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Construct the Indicated Prediction Interval for an Individual Y y^=181.342+144.46x\hat { y } = - 181.342 + 144.46 x

question 31

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Construct the indicated prediction interval for an individual y.
-The paired data below consists of heights and weights of 6 randomly selected adults. The equation of the regression line is y^=181.342+144.46x\hat { y } = - 181.342 + 144.46 x and the standard error of estimate is se=5.0015\mathrm { s } _ { \mathrm { e } } = 5.0015 . Find the 95%95 \% prediction interval for the weight of a person whose height is 1.75 m1.75 \mathrm {~m} .
 x Height (meters)  1.611.721.781.801.671.88 y Weight (kg) 546270846192\begin{array}{c|rrrrrr}\text { x Height (meters) } & 1.61 & 1.72 & 1.78 & 1.80 & 1.67 & 1.88 \\\hline \text { y Weight }(\mathrm{kg}) & 54 & 62 & 70 & 84 & 61 & 92\end{array}


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