@varunkd0307 can you answer below question as well?

Problem 3 (15 points) Least-squares polynomial approximation. In class we considered various least-squares prob- lems arising from modeling a desire dsignal as the impulse response of an LSI filter. There are, however, many different kinds of models each with a different application. In this prob- lem, we would like to model a desired signal x(n) using a pth order polynomial. Specifically, let y(n) = do + nai + naz + ... + nap. (5) Suppose you are given x(n) for n = 0, 1, 2, ..., N. Find an expression for the coefficients {ak)k=0 such that En o le(n)|2 is minimized. Write both linear equation (10 points) and matrix form (5 points). Summation trem don't just leave the expression. by Invertible ? Symmetric ? 7