The following data, obtained from the U.S. Census Bureau, represent the population of the United States. An

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The following data, obtained from the U.S. Census Bureau, represent the population of the United States. An ecologist is interested in finding an equation that describes the population of the United States over time. She is convinced that the population is growing exponentially

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(a) Draw a scatter diagram treating time as the explanatory variable.

(b) Determine the logarithm of the y-values so that Y = log y. Draw a scatter diagram of the transformed data.

(c) Find the least-squares regression line of the transformed data.

(d) Find the exponential equation of best fit.

(e) Use the exponential equation of best fit to predict the population of the United States in 2020, the year of the next census.

(f) Do you think your prediction will overestimate or underestimate the actual population in 2020? Why?

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