Consider the problem of fitting a polynomial of degree 5 to a dataset (@, y) that has 13 row entries. For simplicity assume that x = -6, -5, . . . - 1, 0, 1. . . 6 are the 13 entries of X.4. Bonus. Find a list of six orthogonal numerical data vectors (constructed from polynomials in a) that are alternately even and odd polynomials, of the general form Xo = U, X1, X2 = X' - GU, X3 = X3 - C2X, $4 = X4 - c3X2 - c,U, X5 = X5 - 65X3 - C6X that can be used to solve this problem quickly. Verify that they give the same predictions as Excel