A Financier Whose Specialty Is Investing in Movie Productions Has

question 47

Essay

A financier whose specialty is investing in movie productions has observed that, in general, movies with 'big-name' stars seem to generate more revenue than those movies whose stars are less well known. To examine his belief, he records the gross revenue and the payment (in $ million) given to the two highest-paid performers in the movie for 10 recently released movies. $$\begin{array} { | c | c | c | } \hline \text { Movie } & \begin{array} { c } \text { Cost of two highest- } \\\text { paid performers } ( \$ \mathrm {~m} )\end{array} & \begin{array} { c } \text { Gross revenue } \\( \$ \mathrm {~m} )\end{array} \\\hline 1 & 5.3 & 48 \\\hline 2 & 7.2 & 65 \\\hline 3 & 1.3 & 18 \\\hline 4 & 1.8 & 20 \\\hline 5 & 3.5 & 31 \\\hline 6 & 2.6 & 26 \\\hline 7 & 8.0 & 73 \\\hline 8 & 2.4 & 23 \\\hline 9 & 4.5 & 39 \\\hline 10 & 6.7 & 58 \\\hline\end{array}$$ Assume that the conditions for the tests conducted in the previous two questions are not met. Do the data allow us to infer at the 5% significance level that payment to the two highest-paid performers and gross revenue are linearly related?

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Definitions:

Money Markets

Financial markets for short-term borrowing and lending, typically dealing with assets that mature in less than one year.

Trillions

A numerical value representing one thousand billion, or 10^12, used in the context of large sums, such as government budgets or the global economy.

Brokers' Call Rate

The interest rate charged by banks to brokers for the money borrowed to fund their clients' margin accounts.

Margin Account

Margin Account is a brokerage account which allows investors to borrow money to buy securities, using the purchased securities as collateral for the loan.