Movie companies need to predict the gross receipts of an individual movie once the movie has debuted. The following results (stored in Potter Movies) are the first weekend gross, the U.S. gross, and the worldwide gross (in $mil-lions) 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 Title Sorcerer's Stone 90.295 317.558 976.458 Chamber of Secrets 88.357 261.988 878.988 Prisoner of Azkaban Goblet of Fire 102.335 290.013 896.013 Order of the Weekend Gross Gross 93.687 249.539 795.539 77.108 292.005 938.469 Phoenix Half-Blood Prince 77.836 301.460 934.601 Deathly Hallows: 125.017 295.00 955.417 Part I Deathly Hallows: 169.189 381.001 1,328.11 Part II