Question

In: Statistics and Probability

In a study of the role of young drivers in automobile accidents, data on the percentage...

In a study of the role of young drivers in automobile accidents, data on the percentage of licensed drivers under the age of 21 and the number of fatal accidents per 1000 licenses were determined for 32 cities. The first column contains a number as city code, the second column contains the percentage of drivers who are under 21, and the third column contains the number of fatal accidents is dependent upon the proportion of licensed drivers that are under 21.

Use 30 degrees of freedom, and alpha as 0.01 to get a critical value of 1.697)

16. What is the margin of error for calculating a 90% interval for the slope of the true regression line? (i.e. 1.697 by the standard deviation of the slope

17. What is the lower 90% confidence limit for the slope?

18. What is the upper 90% confidence limit of the slope?

19. What is the value of the test statistic for testing this hypothesis?

1 11 2.352
2 15 3.392
3 11 2.488

4

17 2.707
5 15 2.739
6 15 3.51
7 18 3.867
8 14 1.679
9 8 0.65
10 8 0.965
11 18 3.447
12 9 0.23
13 5 0
14 11 1.477
15 14 2.378
16 10 1.458
17 16 2.568
18 16 3.018
19 8 1.229
20 14 1.474
21 8 1.415
22 20 3.796
23 15 1.971
24 8 0.467
25 10 1.526
26 11 0.676
27 15 2.526
28 9 1.311
29 5 0.223
30 13 2.989
31 8

1.107

32 12 0.401

Solutions

Expert Solution

drivers (x) accidents (y) (x-x_)^2 (y-y_)^2 (x-x_)(y-y_)
1 11 2.352 1.1963 0.2265 -0.5205
2 15 3.392 8.4463 2.2980 4.4056
3 11 2.488 1.1963 0.3744 -0.6693
4 17 2.707 24.0713 0.6904 4.0766
5 15 2.739 8.4463 0.7446 2.5078
6 15 3.51 8.4463 2.6696 4.7485
7 18 3.867 34.8838 3.9637 11.7588
8 14 1.679 3.6338 0.0388 -0.3757
9 8 0.65 16.7588 1.5033 5.0193
10 8 0.965 16.7588 0.8301 3.7298
11 18 3.447 34.8838 2.4677 9.2781
12 9 0.23 9.5713 2.7096 5.0926
13 5 0 50.3213 3.5198 13.3086
14 11 1.477 1.1963 0.1593 0.4365
15 14 2.378 3.6338 0.2519 0.9567
16 10 1.458 4.3838 0.1748 0.8754
17 16 2.568 15.2588 0.4787 2.7027
18 16 3.018 15.2588 1.3039 4.4605
19 8 1.229 16.7588 0.4187 2.6491
20 14 1.474 3.6338 0.1617 -0.7665
21 8 1.415 16.7588 0.2126 1.8876
22 20 3.796 62.5088 3.6860 15.1792
23 15 1.971 8.4463 0.0090 0.2758
24 8 0.467 16.7588 1.9856 5.7685
25 10 1.526 4.3838 0.1226 0.7330
26 11 0.676 1.1963 1.4402 1.3126
27 15 2.526 8.4463 0.4224 1.8888
28 9 1.311 9.5713 0.3193 1.7483
29 5 0.223 50.3213 2.7327 11.7267
30 13 2.989 0.8213 1.2385 1.0086
31 8 1.107 16.7588 0.5915 3.1485
32 12 0.401 0.0088 2.1759 0.1383
387 60.036 474.7188 39.9221 118.4906


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