A Financier Whose Specialty Is Investing in Movie Productions Has

question 122

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. $$\begin{array} { | c | c | c | } \hline \text { Movie } & \begin{array} { c } \text { Cost of two highest- } \\\text { paid performers } ( \$ \mathrm {~m} )\end{array} & \begin{array} { c } \text { Gross revenue } \\( \$ \mathrm {~m} )\end{array} \\\hline 1 & 5.3 & 48 \\\hline 2 & 7.2 & 65 \\\hline 3 & 1.3 & 18 \\\hline 4 & 1.8 & 20 \\\hline 5 & 3.5 & 31 \\\hline 6 & 2.6 & 26 \\\hline 7 & 8.0 & 73 \\\hline 8 & 2.4 & 23 \\\hline 9 & 4.5 & 39 \\\hline 10 & 6.7 & 58 \\\hline\end{array}$$ Draw a scatter diagram of the data to determine whether a linear model appears to be appropriate.

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Definitions:

Soap Micelle

Spherical aggregates formed by soap molecules in aqueous solution, where the hydrophobic tails are sequestered inwards and the hydrophilic heads face outward.

Exterior Surface

The outermost boundary or layer of an object, material, or geometrical space that is exposed to the environment or another medium.

Hydrophilic

Describes molecules or substances that have a strong affinity for water, often because of the presence of polar groups.

Surface Carboxylate Groups

Functional groups on a solid surface where a carbon atom is double-bonded to an oxygen atom and single-bonded to another oxygen atom that is in turn bonded to a metal or hydrogen, typically present on surfaces for chemical reactivity.