11. To make a trend analysis of six evenly spaced data points, one can use orthogonal...
11. To make a trend analysis of six evenly spaced data points, one can use orthogonal polynomials with respect to evaluation at the points t = -3,-2, -1,0,1, and 2. (8pts) a. Show the first three orthogonal polynomials are po(t) = 1, p2(t) = t, pz(t) = {2 - 197 +27 (6pts) b. Fit a quadratic trend function to the data: (-3,1),(-2,-1),(-1,2), (0,4),(1,4), (2,6).