Male versus Female drivers The data given represents the number of licensed drivers in various age groups and the number of accidents within the age group by gender. a. Draw scatterplots for male and female separately, treating number of licensed drivers as the explanatory variable, x, and the number of crashes, y, as the response variable. Describe the pattern, (form, strength, and direction) that you observe in the scatterplots. b. Find the value of Pearson's linear correlation coefficient for each gender and test if they are significant using critical value from the table. Write your conclusions. c. Find the coefficient of determination for both the data. Write you interpretation of them. d. Find the least square regression line for males, treating number of licensed drivers as the explanatory variable, x, and the number of crashes, y, as the response variable. e. Repeat the above procedure of part (c) for females. f. Interpret the slope of the regression line for each gender, if appropriate. How might an insurance company use this information? g. Predict the number of accidents for males if there were 8700 thousand licensed drivers. Predict the number of accidents for females if there were 8700 thousand licensed drivers. Compare the results for males and females and explain. h. Draw residual plots for males and females and describe the plots. Does the plot suggest that the linear fit is good for the data? Number of Number of Number of Age Group Number of Male Licensed Drivers Crashes Female Licensed Crashes Involving a M Drive Involving a F 16 816 244 764 178 17 1198 233 1115 175 18 1342 243 1212 164 19 1454 229 1333 145 20-24 7866 951 7394 618 25-29 9356 899 8946 595 30-34 10121 875 9871 571 35-39 10521 901 10439 566 40-44 9776 692 9752 455 45-49 8754 667 8710 390 50-54 6840 390 6763 247 55-59 5341 290 5258 165 60-64 4565 218 4486 133 65-69 4234 191 4231 121 70-74 3604 167 3749 104 75-79 2563 118 2716 77 80-84 1400 61 1516 45 > 85 767 34 767 20
Male versus Female drivers The data given represents the number of licensed drivers in various age groups and the number of accidents within the age group by gender. a. Draw scatterplots for male and female separately, treating number of licensed drivers as the explanatory variable, x, and the number of crashes, y, as the response variable. Describe the pattern, (form, strength, and direction) that you observe in the scatterplots. b. Find the value of Pearson's linear correlation coefficient for each gender and test if they are significant using critical value from the table. Write your conclusions. c. Find the coefficient of determination for both the data. Write you interpretation of them. d. Find the least square regression line for males, treating number of licensed drivers as the explanatory variable, x, and the number of crashes, y, as the response variable. e. Repeat the above procedure of part (c) for females. f. Interpret the slope of the regression line for each gender, if appropriate. How might an insurance company use this information? g. Predict the number of accidents for males if there were 8700 thousand licensed drivers. Predict the number of accidents for females if there were 8700 thousand licensed drivers. Compare the results for males and females and explain. h. Draw residual plots for males and females and describe the plots. Does the plot suggest that the linear fit is good for the data? Number of Number of Number of Age Group Number of Male Licensed Drivers Crashes Female Licensed Crashes Involving a M Drive Involving a F 16 816 244 764 178 17 1198 233 1115 175 18 1342 243 1212 164 19 1454 229 1333 145 20-24 7866 951 7394 618 25-29 9356 899 8946 595 30-34 10121 875 9871 571 35-39 10521 901 10439 566 40-44 9776 692 9752 455 45-49 8754 667 8710 390 50-54 6840 390 6763 247 55-59 5341 290 5258 165 60-64 4565 218 4486 133 65-69 4234 191 4231 121 70-74 3604 167 3749 104 75-79 2563 118 2716 77 80-84 1400 61 1516 45 > 85 767 34 767 20
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Male versus Female drivers
The data given represents the number of licensed drivers in various age groups and the number
of accidents within the age group by gender.
a. Draw scatterplots for male and female separately, treating number of licensed drivers as
the explanatory variable, x, and the number of crashes, y, as the response variable.
Describe the pattern, (form, strength, and direction) that you observe in the scatterplots.
b. Find the value of Pearson's linear correlation coefficient for each gender and test if they
are significant using critical value from the table. Write your conclusions.
c. Find the coefficient of determination for both the data. Write you interpretation of them.
d. Find the least square regression line for males, treating number of licensed drivers as the
explanatory variable, x, and the number of crashes, y, as the response variable.
e. Repeat the above procedure of part (c) for females.
f. Interpret the slope of the regression line for each gender, if appropriate. How might an
insurance company use this information?
g. Predict the number of accidents for males if there were 8700 thousand licensed drivers.
Predict the number of accidents for females if there were 8700 thousand licensed drivers.
Compare the results for males and females and explain.
h. Draw residual plots for males and females and describe the plots. Does the plot suggest
that the linear fit is good for the data?
Transcribed Image Text:Number of
Number of
Number of
Age Group
Number of Male
Licensed Drivers
Crashes
Female Licensed Crashes
Involving a M Drive
Involving a F
16
816
244
764
178
17
1198
233
1115
175
18
1342
243
1212
164
19
1454
229
1333
145
20-24
7866
951
7394
618
25-29
9356
899
8946
595
30-34
10121
875
9871
571
35-39
10521
901
10439
566
40-44
9776
692
9752
455
45-49
8754
667
8710
390
50-54
6840
390
6763
247
55-59
5341
290
5258
165
60-64
4565
218
4486
133
65-69
4234
191
4231
121
70-74
3604
167
3749
104
75-79
2563
118
2716
77
80-84
1400
61
1516
45
> 85
767
34
767
20
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