Consider the model Yi = 0 +1Xi +ui . Use 1 = [P (Xi X )(Yi Y )]/[P (Xi X )2 ] to show that (a) 1 = [P (Xi X )Yi]/[P (Xi X )2] (b) R2 = SSE/SST = 2 1 P (Xi X )2/P (Yi Y )2 (c) R2 = r 2 yx = [Cov( X,Y )] 2 Var( X )Var( Y ) 2 1. (30 points) Consider the model Yi=0+1Xi+ui. Use ^1=[(XiX)(YiY)]/[(XiX)2] to show that (a) ^1=[(XiX)Yi]/[(XiX)2] (b) R2=SSE/SST=^12(XiX)2/(YiY)2 (c) R2=ryx2=Var(X)Var(Y)[Cov(X,Y)]2.