基于因子分析和多元回归分析的大学生专业课成绩影响因素分析

Analysis of the Factors Influencing the Achievement of College Students’ Professional Courses Based on Factor Analysis and Multiple Regression Analysis

摘要: 通过大学生专业课成绩、相关基础课成绩、平时学习情况的相关分析得出：在所有可能影响大学生专业课成绩的因素中，是否有考研计划、课前预习情况、听课认真程度等七个因素与专业课成绩相关性较为显著的结论。为了减少存在多重共线性的变量并且不造成信息大量流失，我们对变量进行了因子分析，得到了因子分析模型与得分系数；最后通过多元线性回归进行建模，通过步进的方式筛选变量，最终筛选出五个解释变量，并得到线性回归方程：大学生专业课成绩 = 33.824 + 0.263基础课期末考试成绩 + 0.131听课认真程度 + 2.060考前两周学习时间 + 0.076课前预习情况 + 0.068作业认真完成情况，且这五个变量共同解释了因变量的59.9%。

Abstract: Through the correlation analysis of College Students’ professional course performance, related basic course performance and usual learning situation, it is concluded that among all the factors that may affect college students’ professional course performance, seven factors, such as whether there is a postgraduate entrance examination plan, the situation of preview before class, and the seriousness of attending class, are significantly correlated with the professional course performance. In order to reduce the multicollinearity of variables and not cause a lot of information loss, we make factor analysis on variables and get the factor analysis model and score coefficient; Finally, through multiple linear regression modeling and step-by-step selection of variables, five explanatory variables are finally selected, and the linear regression equation is obtained: College Students’ professional course score = 33.824 + 0.263 final examination score of basic courses + 0.131 listening seriousness + 2.060 learning time two weeks before examination + 0.076 preview before class + 0.068 homework conscientiousness. These five variables together accounted for 59.9% of the dependent variable.