{"id":1582,"date":"2023-07-25T18:58:24","date_gmt":"2023-07-25T18:58:24","guid":{"rendered":"https:\/\/statorials.org\/id\/kesalahan-standar-estimasi\/"},"modified":"2023-07-25T18:58:24","modified_gmt":"2023-07-25T18:58:24","slug":"kesalahan-standar-estimasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/kesalahan-standar-estimasi\/","title":{"rendered":"Berapa kesalahan standar estimasinya? (definisi &amp; #038; contoh)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Kesalahan standar estimasi<\/strong> adalah cara untuk mengukur keakuratan prediksi yang dibuat oleh model regresi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sering dicatat \u03c3 <sub>est<\/sub> , dihitung sebagai berikut:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">\u03c3 <sub>adalah<\/sub> = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(y \u2013 \u0177) <sup>2<\/sup> \/n<\/span><\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y :<\/strong> Nilai yang diamati<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0177 :<\/strong> Nilai prediksi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n :<\/strong> Jumlah total observasi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kesalahan standar estimasi memberi kita gambaran tentang seberapa cocok model regresi dengan kumpulan data. Khususnya:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Semakin kecil nilainya maka semakin baik kesesuaiannya.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Semakin besar nilainya maka semakin buruk kecocokannya.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Untuk model regresi dengan kesalahan standar estimasi yang kecil, titik data akan dikelompokkan secara ketat di sekitar garis regresi estimasi:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15730 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate1.png\" alt=\"\" width=\"431\" height=\"322\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Sebaliknya, untuk model regresi dengan kesalahan standar estimasi yang besar, titik-titik data akan tersebar lebih longgar di sekitar garis regresi:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15731 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate2.png\" alt=\"\" width=\"445\" height=\"325\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut memperlihatkan cara menghitung dan menafsirkan kesalahan standar estimasi model regresi di Excel.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: kesalahan standar estimasi di Excel<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Gunakan langkah-langkah berikut untuk menghitung kesalahan standar estimasi model regresi di Excel.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Langkah 1: Masukkan datanya<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Pertama, masukkan nilai kumpulan data:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15732 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate3.png\" alt=\"\" width=\"399\" height=\"456\" srcset=\"\" sizes=\"\"><\/p>\n<p> <strong><span style=\"color: #000000;\">Langkah 2: Lakukan Regresi Linier<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Selanjutnya, klik tab <strong>Data<\/strong> di sepanjang pita atas. Kemudian klik opsi <strong>Analisis Data<\/strong> di grup <strong>Analisis<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-5292 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel3.png\" alt=\"\" width=\"443\" height=\"169\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Jika Anda tidak melihat opsi ini, Anda harus <a href=\"https:\/\/statorials.org\/id\/cara-memuat-toolpak-analisis-di-excel\/\" target=\"_blank\" rel=\"noopener\">memuat Analysis ToolPak<\/a> terlebih dahulu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Di jendela baru yang muncul, klik <strong>Regresi<\/strong> lalu klik <strong>OK<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15733 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regressionpak.png\" alt=\"\" width=\"415\" height=\"229\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Di jendela baru yang muncul, berikan informasi berikut:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15734 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate4-1.png\" alt=\"\" width=\"527\" height=\"455\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Setelah Anda klik <strong>OK<\/strong> , maka akan muncul hasil regresi:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15735 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate5.png\" alt=\"\" width=\"510\" height=\"431\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan koefisien dari tabel regresi untuk menyusun estimasi persamaan regresi:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0177 = 13,367 + 1,693(x)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Dan kita dapat melihat bahwa kesalahan standar estimasi model regresi ini adalah <strong>6,006<\/strong> . Secara sederhana, hal ini menunjukkan bahwa titik data rata-rata berjarak <strong>6,006<\/strong> unit dari garis regresi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan persamaan regresi estimasi dan kesalahan standar estimasi untuk membangun interval kepercayaan 95% untuk nilai prediksi titik data tertentu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, x sama dengan 10. Dengan menggunakan persamaan regresi estimasi, kita memperkirakan bahwa y akan sama dengan:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0177 = 13,367 + 1,693*(10) = 30,297<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dan kita bisa mendapatkan interval kepercayaan 95% untuk estimasi ini dengan menggunakan rumus berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">95% CI = [\u0177 \u2013 1,96*\u03c3 <sub>adalah<\/sub> , \u0177 + 1,96*\u03c3 <sub>adalah<\/sub> ]<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Sebagai contoh, interval kepercayaan 95% akan dihitung sebagai:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">95% CI = [\u0177 \u2013 1,96*\u03c3 <sub>adalah<\/sub> , \u0177 + 1,96*\u03c3 <sub>adalah<\/sub> ]<\/span><\/li>\n<li> <span style=\"color: #000000;\">CI 95% = [30,297 \u2013 1,96*6,006, 30,297 + 1,96*6,006]<\/span><\/li>\n<li> <span style=\"color: #000000;\">CI 95% = [18.525, 42.069]<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/excel-regresi-linier-sederhana\/\" target=\"_blank\" rel=\"noopener\">Cara melakukan regresi linier sederhana di Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/excel-regresi-linier-berganda\/\" target=\"_blank\" rel=\"noopener\">Cara Melakukan Regresi Linier Berganda di Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/cara-membuat-sisa-jejak-di-excel\/\" target=\"_blank\" rel=\"noopener\">Cara Membuat Plot Sisa di Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kesalahan standar estimasi adalah cara untuk mengukur keakuratan prediksi yang dibuat oleh model regresi. Sering dicatat \u03c3 est , dihitung sebagai berikut: \u03c3 adalah = \u221a \u03a3(y \u2013 \u0177) 2 \/n Emas: y : Nilai yang diamati \u0177 : Nilai prediksi n : Jumlah total observasi Kesalahan standar estimasi memberi kita gambaran tentang seberapa cocok [&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>Berapa kesalahan standar estimasinya? 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