This tutorial demonstrates predicting first year college GPA using SAT scores in a multiple linear regression framework, highlighting the importance of model validation and statistical assumptions.
Multiple linear regression is a useful tool that has many applications. In this tutorial, we focus on multiple linear regression for prediction. The specific example implemented uses SAT sum scores and high school GPA to predict first year college GPA, a common procedure carried out by universities across the nation to aid in admissions decisions. This tutorial consists of two sections with the overall intention to help you 1) gain an understanding of the importance for evaluating linear regression assumptions and 2) see the potential for incorporating statistics and procedures commonly employed in the fields of machine learning and data science in the assessment and validation of psychological predictive models.
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Jon T. Butler (2025) studied this question.
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