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

question 73

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 $y =$ $$55.8 + 1.79 x _ { 1 } - 0.021 x _ { 2 } - 0.016 x _ { 3 }$$ $$\begin{array} { | c | c c c | } \hline \text { Predictor } & \text { Coef } & \text { StDev } & \text { T } \\\hline \text { Constant } & 55.8 & 11.8 & 4.729 \\x _ { 1 } & 1.79 & 0.44 & 4.068 \\x _ { 2 } & - 0.021 & 0.011 & - 1.909 \\x _ { 3 } & - 0.016 & 0.014 & - 1.143 \\\hline\end{array}$$ 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?

Understand the hormonal cascade triggered by the hypothalamus that initiates puberty.

Differentiate between the various types of sex (genetic, gonadal, and somatic) in human development.

Comprehend the phases of the ovarian and menstrual cycles and their physiological impacts.

Understand the basic process of human development from conception to adulthood.

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Definitions:

Cognitive Behavioral Therapy

A form of psychotherapy that aims to change patterns of thinking or behavior that are behind people's difficulties.

Solution-Oriented

An approach focused on finding effective and practical solutions to problems rather than dwelling on their causes.

Second Wave

Refers to the second significant phase or period of development, movement, or activity, often implying a resurgence or intensification of elements from an initial wave.

Nuclear Family

A family unit consisting of two parents and their children, living together as a single household.