6.17 ( ) www Consider the sum-of-squares error function (6.39) for data having noisy inputs, where () is the distribution of the noise. Use the

6.17 ( ) www Consider the sum-of-squares error function (6.39) for data having noisy inputs, where ν(ξ) is the distribution of the noise. Use the calculus of variations to minimize this error function with respect to the function y(x), and hence show that the optimal solution is given by an expansion of the form (6.40) in which the basis functions are given by (6.41).