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

question 93

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
ŷ = $55.8 + 1.79 x _ { 1 } - 0.021 x _ { 2 } - 0.016 x _ { 3 }$ $$\begin{array} { | c | c c c | } \hline \text { Predictor } & \text { Coef } & \text { StDev } & \mathrm { T } \\\hline \text { Constant } & 55.8 & 11.8 & 4.729 \\x _ { 1 } & 1.79 & 0.44 & 4.068 \\x _ { 2 } & - 0.021 & 0.011 & - 1.909 \\x _ { 3 } & - 0.016 & 0.014 & - 1.143 \\\hline\end{array}$$ se = 9.47 R2 = 22.5%. $$\begin{array}{l}\text { ANALYSIS OF VARIANCE }\\\begin{array} { | l | c c c c | } \hline \text { Source of Variation } & \mathrm { df } & \text { SS } & \text { MS } & \text { F } \\\hline \text { Regression } & 3 & 936 & 312 & 3.477 \\\text { Error } & 36 & 3230 & 89.722 & \\\hline \text { Total } & 39 & 4166 & & \\\hline\end{array}\end{array}$$ Is there enough evidence at the 5% significance level to infer that the number of points by which the individual's blood pressure exceeded the recommended value and the age at death are negatively linearly related?

Grasp the significance of properly managing group norms and their impact on negotiation effectiveness.

Understand the process and challenges involved in building relationships and achieving consensus in negotiations.

Recognize the steps involved in problem-solving and decision-making in multiparty negotiations.

Understand the fundamental components and characteristics of coalitions.

---

Definitions:

Skills And Abilities

The competencies and capabilities that an individual possesses, which enable them to perform tasks effectively.

Résumé

A document summarizing an individual's background, including education, work experience, and skills, used as part of job applications.

Résumé

A resume is a tool individuals use to display their work history, abilities, and achievements, usually with the goal of obtaining a job.

Job Changes

The process of leaving one employment position and starting another, which may involve a change in company, role, or industry.