Problem 1. Non-Parametric Curve Design (3 points). For the given data points, determine the equation for the non-parametric cubic spline. Then, assume that P3 is moved to (6, 2). What isthe equation for the new curve? How does the shape of the curve change if P2 moves? Make a plot and compare them. How is the curve shape affected by moving a single point?

Fig: 1