¹Desy Nur Aini, ²I Gusti Ayu Made Srinadi, ³Desak Putu Eka Nilakusmawati

^1,2,3Mathematics Department, Udayana University, Badung, Bali, Indonesia

DOI : https://doi.org/10.47191/ijsshr/v6-i11-31

Google Scholar Download Pdf
ABSTRACT

Regression analysis is a statistical methodology that utilizes the relationship between two quantitative variables so that the response variable can be predicted. Multiresponse spline nonparametric regression is a regression model that has more than one correlated response variable where the regression function or curve is not assumed to form a certain pattern and is approximated by a spline function. Spline is a segmented polynomial model that able to handle increasing or decreasing data patterns with knot points indicating changes in data. The aim of this research is to obtain a multiresponse nonparametric spline regression model on the happiness index with the predictor variables used being literacy rate, open unemployment rate, population density, human development index, and unmet need for health services. The best model produced in this research is a linear spline model 1 knot points with a GCV values is 6,227930 and a coefficient of determination is 78,6021.

KEYWORDS:

Spline, Nonparametric, Multiresponse, Happiness Index

REFERENCES
BPS, "Indeks Kebahagiaan 2021," Badan Pusat Statistik RI, 2021.

B. Pamungkas, "Kebahagiaan Penduduk di Provinsi Jawa Barat," JISPO (Jurnal Ilmu Sosial dan Ilmu Politik), vol. 9, no. 1, pp. 188-197, 2019.

I. Putra, I. Srinadi and I. Sumarjaya, "Pemodelan Regresi Spline (Studi Kasus: Herpindo Jaya Cabang Ngaliyan)," E-Jurnal Matematika, vol. 4, no. 3, p. 110, 2015.

A. Rositawati and I. Budiantara, "Pemodelan Indeks Kebahagiaan Provinsi di Indonesia Menggunakan Regresi Nonparametrik Spline Truncated," Jurnal Sains dan Seni ITS, vol. 8, no. 2, 2020.

R. Salhuteru, "Estimasi Kurva Regresi Nonparametrik Spline Truncated Multirespon (Aplikasi Pada Kasus Nilai UNAS SMKN 3 Buduran Sidoarjo)," Master Thesis Institut Teknologi Sepuluh Nopember, 2015.

A. Tripena, "Analisis Regresi Spline Kuadratik," Prosiding Seminar Nasional Matematika dan Pendidikan Matematika, 2011.

K. A. F. Copeland, Applied Linear Statistical Models (5th ed.), 1997.

Y. Purwanti, "Pengaruh Faktor Pendidikan dan Ekonomi Pada Index Kebahagiaan di Indonesia," Transformatif, vol. 11, no. 1, pp. 1-13, 2022.

Volume 06 Issue 11 November 2023