Question

City Code	% Under 21	# of Fatals
1	16	3.822
2	7	0
3	5	0.46
4	10	2.033
5	14	2.282
6	10	0.621
7	12	1.511
8	12	1.824
9	13	1.209
10	11	2.034
11	8	1.321
12	14	2.468
13	14	2.455
14	18	3.787
15	16	3.508
16	10	1.113
17	7	1.144
18	15	3.084
19	18	4.16
20	16	3.688
21	8	0.782
22	9	1.307
23	14	2.016
24	13	3.542
25	13	3.137
26	16	3.832
27	11	1.187
28	10	2.168
29	7	2.241
30	11	1.02
31	9	0.548
32	9	0.396

10. What is the estimated increase in number of fatal accidents per 1000 licenses due to a 1% increase in the percentage of drivers under 21 (ie. the slope)?

11. What is the standard deviation of the estimated slope?

12. What is the estimated number of fatal accidents per 1000 licenses if there were no drivers under the age of 21 (ie. the intercept)?

13. What percentage of the variation in accident fatalities can be explained by the linear relationship with drivers under 21 (ie. 100 times the unadjusted coefficient of determination = 100 R²)?

Answer 1

10. 0.2951

11. 0.0342

12. -1.4456

13. 71.2%

	r²	0.712
	r	0.844
	Std. Error	0.653
	n	32
	k	1
	Dep. Var.	# of Fatals
ANOVA table
Source	SS	df	MS	F	p-value
Regression	31.6995	1	31.6995	74.30	1.29E-09
Residual	12.7992	30	0.4266
Total	44.4988	31
Regression output				confidence interval
variables	coefficients	std. error	t (df=30)	p-value	95% lower	95% upper
Intercept	-1.4456
% Under 21	0.2951	0.0342	8.620	1.29E-09	0.2252	0.3650