Table 8.11 shows the age and bone density of 25 women between the ages of 15 and 45 who died between 1729 and 1852 [12]. For a sample of modern-day British women of similar ages, the relationship between bone density and age is statistically significant at the 1 percent level, with an estimated slope of −0.658. Draw a scatter diagram and estimate the model Y = α + βX + ε by least squares.

a. Which variable did you use as the dependent variable? Explain your reasoning.

b. Is the estimated slope statistically significant at the 1 percent level?

c. Compare your results to those reported for modern-day British women.

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Age Bone Density Age Bone Density Age Bone Density 15 104.66 28 88.92 38 111.49 17 90.68 29 108.49 39 88.82 17 105.28 30 84.06 41 93.89 19 98.55 34 85.30 43. 128.99 23 100.52 35 101.66 44 111.39 26 126.60 35 91.41 45 114.60 27 82.09 35 91.30 45 100.10 27 114.29 36 75.78 28 95.24 37 110.46