In this problem, we want to represent the relationship between the input of a system, x, and its output, y, using a polynomial. A set of 21 system measurement data pairs were obtained and saved in the MATLAB file xyg1.mat.

To solve this problem, design and write a MATLAB function named polyfitsystem. m that has the following requirements:

1. The function must have the following input arguments:

a. x containing the input measurement data
b. y containing the output measurement data
c. R2 the minimum desired coefficient of determination resulting from the curve fitting calculations

2. The function must have the following output arguments:

a. z containing the coefficients of the fitting polynomial
b. N the degree of the polynomial
c. R2 the actual coefficient of determination resulting from the curve fitting calculations.

You may use the MATLAB built-in functions polyfit and polyval inside your user-defined function polyfitsystem.

To test your function, write a MATLAB script that calls your polyfitsystem function using the provided data and the following examples of minimum desired values for R2