From 1790 to 1860, U.S. population grew rapidly (see Table 60).

a. Complete the third column of Table 60. The first entry is

b. What do you observe about the ratios in the third column?
c. On the basis of your observation in part (b), is the association linear or exponential?
d. Let y be the U.S. population (in millions) at x years since 1790. Find the equation of the exponential regression curve that models the data from 1790 to 1860.
e. Complete the third column of Table 61.

f. Is it likely the model you found in part (d) gives reasonable population estimates after 1860? Explain.
g. Use the model you found in part (d) to estimate the population in 2012. The actual population was 313.9 million. What is the residual of your estimate?

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Table 60 U.S. Population Population (millions) Population Ratio (current to previous) Year 1790 1800 1810 1820 1830 1840 1850 1860 3.9 53 7.2 9.6 12.9 1.36 23.2 314 53 136. 1800population 1.36, since 1790popu Table 61 U.S. Population Population Ratio (current to previous) Year 1860 1870 1880 1890 1900 Population millions) 314 39.8 50.2 62.9 76.0