Life Expectancy an Actuary Wanted to Develop a Model to Predict

question 4

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 enough evidence at the 5% significance level to infer that the model is useful in predicting length of life?

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Definitions:

Response

The reaction or answer provided following a particular stimulus, inquiry, or situation.

Reinforcement

In the context of behavior, it is the process of encouraging or establishing a pattern of behavior through rewards or consequences.

Stimulus Discrimination

The ability of an individual to differentiate between similar stimuli and respond appropriately to each, often used in marketing to distinguish a brand from its competitors.

Cognitive Dissonance

The mental discomfort experienced by an individual who holds two or more contradictory beliefs, ideas, or values at the same time, leading to alteration in one of the attitudes, beliefs, or behaviors to reduce the discomfort.