In: Statistics and Probability
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 |
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 |