1.1 (
) www Consider the sum-of-squares error function given by (1.2) in which the function y(x,w) is given by the polynomial (1.1). Show that the coefficients w = {wi} that minimize this error function are given by the solution to the following set of linear equations M

j=0 Aijwj = Ti (1.122)

where Aij =

N n=1

(xn)i+j, Ti =

N n=1

(xn)itn. (1.123)

Here a suffix i or j denotes the index of a component, whereas (x)i denotes x raised to the power of i.