An Actuary Wanted to Develop a Model to Predict How $x _ { 1 }$

question 1

Essay

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 ( $x _ { 1 }$ ), the cholesterol level ( $x _ { 2 }$ ), and the number of points by which the individual's blood pressure exceeded the recommended value ( $x _ { 3 }$ ). A random sample of 40 individuals was selected. The computer output of the multiple regression model is shown below:
THE REGRESSION EQUATION IS $y=$ $$55.8 + 1.79 x _ { 1 } - 0.021 x _ { 2 } - 0.016 x _ { 3 }$$ $$\begin{array} { | c | c c c | } \hline \text { Predictor } & \text { Coef } & \text { StDev } & \mathrm { T } \\\hline \text { Constant } & 55.8 & 11.8 & 4.729 \\x _ { 1 } & 1.79 & 0.44 & 4.068 \\x _ { 2 } & - 0.021 & 0.011 & - 1.909 \\x _ { 3 } & - 0.016 & 0.014 & - 1.143 \\\hline\end{array}$$ S = 9.47 R-Sq = 22.5%. $$\begin{array}{l}\text { ANALYSIS OF VARIANCE }\\\begin{array} { | l | c c c c | } \hline \text { Source of Variation } & \text { df } & \text { SS } & \text { MS } & \text { F } \\\hline \text { Regression } & 3 & 936 & 312 & 3.477 \\\text { Error } & 36 & 3230 & 89.722 & \\\hline \text { Total } & 39 & 4166 & & \\\hline\end{array}\end{array}$$ 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?

Comprehend the structure and purpose of the Federal Rules of Civil Procedure.

Identify the roles of attorneys and paralegals in client interviews and legal practice.

Understand the concept of jurisdiction in federal district courts.

Identify the parts of a legal document submitted to a court.

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Definitions:

Survey

A research method that involves collecting data from a predefined group of respondents to gain information and insights on various subjects.

Public Relations Campaign

A strategic communication process that builds mutually beneficial relationships between organizations and their publics.

Developing Strategy

The process of outlining and implementing plans to achieve specific organizational objectives and goals.

Analytical Data

Data that has been processed or analyzed to provide insights and support decision-making, often used in scientific research, business analysis, and technology applications.