基于多元线性回归模型的考试成绩评价与预测

吉林大学学报(信息科学版)

基于多元线性回归模型的考试成绩评价与预测

孙毅^1a, 刘仁云², 王松³, 冷晓冰², 臧雪柏^1b

1. 吉林大学 a. 数学学院; b. 计算机科学与技术学院, 长春 130012； 2. 长春师范学院数学学院, 长春 130032；3. 中国石油吉林石化公司信息管理部, 吉林吉林 132000

出版日期:2013-07-20 发布日期:2013-08-23
作者简介:臧雪柏(1963—), 女, 吉林省吉林市人, 吉林大学研究员, 主要从事计算智能研究, (Tel)86-13596081669(E-mail)xbzang@qq.com。
基金资助:
吉林省教育厅科学基金资助项目（2009605）

Evaluation and Calculation of Test Achievement Based on Multiple Linear Regression Analysis

SUN Yi^1a, LIU Ren-yun², WANG Song³, LENG Xiao-bing², ZANG Xue-bai^1b

1a. College of Mathematics; 1b. College of Computer Science and Technology, Jilin University, Changchun 130012, China;2. School of Mathematics, Changchun Normal University, Changchun 130032, China;3. Department of Information Management, Petro China Jilin Petrochemical Company, Jilin 132000, China

Online:2013-07-20 Published:2013-08-23

摘要/Abstract

摘要：

为增加教学环节考试成绩评价与预测的科学性, 根据多元线性统计分析中的多元线性回归分析方法, 对考试成绩指标进行量化, 建立了考试成绩评价与预测的回归模型。解析国家四级英语考试成绩与学生的期末考试成绩之间的联系, 建立了基于成绩评价的多元线性回归的数学模型, 并得到了回归系数的数值。通过对回归模型以及回归系数进行显著性检验, 证明了模型的合理性。结果表明, 利用该模型对数据进行合理的评价与预测, 并在充分的条件下, 根据学生的期末考试成绩能合理地预测出学生的英语四级考试成绩。

关键词: 多元线性回归, 显著性检验, 考试成绩

Abstract:

To enhance test achievement evaluation in learning and teaching, we have conducted multiple linear regression analysis in multiple linear statistical analysis. A regression model of test achievement evaluation was established after the index was quantitated. The relationship between national cet4 test scores and ordinary test of students was analysed. A mathematical model of multiple linear regression is established based on the performance evaluation, and the regression coefficient values are obtained. We checked the regression model and the coefficients. The results show that the model is suited for the case. The model can evaluate the given data, and can predict the students band 4 examination results according to student's final exam reasonably when some conditions are known.

Key words: multiple linear regression, significance test, test scores

中图分类号:

TP316

孙毅, 刘仁云, 王松, 冷晓冰, 臧雪柏. 基于多元线性回归模型的考试成绩评价与预测[J]. 吉林大学学报(信息科学版), 2013, 31(4): 404-408.

SUN Yi, LIU Ren-yun, WANG Song, LENG Xiao-bing, ZANG Xue. Evaluation and Calculation of Test Achievement Based on Multiple Linear Regression Analysis[J]. Journal of Jilin University(Information Science Ed, 2013, 31(4): 404-408.