A Financier Whose Specialty Is Investing in Movie Productions Has

question 32

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. $$\begin{array} { | c | c | c | } \hline \text { Movie } & \begin{array} { c } \text { Cost of two highest- } \\\text { paid performers } ( \$ \mathrm {~m} )\end{array} & \begin{array} { c } \text { Gross revenue } \\( \$ \mathrm {~m} )\end{array} \\\hline 1 & 5.3 & 48 \\\hline 2 & 7.2 & 65 \\\hline 3 & 1.3 & 18 \\\hline 4 & 1.8 & 20 \\\hline 5 & 3.5 & 31 \\\hline 6 & 2.6 & 26 \\\hline 7 & 8.0 & 73 \\\hline 8 & 2.4 & 23 \\\hline 9 & 4.5 & 39 \\\hline 10 & 6.7 & 58 \\\hline\end{array}$$ Conduct a test of the population coefficient of correlation to determine at the 5% significance level whether a linear relationship exists between payment to the two highest-paid performers and gross revenue.

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Definitions:

Real Gross Domestic Product

Measures the value of all final goods and services produced within a country's borders in a given time period, adjusted for inflation, reflecting the actual productivity of an economy.

GDP Price Index

An economic metric that measures the changes in prices of all goods and services included in Gross Domestic Product.

Nominal Gross Domestic Product

Gross Domestic Product measured in current market prices, not adjusted for inflation.

Real Gross Domestic Product

An inflation-adjusted measure that reflects the value of all goods and services produced by an economy in a given year.