The data in Table 7 represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender.

(a) Draw a scatter diagram of the data treating number of licensed drivers as the explanatory variable and number of fatal crashes as the response variable using a different plotting symbol for each gender.

(b) Find the least-squares equation \(\hat{y}=b_{0}+b_{1} x_{1}+b_{2} x_{2}\), where \(x_{1}\) is the number of licensed drivers, \(x_{2}\) is an indicator variable where \(0=\) male, \(1=\) female, and \(y\) is the number of fatal crashes.

(c) Interpret the coefficient of each explanatory variable.

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Table 7 Age Number of Male Licensed Drivers (000s) Number of Fatal Crashes Number of Female Licensed Drivers (000s) Number of Fatal Crashes <16 12 227 12 77 16-20 6424 5180 6139 2113 21-24 6941 5016 6816 1531 25-34 18,068 8595 17,664 2780 35-44 20,406 7990 20,063 2742 45-54 19,898 7118 19,984 2285 55-64 14,430 4527 14,441 1514 65-74 8194 2274 8400 938 >-74 4803 2022 5375 980