Construct the Indicated Prediction Interval for an Individual Y $\hat { y } = 6.1829 + 4.3394 x$

question 81

Multiple Choice

Construct the indicated prediction interval for an individual y.
-The equation of the regression line for the paired data below is $\hat { y } = 6.1829 + 4.3394 x$ and the standard error of estimate is $\mathrm { se } ^ { = } = 1.6419$ . Find the $99 \%$ prediction interval of $\mathrm { y }$ for $\mathrm { x } = 6$ .
$\begin{array}{r|rrrrrrr}\mathrm{x} & 9 & 7 & 2 & 3 & 4 & 22 & 17 \\\hline \mathrm{y} & 43 & 35 & 16 & 21 & 23 & 102 & 81\end{array}$

• A) \(25.0 < y < 39.4\)
• B) \(25.8 < \mathrm { y } < 43.5\)
• C) \(28.6 < y < 40.7\)
• D) \(32.1 < y < 37.1\)

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Definitions:

Complex Sentences

Sentences that contain one independent clause and at least one dependent clause, expressing more nuanced ideas.

Subordinate Clauses

Clauses that cannot stand alone as complete sentences and are dependent on a main clause to convey a complete thought.

Compound-complex

A sentence type that contains at least two independent clauses and one or more dependent clauses.

Employee Turnover

The rate at which employees leave a company and are replaced by new employees over a certain period.