a. Show that nn=1 ei when the ei's are the residuals from a simple linear regression. b.

Question:

a. Show that Σnn=1 ei when the ei's are the residuals from a simple linear regression.
b. Are the residuals from a simple linear regression independent of one another, positively correlated, or negatively correlated? Explain.
c. Show that Σnn=1xiei for the residuals from a simple linear regression.
d. Is it true that Σnn=1xiei? Give a proof or a counter example.