The Paired Data Below Consists of Heights and Weights of 6

Multiple Choice

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

A) $65.4 < y < 77.6$
B) $56.5 < y < 86.5$
C) $52.1 < y < 90.9$
D) $58.5 <$ y $< 84.5$