(Solved) 1) Plot four different regression graphs (X v Y):

1) Plot four different regression graphs (X v Y): Tomatometer v Audience, Budget v Gross, Budget v Tomatometer, Audience v Gross and find the best-fit line equation and correlation coefficient (r-value) for each one. X represents the independent variable and Y represents the dependent variable.

2) Use the r-value and Table I (pg. 797 of your textbook) to determine if your best-fit lines are significant at 0.05 significant level. (use 18 degrees of freedom here)

3) Calculate and interpret two 95% confidence intervals to estimate the true mean Budget value. The first will assume normality and use a z-interval; the second will assume a t-interval.

A) Using regression, does it appear that critics and audience members agree on what a movie should be rated? Why or why not?

B) Does it appear that large budgets lead to high-grossing movies? That is, are larger budgets associated with higher grossing movies? Why or why not?

C) Does it appear that movie critics like high-budget movies? In other words, is there a relationship between higher ratings and higher budgets? Why or why not?

D) Are higher ratings by audience members associated with higher gross amounts earned by the movie? Why or why not?

Using this info

 Movie (Year) Tomatometer Score (%) Audience Rating (%) Budget (million \$) Worldwide Gross (million \$) American Beauty (1999) 88 93 15 356 American Psycho (2000) 67 85 7 34 Battlefield Earth (2000) 3 11 73 30 Cast Away (2000) 90 83 90 430 Cruel Intentions (1999) 49 81 10.5 76 End of Days (1999) 11 33 100 212 Fight Club (1999) 79 96 63 101 For Love of the Game (1999) 46 76 80 46 Gladiator (2000) 76 87 103 458 How the Grinch Stole Christmas (2000) 53 55 123 345 Matrix, The (1999) 87 85 63 463.5 Memento (2000) 92 94 9 40 Pay it Forward (2000) 40 77 40 56 Sixth Sense (1999) 85 89 40 673 Snatch (2000) 73 93 10 84 Snow Falling on Cedars (1999) 40 68 35 23 Star Wars : Episode I (1999) 56 60 115 1027 The Beach (2000) 19 57 50 144 Wild Wild West (1999) 17 28 170 222

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