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 Y₁ = -1.164 +1.395X; and the standard error of the estimate is Syx = 19.324. 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) and (b) below. Click the icon to view the data on online trailer views and opening weekend box office gross. a. At the 0.05 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. Ho: Bo H₁: B₁ # (Type integers or decimals. Do not round.) Compute the test statistic. The test statistic is tSTAT= (Round to two decimal places as needed.) Find the p-value. The p-value is (Round to three decimal places as needed.) Reach a decision. Do not reject Ho. There is insufficient evidence to conclude that there is a linear relationship between online trailer views and opening weekend box office gross. b. Construct a 95% confidence interval estimate of the population slope, B₁. The confidence interval is SB₁ ≤. (Round to three decimal places as needed.)
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 Y₁ = -1.164 +1.395X; and the standard error of the estimate is Syx = 19.324. 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) and (b) below. Click the icon to view the data on online trailer views and opening weekend box office gross. a. At the 0.05 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. Ho: Bo H₁: B₁ # (Type integers or decimals. Do not round.) Compute the test statistic. The test statistic is tSTAT= (Round to two decimal places as needed.) Find the p-value. The p-value is (Round to three decimal places as needed.) Reach a decision. Do not reject Ho. There is insufficient evidence to conclude that there is a linear relationship between online trailer views and opening weekend box office gross. b. Construct a 95% confidence interval estimate of the population slope, B₁. The confidence interval is SB₁ ≤. (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Trailer Views vs. Opening Weekend Gross
Opening
Weekend Box
Office Gross
($millions)
35.314
6.652
1.487
26.251
103.857
64.223
16.764
8.083
6.832
Online Trailer
Views (millions)
58.717
9.508
8.859
11.132
85.154
32.508
24.302
6.614
3.451
47.857
10.489
30.344
7.395
59.282
9.717
11.519
12.334
0.278
1.782
4.678
3.512
6.488
32.588
1.222
4.814
5.626
51.844
5.439
28.263
9.329
15.244
59.291
81.777
32.301
19.514
11.935
3.529
146.071
11.223
11.636
1.173
2.092
1.245
8.471
4.446
3.398
99.730
3.680
8.110
14.140
47.385
5.874
19.858
6.633
12.502
40.300
174.751
Online Trailer
Views (millions)
3.502
37.966
3.626
43.754
4.989
6.630
0.942
2.258
11.327
8.966
15.177
13.714
31.231
52.612
16.235
6.884
11.698
2.827
23.075
12.606
0.826
27.536
7.273
3.323
4.267
3.790
7.597
12.912
7.067
5.020
7.739
16.795
7.643
Opening
Weekend Box
Office Gross
($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
Transcribed Image Text: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 Y₁ = − 1.164 + 1.395X; and the standard error of the estimate is Syx = 19.324. 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) and (b) below.
Click the icon to view the data on online trailer views and opening weekend box office gross.
a. At the 0.05 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.
Ho:
Bo
H₁: ³₁ #
(Type integers or decimals. Do not round.)
Compute the test statistic.
=
The test statistic is tSTAT
(Round to two decimal places as needed.)
Find the p-value.
=
The p-value is
(Round to three decimal places as needed.)
Reach a decision.
Do not reject Ho. There is insufficient evidence to conclude that there is a linear relationship between online trailer views and opening weekend box office gross.
b. Construct a 95% confidence interval estimate of the population slope, ß₁.
The confidence interval is ≤B₁ ≤
(Round to three decimal places as needed.)
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