Question

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

Answer 1

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