Examine closely the system of equations that result when you t the quadratic in Problem 3. Suppose (:2 = 0. What would be the corresponding system of equations? Repeat for the cases c1 = 0 and c3 = 0. Suggest a system of equations for a cubic. Check your result. Explain how you would generalize the system of Equation (3.4) to t any polynomial. Explain what you would do if one or more of the coefcients in the polynomial were zero. REFERENCE: Derive the equations that minimize the sum of the squared deviations between a set of data points and the quadratic model y = clx2 + 02x + C3. Use the equations to nd estimates of (:1, 02, and 03 for the following set of data. y 0.06 0.12 0.36 0.65 0.95 Compute D and dmax to bound cmax. Compare the results with your solution to Problem 3 in Section 3.2