THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 177

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
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:
= 55.8 + 1.79x₁ - 0.021x₂ - 0.016x₃

S = 9.47 R-Sq = 22.5%
ANALYSIS OF VARIANCE

-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?

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Definitions:

Inflation

The rate at which the general level of prices for goods and services is rising, eroding purchasing power.

Consumer Price Index

A measure that examines the weighted average of prices of a basket of consumer goods and services, such as transportation, food, and medical care, used to estimate cost of living changes.

Market Basket

A selected group of goods and services used to track inflation and other economic indicators through price changes.

Base Year

A specific year against which economic growth is measured, serving as a standard point of comparison for real economic calculations such as GDP.