1- Prove that the estimated regression coefficients for a linear regression with an intercept term are identical to those obtained for the same linear regression equation without an intercept term, but for which all variables are replaced by deviation from their mean values?
2- Suppose you are considering two normal populations with unknown means and respectively. Variances are known to be and respectively. Show how you would test the following hypothesis against the two-sided alternatives
H. : u1-u2=0