The Paired Data Below Consists of Test Scores and Hours $\hat{\mathrm { y }} = 44.845 + 3.524 \mathrm { x }$

question 126

Multiple Choice

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.
$\begin{array}{c|rrrrr}x \text { Hours of preparation } & 5 & 2 & 9 & 6 & 10 \\\hline \mathrm{y} \text { Test score } & 64 & 48 & 72 & 73 & 80\end{array}$

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

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Definitions:

DM

Direct Message; a private form of communication between social media users.

Justification

The action of showing something to be right or reasonable, providing support or evidence for beliefs or actions.

Simp

A slang term, often derogatory, used to describe someone who is overly sympathetic or attentive towards someone else, typically without reciprocation.

Conj

In context to logic, it signifies the operation of combining two or more propositions with an "and" connector to form a more complex statement.