Chapter 4, Problem 16CR

Data Analysis The following data represent the percent of all drives by age who have been stopped by the police for any reason within the past year. The median age represents the midpoints of the upper and lower limit for the age range.

Age Range	Median Age, $x$	Percent Stopped, $y$
16-19	17.5	18.2
20-29	24.5	16.8
30-39	34.5	11.3
40-49	44.5	9.4
50-59	54.5	7.7
$\ge$ 60	69.5	3.8

Using your graphing utility, draw a scatter diagram of the data treating median age, $x$, as the independent variable.

Determine a model that you feel best describes the relation between median age and present stopped. You may choose from among linear, quadratic, cubic, exponential, logarithmic, and logistic models.

Provide a justification for the model you selected in part (b).