You can help me solving this problem in matlab.

3 points) For the following data set, find the polynomial of degree 3 that best fits the data: 0 2 3 4 5.8766 2.0493|3.4728 0.4246 -0.8909 -2.1857-2.3166-2.6474 1.0688-1.5070 0.3612 Do all calcu lations using Matlab a) Show the Vandermonde matrix b) Show the calculation of the coefficients of the polynomial of degree 3 of the adjustment. c) Calculate the projection matrix. associated with the problem. gee 3 of the adjut. d) Calculate the projection vector , also the error vector. y-g n-4 esd e) The standard prediction error is defined as where n is the data number. Predict the value of y taking into account the standard error, when x = 1.5 and x = 4.1.1 3 points) For the following data set, find the polynomial of degree 3 that best fits the data: 0 2 3 4 5.8766 2.0493|3.4728 0.4246 -0.8909 -2.1857-2.3166-2.6474 1.0688-1.5070 0.3612 Do all calcu lations using Matlab a) Show the Vandermonde matrix b) Show the calculation of the coefficients of the polynomial of degree 3 of the adjustment. c) Calculate the projection matrix. associated with the problem. gee 3 of the adjut. d) Calculate the projection vector , also the error vector. y-g n-4 esd e) The standard prediction error is defined as where n is the data number. Predict the value of y taking into account the standard error, when x = 1.5 and x = 4