An Ardent Fan of Television Game Shows Has Observed That

question 132

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. $$\begin{array} { | c | c | c | } \hline \text { Contestant } & \begin{array} { c } \text { Years of } \\\text { education }\end{array} & \text { Winnings } \\\hline 1 & 11 & 750 \\\hline 2 & 15 & 400 \\\hline 3 & 12 & 600 \\\hline 4 & 16 & 350 \\\hline 5 & 11 & 800 \\\hline 6 & 16 & 300 \\\hline 7 & 13 & 650 \\\hline 8 & 14 & 400 \\\hline\end{array}$$ Compute the standardised residuals.

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Definitions:

Savings

The portion of income that is not spent on consumption or taxes, typically put aside for future use or investments.

Disposable Income

Income available for spending and saving after income taxes have been accounted for.

C + I

An economic formula representing consumer spending (C) plus investment spending (I), components of a country's GDP calculation.

Disposable Income

Households' financial resources for expenditure and savings following income tax deductions.