr + sse\nsst\n\n[1] 1248.55\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Metriknya ternyata adalah:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Jumlah total kuadrat (SST):<\/strong> 1248,55<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Regresi Jumlah Kuadrat (SSR):<\/strong> 917.4751<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Kesalahan jumlah kuadrat (SSE):<\/strong> 331.0749<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kami dapat memverifikasi bahwa SST = SSR + SSE:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SST = SSR + SSE<\/span><\/li>\n<li> <span style=\"color: #000000;\">1248,55 = 917,4751 + 331,0749<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kita juga dapat menghitung <a href=\"https:\/\/statorials.org\/id\/nilai-r-kuadrat-yang-bagus\/\" target=\"_blank\" rel=\"noopener\">R kuadrat<\/a> model regresi secara manual:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">R kuadrat = SSR \/ SST<\/span><\/li>\n<li> <span style=\"color: #000000;\">R kuadrat = 917,4751 \/ 1248,55<\/span><\/li>\n<li> <span style=\"color: #000000;\">R kuadrat = 0,7348<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Hal ini menunjukkan bahwa <strong>73,48%<\/strong> variasi nilai ujian dapat dijelaskan oleh jumlah jam belajar.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Anda dapat menggunakan kalkulator berikut untuk menghitung SST, SSR, dan SSE secara otomatis untuk garis regresi linier sederhana:<\/span><\/p>\n<p> Kalkulator SST<br \/> Kalkulator RSS<br \/> Kalkulator ESS<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kita sering menggunakan tiga jumlah nilai kuadrat yang berbeda untuk mengukur seberapa cocok garis regresi dengan kumpulan data: 1. Jumlah Kuadrat Total (SST) \u2013 Jumlah kuadrat selisih antara masing-masing titik data ( yi ) dan rata-rata variabel respons ( y ). SST = \u03a3( kamu \u2013 kamu ) 2 2. Regresi Jumlah Kuadrat (SSR) \u2013 [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Cara menghitung SST, SSR dan SSE di R - Statorials<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara menghitung SST, SSR, dan SSE untuk setiap garis regresi di R, termasuk contohnya.\" \/>\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\/id\/sst-ssr-sse-di-sungai\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara menghitung SST, SSR dan SSE di R - Statorials\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara menghitung SST, SSR, dan SSE untuk setiap garis regresi di R, termasuk contohnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/sst-ssr-sse-di-sungai\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T06:28:59+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/sst-ssr-sse-di-sungai\/\",\"url\":\"https:\/\/statorials.org\/id\/sst-ssr-sse-di-sungai\/\",\"name\":\"Cara menghitung SST, SSR dan SSE di R - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T06:28:59+00:00\",\"dateModified\":\"2023-07-26T06:28:59+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara menghitung SST, SSR, dan SSE untuk setiap garis regresi di R, termasuk contohnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/sst-ssr-sse-di-sungai\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/sst-ssr-sse-di-sungai\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/sst-ssr-sse-di-sungai\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara menghitung sst, ssr dan sse di r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. 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