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:

Defense Mechanisms

Methods applied without conscious awareness to safeguard against the unease generated by thoughts or feelings that are not acceptable.

Reaction Formation

is a defense mechanism where an individual unconsciously replaces unacceptable feelings or impulses with their opposites, often seen in behaviors that contradict true feelings.

Convince Others

The process of persuading someone to agree with or believe in a particular point of view or idea.

Made a Good Deal

Achieved a favorable or advantageous agreement or outcome, often in a negotiation or transaction.