An Ardent Fan of Television Game Shows Has Observed That

question 145

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:

Non-REM Sleep

A phase of sleep characterized by slower brain waves and reduced eye movement, distinct from REM (Rapid Eye Movement) sleep.

Rapid Eye Movement

A phase of sleep characterized by quick, random movements of the eyes, associated with vivid dreaming and increased brain activity.

Narcolepsy

A disorder involving sudden and unpredictable daytime attacks of sleepiness or lapses into REM sleep.

Sleepiness

Sleepiness is the state of feeling drowsy or tired, often leading to a decreased ability to remain awake and alert.