An Ardent Fan of Television Game Shows Has Observed That

question 139

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 all contestants who have 10 years of education.

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Definitions:

Liquidity

The simplicity of turning an asset into cash without noticeably impacting its market value.

Payback Period

The duration of time it takes to recoup the initial investment in a project or asset, calculated by dividing the investment amount by the annual cash inflow.

Internal Rate

Often refers to the internal rate of return (IRR), a metric used to estimate the profitability of potential investments.

Net Present Value

A financial metric that calculates the present value of all cash flows associated with a project, considering both inflows and outflows, to assess profitability.