Construct the Indicated Prediction Interval for an Individual Y $\hat { \mathrm { y } } = 44.845 + 3.524 \mathrm { x }$

question 22

Multiple Choice

Construct the indicated prediction interval for an individual y.
-The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is $\hat { \mathrm { y } } = 44.845 + 3.524 \mathrm { x }$ and the standard error of estimate is se $= 5.40$ . Find the $99 \%$ prediction interval for the test score of a person who spent 7 hours preparing for the test.
$\begin{array}{c|rrrrr}\text { x Hours of preparation } & 5 & 2 & 9 & 6 & 10 \\\hline \mathrm{y} \text { Test score } & 64 & 48 & 72 & 73 & 80\end{array}$

• A) \(32 < y < 107\)
• B) \(58 < y < 82\)
• C) \(62 < y < 78\)
• D) \(35 < y < 104\)

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Definitions:

Major Organic Product

The predominant product formed in a chemical reaction involving organic compounds, often favored by conditions or controlled by mechanisms.

Reasonable Mechanism

A scientifically plausible explanation detailing the steps and interactions leading to the formation of products in a chemical reaction.

Di-sec-Butyl Ether

An ether compound formed by the dehydration reaction between two sec-butyl alcohol molecules, used as a solvent and chemical intermediate.

Butan-2-ol

An alcohol with the chemical formula C4H10O, characterized by having its hydroxyl group (-OH) on the second carbon of a four-carbon chain.