{"id":1476,"date":"2023-07-26T05:55:47","date_gmt":"2023-07-26T05:55:47","guid":{"rendered":"https:\/\/statorials.org\/id\/topi-mu\/"},"modified":"2023-07-26T05:55:47","modified_gmt":"2023-07-26T05:55:47","slug":"topi-mu","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/topi-mu\/","title":{"rendered":"Apa itu y hat dalam statistik?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dalam statistik, istilah <strong>y hat<\/strong> (ditulis <strong>\u0177<\/strong> ) mengacu pada nilai taksiran suatu variabel respon dalam <a href=\"https:\/\/statorials.org\/id\/regresi-linier-1\/\" target=\"_blank\" rel=\"noopener\">model regresi linier<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kami biasanya menulis persamaan regresi yang diperkirakan sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0177 = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> x<\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u0177<\/strong> : Nilai estimasi variabel respon<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03b2 <sub>0<\/sub><\/strong> : Nilai rata-rata variabel respon ketika variabel prediktor bernilai nol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03b2 <sub>1<\/sub><\/strong> : rata-rata perubahan variabel respon yang berhubungan dengan kenaikan satu satuan variabel prediktif<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Misalnya, kita memiliki kumpulan data berikut yang menunjukkan jumlah jam belajar oleh enam siswa berbeda beserta nilai ujian akhir mereka:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sommecarre1.png\" width=\"217\" height=\"191\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Misalkan kita menggunakan perangkat lunak statistik (seperti <a href=\"https:\/\/statorials.org\/id\/regresi-linier-sederhana-di-r\/\" target=\"_blank\" rel=\"noopener\">R<\/a> , <a href=\"https:\/\/statorials.org\/id\/excel-regresi-linier-sederhana\/\" target=\"_blank\" rel=\"noopener\">Excel<\/a> , <a href=\"https:\/\/statorials.org\/id\/regresi-linier-sederhana-dengan-python\/\" target=\"_blank\" rel=\"noopener\">Python<\/a> , atau bahkan secara manual) agar sesuai dengan model regresi berikut menggunakan <em>jam belajar<\/em> sebagai variabel prediktor dan <em>memeriksa hasil<\/em> sebagai variabel respons:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Skor = 66.615 + 5.0769*(Jam)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Cara menginterpretasikan koefisien regresi pada model ini adalah sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Nilai ujian rata-rata seorang siswa yang belajar nol jam adalah <strong>66,615<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Nilai ujian meningkat rata-rata <strong>5,0769<\/strong> poin untuk setiap tambahan jam belajar.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan persamaan regresi ini untuk <em>memperkirakan<\/em> nilai siswa tertentu berdasarkan jumlah jam belajar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, seorang siswa yang belajar selama 3 jam harus mendapat nilai:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Skor = 66,615 + 5,0769*(3) = <strong>81,85<\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Mengapa Y Hat digunakan?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Simbol \u201ctopi\u201d dalam statistik digunakan untuk menunjukkan istilah \u201cperkiraan\u201d. Misalnya, <strong>\u0177<\/strong> digunakan untuk menunjukkan perkiraan variabel respons.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Biasanya, ketika kita menyesuaikan model regresi linier, kita menggunakan <a href=\"https:\/\/statorials.org\/id\/populasi-vs.-sampel\/\" target=\"_blank\" rel=\"noopener\">sampel<\/a> data dari suatu populasi, karena ini lebih mudah dan memakan waktu lebih sedikit dibandingkan mengumpulkan data untuk setiap kemungkinan observasi dalam suatu populasi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jadi ketika kita menemukan persamaan regresi, kita hanya <em>memperkirakan<\/em> hubungan sebenarnya antara variabel prediktor dan variabel respon.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Inilah sebabnya kami menggunakan istilah \u0177 dalam persamaan regresi, bukan y.<\/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-1\/\" target=\"_blank\" rel=\"noopener\">Pengantar Regresi Linier Sederhana<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/regresi-linier-berganda\/\" target=\"_blank\" rel=\"noopener\">Pengantar Regresi Linier Berganda<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/variabel-tanggapan-penjelas\/\" target=\"_blank\" rel=\"noopener\">Pengenalan variabel penjelas dan respon<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dalam statistik, istilah y hat (ditulis \u0177 ) mengacu pada nilai taksiran suatu variabel respon dalam model regresi linier . Kami biasanya menulis persamaan regresi yang diperkirakan sebagai berikut: \u0177 = \u03b2 0 + \u03b2 1 x Emas: \u0177 : Nilai estimasi variabel respon \u03b2 0 : Nilai rata-rata variabel respon ketika variabel prediktor bernilai [&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>Apa itu Y Hat dalam statistik? - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini memberikan penjelasan tentang Y hat dalam statistika, beserta definisi formal dan 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\/topi-mu\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Apa itu Y Hat dalam statistik? - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini memberikan penjelasan tentang Y hat dalam statistika, beserta definisi formal dan contohnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/topi-mu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T05:55:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sommecarre1.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\/topi-mu\/\",\"url\":\"https:\/\/statorials.org\/id\/topi-mu\/\",\"name\":\"Apa itu Y Hat dalam statistik? - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T05:55:47+00:00\",\"dateModified\":\"2023-07-26T05:55:47+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini memberikan penjelasan tentang Y hat dalam statistika, beserta definisi formal dan contohnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/topi-mu\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/topi-mu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/topi-mu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Apa itu y hat dalam statistik?\"}]},{\"@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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