Movie companies need to predict the gross receipts of individual movies after a movie has debuted. The following results, listed in PotterMovies, are the first weekend gross, the U.S. gross, and the worldwide gross (in millions of dollars) of the six Harry Potter movies that debuted from 2001 to 2009:

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 worldwide 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 Title Sorcerer s Stone Chamber of Secrets 88.357 261.988 878.988 Prisoner of Azkaban 93.687 9.5 795.539 Goblet of Fire Order of the Gross 90.295 317.558 976.458 102.335 290.013 896.013 77.108 292.005 938.469 Phoenix Half-Blood Prince 77.836 30.460 934.601