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Construct the Indicated Prediction Interval for an Individual Y y^=44.845+3.524x\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 y^=44.845+3.524x\hat { \mathrm { y } } = 44.845 + 3.524 \mathrm { x } and the standard error of estimate is se =5.40= 5.40 . Find the 99%99 \% prediction interval for the test score of a person who spent 7 hours preparing for the test.
 x Hours of preparation 529610y Test score 6448727380\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}

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