An Ardent Fan of Television Game Shows Has Observed That

question 90

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:

Abstract Reasoning

The ability to analyze information, detect patterns and relationships, and solve problems on a complex, conceptual level.

Emotional Intelligence

The ability to recognize, understand, manage, and reason with emotions in oneself and others.

Crystallized Intelligence

The ability to use learned knowledge and experience effectively.

Fluid Intelligence

The capacity to solve novel problems, reason abstractly, and adapt to new situations, without relying on pre-existing knowledge.