{"id":784,"date":"2023-07-28T18:44:38","date_gmt":"2023-07-28T18:44:38","guid":{"rendered":"https:\/\/statorials.org\/id\/regresi-kuadrat-r\/"},"modified":"2023-07-28T18:44:38","modified_gmt":"2023-07-28T18:44:38","slug":"regresi-kuadrat-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/regresi-kuadrat-r\/","title":{"rendered":"Bagaimana melakukan regresi kuadrat di r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Ketika dua variabel memiliki hubungan linier, kita sering kali dapat menggunakan <a href=\"https:\/\/statorials.org\/id\/regresi-linier-sederhana-di-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">regresi linier sederhana<\/a> untuk mengukur hubungan keduanya.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5772 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata1.png\" sizes=\"\" srcset=\"\" alt=\"Contoh hubungan linier\" width=\"442\" height=\"318\"><\/p>\n<p> <span style=\"color: #000000;\">Namun, jika dua variabel mempunyai hubungan kuadrat, kita dapat menggunakan <strong>regresi kuadrat<\/strong> untuk mengukur hubungannya.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5773 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata2.png\" sizes=\"\" srcset=\"\" alt=\"Contoh hubungan kuadrat\" width=\"441\" height=\"319\"><\/p>\n<p> <span style=\"color: #000000;\">Tutorial ini menjelaskan cara melakukan regresi kuadrat di R.<\/span><\/p>\n<h3> <strong>Contoh: regresi kuadratik di R<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita ingin memahami hubungan antara jumlah jam kerja dan kebahagiaan yang dilaporkan. Kami memiliki data berikut mengenai jumlah jam kerja per minggu dan tingkat kebahagiaan yang dilaporkan (dalam skala 0 hingga 100) untuk 11 orang berbeda:<\/span> <\/p>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6954 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti1.png\" sizes=\"\" srcset=\"\" alt=\"\" width=\"150\" height=\"248\"><\/p>\n<p> <span style=\"color: #000000;\">Gunakan langkah-langkah berikut untuk menyesuaikan model regresi kuadrat di R.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1: Masukkan datanya.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Pertama, kita akan membuat bingkai data yang berisi data kita:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#createdata<\/span>\ndata &lt;- data.frame(hours=c(6, 9, 12, 14, 30, 35, 40, 47, 51, 55, 60),\n                   happiness=c(14, 28, 50, 70, 89, 94, 90, 75, 59, 44, 27))\n<span style=\"color: #008080;\">\n#viewdata<\/span> \ndata\n\n   hours happiness\n1 6 14\n2 9 28\n3 12 50\n4 14 70\n5 30 89\n6 35 94\n7 40 90\n8 47 75\n9 51 59\n10 55 44\n11 60 27\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2: Visualisasikan datanya.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Selanjutnya kita akan membuat scatterplot sederhana untuk memvisualisasikan data.<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create scatterplot<\/span>\nplot(data$hours, data$happiness, pch=16)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8616 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadratiquer1.png\" alt=\"Plot sebar di R\" width=\"370\" height=\"336\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat melihat dengan jelas bahwa data tidak mengikuti pola linier.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3: Sesuaikan model regresi linier sederhana.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Selanjutnya, kita akan menyesuaikan model regresi linier sederhana untuk melihat seberapa cocok model tersebut dengan data:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit linear model<\/span>\nlinearModel &lt;- lm(happiness ~ hours, data=data)\n\n<span style=\"color: #008080;\">#view model summary<\/span>\nsummary(linearModel)\n\nCall:\nlm(formula = happiness ~ hours)\n\nResiduals:\n   Min 1Q Median 3Q Max \n-39.34 -21.99 -2.03 23.50 35.11 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)  \n(Intercept) 48.4531 17.3288 2.796 0.0208 *\nhours 0.2981 0.4599 0.648 0.5331  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 28.72 on 9 degrees of freedom\nMultiple R-squared: 0.0446, Adjusted R-squared: -0.06156 \nF-statistic: 0.4201 on 1 and 9 DF, p-value: 0.5331\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Total varians kebahagiaan yang dijelaskan oleh model hanya sebesar <strong>4,46%<\/strong> yang ditunjukkan oleh nilai multiple R-squared.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 4: Sesuaikan model regresi kuadrat.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Selanjutnya, kita akan menyesuaikan model regresi kuadratik.<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create a new variable for hours <sup>2<\/sup><\/span>\ndata$hours2 &lt;- data$hours^2\n\n<span style=\"color: #008080;\">#fit quadratic regression model<\/span>\nquadraticModel &lt;- lm(happiness ~ hours + hours2, data=data)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(quadraticModel)\n\nCall:\nlm(formula = happiness ~ hours + hours2, data = data)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-6.2484 -3.7429 -0.1812 1.1464 13.6678 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) -18.25364 6.18507 -2.951 0.0184 *  \nhours 6.74436 0.48551 13.891 6.98e-07 ***\nhours2 -0.10120 0.00746 -13.565 8.38e-07 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 6.218 on 8 degrees of freedom\nMultiple R-squared: 0.9602, Adjusted R-squared: 0.9502 \nF-statistic: 96.49 on 2 and 8 DF, p-value: 2.51e-06\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Total varian kebahagiaan yang dijelaskan oleh model meningkat menjadi <b>96,02%<\/b> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan kode berikut untuk memvisualisasikan seberapa cocok model dengan data:<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create sequence of hour values<\/span>\nhourValues &lt;- seq(0, 60, 0.1)\n\n<span style=\"color: #008080;\">#create list of predicted happiness levels using quadratic model\n<\/span>happinessPredict &lt;- predict(quadraticModel, list(hours=hourValues, hours2=hourValues^2))\n\n<span style=\"color: #008080;\">#create scatterplot of original data values\n<\/span>plot(data$hours, data$happiness, pch=16)\n<span style=\"color: #008080;\">#add predicted lines based on quadratic regression model<\/span>\nlines(hourValues, happinessPredict, col='blue')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8619 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadratiquer2.png\" alt=\"Plot Regresi Kuadrat di R\" width=\"399\" height=\"368\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat melihat bahwa garis regresi kuadrat cukup sesuai dengan nilai data.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 5: Tafsirkan model regresi kuadratik.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Pada langkah sebelumnya kita melihat bahwa hasil model regresi kuadrat adalah:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>Coefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) -18.25364 6.18507 -2.951 0.0184 *  \nhours 6.74436 0.48551 13.891 6.98e-07 ***\nhours2 -0.10120 0.00746 -13.565 8.38e-07 ***\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Berdasarkan koefisien yang disajikan di sini, regresi kuadrat yang disesuaikan adalah:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Kebahagiaan = -0,1012 (jam) <sup>2<\/sup> + 6,7444 (jam) \u2013 18,2536<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan persamaan ini untuk mengetahui prediksi kebahagiaan seseorang, berdasarkan jumlah jam kerja mereka per minggu.<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Misalnya seseorang yang bekerja 60 jam per minggu akan memiliki tingkat kebahagiaan <strong>22,09<\/strong> :<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Kebahagiaan = -0,1012(60) <sup>2<\/sup> + 6,7444(60) \u2013 18,2536 = 22,09<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sebaliknya, seseorang yang bekerja 30 jam per minggu seharusnya memiliki tingkat kebahagiaan <strong>92,99<\/strong> :<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kebahagiaan = -0,1012(30) <sup>2<\/sup> + 6,7444(30) \u2013 18,2536 = 92,99<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ketika dua variabel memiliki hubungan linier, kita sering kali dapat menggunakan regresi linier sederhana untuk mengukur hubungan keduanya. Namun, jika dua variabel mempunyai hubungan kuadrat, kita dapat menggunakan regresi kuadrat untuk mengukur hubungannya. Tutorial ini menjelaskan cara melakukan regresi kuadrat di R. Contoh: regresi kuadratik di R Misalkan kita ingin memahami hubungan antara jumlah jam [&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 melakukan regresi kuadrat di R - Statorials<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana tentang cara melakukan regresi kuadrat 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-kuadrat-r\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara melakukan regresi kuadrat di R - Statorials\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana tentang cara melakukan regresi kuadrat di R, termasuk contoh langkah demi langkah.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/regresi-kuadrat-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T18:44:38+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata1.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=\"3 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/regresi-kuadrat-r\/\",\"url\":\"https:\/\/statorials.org\/id\/regresi-kuadrat-r\/\",\"name\":\"Cara melakukan regresi kuadrat di R - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-28T18:44:38+00:00\",\"dateModified\":\"2023-07-28T18:44:38+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana tentang cara melakukan regresi kuadrat di R, termasuk contoh langkah demi langkah.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/regresi-kuadrat-r\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/regresi-kuadrat-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/regresi-kuadrat-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bagaimana melakukan regresi kuadrat 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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