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Pop-Up Coffee Vendors Have Been Popular in the City of Adelaide

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Pop-up coffee vendors have been popular in the city of Adelaide in 2013. A vendor is interested in knowing how temperature (in degrees Celsius) impacts daily hot coffee sales revenue (in $00's).
A random sample of 6 days was taken, with the daily hot coffee sales revenue and the corresponding temperature of that day noted. Excel regression output given below.  Coffee sales revenue  Temperature 6.502510.00175.50304.50353.504028.009\begin{array}{|c|c|}\hline \text { Coffee sales revenue } & \text { Temperature } \\\hline 6.50 & 25 \\\hline 10.00 & 17 \\\hline 5.50 & 30 \\\hline 4.50 & 35 \\\hline 3.50 & 40 \\\hline 28.00 & 9 \\\hline\end{array}
 Pop-up coffee vendors have been popular in the city of Adelaide in 2013. A vendor is interested in knowing how temperature (in degrees Celsius) impacts daily hot coffee sales revenue (in $00's). A random sample of 6 days was taken, with the daily hot coffee sales revenue and the corresponding temperature of that day noted. Excel regression output given below.  \begin{array}{|c|c|} \hline \text { Coffee sales revenue } & \text { Temperature } \\ \hline 6.50 & 25 \\ \hline 10.00 & 17 \\ \hline 5.50 & 30 \\ \hline 4.50 & 35 \\ \hline 3.50 & 40 \\ \hline 28.00 & 9 \\ \hline \end{array}    (a) Estimate daily hot coffee sales revenue on a day of 38 degrees Celsius. (b) Is your prediction in part (a) reasonable? (a) Estimate daily hot coffee sales revenue on a day of 38 degrees Celsius.
(b) Is your prediction in part (a) reasonable?


Definitions:

Work Effort

A term used to quantify the amount of physical or mental exertion put forth by employees or workers in the production of goods or services.

Incentive Compatibility

A concept in mechanism design that ensures the strategies that maximize participants' payoffs also lead to outcomes desired by the mechanism's designer.

Consumers Budget Constraint

A consumer's budget constraint represents the combination of goods and services they can afford with their income and prices.

Adverse Selection

A situation in economic theory where information asymmetry results in high-risk individuals being more likely to apply for insurance or credit, potentially leading to market failure.

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