The Data Below Are the Average Monthly Temperatures, In ${ } ^ { \circ } \mathrm { F } ,$

Short Answer

The data below are the average monthly temperatures, in ${ } ^ { \circ } \mathrm { F } ,$ and the monthly natural gas consumption, in ccf,
for a household in northwestern Pennsylvania. Construct a 90% prediction interval for y, the monthly gas
consumption, given x = $50 ^ { \circ } \mathrm { F } \text {. }$ Round interval to two decimal places. $$\begin{array} { l | c c c c c c c c c } \text { Temperature } & 47 & 35 & 21 & 27 & 39 & 48 & 61 & 65 & 70 \\\hline \text { Consumption } & 34 & 169 & 248 & 134 & 137 & 100 & 19 & 34 & 12\end{array}$$