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?

 

 

How did you come up with h5= 0.6?
I computed using the formula in page 245:
hi = 1/n + [(Xi-Xbar)^2/ summation from j=1 to n of(Xj - Xbar)^2]
shouldn't the answer for h5 = 1.2? However, if h5 = 1.2, I can't compute for sqrt(1-h5) since this will be a square root of a negative number. Please help.

for H5 this is my solution:
1/5 + (4/4) = 1.2 ???