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 six Harry Potter movies that debuted from 2001 to 2009:

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

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First Weekend US. Gross Gross Worldwide Title Sorcerer's Stone Chamber of Secrets Prisoner of 90.295 317.558 976.458 878.988 93.687 249.539 795.539 88.357 261.988 Azkaban Goblet of Fire Order of the 102.335 290.013 896.013 77.108 292.005 938.469 Phoenix Half-Blood Prince 77.836 301460 934.601