Problem: Find the quadratic splines that interpolate over the points \{(x_i, y_i)\} as given by
X Y
1.00 50.00
5.00 15.50
9.50 30.00
15.00 70.00
Q1: How many splines do you need to interpolate the given points?
Q2: Solve eq.(4) for $\alpha$ and show $M$, $\alpha$ and $Y$, given the \{(x_i, y_i)\} and $s_i^\prime = 0$.
Q3: What is the value of \{$p(11), p'(11), p''(11)$\}. See eq. (1).
Q4: Show co-plots of \{(x_i, y_i)\} as 'x' points, and $p(x)$ as continuous.
