A study was conducted to investigate the influence of a driver's age, number of driving years and attention span (the higher, the more detailed) on the number of speeding tickets within the last five years. Given a driver at age 30, who has been driving for 10 years with an attention span score of 5, what is the number of tickets that can be expected?
TICKETS | AGE | YEARS | SPAN |
8 | 32 | 16 | 7 |
6 | 35 | 19 | 10 |
5 | 24 | 10 | 2 |
10 | 41 | 25 | 9 |
11 | 46 | 30 | 1 |
6 | 28 | 12 | 3 |
5 | 25 | 10 | 2 |
4 | 24 | 9 | 1 |
6 | 28 | 12 | 3 |
12 | 49 | 33 | 6 |
15 | 50 | 30 | 7 |
2 | 21 | 5 | 4 |
13 | 41 | 26 | 6 |
7 | 30 | 15 | 5 |
9 | 41 | 25 | 6 |
7 | 27 | 11 | 2 |
10 | 39 | 23 | 4 |
12 | 47 | 31 | 2 |
16 | 46 | 32 | 8 |
5 | 21 | 5 | 2 |
4 | 24 | 8 | 1 |
10 | 37 | 21 | 9 |
6 | 28 | 12 | 3 |
1 | 20 | 2 | 3 |
12 | 43 | 27 | 8 |
8 | 32 | 16 | 7 |
8 | 32 | 16 | 7 |
3 | 37 | 7 | 6 |
5 | 26 | 10 | 1 |
8 | 29 | 13 | 4 |
13 | 42 | 26 | 7 |
2 | 22 | 4 | 2 |
7 | 41 | 15 | 7 |
12 | 47 | 31 | 8 |
5 | 33 | 17 | 8 |
10 | 36 | 20 | 5 |
2 | 23 | 5 | 2 |
The appropriate test for this problem is:
a. correlation
b. regression
c. multiple regression
The obtained statistic is:
a. .883
b. .388
c. 83.01
d. 155.33
The associated p value is:
a. < .05
b. < .01
c. < .001
d. < .0001
Decision is:
a. reject the null
b. retain the null
Conclusion is (closest answer due to rounding error):
a. Y' = 6.44
b. Y' = 4.85
c. the older the age, the more the speeding tickets
d. no prediction can be drawn
applying multiple regression on above data:
df | SS | MS | F | Significance F | |
Regression | 3 | 465.98 | 155.33 | 83.01 | 0.0000 |
Residual | 33 | 61.75 | 1.87 | ||
Total | 36 | 527.73 | |||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | |
Intercept | 1.7750 | 1.4864 | 1.1941 | 0.2409 | -1.2491 |
AGE | -0.0433 | 0.0816 | -0.5308 | 0.5991 | -0.2093 |
YEARS | 0.4310 | 0.0775 | 5.5586 | 0.0000 | 0.2732 |
SPAN | 0.0128 | 0.1031 | 0.1237 | 0.9023 | -0.1970 |
The appropriate test for this problem is: c. multiple regression
The obtained statistic is: c. 83.01
The associated p value is: d. < .0001
Decision is: a. reject the null
Conclusion is b. Y' = 4.85
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