The data in the table represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. Complete parts (a) through (c) below. E Click the icon to view the data table. (a) Find the least-squares regression line for males treating the number of licensed drivers as the explanatory variable, x, and the number of fatal crashes, y, as the response variable. Repeat this procedure for females. Find the least-squares regression line for males. (Round the x coefficient to three decimal places as needed. Round the constant to the nearest integer as needed.) Find the least-squares regression line for females. y =x+O (Round the x coefficient to three decimal places as needed. Round the constant to the nearest integer as needed.) (b) Interpret the slope of the least-squares regression line for each gender, if appropriate. How might an insurance company use this information? What is the correct interpretation of the slope of the least-squares regression line for males? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Use the answer from part a to find this answer.) O A. If the average age of all male licensed drivers increases by 1, then the number of fatal crashes increases by on average. O B. If the number of fatal crashes increases by 1, then the number of male licensed drivers increases by thousand, on average. O C. If the number of male licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by on average. O D. It does not make sense to interpret the slope. What is the correct interpretation of the slope of the least-squares regression line for females? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Use the answer from part a to find this answer.) O A. If the average age of all female licensed drivers increases by 1, then the number of fatal crashes increases by on average. O B. If the number of female licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by , on average. O C. If the number of fatal crashes increases by 1, then the number of female licensed drivers increases by thousand, on average. O D. It does not make sense to interpret the slope. The slope of the regression line for males is V that for females. This means that males tend to be involved in V females. An insurance company may use this information to argue for

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### Data for Licensed Drivers by Age and Gender

This table presents data on licensed drivers categorized by age and gender. It includes the number of licensed drivers and the number of fatal crashes for both males and females across different age groups.

| Age    | Number of Male Licensed Drivers (000s) | Number of Fatal Crashes (Male) | Number of Female Licensed Drivers (000s) | Number of Fatal Crashes (Female) |
|--------|----------------------------------------|-------------------------------|------------------------------------------|----------------------------------|
| < 16   | 12                                     | 227                           | 12                                       | 77                               |
| 16-20  | 6,424                                  | 5,180                         | 6,139                                    | 2,113                            |
| 21-24  | 6,918                                  | 5,016                         | 6,816                                    | 1,522                            |
| 25-34  | 18,068                                 | 8,595                         | 17,664                                   | 2,780                            |
| 35-44  | 20,406                                 | 7,990                         | 20,086                                   | 2,742                            |
| 45-54  | 19,898                                 | 7,131                         | 19,984                                   | 2,285                            |
| 55-64  | 14,374                                 | 4,527                         | 14,441                                   | 1,514                            |
| 65-74  | 8,194                                  | 2,274                         | 8,422                                    | 938                              |
| > 74   | 4,803                                  | 2,022                         | 5,375                                    | 957                              |

#### Explanation:
- The table is segmented by age ranges.
- Each row provides the count of licensed drivers and fatal crashes for both genders within that age range.
- Data is presented in thousands (000s) for licensed drivers and in whole numbers for fatal crashes.
  
This table can be used to analyze trends in driver licensing and safety across different demographic groups. It is essential for understanding the impact of age and gender on driving safety and can aid in the development of targeted safety measures.
Transcribed Image Text:### Data for Licensed Drivers by Age and Gender This table presents data on licensed drivers categorized by age and gender. It includes the number of licensed drivers and the number of fatal crashes for both males and females across different age groups. | Age | Number of Male Licensed Drivers (000s) | Number of Fatal Crashes (Male) | Number of Female Licensed Drivers (000s) | Number of Fatal Crashes (Female) | |--------|----------------------------------------|-------------------------------|------------------------------------------|----------------------------------| | < 16 | 12 | 227 | 12 | 77 | | 16-20 | 6,424 | 5,180 | 6,139 | 2,113 | | 21-24 | 6,918 | 5,016 | 6,816 | 1,522 | | 25-34 | 18,068 | 8,595 | 17,664 | 2,780 | | 35-44 | 20,406 | 7,990 | 20,086 | 2,742 | | 45-54 | 19,898 | 7,131 | 19,984 | 2,285 | | 55-64 | 14,374 | 4,527 | 14,441 | 1,514 | | 65-74 | 8,194 | 2,274 | 8,422 | 938 | | > 74 | 4,803 | 2,022 | 5,375 | 957 | #### Explanation: - The table is segmented by age ranges. - Each row provides the count of licensed drivers and fatal crashes for both genders within that age range. - Data is presented in thousands (000s) for licensed drivers and in whole numbers for fatal crashes. This table can be used to analyze trends in driver licensing and safety across different demographic groups. It is essential for understanding the impact of age and gender on driving safety and can aid in the development of targeted safety measures.
The data in the table represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. Complete parts (a) through (c) below.

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

Find the least-squares regression line for males.

\[ \hat{y} = \boxed{\phantom{0}} x + \boxed{\phantom{0}} \]

(Round the \( x \) coefficient to three decimal places as needed. Round the constant to the nearest integer as needed.)

Find the least-squares regression line for females.

\[ \hat{y} = \boxed{\phantom{0}} x + \boxed{\phantom{0}} \]

(Round the \( x \) coefficient to three decimal places as needed. Round the constant to the nearest integer as needed.)

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

What is the correct interpretation of the slope of the least-squares regression line for males? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Use the answer from part a to find this answer.)

- A. If the average age of all male licensed drivers increases by 1, then the number of fatal crashes increases by \(\boxed{\phantom{0}}\), on average.
- B. If the number of fatal crashes increases by 1, then the number of male licensed drivers increases by \(\boxed{\phantom{0}}\) thousand, on average.
- C. If the number of male licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by \(\boxed{\phantom{0}}\), on average.
- D. It does not make sense to interpret the slope.

What is the correct interpretation of the slope of the least-squares regression line for females? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Use the answer from part a to find this answer.)

- A. If the average age of all female licensed drivers increases by 1, then the number of fatal crashes increases by \(\boxed{\phantom{0
Transcribed Image Text:The data in the table represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. Complete parts (a) through (c) below. (a) Find the least-squares regression line for males treating the number of licensed drivers as the explanatory variable, \( x \), and the number of fatal crashes, \( y \), as the response variable. Repeat this procedure for females. Find the least-squares regression line for males. \[ \hat{y} = \boxed{\phantom{0}} x + \boxed{\phantom{0}} \] (Round the \( x \) coefficient to three decimal places as needed. Round the constant to the nearest integer as needed.) Find the least-squares regression line for females. \[ \hat{y} = \boxed{\phantom{0}} x + \boxed{\phantom{0}} \] (Round the \( x \) coefficient to three decimal places as needed. Round the constant to the nearest integer as needed.) (b) Interpret the slope of the least-squares regression line for each gender, if appropriate. How might an insurance company use this information? What is the correct interpretation of the slope of the least-squares regression line for males? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Use the answer from part a to find this answer.) - A. If the average age of all male licensed drivers increases by 1, then the number of fatal crashes increases by \(\boxed{\phantom{0}}\), on average. - B. If the number of fatal crashes increases by 1, then the number of male licensed drivers increases by \(\boxed{\phantom{0}}\) thousand, on average. - C. If the number of male licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by \(\boxed{\phantom{0}}\), on average. - D. It does not make sense to interpret the slope. What is the correct interpretation of the slope of the least-squares regression line for females? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Use the answer from part a to find this answer.) - A. If the average age of all female licensed drivers increases by 1, then the number of fatal crashes increases by \(\boxed{\phantom{0
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