{"id":1214,"date":"2023-07-27T06:42:18","date_gmt":"2023-07-27T06:42:18","guid":{"rendered":"https:\/\/statorials.org\/id\/regresi-linier-berganda-dengan-tangan\/"},"modified":"2023-07-27T06:42:18","modified_gmt":"2023-07-27T06:42:18","slug":"regresi-linier-berganda-dengan-tangan","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/regresi-linier-berganda-dengan-tangan\/","title":{"rendered":"Regresi linier berganda dengan tangan (langkah demi langkah)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/regresi-linier-berganda\/\" target=\"_blank\" rel=\"noopener noreferrer\">Regresi linier berganda<\/a> merupakan metode yang dapat kita gunakan untuk mengukur hubungan antara dua atau lebih variabel prediktor dan <a href=\"https:\/\/statorials.org\/id\/variabel-tanggapan-penjelas\/\" target=\"_blank\" rel=\"noopener noreferrer\">variabel respon<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tutorial ini menjelaskan cara melakukan regresi linier berganda secara manual.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: regresi linier berganda dengan tangan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita mempunyai kumpulan data berikut dengan variabel respon <em>y<\/em> dan dua variabel prediktor x <sub>1<\/sub> dan x <sub>2<\/sub> :<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12005 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multbyhand1.png\" alt=\"\" width=\"223\" height=\"193\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Selesaikan langkah-langkah berikut untuk menyesuaikan model regresi linier berganda dengan kumpulan data ini.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1: Hitung x <sub>1<\/sub> <sup>2<\/sup> , x <sub>2<\/sub> <sup>2<\/sup> , x <sub>1<\/sub> y, x <sub>2<\/sub> y dan x <sub>1<\/sub> x <sub>2<\/sub> .<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12006 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multbyhand2.png\" alt=\"Regresi linier berganda dengan tangan\" width=\"668\" height=\"239\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2: Hitung jumlah regresi.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Selanjutnya, lakukan perhitungan jumlah regresi berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><sub>\u03a3x12<\/sub> <sup>=<\/sup><\/span> <span style=\"color: #000000;\"><sup>\u03a3X12<\/sup> <sub>\u2013<\/sub> ( <sub>\u03a3X1<\/sub> ) <sup>2<\/sup> \/ n = 38,767 \u2013 (555) <sup>2<\/sup> \/ 8 = <strong>263,875<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>\u03a3x22<\/sub> <sup>=<\/sup><\/span> <span style=\"color: #000000;\"><sup>\u03a3X22<\/sup> <sub>\u2013<\/sub> ( <sub>\u03a3X2<\/sub> ) <sup>2<\/sup> \/ n = 2823 \u2013 (145) <sup>2<\/sup> \/ 8 = <strong>194,875<\/strong><\/span><\/li>\n<li> \u03a3 <span style=\"color: #000000;\">x <sub>1<\/sub><\/span> <span style=\"color: #000000;\"><sub>kamu<\/sub> <sub>=<\/sub> <strong>\u03a3<\/strong><\/span><\/li>\n<li> \u03a3 <span style=\"color: #000000;\">x <sub>2<\/sub><\/span> <span style=\"color: #000000;\"><sub>kamu<\/sub> <sub>=<\/sub> <strong>\u03a3<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>\u03a3<\/sub> <sub>x<\/sub> <sub>1<\/sub> <sub>x<\/sub> <strong>2<\/strong><\/span> <span style=\"color: #000000;\"><sub>=<\/sub> <sub>\u03a3<\/sub><\/span> <\/li>\n<\/ul>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12007 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multbyhand3.png\" alt=\"Contoh regresi linier berganda dengan tangan\" width=\"667\" height=\"278\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3: Hitung b <sub>0<\/sub> , b <sub>1<\/sub> dan b <sub>2<\/sub> .<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Rumus untuk menghitung b <sub>1<\/sub> adalah: [(\u03a3x <sub>2<\/sub> <sup>2<\/sup> )(\u03a3x <sub>1<\/sub> y) \u2013 (\u03a3x <sub>1<\/sub> x <sub>2<\/sub> )(\u03a3x <sub>2<\/sub> y)] \/ [(\u03a3x <sub>1<\/sub> <sup>2<\/sup> )(\u03a3x <sub>2<\/sub> <sup>2<\/sup> ) \u2013 (\u03a3x <sub>1<\/sub> x <sub>2<\/sub> ) <sup>2<\/sup> ]<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Jadi, <strong>b <sub>1<\/sub><\/strong> = [(194.875)(1162.5) \u2013 (-200.375)(-953.5)] \/ [(263.875) (194.875) \u2013 (-200.375) <sup>2<\/sup> ] = <strong>3.148<\/strong><\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Rumus untuk menghitung b <sub>2<\/sub> adalah: [(\u03a3x <sub>1<\/sub> <sup>2<\/sup> )(\u03a3x <sub>2<\/sub> y) \u2013 (\u03a3x <sub>1<\/sub> x <sub>2<\/sub> )(\u03a3x <sub>1<\/sub> y)] \/ [(\u03a3x <sub>1<\/sub> <sup>2<\/sup> )(\u03a3x <sub>2<\/sub> <sup>2<\/sup> ) \u2013 (\u03a3x <sub>1<\/sub> x <sub>2<\/sub> ) <sup>2<\/sup> ]<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jadi, <strong>b <sub>2<\/sub><\/strong> = [(263.875)(-953.5) \u2013 (-200.375)(1152.5)] \/ [(263.875) (194.875) \u2013 (-200.375) <sup>2<\/sup> ] = <strong>-1.656<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Rumus untuk menghitung b <sub>0<\/sub> adalah: <span style=\"text-decoration: overline;\">y<\/span> \u2013 b <sub>1<\/sub> <span style=\"text-decoration: overline;\">X<\/span> <sub>1<\/sub> \u2013 b <sub>2<\/sub> <span style=\"text-decoration: overline;\">X<\/span> <sub>2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">Jadi, <strong>b <sub>0<\/sub><\/strong> = 181,5 \u2013 3,148(69,375) \u2013 (-1,656)(18,125) = <strong>-6,867<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 5: Tempatkan b <sub>0<\/sub> , b <sub>1<\/sub> dan b <sub>2<\/sub> ke dalam estimasi persamaan regresi linier.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Persamaan regresi linier yang diestimasi adalah: \u0177 = b <sub>0<\/sub> + b <sub>1<\/sub> *x <sub>1<\/sub> + b <sub>2<\/sub> *x <sub>2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">Dalam contoh kita, <strong>\u0177 = -6,867 + 3,148x <sub>1<\/sub> \u2013 1,656x <sub>2<\/sub><\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bagaimana menafsirkan persamaan regresi linier berganda<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Berikut cara menafsirkan persamaan regresi linier taksiran ini: \u0177 = -6,867 + 3,148x <sub>1<\/sub> \u2013 1,656x <sub>2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><sub>b0<\/sub> = -6.867<\/strong> . Ketika kedua variabel prediktor sama dengan nol, maka nilai rata-rata y sebesar -6,867.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><sub>b1<\/sub> = 3,148<\/strong> . Peningkatan satu unit pada x <sub>1<\/sub> dikaitkan dengan peningkatan rata-rata 3,148 unit pada y, dengan asumsi x <sub>2<\/sub> tetap konstan.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><sub>b2<\/sub> = -1,656<\/strong> . Peningkatan satu unit pada x <sub>2<\/sub> dikaitkan dengan penurunan rata-rata 1.656 unit pada y, dengan asumsi x <sub>1<\/sub> tetap konstan.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Sumber daya tambahan<\/span><\/strong><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/regresi-linier-berganda\/\" target=\"_blank\" rel=\"noopener noreferrer\">Pengantar Regresi Linier Berganda<\/a><br \/> Cara melakukan regresi linier sederhana dengan tangan<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Regresi linier berganda merupakan metode yang dapat kita gunakan untuk mengukur hubungan antara dua atau lebih variabel prediktor dan variabel respon . Tutorial ini menjelaskan cara melakukan regresi linier berganda secara manual. Contoh: regresi linier berganda dengan tangan Misalkan kita mempunyai kumpulan data berikut dengan variabel respon y dan dua variabel prediktor x 1 dan [&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>Regresi Linier Berganda dengan Tangan (Langkah demi Langkah) - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara melakukan regresi linier berganda secara manual, dengan contoh langkah demi langkah.\" \/>\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\/regresi-linier-berganda-dengan-tangan\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regresi Linier Berganda dengan Tangan (Langkah demi Langkah) - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara melakukan regresi linier berganda secara manual, dengan contoh langkah demi langkah.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/regresi-linier-berganda-dengan-tangan\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T06:42:18+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multbyhand1.png\" \/>\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=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/regresi-linier-berganda-dengan-tangan\/\",\"url\":\"https:\/\/statorials.org\/id\/regresi-linier-berganda-dengan-tangan\/\",\"name\":\"Regresi Linier Berganda dengan Tangan (Langkah demi Langkah) - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-27T06:42:18+00:00\",\"dateModified\":\"2023-07-27T06:42:18+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara melakukan regresi linier berganda secara manual, dengan contoh langkah demi langkah.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/regresi-linier-berganda-dengan-tangan\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/regresi-linier-berganda-dengan-tangan\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/regresi-linier-berganda-dengan-tangan\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Regresi linier berganda dengan tangan (langkah demi langkah)\"}]},{\"@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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