Male vs. Female Drivers(Refer to 34, Section.) The

QUESTION:

Male vs. Female Drivers (Refer to Problem 34, Section 4.1.) The following data represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender.

\(\begin{array}{|c|c|c|c|c|} \hline \text { Age } & \begin{array}{c} \text { Number of } \\ \text { Male Licensed } \\ \text { Drivers (000s) } \end{array} & \begin{array}{c} \text { Number } \\ \text { of Fatal } \\ \text { Crashes } \end{array} & \begin{array}{c} \text { Number of } \\ \text { Female Licensed } \\ \text { Drivers (000s) } \end{array} & \begin{array}{c} \text { Number } \\ \text { of Fatal } \\ \text { Crashes } \end{array} \\ \hline<16 & 12 & 227 & 12 & 77 \\ \hline 16-20 & 6,424 & 5,180 & 6,139 & 1,113 \\ \hline 21-24 & 6,941 & 5,016 & 6,816 & 2,780 \\ \hline 25-34 & 18,068 & 8,595 & 17,664 & 2,742 \\ \hline 35-44 & 20,406 & 7,990 & 20,063 & 2,285 \\ \hline 45-54 & 19,898 & 7,118 & 19,984 & 1,514 \\ \hline 55-64 & 14,340 & 4,527 & 14,441 & 938 \\ \hline 65-74 & 8,194 & 2,274 & 8,400 & 980 \\ \hline>74 & 4,803 & 2,022 & 5,375 & 936 \\ \hline \end{array}\)

(a) Find the least-squares regression line for males treating number of licensed drivers as the explanatory variable, \(x\), and number of fatal crashes, \(y\), as the response variable. Repeat this procedure for females.

(b) Interpret the slope of the least-squares regression line for each gender, if appropriate. How might an insurance company use this information?

(c) Was the number of fatal accidents for 16- to 20-year-old males above or below average? Was the number of fatal accidents for 21- to 24-year-old-males above or below average? Was the number of fatal accidents for males greater than 74 years old above or below average? How might an insurance company use this information? Does the same relationship hold for females?