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The Regression Equation for the Given Paired Data Is y^=73.012+0.8859x\hat { y } = 73.012 + 0.8859 \mathrm { x }

question 61

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The regression equation for the given paired data is y^=73.012+0.8859x\hat { y } = 73.012 + 0.8859 \mathrm { x } and the standard error of estimate is se=2.78807\mathrm { s } _ { \mathrm { e } } = 2.78807 . Find the 95%95 \% prediction interval of y\mathrm { y } for x=37\mathrm { x } = 37 .
x252636364048y9595102109110114\begin{array}{r|rrrrrr}\mathrm{x} & 25 & 26 & 36 & 36 & 40 & 48 \\\hline \mathrm{y} & 95 & 95 & 102 & 109 & 110 & 114\end{array}

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