THIS NEEDS TO BE CODED USING PYTHON PROGRAMMING. A CODE WHICH YOU CAN RUN ON COMPILER AND ALSO GIVES THE ANSWER FOR THE QUESTION BELOW. I WASN'T ABLE TO RUN ANY OF THE CODES I GOT SO FAR ON A COMPILER. PLEASE LET ME KNOW A WAY TO CONTACT AND GET SOME CLARITY ON THE QUESTION. I CANT USE THE COMMENTS SOMEHOW.

Using a table of values of the function y(x) at points x_i, i=0,1,2,3,4,5 construct a cubic spline interpolation polynomial, calculate the value of the interpolation error at point x^*; solve the normal system of the method of least squares to construct approximating polynomials of the 1^st and 2^nd degree, calculate the sum of squared errors for each of the approximating polynomials:

24

y=arccos(x) + x

xi = -0.7, -0.4, -0.1, 0.2, 0.5, 0.8

x* = 0.1