Linear Modelinghard
0:00.0

In a simple linear regression Yi=β0+β1Xi+ϵiY_i = \beta_0 + \beta_1 X_i + \epsilon_i, suppose you scale the predictor by a factor k>0k > 0, such that Xi=kXiX_i^* = kX_i. How does the new least-squares slope estimator β^1\hat{\beta}_1^* compare to the original slope estimator β^1\hat{\beta}_1?