Question 8:

7 With b = (4,1,0,1) at the points x = (0,1,2,3), set up and solve the normal equation for the coefficients = (C,D) in the nearest line C + Dx. Start with the four equations Au = b that would be solvable if the points fell on a line. 8 In Problem 7, find the projection p = A. Check that those four values do lie on the line C + Dx. Compute the error e = b - p and verify that ATe = 0. 7 With b = (4,1,0,1) at the points x = (0,1,2,3), set up and solve the normal equation for the coefficients = (C,D) in the nearest line C + Dx. Start with the four equations Au = b that would be solvable if the points fell on a line. 8 In Problem 7, find the projection p = A. Check that those four values do lie on the line C + Dx. Compute the error e = b - p and verify that ATe = 0