Venn: Journal of Sustainable Innovation on Education, Mathematics and Natural Sciences
Vol. 5 No. 4 (2026): MIPA dan dan Pendidikan lingkup MIPA

Analisis Pemilihan Model Tren Linear, Kuadratik, dan Kubik untuk Peramalan Jumlah Penduduk Miskin di Provinsi Sulawesi Tengah

Desak Made Ristia Kartika (Politeknik Negeri Balikpapan)
Sitti Masyitah Meliyana (Universitas Negeri Makassar)
Putu Kartika Dewi (Universitas Pendidikan Ganesha)



Article Info

Publish Date
22 Jun 2026

Abstract

Central Sulawesi experiences fluctuating poverty levels despite various government programs, making accurate forecasting essential for data-driven policies. This study aims to model and forecast the number of poor people in Central Sulawesi by comparing linear, non-linear quadratic, and non-linear cubic trend regression models based on data from Badan Pusat Statistik (BPS) 2002–2025. Initially, these three models were evaluated using the Ordinary Least Squares (OLS) method, where the quadratic and cubic models yielded relatively similar  values of 80.65% and 80.76%, respectively. However, rigorous diagnostic tests revealed that the residual independence assumption under OLS was severely violated across all models due to time-series dependencies. To resolve this issue, the Generalized Least Squares (GLS) method was employed to account for underlying autocorrelation structures. The linear GLS model (  = 552.6687 - 8.3413t) significantly outperformed both the quadratic and cubic GLS variants; it was the only model that fully satisfied the normality and autocorrelation-free (white noise) assumptions while maintaining a high predictive accuracy with a MAPE of 5.484%. Projections using this optimal linear model indicate a stable, continuous downward trend, predicting the poor population to decrease to 344.17 thousand in 2026 (t = 25) and eventually reach its lowest historical point of 227.41 thousand by 2040 (t = 39).

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Journal Info

Abbrev

venn

Publisher

Subject

Education Environmental Science Mathematics Physics Other

Description

Mathematics and Natural Sciences Education Learning Innovation Development of Mathematics and Natural Sciences Education Sciences Aplication of Mathematics and Natural Sciences Education Actuarial Technology Based of Learning Mathematics and Natural Sciences Study of Learning Mathematics and Natural ...