Using MatLab:

Write an m-file to load data from any .mat file and compute the least squares approximation for the data. This should be the best fit parabola. The function will have no input and no output.

1. Your function whould work for any .mat file containing an m x 2 matrix, where m is a positive integer.

2. The function should show an error message if the .mat file is not an m x 2 matrix.

3. The function should plot the data points and the approximation parabola in one figure with a legend.

4. The function should print the equation of the parabola of best fit (use the fprintf command with %f instead of %d).

NOTE: The equation of a parabola is y = Ct² + Dt + E