Chapter 1.3, Problem 12E

Cigarette smoking. The data in Table 7 shows that the percentage of male cigarette smokers in the U.S. declined from 27.6% in 1997 to 21.5% in 2010.

(A) Applying linear regression to the data for males in Table7 produces the model

$m=-0.44t+27.28$

where $m$ is percentage of male smokers and $t$ is time in years since 1997. Draw a scatter plot of the male smoker data and a graph of the regression model for $0\le t\le 15$.

(B) Estimate the first year in which the percentage of male smokers is less than 15%