Keyword: «multivariate regression-correlation analysis»

The relevance of this study is due to the need to correct the education system as a whole, and this study is intended to contribute to this endeavor. Our goal is to create prerequisites for the growth of the quality of education and conditions for improving the efficiency of social and educational institutions. Our research focuses on methods, models and techniques used to describe and analyze the processes of monitoring students' performance. The effectiveness of socio-educational institutions can be assessed through the analysis of students' performance, as it is an important indicator of the quality of education. This indicator reflects the degree of acquiring knowledge and skills by students, which affects their future success both in studies and in professional activities. In order to achieve the set objectives, the study used the methods of forecasting, expert assessment and correlation-regression analysis. Initially, the literature sources on the subject of the study were analyzed. Then, statistical information was collected and analyzed in relation to a specific institution, which allowed us to identify the main patterns related to the dynamics of the process. Questionnaires and interviews with experts in the field of the study provided more detailed information about the factors affecting the effectiveness of the educational process. The construction of statistically justified mathematical models opened the possibility of forecasting changes in the studied indicators in future. The scientific novelty of this study lies in the complex analysis of the main indicators of the efficiency of social and educational institutions. The article substantiates the choice of the most important factors affecting the performance of students and founds a mathematical relationship between performance and the influence of these factors. The practical value of this study lies in the development of information-analytical system for monitoring the academic performance of students in the educational institution under consideration. The obtained scientifically substantiated results can be used to improve the work of the institution and improve the quality of education, as well as in the development of long-term strategies and planning of educational processes.