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(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.



4) Finally do a write-up on your results including your regression graphs, your confidence intervals and hypothesis test, and answers to the following questions using your graphs:



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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