Question 8: Given the (33,11) data points (071): (1:1): (27 3), (3, 3), (4,4), suppose we want to nd the least squares line p(:1:) 2 CO + 012: that best ts this data. (a) Write out the system of ve linear equations Mm) : Co + 01551 : 312- for i : 1,. . . ,5 that you would need to solve to nd the coefcients 00 and cl. (b) Set up the least squares system matrix VC 2 y, Where V is the 5 X 2 Vandermonde matrix7 c = [:0] , and y is the vector of y values from the data. 1 (C) Solve the least squares system VC 2 y using either QR factorization or the normal equations. ((1) Write out the least squares line p(a:) 2 co + 01$