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QUESTION 9 An actuary wanted to develop a model to predict how long individuals will live. After consulting a number of physicians, she collected the
QUESTION 9 An actuary wanted to develop a model to predict how long individuals will live. After consulting a number of physicians, she collected the age at death (y), the average number of hours of exercise per week (x1), the cholesterol level (x2), and the number of points that the individual's blood pressure exceeded the recommended value (x3). A random sample of 40 individuals was selected. The computer output of the multiple regression model is shown below. THE REGRESSION EQUATION IS y = 55.8 + 1.79x1 - 0.021x2 - 0.016x3 Predictor Coef StDev T Constant 55.8 11.8 4.729 X1 1.79 0.44 4.068 X2 -0.021 0.011 -1.909 X3 -0.016 0.014 -1.143 S = 9.47 R-Sq = 22.5% ANALYSIS OF VARIANCE Source of Variation of SS MS F Regression 3 936 312 3.477 Error 36 3230 89.722 Total 39 4166 Is there enough evidence at the 5% significance level to infer that the model is useful in predicting length of life? O a. None of these answers are correct. O b. No O C. There is insufficient information from which to determine the answer. O d. Yes
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