An Ardent Fan of Television Game Shows Has Observed That

question 50

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:

Effective Interest Rate

Represents the real cost of borrowing or the real yield on an investment, accounting for compounding periods within a year.

Annual Payments

Regular payments made once per year towards the principal and/or interest of a loan or financial obligation.

Nominal Rate

The interest rate stated on a loan or investment agreement, not accounting for inflation or compounding effects.

Semi-Annual Payments

Payments made twice a year, often used in the context of loan repayments or bond interest payments.