A Demo of Hierarchical, Moderated, Multiple Regression Analysis in R

Moderator models are often used to examine when an independent variable influences a dependent variable. More specifically, moderators are used to identify factors that change the relationship between independent (X) and dependent (Y) variables. In this article, I explain how moderation in regression works, and then demonstrate how to do a hierarchical, moderated, multiple regression analysis in R. Hierarchical, moderated, multiple regression analysis in R can get pretty complicated so let's start at the very beginning. Y is the dependent variable whereas the variable X is independent i.e. the regression model tries to explain the causality between the two variables. The above equation has a single independent variable.