A Statistician Wanted to Determine Whether the Demographic Variables of Age

question 34

Essay

A statistician wanted to determine whether the demographic variables of age, education and income influence the number of hours of television watched per week. A random sample of 25 adults was selected to estimate the multiple regression model $y = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 3 } + \varepsilon$ .
Where:
y = number of hours of television watched last week. $x _ { 1 }$ = age. $x _ { 2 }$ = number of years of education. $X _ { 3 }$ = income (in $1000s).
The computer output is shown below.
THE REGRESSION EQUATION IS $y =$ $$22.3 + 0.41 x _ { 1 } - 0.29 x _ { 2 } - 0.12 x _ { 3 }$$ $$\begin{array} { | c | c c c | } \hline \text { Predictor } & \text { Coef } & \text { StDev } & \mathrm { T } \\\hline \text { Constant } & 22.3 & 10.7 & 2.084 \\x _ { 1 } & 0.41 & 0.19 & 2.158 \\x _ { 2 } & - 0.29 & 0.13 & - 2.231 \\x _ { 3 } & - 0.12 & 0.03 & - 4.00 \\\hline\end{array}$$ S = 4.51 R-Sq = 34.8%. $$\begin{array}{l}\text { ANALYSIS OF VARIANCE }\\\begin{array} { | l | c c c c | } \hline \text { Source of Variation } & \text { df } & \text { SS } & \text { MS } & \text { F } \\\hline \text { Regression } & 3 & 227 & 75.667 & 3.730 \\\text { Error } & 21 & 426 & 20.286 & \\\hline \text { Total } & 24 & 653 & & \\\hline\end{array}\end{array}$$ Test the overall validity of the model at the 5% significance level.

Understand how past coping mechanisms influence current patient care strategies.

Identify self-concept components that affect patients' emotional and psychological well-being.

Recognize the significance of body image in patient psychosocial development and care.

Understand sexual health and physiological changes across the lifespan and their implications for care.

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Definitions:

15 to 20 Years

A time period which can refer to an age range, a duration of time for plans, or development phases.

Marital Satisfaction

The degree to which individuals feel content and fulfilled in their marriage or marital relationship.

Teenage Years

The period of life between childhood and adulthood, typically considered to be the ages from 13 to 19, marked by significant physical, psychological, and social changes.

Begins to Increase

Refers to the initial stage at which a quantity starts growing or rising.