Write a MATLAB function myfit that will be called from the command line like this: [coef, new_y, error_y] = myfit (X_list, Y_list) The function should use polyfit to determine the best fit curve for the points in X_list and Y_list. The degree of the polynomial should be the smallest degree polynomial with an average error (the average value of the absolute value of the difference between the new y-coordinates and the original y-coordinates) less than 1. You function should return three outputs in the following order

the vector of coefficients of the polynomial

the vector of the new y-coordinates which is the polynomial evaluated at the original x-coordinates

the vector of the error magnitudes (absolute value) of the y-coordinates

Example Test Case:

X_list = [ 1, 3, 5, 7, 9] ; Y_list = [ 4.1054, 3.7485, 5.4772, 9.036, 15.68 ]; [coef,new_y,error_y]=myfit(X_list, Y_list) 

Should display this result in the command window

coef = 0.2827 -1.4053 5.3064 new_y = 4.1838 3.6349 5.3477 9.3222 15.5585 error_y = 0.0784 0.1136 0.1295 0.2862 0.1215 

Your code should work for any set of starting values. Do not include test cases, clear all, etc as part of your submission.