Life Expectancy Narrative An Actuary Wanted to Develop a Model to Predict How

question 77

Essay

Life Expectancy Narrative
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 ( ), the cholesterol level ( ), and the number of points that the individual's blood pressure exceeded the recommended value ( ). A random sample of 40 individuals was selected. The computer output of the multiple regression model is shown below.
The regression equation is S = 9.47 R-Sq = 22.5%
Analysis of Variance
-Refer to Life Expectancy Narrative. Is there enough evidence at the 1% significance level to infer that the average number of hours of exercise per week and the age at death are linearly related? Justify your conclusion.

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Definitions:

Cognitive Competence

The ability to understand, process, and utilize information effectively.

Social Compensation

The effort to perform at a higher level in social situations where one feels inferior or has experienced rejection, in order to compensate for perceived shortcomings.

Self-Esteem

The perception that an individual has of their self-worth, shaped by their thoughts, emotions, and experiences.

Social Facilitation

The tendency for individuals to perform differently, often better, when in the presence of others than when alone, due to the perceived pressure of an audience or competition.