5. The tted regression equation can be used for prediction. There are two types of prediction: i. The prediction of the value of the response variable Y which corresponds to any chosen value,:1:0, of the independent variable, or ii. The estimation of the mean response #0: when X = 1170 For the rst case, the predicted value go is %=&+@% For the second case, the mean response #0 is estimated by @=+$m Though the point estimate of pig is identical to the predicted response is), their calculated variance are different. Show that Varwo) = 0'2 + Varmo), where 02 = Var(a,;)