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:

Dendrite

The branched extensions of a neuron that receive signals from other neurons and transmit them toward the cell body.

Axon

An extended, thin part of a neuron responsible for carrying electrical impulses outward from the neuron's main cell body.

Cell Body

The central part of a neuron containing the nucleus and responsible for maintaining the life of the cell.

Hippocampus

A major component of the human brain involved in memory formation and spatial navigation, located in the medial temporal lobe.