Natural Cubic Splines: Write a MATLAB Script that imports a set of data points from a text file (i.e. file.txt). The program should further generate the appropriate system of linear equations (For Natural Cubic Splines) and solves for the coefficient fo the splines that fit the data provided. In your program, plot the data points together with the spline interpolating polynomial.

Table 1: data points 3.5 4.5 0 0.5 1 1.5 2 2.5 y 0.5 0.3 -3.1 7,675 0.3 53.75 212.3 569.775 1261.7 2472.8