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. (Refer to Problem 34, Section 4.1.)

(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. 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?

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Number of Number Number Age Number Male Licensed of Fatal of Female of Fatal Drivers (000s) Crashes Licensed Drivers (000s) Crashes <16 12 227 12 77 6,424 2,113 16-20 5,180 6,139 21-24 6,941 5,016 6,816 1,531 17,664 25-34 18,068 8,595 2,780 35-44 20,406 7,990 20,063 2,742 45-54 7,118 19,898 19,984 2,285 4,527 1,514 55-64 14,340 14,441 65-74 8,194 2,274 8,400 938 >74 4,803 2,022 5,375 980