An Ardent Fan of Television Game Shows Has Observed That

question 81

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. $$\begin{array} { | c | c | c | } \hline \text { Contestant } & \begin{array} { c } \text { Years of } \\\text { education }\end{array} & \text { Winnings } \\\hline 1 & 11 & 750 \\\hline 2 & 15 & 400 \\\hline 3 & 12 & 600 \\\hline 4 & 16 & 350 \\\hline 5 & 11 & 800 \\\hline 6 & 16 & 300 \\\hline 7 & 13 & 650 \\\hline 8 & 14 & 400 \\\hline\end{array}$$ Use the regression equation to determine the predicted values of y.

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Definitions:

Future Value

The value of an investment or payment at a specified future date, considering interest or growth rates.

Compound Interest

Compound interest is the addition of interest to the principal sum of a loan or deposit, where interest in one period earns interest in subsequent periods.

Usury Laws

State laws that specify the maximum legal interest rate at which loans can be made.

Loanable Funds

Money available for borrowing, which comes from savings that consumers and businesses put into the financial system.