3. (20 points) Suppose that we have the data x y 2 0 1 0 0 1 1 1 2 3 Fit a parabola to the data using the model Y = 30 + [3136 + 132952 + E. The X matrix for this question (Note x0 x x2 1 2 4 that x1 = x, x2 = x2, and k = 2 in the notation ofthe general linear model) is given by X = i _01 (1) 1 1 1 ll 2 4J 5 0 10 (a) {5 points) Show the matrix X'X is (X'X) = 0 10 0 ]. 10 0 34 5 (b) (5 points) Show that (X'Y) = 7 . 13 17/35 0 1/7 (c) (10 points} The inverse matrix is given by (X'X)'1 = [ 0 1/10 0 ]. Find ii, the vector of 1/7 0 1/14 estimate coefficient