A.   Regress the response variable on the explanatory variable. What is the residual at the last point (5,0)?

B.   Regress the first four response variables on the first four explanatory variables. What is the studentized residual at the last point (5,0)?

C.   Explain intuitively why the residual is correlated with the response variable.

D.   Is the studentized residual correlated with the response variable? Why or why not?

Can anyone give me some guidance on answering letters C and D? Thanks!

[NEAS: If the response variable is large, it is likely to be greater than its expected value, so the residual is positive . . .]