12.31 Armspan and Height II In Exercise 12.17 (data set EX1217), we measured the armspan and height of eight people with the following results:

a. Does the data provide sufficient evidence to indicate that there is a linear relationship between armspan and height? Test at the 5% level of significance.

b. Construct a 95% confidence interval for the slope of the line of means, .

c. If Leonardo da Vinci is correct, and a person's armspan is roughly the same as the person's height, the slope of the regression line is approximately equal to 1. Is this supposition confirmed by the confidence interval constructed in part b? Explain.

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Person Armspan (cm) 1 2 3 4 5 6 7 8 172.7 158.1 165.1 176.5 172.7 175.3 157.5 153.0 Height (cm) 175.3 157.5 165.1 177.8 170.2 170.2 160.0 157.5