Oleksandr Derevyanchuk; Serhiy Balovsyak; Zhengbing Hu; Yurii Ushenko; Nataliia Ridei; Hanna Kravchenko

Automating the Systems Analysis of Technical Students' Training Quality Using Correlation and Regression Methods

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Author(s)

Oleksandr Derevyanchuk ^1,* Serhiy Balovsyak ¹ Zhengbing Hu ² Yurii Ushenko ¹ Nataliia Ridei ³ Hanna Kravchenko ⁴

1. Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58012, Ukraine

2. School of Computer Science, Hubei University of Technology, Wuhan, China

3. Dragomanov Ukrainian State University, Kyiv, 01601, Ukraine

4. High State Educational Establishment «Chernivtsi transport college», Chernivtsi, 58000, Ukraine

* Corresponding author.

DOI: https://doi.org/10.5815/ijmecs.2026.03.04

Received: 2 Dec. 2025 / Revised: 20 Jan. 2026 / Accepted: 15 Mar. 2026 / Published: 8 Jun. 2026

Index Terms

Quality Systems Analysis, Correlation, Regression, Prediction of Educational Achievements, Technical Students, Information System, Software

Abstract

This paper presents an information system developed to automate the systems analysis of the quality of technical students’ training using correlation and regression methods. The article considers key problems of quality assessment and outlines the theoretical foundations of correlation and regression analysis in the context of educational data. The structure and algorithm of an information system designed for automated analysis of educational datasets are presented. The system allows to determine pairs of courses for which prediction of grades by means of regression analysis is performed with minimal error. In this study, grades from courses for the previous period were considered as known parameters x, and grades from courses for the next period were considered as predicted results y. The correlation analysis of educational data involved calculating the Pearson correlation coefficient Corr, which quantitatively describes the linear relationship between two parameters, x and y, in the educational dataset. The correlation coefficient Corr allows for a targeted investigation of relationships with high Corr values. The regression analysis of the data involved constructing a regression equation approximated by a polynomial of degree p to establish the relationship between the x and y parameters of the educational dataset. The accuracy of the approximation was evaluated using the root mean square error (Rmse) for the training set and RmseV for the validation set. The automatic selection of the polynomial degree pA, was performed according to the criterion of minimizing the approximation error RmseV on the validation dataset, while also ensuring the monotonicity of the regression equation. Developed in Python, the software performs correlation and regression analysis, prediction, outlier detection, and result visualization. This approach was applied to analyze the semester grades of students in the 'Computer Science' program, covering 12 courses over the first four semesters. Using the constructed regression equations, were forecasted students’ grades in six courses for the 3rd and 4th semesters based on their performance in the same courses during the 1st and 2nd semesters. The developed regression model also allows for evaluating students’ academic achievements through the outlier detection. The proposed correlation and regression analysis models are highly scalable, enabling the processing of educational data for large size. Integrating correlation and regression methods into the systems analysis of technical education quality allows for automated analysis of educational monitoring data, forecasting of student performance, outlier detection, and the recommendation of elective courses to optimize students’ educational trajectories.

Cite This Paper

Oleksandr Derevyanchuk, Serhiy Balovsyak, Zhengbing Hu, Yurii Ushenko, Nataliia Ridei, Hanna Kravchenko, " Automating the Systems Analysis of Technical Students' Training Quality Using Correlation and Regression Methods", International Journal of Modern Education and Computer Science(IJMECS), Vol.18, No.3, pp. 58-73, 2026. DOI:10.5815/ijmecs.2026.03.04

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