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:

Population Mean

The population mean is the average value of a population attribute, computed by summing all the values in the population and dividing by the total number of values.

Sample Proportion

The ratio of members in a sample that have a particular characteristic to the total number of members in the sample.

Standard Error

The standard deviation of the sampling distribution of a statistic, especially of the mean.

Sample Mean

The average value calculated from a sample of observations from a larger population.