In a single plot, show the natural, not-a-knot, and parabolically terminated cubic splines through the world oil production data from Computer Problem 3.2.3.

Computer Problem 3.2.3

The total world oil production in millions of barrels per day is shown in the table that follows. Determine and plot the degree 9 polynomial through the data. Use it to estimate 2010 oil production. Does the Runge phenomenon occur in this example? In your opinion, is the interpolating polynomial a good model of the data? Explain.