An Ardent Fan of Television Game Shows Has Observed That

question 43

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. $$\begin{array} { | c | c | c | } \hline \text { Contestant } & \begin{array} { c } \text { Years of } \\\text { education }\end{array} & \text { Winnings } \\\hline 1 & 11 & 750 \\\hline 2 & 15 & 400 \\\hline 3 & 12 & 600 \\\hline 4 & 16 & 350 \\\hline 5 & 11 & 800 \\\hline 6 & 16 & 300 \\\hline 7 & 13 & 650 \\\hline 8 & 14 & 400 \\\hline\end{array}$$ Calculate the Pearson correlation coefficient. What sign does it have? Why?

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Definitions:

Complex Tasks

Duties or assignments that involve multiple steps, require high levels of cognitive processing, and are difficult to execute.

Creative Energies

The intellectual and imaginative capacities that individuals or groups bring to problem-solving, innovation, and artistic creation.

Foolish Questions

Questions that might seem to lack understanding, insight, or relevance, but can sometimes lead to unexpected insights and creative solutions.

Logic

Logic is the systematic study of the form of valid inference, reasoning, and principles of correct reasoning.