Serum cholesterol levels (y) and age in years (x) were recorded for several men in a medical center. Cholesterol levels were measured in milligrams per deciliter. The following MINITAB output describes the fit of a linear model to these data. Assume that the assumptions of the linear model are satisfied.

a. What are the slope and intercept of the least-squares regression line?

b. Can you conclude that age is useful in predicting cholesterol levels? Answer this question using the α = 0.05 level of significance.

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The regression equation is Cholesterol = 162.15 + 1.2499 Age Predictor Coef SE Coef T P Constant 162.15 16.439 9.863 0.000 Age 1.2499 0.38708 3.772 0.007