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

question 48

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. $$\begin{array} { l | c c c c c c c c c } \text { Temperature } & 47 & 35 & 21 & 27 & 39 & 48 & 61 & 65 & 70 \\\hline \text { Consumption } & 34 & 169 & 248 & 134 & 137 & 100 & 19 & 34 & 12\end{array}$$

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Definitions:

Tax

Mandatory financial charge imposed by a government on individuals, companies, or transactions to fund public expenditures.

Consumer Surplus

The difference between what consumers are willing to pay for a good or service and what they actually pay, indicating economic benefit.

Tax

Compulsory financial charges or other types of levies imposed upon a taxpayer by a governmental organization in order to fund government spending and various public expenditures.

Producer Surplus

The difference between what producers are willing to accept for a good or service and the higher price they actually receive, representing the benefit to producers.