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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 enough evidence at the 5% significance level to infer that the cholesterol level 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 enough evidence at the 5% significance level to infer that the cholesterol level and the age at death are negatively linearly related? ​ ​
-{Life Expectancy Narrative} Is there enough evidence at the 5% significance level to infer that the cholesterol level and the age at death are negatively linearly related?


Definitions:

Supernatural Forces

Supernatural forces refer to entities or powers that are beyond scientific understanding or the laws of nature, often involved in religious or spiritual belief systems.

Shaman

A person regarded as having access to, and influence in, the world of good and evil spirits, typically among indigenous peoples, who uses trance states, rituals, and healings.

Medicine Man

A medicine man is a traditional healer and spiritual leader in various Indigenous cultures, often using herbal remedies and spiritual practices.

Psychosomatic Complaints

Symptoms of a physical illness or condition that are influenced or aggravated by the mental or emotional state of the person.

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