For n = 10, 000, set xi = i/n and yi = doppler(xi) + ei where ei N(0, 0.052 ). 1. Use the trigonometric functions to estimate the regression function. 2. Use the Legendre polynomials to estimate the regression function. 3. Use the Harr wavelets to estimate the regression function. For 1-3, try to use a small number of terms. You are okay to use any programming libraries (that is, you do not need to make your own code; just use standard libraries) but specify all parameters to get your estimates.

NB. Any programming language can be used