The MINITAB output given in Figure 8.37 resulted from fitting the model PCTBF = ????0 + ????1Hip + ????

Use the MINITAB output given in Figure 8.37 to answer the following questions.

(a) What is the equation of the least squares regression line?

(b) What is the estimate of ?????

(c) What is the percentage of the total variation in PCTBF explained by this simple linear regression model?

(d) Test ????0 ∶ ????1 = 0 at the ???? = 0.05 level.

(e) Compute a 95% confidence interval for ????1.

(f) Determine the value of the sample correlation between PCTBF and Hip.

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Coefficients Coef SE Coef T-Value P-Value 5.78 -9.32 0.000 0.7303 0.0577 12.67 0.000 Constant -53.81 Term Hip Model Summary S R-sq R-sq (adj). 6.54455 39.09% 38.84% Analysis of Variance. Source DF Adj SS Adj MS F-Value P-Value Regression 1 6871 6871.21 160.43 0.000 Error 250 10708 42.83 Total 251 17579 Figure 8.37 MINITAB output for the model PCTBF = A + Hip+ in Exercise 8.74. Coefficients Term Coef SE Coef T-Value P-Value Constant. 1.14986 0.00591 194.67 0.000 BMI -0.003712 0.000230 -16.13 0.000 Analysis of Variance. Source DF Adj ss Adj MS F-Value Regression 1 0.04635 0.046352 260.06 P-Value 0.000 Error 250 0.04456 0.000178 Total 251 0.09091