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

question 31

Multiple Choice

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 $\hat { y } = - 181.342 + 144.46 x$ and the standard error of estimate is $\mathrm { s } _ { \mathrm { e } } = 5.0015$ . Find the $95 \%$ prediction interval for the weight of a person whose height is $1.75 \mathrm {~m}$ .
$\begin{array}{c|rrrrrr}\text { x Height (meters) } & 1.61 & 1.72 & 1.78 & 1.80 & 1.67 & 1.88 \\\hline \text { y Weight }(\mathrm{kg}) & 54 & 62 & 70 & 84 & 61 & 92\end{array}$

• A) \(58.5 < \mathrm { y } < 84.5\)
• B) \(65.4 < y < 77.6\)
• C) \(52.1 < y < 90.9\)
• D) \(56.5 < \mathrm { y } < 86.5\)