A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor. For each of the 66 movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross (in millions of dollars) are collected and stored in the accompanying table. The least-squares regression equation for these data is Yi=−1.213+1.417Xiand the standard error of the estimate is SYX=19.599. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. Complete parts: a. At the 0.10 level of significance, is there evidence of a linear relationship between online trailer views and opening weekend box office gross? Determine the hypotheses for the test. b. Construct a 95% confidence interval estimate of the population slope, β1. c. Construct a 99% confidence interval estimate of the population slope, β1.
A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor. For each of the 66 movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross (in millions of dollars) are collected and stored in the accompanying table. The least-squares regression equation for these data is Yi=−1.213+1.417Xiand the standard error of the estimate is SYX=19.599. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. Complete parts: a. At the 0.10 level of significance, is there evidence of a linear relationship between online trailer views and opening weekend box office gross? Determine the hypotheses for the test. b. Construct a 95% confidence interval estimate of the population slope, β1. c. Construct a 99% confidence interval estimate of the population slope, β1.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Question
A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor. For each of the 66 movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross (in millions of dollars) are collected and stored in the accompanying table. The least-squares regression equation for these data is Yi=−1.213+1.417Xiand the standard error of the estimate is SYX=19.599. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. Complete parts:
a. At the 0.10 level of significance, is there evidence of a linear relationship between online trailer views and opening weekend box office gross?
Determine the hypotheses for the test.
b. Construct a 95% confidence interval estimate of the population slope,
β1.
c. Construct a 99% confidence interval estimate of the population slope,
β1.
Transcribed Image Text:Online Trailer
Views (millions)
56.950
10.496
10.907
9.458
81.291
33.792
24.717
8.399
4.932
43.881
10.738
28.653
3.675
58.414
7.182
11.695
10.670
3.237
0.743
7.071
4.454
8.219
29.016
1.769
0.049
10.661
54.132
5.662
30.045
6.102
14.868
60.119
81.958
Opening Weekend
Box Office Gross
($millions)
29.712
6.675
1.296
21.120
99.789
66.365
20.957
14.095
5.780
34.856
21.300
16.469
4.912
150.295
15.360
9.609
5.162
4.985
0.124
7.083
0.185
1.695
101.136
3.885
11.596
15.321
53.712
2.107
21.622
6.841
12.502
40.300
174.751
Online Trailer
Views (millions)
8.385
37.640
2.963
46.791
4.989
6.630
0.942
2.258
11.327
8.966
15.177
13.714
31.231
52.612
16.235
6.884
11.698
2.827
23.075
12.606
0.826
27.536
7.273
3.323
4.267
3.790
7.597
12.912
7.067
5.020
7.739
16.795
7.643
Opening Weekend
Box Office Gross
($millions)
4.137
61.025
16.172
88.412
4.690
33.377
3.705
1.513
18.470
12.202
4.357
30.436
53.003
46.607
13.003
3.776
18.223
3.471
13.602
40.011
1.385
20.130
3.404
1.207
10.951
8.344
11.614
13.501
5.106
1.985
22.800
13.689
2.080
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