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:
Title | First Weekend | U.S. Gross | Worldwide Gross |
Sorcerer’s Stone | 90.295 | 317.558 | 976.458 |
Chamber of Secrets | 88.357 | 261.988 | 878.988 |
Prisoner of Azkaban | 93.687 | 249.539 | 795.539 |
Goblet of Fire | 102.335 | 290.013 | 896.013 |
Order of the Phoenix | 77.108 | 292.005 | 938.469 |
Half-Blood Prince | 77.836 | 301.460 | 934.601 |
Source: Data extracted from www.the-numbers.com/interactive/comp-Harry-Potter.php.
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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