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Life Expectancy an Actuary Wanted to Develop a Model to Predict

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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  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 (x<sub>1</sub>),the cholesterol level (x<sub>2</sub>),and the number of points that the individual's blood pressure exceeded the recommended value (x<sub>3</sub>).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 + 1.79x<sub>1</sub>− 0.021x<sub>2</sub>− 0.061x<sub>3</sub>   ​ 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? ​ S = 9.47 ​ R−Sq = 22.5% ANALYSIS OF VARIANCE  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 (x<sub>1</sub>),the cholesterol level (x<sub>2</sub>),and the number of points that the individual's blood pressure exceeded the recommended value (x<sub>3</sub>).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 + 1.79x<sub>1</sub>− 0.021x<sub>2</sub>− 0.061x<sub>3</sub>   ​ 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? ​ ​
-{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:

Equity Method

An accounting technique used by firms to assess the profits earned from their investments in other companies, where the investment's value is adjusted in accordance with the investor's share of the investee's profits or losses.

No Excess Amortizations

Indicates there is no undue or excessive allocation of the cost of an intangible asset over its useful life.

Equity Method

An accounting technique used when an investing company holds significant influence over the investee, reflecting the share of the latter's profit and loss.

Noncontrolling Interest

An ownership interest in a corporation where the share does not grant the holder the majority of voting power, often reflected as a minority stake in subsidiary companies on consolidated financial statements.

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