A Financier Whose Specialty Is Investing in Movie Productions Has

question 195

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. $$\begin{array} { | c | c | c | } \hline \text { Movie } & \begin{array} { c } \text { Cost of two highest- } \\\text { paid performers } ( \$ \mathrm {~m} )\end{array} & \begin{array} { c } \text { Gross revenue } \\( \$ \mathrm {~m} )\end{array} \\\hline 1 & 5.3 & 48 \\\hline 2 & 7.2 & 65 \\\hline 3 & 1.3 & 18 \\\hline 4 & 1.8 & 20 \\\hline 5 & 3.5 & 31 \\\hline 6 & 2.6 & 26 \\\hline 7 & 8.0 & 73 \\\hline 8 & 2.4 & 23 \\\hline 9 & 4.5 & 39 \\\hline 10 & 6.7 & 58 \\\hline\end{array}$$ Predict with 95% confidence the gross revenue of a movie whose top two stars earn $5.0 million.

Understand basic operators and their functionalities in scripting languages.

Recognize the importance of comments in scripts for maintainability.

Distinguish between different data types in scripting languages.

Develop troubleshooting and perspective-changing strategies for script modification.

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Definitions:

Sample Z-score

A measure indicating the number of standard deviations a data point is from the mean of its sample.

Standard Deviation

A gauge for assessing the extent of scatter among numbers in a group.

Boxplot

A graphical representation of data points that displays the distribution's quartiles, median, and potential outliers.

Five-Number Summary

A concise statistical summary comprising the minimum, first quartile, median, third quartile, and maximum of a data set.