Refer to Table 12.14:

a. Create a scatter diagram of the relationships between age (X) and cholesterol

(Y), age (X) and blood sugar (Y), and cholesterol (X) and blood sugar

(Y).

b. Calculate the correlation coefficients (r) between age and cholesterol, age and blood sugar, and cholesterol and blood sugar. Evaluate the significance of the associations at the 0.05 level.

c. Determine the linear regression equations between age (X) and cholesterol

(Y), age (X) and blood sugar (Y), and cholesterol (X) and blood sugar

(Y). For age 93, what are the estimated cholesterol and blood pressure values? What is the 95% confidence interval about these values? Are the slopes obtained for the regression equations statistically significant (at the 0.05 level)? Do these results agree with the significance of the correlations?