Part 4. [12 points] We are given the following set of data points: (0), (2h qe ew: We wish to fit these points with a quadratic polynomial of the form: y= ar'? +br+c using the method of least squares. Answer the following questions: 1. [5 points] Write down the general form of the least-squares error function: 4 E(a, b,c) = Sui (ax? + br; + ))*. i=] 2. [7 points] Derive the equations for minimizing E(a,b,c). You should obtain three equations in three unknowns. Set up the resulting linear system for a, b, and c explicitly based on the given data points. (You do not need to solve it.)