In this question you are asked to write a Matlab code that can do polynomial interpolation between the data points with given x & y coordinates. a) Use your program to draw a 3^rd order polynomial through the specified points. As discussed, a 3rd order polynomial requires 4 different data points. Generate the coordinates of the points in the manner shown in the table below such that x-coordinates are uniformly distributed between 0 and 1 and the y-coordinates are selected randomly. Find the coefficients of the 3^rd order polynomial and plot it. y = a_0 + a_1 x + a_2 x^2 + a_3 x^3 Your plot should look like as the one below. b) Run the same program with 6 points and calculate the coefficients of the 5th order polynomial going exactly through the 6 data points with the green coordinates. c) Fit a linear function through data points generated in b). The linear function will not go exactly through the data points but it will be pass "nearby" the points in a sense that the error is minimized. To generate it use the "polyfit" function available in Matlab library Information about the usage of this function can be found in Matlab's help