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) to (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 slope to three decimal places and round the constant to the nearest integer as needed.) Find the least-squares regression line for females. (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. O A. 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.) O B. 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.)
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) to (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 slope to three decimal places and round the constant to the nearest integer as needed.) Find the least-squares regression line for females. (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. O A. 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.) O B. 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.)
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
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.
If the number of male licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by
nothing,
on average.(Round to three decimal places as needed.)
If the number of fatal crashes increases by 1, then the number of male licensed drivers increases by
nothing
thousand, on average.(Round to three decimal places as needed.)
If the average age of all male licensed drivers increases by 1, then the number of fatal crashes increases by
nothing,
on average.(Round to three decimal places as needed.)
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.
If the number of fatal crashes increases by 1, then the number of female licensed drivers increases by
nothing
thousand, on average.(Round to three decimal places as needed.)
If the number of female licensed drivers increases by 1 (thousand), then the number of fatal crashes increases by
nothing,
on average.(Round to three decimal places as needed.)
If the average age of all female licensed drivers increases by 1, then the number of fatal crashes increases by
nothing,
on average.(Round to three decimal places as needed.)
It does not make sense to interpret the slope.
The slope of the regression line for males is
that for females. This means that males tend to be involved in
females. An insurance company may use this information to argue for
▼
the same as
greater than
less than
▼
as many fatal crashes as
more fatal crashes than
fewer fatal crashes than
▼
higher rates for female customers.
equal rates for male and female customers.
higher rates for male customers.
(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
The number of fatal accidents for 21 to 24 year old males was
The number of fatal accidents for males greater than 74 years old was
▼
below average.
above average.
▼
below average.
above average.
▼
above average.
below average.
An insurance company could use it to argue for higher rates for
drivers and lower rates for
drivers.
▼
older
younger
▼
younger
older
Does the same relationship hold for females?
No
Yes
Transcribed Image Text:Number of
Number of
Number of Male Fatal
Number of Female Fatal
Licensed Drivers Crashes Licensed Drivers Crashes
Age (000s)
(Males)
(000s)
(Females)
< 16
12
227
12
77
16-20
6,424
5,180
6,139
2,113
21-24
6,949
5,016
6,816
1,531
25-34
18,068
8,587
17,664
2,780
35-44
20,406
7,990
20,023
2,742
45-54
19,898
7,112
19,984
2,285
55-64
14,332
4,527
14,441
1,514
65-74
8,194
2,274
8,423
938
>74
4,803
2,022
5,375
972
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) to (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 slope to three decimal places and round the constant to the nearest integer as needed.)
Find the least-squares regression line for females.
ý =x+0
(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.
O A. 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.)
O B. 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.)
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