Solution: Modeling Data The table shows the world populations (in billions) for five

Chapter 13, Problem 38

(choose chapter or problem)

The table shows the world population y (in billions) for five different years. Let x = 3 represent the year 2003. (Source: U.S. Census Bureau, International Data Base)

(a) Use the regression capabilities of a graphing utility to find the least-squares regression line for the data.

(b) Use the regression capabilities of a graphing utility to find the least-squares regression quadratic for the data.

(c) Use a graphing utility to plot the data and graph the models.

(d) Use both models to forecast the world population for the year 2020. How do the two models differ as you extrapolate into the future?

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