please solve it with matlab coding i will give Guranteed Thumbs up if you solve it correctly.:) and if someone gives inappropriate comments then I will complain to chegg

Q1: [10 Marks] We are given the data x=(0.25, 0.30, 0.39, 0.45,0.53) and y = (0.5000,0.5477,0.6245,0.6708,0,7280). (a) Determine the natural cubic spline (3) which interpolates to the values of y at the points 2 You should set up the system of equations to be solved by hand and show how S(r) is calculated from there the actual solution of the system can be done by MATLAB). Display your final result with 4 decimal points. Q1: [10 Marks] We are given the data x=(0.25, 0.30, 0.39, 0.45,0.53) and y = (0.5000,0.5477,0.6245,0.6708,0,7280). (a) Determine the natural cubic spline (3) which interpolates to the values of y at the points 2 You should set up the system of equations to be solved by hand and show how S(r) is calculated from there the actual solution of the system can be done by MATLAB). Display your final result with 4 decimal points