import numpy as np

def fit_best_curve(coordinates, deg):

    x_values = [point[0] for point in coordinates]
    y_values = [point[1] for point in coordinates]
    
    # Fit a polynomial of given degree to minimize MSE
    coefficients = np.polyfit(x_values, y_values, deg)
    
    # print("Polynomial coefficients (descending order):", coefficients)
    
    return coefficients