Abstract
Regression analysis is a method of data analysis to describe the relationship between response variables and predictor variables. There are two approaches to estimating the regression function. They are parametric and nonparametric approaches. The parametric approach is used when the relationship between the predictor variables and the response variables are known or the shape of the regression curve is known. Meanwhile, the nonparametric approach is used when the form of the relationship between the response and predictor variables is unknown or no information about the form of the regression function. The aim of this study are to determine the best spline nonparametric regression model on data of quality of the product, price, and advertising on purchasing decisions of Yamaha motorcycle with optimal knots point and to compare it with the multiple regression linear based on the coefficient of determination (R2) and mean square error (MSE). Optimal knot points are defined by two point knots. The result of this analysis is that for this data multiple regression linear is better than the spline regression one.
Highlights
Analisis regresi merupakan metode analisis data yang menggambarkan hubungan antara variabel respons dan variabel prediktor (Hosmer dan Lemeshow [5])
Regression analysis is a method of data analysis to describe the relationship between response variables and predictor variables
it with the multiple regression linear based on the coefficient of determination
Summary
Analisis regresi merupakan metode analisis data yang menggambarkan hubungan antara variabel respons dan variabel prediktor (Hosmer dan Lemeshow [5]). Pendekatan parametrik yaitu pendekatan yang digunakan apabila bentuk hubungan antara variabel prediktor dan variabel respons diketahui atau bentuk dari kurva regresinya diasumsikan mengikuti pola tertentu. Data penelitian ini diambil dari penelitian yang dilakukan oleh Nugraha [6] untuk mengetahui faktor-faktor yang memengaruhi keputusan pembelian sepeda motor Yamaha pada Herpindo Jaya cabang Ngaliyan dengan menggunakan analisis regresi berganda dengan variabel respons yaitu keputusan pembelian ( ) dan variabel prediktor yaitu kualitas produk ( ), harga ( ), dan iklan ( ). Tujuan dari penelitian ini adalah menentukan model regresi spline terbaik pada data kualitas produk, harga, dan iklan terhadap keputusan pembelian sepeda motor Yamaha pada Herpindo Jaya cabang Ngaliyan lalu membandingkannya dengan analisis regresi linier berganda dengan kriteria koefisien determinasi (R2) yang terbesar dan mean square error (MSE) yang terkecil
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