Question #4. Consider the following data set: X = [1 3 5 9 12]; Y = [5 3 1 7 10]; a) Create a second order best fit equation for the provided data using the least squares method (formulas provided below). ???? = ???????? + ???????????????? + ???????????????? [ ???? ∑???????? ∑???????? ∑???????? ∑????2 ???? ∑???????????????? ∑???????? ∑???????????????? ∑????2 ???? ] ∗ [????0 ????1 ????2] = [ ∑???????? ∑???????????????? ∑???????????????? ] b) Solve for the second order coefficients using polyfit and compare your results to the ones from part a. c) Calculate the r^2 value for the created best fit equation.