An Ardent Fan of Television Game Shows Has Observed That

question 98

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. $\begin{array}{|c|c|c|r|r|}\hline \text { Contestant } & \begin{array}{c}\text { Years of } \\\text { education }\end{array} & \text { Winnings } & \begin{array}{c}\text { Predicted } \\\text { values }\end{array} & \text { Residuals } \\\hline 1 & 11 & 750 & 754.2 & -4.167 \\\hline 2 & 15 & 400 & 397.5 & 2.500 \\\hline 3 & 12 & 600 & 665.0 & -65.000 \\\hline 4 & 16 & 350 & 308.3 & 41.667 \\\hline 5 & 11 & 800 & 754.2 & 45.833 \\\hline 6 & 16 & 300 & 308.3 & -8.333 \\\hline 7 & 13 & 650 & 575.8 & 74.167 \\\hline 8 & 14 & 400 & 486.7 & -86.667 \\\hline\end{array}$ Plot the residuals against the predicted values. Does the variance appear to be constant?

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Definitions:

Tobacco Smoke

The smoke produced by burning tobacco products, which contains harmful chemicals and carcinogens.

Exposure

The state of being subjected to a harmful substance, environment, or condition.

Arterial Blood Gas

A test that measures the levels of oxygen, carbon dioxide, and other gases in arterial blood, informing on lung function.

Gases

Substances that are in the state of matter which are neither liquid nor solid, expanding freely to fill the available space.