4.2 Statistics
17. he 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. Co Print parts (a) to (c) below. 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= x + (Round the slope to three decimal places and round the constant to the nearest integer as needed.) Find the least-squares regression line for females. y = x + (Round the slope to three decimal places and 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 A. If the average age of all male licensed drivers increases by 1, then the number of fatal crashes increases by on average. Round to three decimal places as needed.) B. If the number of male licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by on average. (Round to three decimal places as needed.) C. If the number of fatal crashes increases by 1, then the number of male licensed drivers increases by thousand, on average. Round to three decimal places as needed.) 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. A. If the number of female licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by on average. (Round to three decimal places as needed.) B. If the average age of all female licensed drivers increases by 1, then the number of fatal crashes increases by on average. Round to three decimal places as needed.) O C. If the number of fatal crashes increases by 1, then the number of female licensed drivers increases by thousand, on average. Round to three decimal places as needed.) O D. It does not make sense to interpret the slope. The slope of the regression line for males is (1) that for females. This means that males tend to be involved in (2) females. An insurance company may use this information to argue for (3) 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? The number of fatal accidents for 16 to 20 year old males was (4) .The number of fatal accidents for 21 to 24 year old males was (5) The number of fatal accidents for males greater than 74 years old was (6) An insurance company could use it to argue for higher rates for (7) drivers and lower rates for (8) drivers. Does the same relationship hold for females? No O Yes 3: Data for licensed drivers by age and gender. Number of Number of Number of Male Fatal Number of Female Fatal Licensed Crashes Licensed Crashes Age Drivers (000s) (Males) Drivers (000s) (Females) 74 4,803 2,022 5,375 990 (1) O less than (2) O as many fatal crashes as (3) O higher rates for male customers. (4) O below average. greater than O more fatal crashes than O equal rates for male and female customers. O above average. the same as O fewer fatal crashes than higher rates for female customers. (5) O below average. (6) O above average. (7) O younger (8) O older O above average. O below average O older O younger
