Question

The American Community Survey is a survey that uses U.S. census data to compile information on various characteristics of the U.S. population. Here are statistics that I would like you to analyze from a sample of states. The independent variable (x-variable) is the percent of the state population living below the poverty level. The dependent variable (y-variable) is the state infant mortality rate in deaths per 1000 births. The data is displayed in the following table: State: Percent of Population living below poverty level Infant Mortality Rate Deaths per 1000 Births Vermont 11.5 5.12 New Jersey 10.2 5.35 Georgia 19.1 8.02 Kentucky 19.1 7.04 Iowa 12.8 5.43 Kansas 13.8 7.50 Colorado 13.5 6.04 New Mexico 21.5 5.81 Arizona 19.0 6.54 California 16.6 5.12 Oregon 17.5 5.41 North Dakota 12.2 6.44 Ohio 16.4 7.74 Maine 14.1 6.04 Mississippi 22.6 10.16 Arkansas 19.5 7.89 Louisiana 20.4 9.38 Wisconsin 13.1 6.57 Connecticut 10.9 6.27 Wyoming 11.3 7.05

How much of the variation in state mortality rates can be explained by the linear model which uses “poverty rate” data as a predictor? a. 33% b. 57.4% c. 55.8% d. 78% e. 62%

Answer 1

How much of the variation in state mortality rates can be explained by the linear model which uses “poverty rate” data as a predictor?

a. 33%

State:	Percent of Population living below poverty level	Infant Mortality Rate Deaths per 1000 Births
Vermont	11.5	5.12
New Jersey	10.2	5.35
Georgia	19.1	8.02
Kentucky	19.1	7.04
Iowa	12.8	5.43
Kansas	13.8	7.5
Colorado	13.5	6.04
New Mexico	21.5	5.81
Arizona	19	6.54
California	16.6	5.12
Oregon	17.5	5.41
North Dakota	12.2	6.44
Ohio	16.4	7.74
Maine	14.1	6.04
Mississippi	22.6	10.16
Arkansas	19.5	7.89
Louisiana	20.4	9.38
Wisconsin	13.1	6.57
Connecticut	10.9	6.27
Wyoming	11.3	7.05
	r²	0.330
	r	0.574
	Std. Error	1.162
	n	20
	k	1
	Dep. Var.	Infant Mortality Rate Deaths per 1000 Births
ANOVA table
Source	SS	df	MS	F	p-value
Regression	11.9605	1	11.9605	8.85	.0081
Residual	24.3200	18	1.3511
Total	36.2805	19
Regression output				confidence interval
variables	coefficients	std. error	t (df=18)	p-value	95% lower	95% upper
Intercept	3.5184
Percent of Population living below poverty level	0.2049	0.0689	2.975	.0081	0.0602	0.3495

Please give me a thumbs-up if this helps you out. Thank you!