1. Research question:Can height be used to predict shoe size?

Data were collected from a representative sample of Penn State World Campus students at the beginning of one semester. They were asked for their height (in inches) and shoe size (in US units). These data were used to obtain the following output:

Simple Regression: Shoe Size versus Height

Analysis of Variance

Source	DF	SS	MS	F	p
Regression	1	1114.78	1114.78	692.43	< 0.0001
Error	513	852.90	1.61
Total	514	1940.68

Model Summary

S	R-sq	R-sq (adj)
1.26883	57.44%	56.36%

Coefficients

Term	Coef	SE Coef	t	p
Constant	-14.5619	0.9065	-16.06	< 0.0001
Height	0.35396	0.01345	26.31	< 0.0001

Regression Equation

Shoe Size = -14.5619 + 0.35396 Height

What is the predicted shoe sizeof someone who is 70.8 inches tall? Round your final answer to 3 decimal places.

2. The correlation between scores on two homework assignments is r = 0.539

Compute thecoefficient of determination. Round your final answer to three decimal places.