6. (20pts) Given the data below, and using MATLAB, Ꮖ 4.0 4.2 4.5 4.7 5.1 5.5 5.9 6.3 6.8 7.1 y 102.56 113.18 130.11 142.05 167.53 195.14 224.87 256.73 299.50 326.72 (a) construct the least squares polynomial of degree 1 and compute the error; (b) construct the least squares polynomial of degree 3 and compute the error; (c) construct the least squares approximation of the form y = bear and compute the error (hint: take logarithm on both sides). For each polynomial, provide its graph together with the data points from the table. Submit all your codes and results.