A Mathematical Modeling Study to Predict Student Expenditures At Debsirin Samutprakan School Bank.

Abstract

This experimental research aimed to study the mathematical relationship of student expenses among those who deposit money with the school bank, and to develop predictive models for student savings behavior. The study analyzed data to construct mathematical models using secondary data collected from the educational institution's database. Data were gathered from 2,760 records between 2022 and 2024. A total of 69 data sets were randomly selected by choosing one set out of every 40 entries. All data were processed using SPSS software for analysis and mathematical model construction. Hypothesis testing and multiple regression analysis were employed, specifically using the Stepwise Regression method, and model selection was based on the R-squared value. The research was conducted between September and October 2024.The variables in this study included demographic factors age and gender and environmental factors such as needs related to personal interests, educational needs, and basic needs (the four necessities of life). These needs were rated on a scale from 0 to 5, ranging from no interest to full interest. The findings revealed that 44.93% of the sample were male and 55.07% were female. The majority, or 84.06%, were aged 15 and above. Among demographic factors, only age had a statistically significant effect on students’ saving expenses, while gender did not influence any of the models. Regarding savings motivated by personal interests, a relatively high correlation was observed. The mathematical models produced from the analysis showed low accuracy when applied to savings for basic necessities. However, when analyzed within specific savings categories, the model accuracy improved significantly. Some models did not include all variables due to high multicollinearity among certain independent variables. A total of eight mathematical models were developed from the study.