Jurnal Ilmiah Sains
Volume 23 Nomor 2, Oktober 2023

Application of Nonparametric Spline Regression and Fourier Series to Model Gross Regional Domestic Product in Indonesia

Marklif Esriy Mocodompis (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Sam Ratulangi University, Manado, Indonesia)
Deiby Tineke Salaki (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Sam Ratulangi University, Manado, Indonesia)
Djoni Hatidja (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Sam Ratulangi University, Manado, Indonesia)



Article Info

Publish Date
30 Oct 2023

Abstract

The purpose of this study was to model the Gross Regional Domestic Product (GRDP) in Indonesia using nonparametric spline regression and Fourier series. The data used includes the GRDP of 34 provinces in Indonesia, with predictor variables such as labor force participation rate, foreign direct investment, local revenue, minimum provincial wage, and human development index. In the nonparametric spline regression, the determination of the optimal knot points is performed with one to three knots, and the optimal knot points are obtained by minimizing the Generalized Cross Validation (GCV) value, resulting in three optimal knot points. In the nonparametric Fourier series regression, calculations are performed for one to three oscillation points, and the optimal oscillation points are obtained based on the minimum GCV value, resulting in three optimal oscillation points. Therefore, the best nonparametric spline regression model utilizes three knot points, while the Fourier series model utilizes three oscillation points for modeling the GRDP in Indonesia. Keywords: Fourier Series; nonparametric regression; oscillation point; spline

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Journal Info

Abbrev

JIS

Publisher

Subject

Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Mathematics Physics

Description

Jurnal Ilmiah Sains (Journal of Scientific Sciences) is the Journals Published by Faculty of Mathematics and Natural Sciences, Sam Ratulangi University. Jurnal Ilmiah Sains Published Twice a Year, i.e April and October. Jurnal Ilmiah Sains  welcomes full research articles in the area of ...