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Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be

Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be the predictor (x) variable. Find the best predicted amount that a movie will gross if its budget is $120 million. Use a significance level of

=0.05.

Budget($)inMillions

41

18

111

67

75

55

124

69

7

60

130

18

5

148

11

Gross($)

inMillions

115

21

110

63

118

126

104

104

58

100

209

36

15

298

38

The critical values of the Pearson correlation coefficient r.

n

=0.05

=0.01

NOTE: To test

H0:

=0

against

H1:

0,

reject

H0

if the absolute value of r is greater than the critical value in the table.

4

0.950

0.990

5

0.878

0.959

6

0.811

0.917

7

0.754

0.875

8

0.707

0.834

9

0.666

0.798

10

0.632

0.765

11

0.602

0.735

12

0.576

0.708

13

0.553

0.684

14

0.532

0.661

15

0.514

0.641

16

0.497

0.623

17

0.482

0.606

18

0.468

0.590

19

0.456

0.575

20

0.444

0.561

25

0.396

0.505

30

0.361

0.463

35

0.335

0.430

40

0.312

0.402

45

0.294

0.378

50

0.279

0.361

60

0.254

0.330

70

0.236

0.305

80

0.220

0.286

90

0.207

0.269

100

0.196

0.256

n

=0.05

=0.01

QUESTIONS:

1. The regression equation is y=________+ __________x. (Round to one decimal place as needed.)

2. The best predicted gross for a movie with a $120 million budget is $ __________ million. (Round to one decimal place as needed.)

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