An Ardent Fan of Television Game Shows Has Observed That

question 37

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. $$\begin{array} { | c | c | c | } \hline \text { Contestant } & \begin{array} { c } \text { Years of } \\\text { education }\end{array} & \text { Winnings } \\\hline 1 & 11 & 750 \\\hline 2 & 15 & 400 \\\hline 3 & 12 & 600 \\\hline 4 & 16 & 350 \\\hline 5 & 11 & 800 \\\hline 6 & 16 & 300 \\\hline 7 & 13 & 650 \\\hline 8 & 14 & 400 \\\hline\end{array}$$ Determine the coefficient of determination and discuss what its value tells you about the two variables.

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Definitions:

Peaches

Peaches refer to a juicy, soft fruit with a fuzzy skin, or the tree that bears this fruit.

Comparative Advantage

The ability of an individual, company, or country to produce a good or service at a lower opportunity cost than competitors.

Opportunity Cost

The cost of foregone alternatives when a decision is made, representing the benefits that could have been gained by choosing the next best alternative.

Labor-intensive

Refers to a type of industry or process that requires a large amount of human labor to produce goods or services, as opposed to being heavily automated.