An Ardent Fan of Television Game Shows Has Observed That

question 56

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. $$\begin{array} { | c | c | c | } \hline \text { Contestant } & \begin{array} { c } \text { Years of } \\\text { education }\end{array} & \text { Winnings } \\\hline 1 & 11 & 750 \\\hline 2 & 15 & 400 \\\hline 3 & 12 & 600 \\\hline 4 & 16 & 350 \\\hline 5 & 11 & 800 \\\hline 6 & 16 & 300 \\\hline 7 & 13 & 650 \\\hline 8 & 14 & 400 \\\hline\end{array}$$ Predict with 95% confidence the winnings of a contestant who has 10 years of education.

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Definitions:

AND

A logical operator used in programming and mathematics that results in true only if all the operands are true.

Serial Number

A unique identifier assigned to individual items, often used for tracking and inventory purposes.

Time

A constant progression in which events pass from the past through the present to the future.

Currency

A system of money in general use in a particular country or region for the exchange of goods and services.