Life Expectancy an Actuary Wanted to Develop a Model to Predict

question 29

Essay

Life Expectancy 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 ( x ₁), the cholesterol level ( x ₂), and the number of points that the individual's blood pressure exceeded the recommended value ( x ₃). 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 + 1.79 x ₁ - 0.021 x ₂ - 0.061 x ₃ S = 9.47 R - Sq = 22.5% {Life Expectancy Narrative} Is there sufficient evidence at the 5% significance level to infer that the number of points that the individual's blood pressure exceeded the recommended value and the age at death are negatively linearly related?

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Definitions:

Disjunctive Task

A type of group task that is solved best by the most capable member of the group, where the group's performance is determined by its strongest link.

Group Performance

The level of achievement or productivity of a team or group working together on shared goals.

Conjunctive Task

is a group task that can only be completed successfully if each member of the team performs their part; the group's performance is thus limited by the weakest link.

Group Performance

The effectiveness and efficiency of a group in achieving its goals, often evaluated through collective output, creativity, and collaborative effort.