{"id":1446,"date":"2023-07-26T08:50:26","date_gmt":"2023-07-26T08:50:26","guid":{"rendered":"https:\/\/statorials.org\/id\/regresi-eksponensial-di-r\/"},"modified":"2023-07-26T08:50:26","modified_gmt":"2023-07-26T08:50:26","slug":"regresi-eksponensial-di-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/regresi-eksponensial-di-r\/","title":{"rendered":"Regresi eksponensial di r (langkah demi langkah)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Regresi eksponensial<\/strong> adalah jenis regresi yang dapat digunakan untuk memodelkan situasi berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Pertumbuhan Eksponensial:<\/strong> Pertumbuhan dimulai secara perlahan dan kemudian meningkat dengan cepat dan tanpa batas.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14288 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/expregexcel1.png\" alt=\"\" width=\"329\" height=\"244\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Peluruhan eksponensial:<\/strong> Peluruhan dimulai dengan cepat dan kemudian melambat hingga mendekati nol.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14289 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/expregexcel2.png\" alt=\"\" width=\"332\" height=\"251\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Persamaan model regresi eksponensial berbentuk sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">kamu = <sup>abx<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y :<\/strong> variabel respon<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> variabel prediktif<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>a, b:<\/strong> koefisien regresi yang menggambarkan hubungan antara <em>x<\/em> dan <em>y<\/em><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Contoh langkah demi langkah berikut menunjukkan cara melakukan regresi eksponensial 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 buat data palsu untuk dua variabel: <em>x<\/em> dan <em>y<\/em> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>x=1:20\ny=c(1, 3, 5, 7, 9, 12, 15, 19, 23, 28, 33, 38, 44, 50, 56, 64, 73, 84, 97, 113)\n<\/strong><\/pre>\n<h3> <strong>Langkah 2: Visualisasikan datanya<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Berikutnya, mari buat diagram sebar singkat untuk memvisualisasikan hubungan antara <em>x<\/em> dan <em>y<\/em> :<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>plot(x, y)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14298\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/expregr1.png\" alt=\"Contoh regresi eksponensial di R\" width=\"419\" height=\"376\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Dari grafik terlihat terdapat pola pertumbuhan eksponensial yang jelas antara kedua variabel.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Oleh karena itu, tampaknya bijaksana untuk menggunakan persamaan regresi eksponensial untuk menggambarkan hubungan antar variabel.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Langkah 3: Sesuaikan model regresi eksponensial<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Selanjutnya, kita akan menggunakan fungsi <strong>lm()<\/strong> untuk menyesuaikan model regresi eksponensial, menggunakan logaritma natural <em>y<\/em> sebagai <a href=\"https:\/\/statorials.org\/id\/variabel-tanggapan-penjelas\/\" target=\"_blank\" rel=\"noopener\">variabel respon<\/a> dan <em>x<\/em> sebagai variabel prediktor:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit the model<\/span>\nmodel &lt;- lm( <span style=\"color: #3366ff;\">log<\/span> (y) ~ x)<\/strong>\n<strong>\n<span style=\"color: #008080;\">#view the output of the model<\/span>\nsummary(model)\n\nCall:\nlm(formula = log(y) ~ x)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-1.1858 -0.1768 0.1104 0.2720 0.3300 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 0.98166 0.17118 5.735 1.95e-05 ***\nx 0.20410 0.01429 14.283 2.92e-11 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 0.3685 on 18 degrees of freedom\nMultiple R-squared: 0.9189, Adjusted R-squared: 0.9144 \nF-statistic: 204 on 1 and 18 DF, p-value: 2.917e-11<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/panduan-sederhana-untuk-memahami-uji-f-untuk-signifikansi-keseluruhan-dalam-regresi\/\" target=\"_blank\" rel=\"noopener\">Nilai F keseluruhan<\/a> model adalah 204 dan nilai p yang sesuai sangat rendah (2,917e-11), menunjukkan bahwa model secara keseluruhan berguna.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dengan menggunakan koefisien dari tabel keluaran, kita dapat melihat bahwa persamaan regresi eksponensial yang sesuai adalah:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>ln(y) = 0,9817 + 0,2041(x)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Menerapkan <em>e<\/em> pada kedua ruas, kita dapat menulis ulang persamaannya sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>kamu = 2,6689 * <sup>1,2264x<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan persamaan ini untuk memprediksi variabel respon <em>y<\/em> berdasarkan nilai variabel prediktor <em>x<\/em> .<\/span> <span style=\"color: #000000;\">Misalnya, jika <em>x<\/em> = 12, maka kita prediksi <em>y<\/em> adalah <strong>30.897<\/strong> :<\/span><\/p>\n<p> <span style=\"color: #000000;\">kamu = 2,6689 * 1,2264 <sup>12<\/sup> = 30,897<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Bonus:<\/strong> Jangan ragu untuk menggunakan kalkulator regresi eksponensial online ini untuk secara otomatis menghitung persamaan regresi eksponensial untuk variabel prediktor dan respons tertentu.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/regresi-linier-sederhana-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara melakukan regresi linier sederhana di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/regresi-linier-berganda-r\/\" target=\"_blank\" rel=\"noopener\">Cara melakukan regresi linier berganda di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/regresi-kuadrat-r\/\" target=\"_blank\" rel=\"noopener\">Bagaimana melakukan regresi kuadrat di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/regresi-polinomial-r\/\" target=\"_blank\" rel=\"noopener\">Bagaimana melakukan regresi polinomial di R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Regresi eksponensial adalah jenis regresi yang dapat digunakan untuk memodelkan situasi berikut: 1. Pertumbuhan Eksponensial: Pertumbuhan dimulai secara perlahan dan kemudian meningkat dengan cepat dan tanpa batas. 2. Peluruhan eksponensial: Peluruhan dimulai dengan cepat dan kemudian melambat hingga mendekati nol. Persamaan model regresi eksponensial berbentuk sebagai berikut: kamu = abx Emas: y : variabel respon [&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 Eksponensial di R (Langkah demi Langkah) - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara melakukan regresi eksponensial di R, termasuk 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-eksponensial-di-r\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regresi Eksponensial di R (Langkah demi Langkah) - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara melakukan regresi eksponensial di R, termasuk contoh langkah demi langkah.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/regresi-eksponensial-di-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T08:50:26+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/expregexcel1.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=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/regresi-eksponensial-di-r\/\",\"url\":\"https:\/\/statorials.org\/id\/regresi-eksponensial-di-r\/\",\"name\":\"Regresi Eksponensial di R (Langkah demi Langkah) - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T08:50:26+00:00\",\"dateModified\":\"2023-07-26T08:50:26+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara melakukan regresi eksponensial di R, termasuk contoh langkah demi langkah.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/regresi-eksponensial-di-r\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/regresi-eksponensial-di-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/regresi-eksponensial-di-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Regresi eksponensial di r (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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