The Manager of a Fast Food Restaurant Wants to Determine

question 74

Essay

The manager of a fast food restaurant wants to determine how sales in a given week are related to the number of discount vouchers (#) printed in the local newspaper during the week. The number of vouchers and sales ($000s) from 10 randomly selected weeks is given below with Excel regression output. $$\begin{array} { | c | c | } \hline \text { Number of vouchers } & \text { Sales } \\\hline 4 & 12.8 \\\hline 7 & 15.4 \\\hline 5 & 13.9 \\\hline 3 & 11.2 \\\hline 19 & 18.7 \\\hline 10 & 17.9 \\\hline 8 & 16.8 \\\hline 6 & 15.9 \\\hline 3 & 11.5 \\\hline 5 & 13.9 \\\hline\end{array}$$ $\begin{array}{|l|c|c|c|c|c|l|}\hline \text { SUMMARY OUTPUT } & \\\hline & \\\hline \text { Regression Statistics } & \\\hline \text { Multiple R } & 0.8524 \\\hline \text { R Square } & 0.7267 \\\hline \text { Adjusted R Square } & 0.6925 \\\hline \text { Standard Error } & 1.4301 \\\hline \text { Observations } & 10 \\\hline & \\\hline \text { ANOvA } & & & & & & \\\hline & d f & S S & M S & F & \text { Significance } F & \\\hline \text { Regression } & 1 & 43.4982 & 43.4982 & 21.2682 & 0.0017 & \\\hline \text { Residual } & 8 & 16.3618 & 2.0452 & & & \\\hline \text { Total } & 9 & 59.8600 & & & & \\\hline\\\hline & \text { Coeficients } & \begin{array}{c}\text { Standard } \\\text { Error }\end{array} & t \text { Stat } & \text { P-value } & \text { Lower } 95 \% & \begin{array}{c}\text { Upper } \\95 \%\end{array} \\\hline \text { Intercept } & 11.5676 & 0.8341 & 13.8679 & 0.0000 & 9.6441 & 13.4912 \\\hline \text { Number of vouchers } & 0.4618 & 0.1001 & 4.6117 & 0.0017 & 0.2309 & 0.6927 \\\hline\end{array}$ Interpret the coefficient of correlation.

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Definitions:

Constitutional Rights

Rights that are granted and protected by a country's constitution, safeguarding personal freedoms and legal entitlements.

Drug Smuggling

The illegal transport of drugs from one location to another, often across international borders, in violation of the law.

Suspected Haven

An area or place that is believed to offer protection or refuge, often used in the context of tax evasion or criminal activities.

Normal Value

An import valuation standard that refers to the price of goods in the domestic market of the exporting country.