Find the values of a, b, c, and d so that the cubic polynomial y = ax3 + bx2 + cx + d provides the best fit to the following (x, y) pairs in the least squares sense: (-2, -8), (-1, 4), (0, 8), (1, 1), (2, 5), (3, 15).
Note that to check your answer you can plot the given points together with your cubic polynomial on the same graph, and check to see that all 6 points lie fairly close to the curve (as in the tutorial file). But note that the curve might not pass directly through any of the 6 points.