The code needs to be written in MATLAB.

Lab 6: Spline interpolation Consult lab template.m and lab example.m files for submission guidelines. All labs are due Monday at 11:30 pm the week after they were assigned Task Write a function that interpolates a set of data points using a quadratic spline and outputs a table of coefficients used for the spline fit (a in column 1, b in columns 2, c in column 3) Check to make sure that the same number of x and y data points have been provided (can be any number of data points) Given a set of (x,,y) points, recall the quadratic spline fit process: 1. Given n points, there should be n - 1 total spline polynomials 2. a, is set to the value of f 3. b, is solved from the following system of linear equations: 2(f2-fi) 1 1 0 0 0TT b 010 0l b2 0 0 .0 0b3 2(f3-12) 0 0 01 1lb 2 0 0 00 1Jlb , 1, n-2] 4. ci is solved from 5. -1 is set to 0 for [i Lab 6: Spline interpolation Consult lab template.m and lab example.m files for submission guidelines. All labs are due Monday at 11:30 pm the week after they were assigned Task Write a function that interpolates a set of data points using a quadratic spline and outputs a table of coefficients used for the spline fit (a in column 1, b in columns 2, c in column 3) Check to make sure that the same number of x and y data points have been provided (can be any number of data points) Given a set of (x,,y) points, recall the quadratic spline fit process: 1. Given n points, there should be n - 1 total spline polynomials 2. a, is set to the value of f 3. b, is solved from the following system of linear equations: 2(f2-fi) 1 1 0 0 0TT b 010 0l b2 0 0 .0 0b3 2(f3-12) 0 0 01 1lb 2 0 0 00 1Jlb , 1, n-2] 4. ci is solved from 5. -1 is set to 0 for [i