Movie companies need to predict the gross receipts of an individual movie once the movie has debuted. The following results (stored in PotterMovies ) are the first weekend gross, the U. S. gross, and the worldwide gross (in $ millions) of the eight Harry Potter movies that debuted from 2001 to 2011:

a. 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.
b. At the 0.05 level of significance, is there a significant linear relationship between first weekend gross and U. S. gross, first weekend gross and worldwide gross, and U. S. gross and worldwide gross?

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U.S. Worldwide First Weekend Gross Title Gruss 90.295 317.558 976.458 88.357 261.988 878988 102.335 290.013 896.013 Sorcerer's Stone Chamber of Secrets Prisoner of Akaban 93687 249.539 795.539 Goblet of Fire Order of the Phoenix 77.108 292.005 938469 Half-Blood Prince Deathly Hallows Part I 125.017 295.001 955417 Deathly Hallows Part I 169.189 381.001 1.328.11 77.836 301.460 934.601