Sum of the residuals in multiple linear regression

kingwinner

In my textbook, the following results are proved in the context of SIMPLE linear regression:
∑e_i = 0
∑(e_i)(Y_i hat)= 0

I tried to modify the proofs to mutliple linear regression, but I am unable to do so, so I am puzzled...

Are these results also true in MULTIPLE linear regression?

Thanks!

statdad

They are true as long as you include an intercept - they aren't for regression through the origin.

Are you using a matrix approach in your multiple regression?