Movie companies need to predict the gross receipts of individual movies once a movie has debuted. The data, shown in the next column and stored in Potter Movies , are the first weekend gross, the U. S. gross, and the worldwide gross ( in $ millions) of the eight Harry Potter movies:

a. Compute the covariance between first weekend gross and U. S. gross, first weekend gross and worldwide gross, and U. S. gross and worldwide gross.

b. Compute the coefficient of correlation between first weekend gross and U. S. gross, first weekend gross and worldwide gross, and U. S. gross and worldwide gross.

c. Which do you think is more valuable in expressing the relationship between first weekend gross, U. S. gross, and world-wide gross€” the covariance or the coefficient of correlation? ­Explain.
d. Based on ( a) and ( b), what conclusions can you reach about the relationship between first weekend gross, U. S. gross, and worldwide gross?

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First Weekend Gross U.S Worldwide Gross Title Sorcerer's Stone Chamber of Secrets Prisoner of Azkahan Goblet of Fire Order of the Phoenir Haif-Blood Prince Deat hly Hallows Part1 125017 295.00 955.417 Deathly Hallows Part 2 169.189 381.011 1328.111 0295 317.558 976.458 88.357 261.988 878.988 93.687 249539 795.539 02.335 290,013 896.013 77.108 292.005 938.469 77.836 301.460 934.601