Life Expectancy an Actuary Wanted to Develop a Model to Predict

question 45

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 (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− 0.061x₃ ​ S = 9.47 ​ R−Sq = 22.5% ANALYSIS OF VARIANCE ​ ​
-{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:

Csikszentmihalyi

Csikszentmihalyi is a psychologist best known for his concept of flow, a mental state of deep immersion and engagement in activities.

Flow

A psychological state in which a person is fully immersed and engaged in an activity, leading to enjoyment and a sense of involvement and achievement.

Flow

A psychological state where an individual is fully immersed and focused on the activity they are performing, often leading to a sense of enjoyment and fulfillment.

Human Factors Psychologists

Psychologists who study how people interact with machines and environments to improve technology, equipment, and workspaces.