Question 6: 19 Marks Given the data 0.2 0.050446 0.3 0.098426 0.6 0.33277 0.9 0.72660 1.1 1.0972 1.3 1.5697 1.4 1.8487 1.6 2.5015 (6.1) Construct the least squares approximation polynomial of degree three and comput te 4) (6.2) Construct the least squares approximation of the form bex and compute the error. (4) (6.3) Construct the least squares approximation of the form bxa and compute the error (4) (6.4) Draw the graph of the data points and the approximations in (6.1), (6.2) and (6.3). (7) error Question 6: 19 Marks Given the data 0.2 0.050446 0.3 0.098426 0.6 0.33277 0.9 0.72660 1.1 1.0972 1.3 1.5697 1.4 1.8487 1.6 2.5015 (6.1) Construct the least squares approximation polynomial of degree three and comput te 4) (6.2) Construct the least squares approximation of the form bex and compute the error. (4) (6.3) Construct the least squares approximation of the form bxa and compute the error (4) (6.4) Draw the graph of the data points and the approximations in (6.1), (6.2) and (6.3). (7) error