= 1 Question # 31: Consider a set of four data points: f(0) = 3, f (2) = 2, f(-1) = 2 and = f(1) = 1 Find the best fit polynomial of degree two, p2 (x) for the above data points using least- squares method by answering the following: 1 1. (2 Marks) Write down the matrices, Aand b, from the above data. 2. (3 Marks) Compute the normal matrix AT A and ATb. T 3. (5 Marks) Use the results in the previous part to compute the column matrix x = (ao aj az)? where ao, ay and a2 are the coefficients of the polynomial P2, and then write the expression of the polynomial P2