After having estimated a regression modelyi=i+2xi+ui, we wish to forecast the value ofygiven a new observationx. We can consider two types of...

After having estimated a regression model yi=βi+β2xi+ui, we wish to forecast the value of y∗ given a new observation x∗. We can consider two types of predictions: forecasting the conditional mean of y∗, or forecasting the actual value of y∗ What is true about the variances of these predictions?

A.Var[conditional mean] > Var[actual value].

B.Var[conditional mean] = Var[actual value].

C. Var[conditional mean] < Var[actual value].

D. Var[conditional mean] may be larger than Var[actual value] in some data sets and smaller in others.