Why might we want to do this? There's an ongoing debate in college and university admission offices (and in the courts) regarding what factors should be considered important in deciding which applicants to admit. An exampleĪs an example, suppose that we wanted to predict student success in college. Intuitively, this test determine whether the variance explained by the first \(p\) predictors above and beyond the $k-p$ predictors is significance or not. Multiple regression modelĪ general multiple linear regression model at the population level can be written as Psychologists may want to determine which personality dimensions best predicts social adjustment. For example, educational researchers might want to learn what the best predictors of success in college are. Multiple regression allows a researcher to ask (and hopefully answer) the general question "what is the best predictor of. ![]() ![]() In the social and natural sciences, multiple regression analysis is very widely used in research. Multiple regression analysis often focuses on understanding (1) how much variance in a DV a set of IVs explain and (2) the relative predictive importance of IVs in predicting a DV. The general purpose of multiple regression (the term was first used by Pearson, 1908), as a generalization of simple linear regression, is to learn about how several independent variables or predictors (IVs) together predict a dependent variable (DV).
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