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22 April 2022 Regression analysis of correlation between learning time and academic performance
Xuan Su
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Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121630C (2022) https://doi.org/10.1117/12.2628198
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China
Abstract
If students get high grades, they can apply for better schools or find better jobs. Therefore, it is important to explore which factors can affect their academic performance. Our intuition and experience tell us that learning time should be positively correlated with achievement. Therefore, the purpose of this study is to find the correlation between learning time and academic performance. We choose to learn time as the independent variable and final score as the dependent variable. This study mainly uses the simple linear regression model, a mathematical regression model, to determine the correlation between variables. We use Rstudio to make this model compute the least-squares parameter β0, β1 and get the fitted line. Finally, several methods, including histogram of residuals, normal Q-Q plot and plot of residuals vs. fitted values, are used to assess whether the fitted model is accurate. The conclusion is that there is a slight negative relationship between learning time and final scores. Besides, the simple linear regression model is appropriate. Therefore, the data collected in this study do not support additional learning time to improve test scores.
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Xuan Su "Regression analysis of correlation between learning time and academic performance", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121630C (22 April 2022); https://doi.org/10.1117/12.2628198
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KEYWORDS
Statistical analysis
Mathematical modeling
Statistical modeling
Data modeling
Applied mathematics
Factor analysis
Statistical methods
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