Tutorial: Regression Analysis

Introduction to Regression Analysis

Overview: Regression analysis allows for the prediction of outcomes. Given two variables, we can predict a score on one (Y) from the other (X) if we know their linear relationship (i.e., the correlation between the variables).

Goals: This set of tutorials will help you understand the vocabulary, logic, and basic mathematics of regression and correlation. Special attention will be given to the relationship between plots and calculations, and the influence of extreme scores on correlation/regression.

What do I need to know? You should know how to interpret a scatter plot of X and Y scores. The Review of Prerequisites covers basic concepts that will help you with the modules.

What do I need? A calculator will be helpful. We recommend that you download a hard copy of each module that you use. A link for downloading is provided at the beginning of each module. Your instructor may provide a hard copy for you. Check with your instructor regarding what sections of the tutorial you should use if this is an assignment for you.

NOTES FOR FACULTY

Each module may be assigned individually. However, students should complete the modules in sequential order. Modules 1-3 are appropriate for introductory statistics courses while Module 4 (comparing ANOVA and regression) is appropriate for intermediate level courses.

Chris Aberson, who is the primary author of the regression modules, uses these tutorials extensively as laboratory assignments. He recommends assigning Modules 1-3, along with tutorial follow-up questions as a single, albeit somewhat lengthy, assignment and then assigning Module 4 as a separate assignment. You can download a copy of the Module 1-3 assignment here.

Module 3 is very short and can alternatively be used as an in-class demonstration.

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