Repeat Example 17.6 but using first-, second-, third-, and fourth-order interpolating

Chapter 17, Problem 17.14

(choose chapter or problem)

Repeat Example 17.6 but using first-, second-, third-, and fourth-order interpolating polynomials to predict the population in 2000 based on the most recent data. That is, for the linear prediction use the data from 1980 and 1990, for the quadratic prediction use the data from 1970, 1980, and 1990, and so on. Which approach yields the best result?

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