(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 number of fatal crashes increases by 1, then the number of male licensed drivers increases by thousand, on average. O B. If the number of male licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by on average. O C. If the average age of all male licensed drivers increases by 1, then the number of fatal crashes increases by on average. O D. It does not make sense to interpret the slope.

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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
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Number of
Number of
Number of Male Fatal
Number of Female Fatal
Licensed
Crashes
Licensed Drivers Crashes
Age Drivers (000s) (Male)
(000s)
(Female)
< 16
12
227
12
77
16-20
6,424
5,180
5,016
6,139
2,113
21-24
6,916
6,816
17,664
1,534
25-34
18,068
8,562
2,780
35-44
20,406
7,990
20,085
2,742
45-54
19,898
7,134
19,984
2,285
55-64
14,370
4,527
14,441
1,514
8,194
4,803
65-74
2,274
8,381
938
> 74
2,022
5,375
979
Transcribed Image Text:Number of Number of Number of Male Fatal Number of Female Fatal Licensed Crashes Licensed Drivers Crashes Age Drivers (000s) (Male) (000s) (Female) < 16 12 227 12 77 16-20 6,424 5,180 5,016 6,139 2,113 21-24 6,916 6,816 17,664 1,534 25-34 18,068 8,562 2,780 35-44 20,406 7,990 20,085 2,742 45-54 19,898 7,134 19,984 2,285 55-64 14,370 4,527 14,441 1,514 8,194 4,803 65-74 2,274 8,381 938 > 74 2,022 5,375 979
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.
y = 0.342 x+ 1003
(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 = 0.104 x + 515
(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 number of fatal crashes increases by 1, then the number of male licensed drivers increases by
thousand, on average.
O B. If the number of male licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by
on average.
O C. If the average age of all male licensed drivers increases by 1, then the number of fatal crashes increases by
on average.
O D. It does not make sense to interpret the slope.
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. 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. y = 0.342 x+ 1003 (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 = 0.104 x + 515 (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 number of fatal crashes increases by 1, then the number of male licensed drivers increases by thousand, on average. O B. If the number of male licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by on average. O C. If the average age of all male licensed drivers increases by 1, then the number of fatal crashes increases by on average. O D. It does not make sense to interpret the slope.
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