工科高校数学学院大学生学业状况统计分析

Statistical Analysis of University Students' Grades in School of Mathematics

高考成绩作为衡量学生在高中阶段学习情况的一个重要指标.通过对合肥工业大学数学学院2006级毕业生的高考成绩与本科期间在校成绩进行统计分析研究,发现高考成绩对在校的各学期成绩有较大的相关性,但高考成绩对大学成绩的影响随着学期的后移而逐渐减弱,同时这种相关性因专业的不同而不同,进一步研究发现不同类型的课程成绩与高考成绩有着不同的相关性.在此基础上,建立了部分代表性课程与高考成绩、已学课程成绩之间的线性回归模型,并进行分析.

The score of College Entrance Examination is an important indicator gauging students＇ study in high school. In this paper, we make some statistical analysis for the score of College Entrance Examination and that of undergraduate courses of students who were enrolled in School of Mathematics in Hefei University of Technology in 2006. And we find that the score of College Entrance Examination and that of undergraduate are related greatly. Moreover, this impact becomes weaker over semester and varies from major to major. We also find that the scores of different kinds of courses have different correlation with the score of College Entrance Examination. The score of College Entrance Examination is relevant with that of general courses, less relevant with that of fundamental courses, followed by that of specialized courses. In addition, some linear regression models involved in the score of part of representative courses, that of College Entrance Examination and that of learned courses are constructed and analyzed in detail on the basis of correlation analysis.