Solutions Statistics

You are interested in better understanding the roots of poverty. The output presented below represen

Question: You are interested in better understanding the roots of poverty. The output presented below represents data on poverty levels and education levels from all 50 states. In this model, POVERTY (percent of people in the state who live below the poverty line) is regressed on PCTHS (percent of adults in the state who have a high school diploma). PCTHS is centered at 80 percent (i.e., 80 was subtracted from each states original PCTHS score). (20 pts)

Model Summary
Model	R	R square	Adjusted R square	Std. Error of the Estimate
1	0.7735	0.5983	0.590	2.745
a. Predictors: (Constant), pcths80

ANOVA^b
Model	Sum of Squares	df	Mean Square	F	Sig.
Regression (SSR)	538.744	1	538.744	71.5	.000^a
Residual (SSE)	361.664	48	7.535
Total (SST)	900.408	49
a. Predictors: (Constant), pcths80
b. Dependent Variable: pct poverty

Coefficients^a
Model	Unstandardized Coefficients		Standardized Coefficients	t	Sig.	95% Confidence Interval for B
Model	B	Std. Error	Beta	t	Sig.	Lower Bound	Upper Bound
1 (Constant)	11.829	0.466		25.359	0.000	10.891	12.767
pcths80	-0.589	0.070	-0.744	-8.414	0.000	-0.7297	-0.4483