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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}    Test the significance of the slope, against a two-tailed alternative, at the 5% level of significance. Test the significance of the slope, against a two-tailed alternative, at the 5% level of significance.


Definitions:

Large-Fiber Activity

Large-Fiber Activity refers to the actions or responses of large-diameter nerve fibers, which are typically involved in the transmission of touch and proprioceptive information.

Spinal Cord

The major column of nerve tissue that is connected to the brain and lies within the vertebral canal and from which the spinal nerves emerge.

Metal Belt Buckle

A device usually made of metal that fastens together the two ends of a belt or strap.

Cold and Pressure Spots

Sensory receptors in the skin that detect changes in temperature and pressure, contributing to the senses of touch and thermal perception.

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