135 Interaction terms dummy x continuous mathematical derivation

This video formally derives the concept of dummy variable interaction with continuous variables in econometrics. It demonstrates how the interaction term, beta 3, quantifies the difference in slopes between two groups. The derivation shows that the slope of x on y is beta 1 for the baseline group (d=0) and beta 1 + beta 3 for the other group (d=1). Crucially, beta 3 represents the exact difference between these two slopes, highlighting that interaction terms create heterogeneous effects. The video also explores the effect of the dummy variable on y, revealing that this effect depends on the level of x, meaning the gap between groups is not constant. Visit AxiomTutoring.com and subscribe to @AxiomTutoringCourses.