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

question 173

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. What is the coefficient of determination? What does this statistic tell you?

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Definitions:

\(10,000(1.01)^{3t}\)

An exponential function representing the growth of an initial quantity where 10,000 is the initial value, 1.01 is the growth factor, and \(3t\) denotes the rate and time variable.

\(1.7^{-x}\)

An expression denoting an inverse exponential function where the base is 1.7 and the exponent is -x.

Three Decimal Places

A numerical expression rounded or precise to three digits to the right of the decimal point.

Graph

A visual representation of data or of a mathematical function on a set of axes.