Mandalika Mathematics and Educations Journal
Vol 8 No 2 (2026): Edisi Juni

Implementasi Metode Bisection dalam Menentukan Nilai Ambang Target Penurunan Tingkat Kemiskinan di Provinsi Jawa Tengah Tahun 2025

Istnaniah Hani Salami (UIN Raden Mas Said Surakarta)
Dimas Maulidani (Unknown)
Ari Wibowo (Unknown)



Article Info

Publish Date
30 Jun 2026

Abstract

Poverty remains a central issue in Indonesia’s development planning, particularly in Central Java Province, where poverty rates consistently exceed the national average. The Human Development Index (HDI) serves as a composite indicator reflecting quality of life through education, health, and living standards. This study aims to determine the minimum HDI thresholds required for regencies/cities in Central Java to achieve targeted poverty rates (8%, 9%, 10%, and 11%) by integrating simple linear regression with the bisection method. The data consist of HDI values for 2024 and poverty rates for 2025 across 35 regencies/cities, obtained from the Central Statistics Agency (BPS). The regression model produced the equation K(x) = 47.6038 − 0.5170x with a coefficient of determination (R²) of 0.64, indicating that HDI explains 64% of poverty variation. The bisection method converged in 23 iterations with a final error of 0.000004. The resulting HDI thresholds range from 70.80 to 76.60 depending on the target. These findings provide a quantitative basis for policymakers to design more effective and evidence-based poverty reduction strategies.

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Journal Info

Abbrev

MANDALIKA

Publisher

Subject

Mathematics

Description

Mandalika Mathematics and Education Journal adalah Jurnal Matematika dan Pendidikan Matematika yang dikelola oleh Program Studi S1 Pendidikan Matematika FKIP Universitas Mataram. Fokus dan ruang lingkup dari jurnal ini adalah artikel ilmiah baik berupa hasil penelitian, review artikel maupun kajian ...