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A company that holds the DVD distribution rights to movies previously released in theaters has the business objective of developing estimates of the sales revenue

A company that holds the DVD distribution rights to movies previously released in theaters has the business objective of developing estimates of the sales revenue of DVDs. Toward this goal, a company analyst plans to use box office gross to predict DVD sales revenue. For 38 movies, the analyst collects the box office gross (in $Millions) in the year that they were released and the DVD revenue (in $Millions) in the following year

A) What is the correlation coefficient (r) between box office gross and DVD sales revenue? Is the correlation statistically significant at 5% and 1% levels of significance?

B). Run a regression analysis to help the analyst estimate DVD sales revenue from past year's box office gross. Have this output ready before you start the exam. You will be asked about the model's predictive power, interpretation of the regression coefficient, and use it in prediction

Title 2013 Gross ($M) 2014 DVD Revenue ($M)
The Hunger Games: Catching Fire 407.140 54.925
Despicable Me 2 367.957 34.813
Frozen 296.692 185.483
Man of Steel 291.046 29.803
Gravity 255.622 24.350
Fast and Furious 6 238.680 11.446
The Hobbit: The Desolation of Smaug 229.060 34.679
Thor: The Dark World 203.449 27.323
World War Z 202.360 7.287
The Heat 159.582 6.842
The Wolverine 132.557 9.909
Cloudy with a Chance of Meatballs 2 117.614 20.962
Lee Daniels' The Butler 116.294 24.208
Captain Phillips 104.835 17.344
Jackass Presents: Bad Grandpa 101.625 12.768
Disney Planes 90.283 10.879
The Lone Ranger 89.290 9.432
American Hustle 87.923 8.628
The Best Man Holiday 70.493 14.121
Percy Jackson: Sea of Monsters 68.518 12.014
The Wolf of Wall Street 63.125 16.115
Last Vegas 63.112 8.999
Ender's Game 61.657 12.975
Saving Mr. Banks 58.958 13.939
Free Birds 54.895 13.002
RED 2 53.263 7.401
Tyler Perry's A Madea Christmas 50.227 10.425
The Secret Life of Walter Mitty 45.471 7.934
Riddick 42.025 13.241
The Hobbit: An Unexpected Journey 39.169 8.056
12 Years a Slave 38.472 15.233
Walking with Dinosaurs 31.344 7.529
Escape Plan 25.064 9.111
The Book Thief 19.092 9.133
About Time 15.324 7.281
The Wizard of Oz 5.509 5.538
Pitch Perfect 0.345 10.019
Lone Survivor 0.327 22.784

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