8. Given the following experimental data, use cubic spline interpolation method to estimate y
for x equal to 15, 62, and 87.
\begin{tabular}{c c c c c c c c c c c}
x & 10 & 20 & 30 & 40 & 50 & 60 & 70 & 80 & 90 & 100 \\
y & 23 & 45 & 60 & 82 & 111 & 140 & 167 & 198 & 200 & 220 \\
\end{tabular}
9. Given the data in part 8 (above) and using regression method, find the order of the lowest
order polynomial fit that satisfy R-Squared > 0.99. Then write statements necessary to display
the equation for this polynomial.