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All Journal FIBONACCI: Jurnal Pendidikan Matematika dan Matematika
Na’imah Hijriati
Universitas Lambung Mangkurat, Indonesia
Education Mathematics

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PCA-Based Dimensionality Reduction and Logistic Regression Modeling of Students’ GPA Na’imah Hijriati; Rikha Syahda; Aprida Siska Lestia; Mochammad Idris; Muhammad Ali Rizqan; Abdul Rasyid Nasyar
FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Vol. 12 No. 1 (2026): FIBONACCI: Jurnal Pendidikan Matematika dan Matematika
Publisher : Fakultas Ilmu Pendidikan Universitas Muhammadiyah Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24853/fbc.12.1.99-112

Abstract

This study investigated the effects of socioeconomic, motivational, and psychological factors on students’ academic performance using dimensionality reduction and predictive modeling. Principal Component Analysis was applied to reduce 29 observed variables into latent components based on eigenvalues and explained variance criteria. Logistic regression was then used to model the probability of achieving a high Grade Point Average (GPA). The results showed that psychological components were the most significant predictors, with four out of five psychological components being statistically significant, while only one socioeconomic component was significant. The model demonstrated good fit with a Nagelkerke  of  and classification accuracy of . These findings indicated that psychological support played a dominant role in predicting academic performance, suggesting that interventions focusing on mental and emotional factors could improve students’ academic outcomes.
Co-Authors Abdul Rasyid Nasyar Aprida Siska Lestia Mochammad Idris Muhammad Ali Rizqan Rikha Syahda