A Statistician Wanted to Determine Whether the Demographic Variables of Age

question 60

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%. $$\begin{array}{l}\text { ANALYSIS OF VARIANCE }\\\begin{array} { | l | c c c c | } \hline \text { Source of Variation } & \text { df } & \text { SS } & \text { MS } & \text { F } \\\hline \text { Regression } & 3 & 227 & 75.667 & 3.730 \\\text { Error } & 21 & 426 & 20.286 & \\\hline \text { Total } & 24 & 653 & & \\\hline\end{array}\end{array}$$ Is there sufficient evidence at the 1% significance level to indicate that hours of television watched and education are negatively linearly related?

Grasp the impact of presentation environment on communication effectiveness.

Comprehend the significance of preparation and practice in delivering successful presentations.

Differentiate between various types of presentations and their specific goals.

Acknowledge the importance of tailoring presentations to the audience's needs and expectations.

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Definitions:

6 Dozen Cases

A quantity term representing 72 (6 times 12) cases of a particular item.

Forestalling

The strategy of addressing potential objections or concerns before they are raised by the prospect.

"Best Buy"

A retail company known for selling consumer electronics and appliances, offering products both in physical stores and online.

Condition of Sale

encompasses the terms and circumstances under which a transaction happens, including payment terms, delivery dates, warranties, and other agreements between seller and buyer.