The goal of this problem is to fit a quadratic function of the form f(x) = c1 + c2x2 to the data points (-2, -19), (-1, -2), (0, 1), (2, -11), using least squares. (a) The problem is equivalent to finding the least squares solution to the system Xc = y where X = y = and c = [c1, C2]T (b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a) C1 = C2 =2 Let y = -2 and u = 1 1 (a) Find the orthogonal projection of y onto u. projuy = (b) Compute the distance d from y to the line through u and the origin. d =