Noiseless observations. Call the observations noiseless if Yi = m(Xi), so that it is the problem of function interpolation for a random design. Prove that under the conditions (i) – (iv) of Theorem...

Noiseless observations. Call the observations noiseless if Yi = m(Xi), so that it is the problem of function interpolation for a random design. Prove that under the conditions (i) – (iv) of Theorem 4.1 the regression estimate is weakly consistent for noiseless observations. Hint: Check the proof of Theorem 4.1.