Functional Linear Model: E=L2(T) is the Hilbert space of square integrable functions over T = [a, b] and m is a linear operator in the space, i.e. m(X)=〈X,β〉 with β∈L2(T). This model has been treated extensively in the literature mainly devoted to the optimal way of representing the linear operator through the representation of X and β on a basis of L2(T).