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:

Customer Database

A collection of information about customers, including contact details and purchase history, used by businesses for marketing and service improvement.

Demographics

Statistical data relating to the population and the particular groups within it, used especially to identify consumer markets.

Transactions

Financial exchanges or transfers of goods, services, or information between two or more parties.

Traffic Generation

The outcome of a direct marketing offer designed to motivate people to visit a business.