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

question 57

Essay

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. $$\begin{array} { | c | c | } \hline \text { Coffee sales revenue } & \text { Temperature } \\\hline 6.50 & 25 \\\hline 10.00 & 17 \\\hline 5.50 & 30 \\\hline 4.50 & 35 \\\hline 3.50 & 40 \\\hline 28.00 & 9 \\\hline\end{array}$$ $\begin{array}{|l|r|c|c|c|r|r|}\hline \text { SUMMARY OUTPUT } & & \\\hline \text { RegressionStatistios } & & \\\hline \text { Multiple R } & 0.8644 & \\\hline \text { RSquare } & 0.7472 & \\\hline \text { Adjusted RSquare } & 0.6840 & \\\hline \text { Standard Error } & 5.2027 & \\\hline \text { Observations } & 6 & \\\hline\\\hline \text { ANOVA } & & & & & & \\\hline & d f & S S & M S & F & \text { Significance } F & \\\hline \text { Regression } & 1 & 320.0617 & 320.0617 & 11.8244 & 0.0263 & \\\hline \text { Residual } & 4 & 108.2716 & 27.0679 & & & \\\hline \text { Total } & 5 & 4283333 & & & & \\\hline\\\hline & \text { Coefficient } & \text { StandardError } &{\text { tStat }} & \text { P-value } & \text { Lover 95\% } & {\text { Upper 95\% }} \\\hline \text { Intercept } & 27.7179 & 5.6629 & 4.8946 & 0.0081 & 11.9952 & 43.4406 \\\hline \text { Temperature } & -0.6943 & 0.2019 & -3.4387 & 0.0263 & -1.2549 & -0.1337 \\\hline\end{array}$ Test the significance of the slope, against a two-tailed alternative, at the 5% level of significance.

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Definitions:

Opiate Drugs

Substances derived from opium or synthetically made to mimic its effects, typically used to relieve pain but also known for their potential for addiction and abuse.

Receptor Sites

Specific locations on cell membranes or within cells where hormones, neurotransmitters, drugs, or other molecules bind to elicit a biological response.

Endorphins

“Morphine within”—natural, opiatelike neurotransmitters linked to pain control and to pleasure.

Axon

A long, slender projection of a nerve cell that conducts electrical impulses away from the neuron's cell body.