This is a multiple linear regression problem.

Consider this dataset that consists of 5 data points (2:, 3;) which are listed in the rst two columns below. Y X U X\" U\" 2 2 1 1 1 1 1 l] 1 3 1 1 4 2 1 We are interested in properties of the optimal model point 15=1X+t3U 1.A First check that X and U are orthogonal. How is that perpendicularity test performed? 1.B Compute the dual vectors to X and U and confirm that they too are also orthogonal. 1.C Verify that the dual vectors satisfy X . X* = 1 U . U* = 1