An Ardent Fan of Television Game Shows Has Observed That

question 65

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:

Max Weber

A German sociologist, economist, and political scientist known for his work on the development of modern Western society and the concept of the "Protestant Ethic."

Consumerism

The tendency to define ourselves in terms of the goods we purchase.

Rationalization

The process of replacing traditional and emotional thought with reason and practicality, often in the context of industry and bureaucracy.

Culture

The shared beliefs, customs, practices, and social behavior of a particular nation or people.