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Demographic Variables and TV Narrative
A statistician wanted to determine if 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: , where y is the number of hours of television watched last week,
is the age (in years),
is the number of years of education, and
is income (in $1000s). The computer output is shown below.
The regression equation is
S = 4.51 R-Sq = 34.8%
Analysis of Variance
-Refer to Demographic Variables and TV Narrative. Is there sufficient evidence at the 1% significance level to indicate that hours of television watched and education are negatively linearly related? Justify your conclusion.
Biconditional
A logical statement where both parts must be true or false together; often expressed as "if and only if."
Self-Contradictions
Statements or propositions that are inherently inconsistent with themselves, meaning they cannot both be true in the same context or under the same conditions.
Main Components
The principal or most important parts that make up a system, machine, or composition.
Biconditional
A logical statement combining two conditions where each implies the other; written as "if and only if."
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