Using MATLAB please ! Thanks !

Problem. 2- Generalize Least-squares-30pts A data set (x y,), i-1..N, is given by X # linspace (0, 10, 100) ; Y = 2*sin (X+0.5*pi); Assuming you didn't know how the data points were generated, you would like to approximate the data set by a sinusoidal function I) [10 pts] Using the generalized least-square matrix formulation derived in class, determine the two best-fit parameters-amplitude A and phase 0- so that the data can be fitted by the function yA sin(x+e) (1) NAME YOUR CODE MyFit1.m HINT: using trigonometry, show that this fit function y can be rewritten as a linear parameter fit: y- sin(x) + a2 cos(x) (17) 2) [5 pts] Plot on the same graph the data points and the best fit function (over a more finely sampled horizontal axis to have a smooth curve). Comment on the accuracy of the fit NAME YOUR CODE MyFit2.m 3) [15 pts] Consider now the data set is noisy. That is the data are now given by X linspace(0,10,100); Y 2"sin(X+0.5 pi)+ B2 (rand(size(X))-0.5);; Repeat part 1 when noise amplitude B varies successively from 0 to 3 in 0.1 increment. Plot the variations of the percentage true error for the fit amplitude A and phase you computed for these increasing values of B. (use the true values of amplitude Atrue 2 and phase offset Otrue /2 from Part 1 to define the percentage true error). For what values of parameter B is the fit no longer close to original sinusoidal fit why? NAME YOUR CODE MyFit3.m