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The Equation of the Regression Line for the Paired Data y^=6.1829+4.3394x\hat { y } = 6.1829 + 4.3394 \mathrm { x }

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The equation of the regression line for the paired data below is y^=6.1829+4.3394x\hat { y } = 6.1829 + 4.3394 \mathrm { x } and the standard error of estimate is see=1.6419\mathrm { se } _ { \mathrm { e } } = 1.6419 . Find the 99%99 \% prediction interval of y\mathrm { y } for x=12\mathrm { x } = 12 .
x972342217y433516212310281\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}


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