An Ardent Fan of Television Game Shows Has Observed That

question 123

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:

Purpose

The reason for which something is done or created, or for which something exists.

Video Game Addiction

A behavioral disorder characterized by excessive or compulsive use of video games, which interferes with a person's everyday life.

Leisure Time Activities

Activities done for enjoyment or amusement during free time, not associated with one's professional or work obligations.

Gaming Session

A period of time dedicated to playing video games.