Suppose that, instead of fitting the regression model Yi = + Xi + ui by least squares, you instead fit the model Yi = + Zi + ui where Zi = 3 + 10Xi.

Suppose that, instead of fitting the regression model Yi = α + βXi + ui by least squares, you insteadfit the model Yi = γ + δZi + ui where Zi = 3 + 10Xi. How are the least squares estimators γ and δ forthis second model related to the corresponding LS estimators α and β of the first model? [Hint: figureout how Z, s^2Z, and sYZ are related to X, s^2X and sYX.]