Linear Modelingmedium
0:00.0

A researcher fits two multiple regression models to the same dataset:

Model 1: y^=50+4.0x1\hat{y} = 50 + 4.0 x_1 (with R2=0.60R^2 = 0.60)

Model 2: y^=50+2.8x1+3.2x2\hat{y} = 50 + 2.8 x_1 + 3.2 x_2 (with R2=0.68R^2 = 0.68)

The coefficient of x1x_1 changed from 4.0 to 2.8. Why?