For small values of n and p and Xij = ij−1 , perform the Gram–Schmidt orthonormalization analytically and find R−1 QT = (XTX)−1XT. You should be reminded of orthogonal polynomials. With the data from...

For small values of n and p and Xij = ij−1 , perform the Gram–Schmidt orthonormalization analytically and find R−1 QT = (XTX)−1XT. You should be reminded of orthogonal polynomials.

With the data from Exercise 5.2 and using the results of Example 5.4, estimate the coefficients of the model yi = b1+b2 xi +b3 x2 i +ei via regular and modified Gram–Schmidt, using only four decimal digits.