An Ardent Fan of Television Game Shows Has Observed That

question 127

Essay

An ardent fan of television game shows has observed that, in general, the more educated the contestant, the less money he or she wins. To test her belief, she gathers data about the last eight winners of her favourite game show. She records their winnings in dollars and their years of education. The results are as follows. $$\begin{array} { | c | c | c | } \hline \text { Contestant } & \begin{array} { c } \text { Years of } \\\text { education }\end{array} & \text { Winnings } \\\hline 1 & 11 & 750 \\\hline 2 & 15 & 400 \\\hline 3 & 12 & 600 \\\hline 4 & 16 & 350 \\\hline 5 & 11 & 800 \\\hline 6 & 16 & 300 \\\hline 7 & 13 & 650 \\\hline 8 & 14 & 400 \\\hline\end{array}$$ Draw a scatter diagram of the data to determine whether a linear model appears to be appropriate.

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Definitions:

Local Business

A company that provides goods or services to a local population. It's often characterized by having a physical presence in a community.

Net Income

The total profit of a company after all expenses, taxes, and costs have been deducted from total revenues.

Mortgage Interest

Interest paid on a loan secured by a mortgage on a home, often tax-deductible under certain conditions.

Home Business

A business operated from the residence of the owner, leveraging the flexibility to manage personal and professional life.