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=−1.068+1.394Xi and the standard error of the estimate is SYX=19.412. Assume that the​ straight-line model is appropriate and there are no serious violations the assumptions of the​ least-squares regression model. Significance level at 0.05 . Complete parts​ (a) and​ (b) below.

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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=−1.068+1.394Xi and the standard error of the estimate is SYX=19.412. Assume that the​ straight-line model is appropriate and there are no serious violations the assumptions of the​ least-squares regression model. Significance level at 0.05 . Complete parts​ (a) and​ (b) below. 

a. At the 0.01 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:
H1:
(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.
Ho. There is
evidence to conclude that there is a linear relationship between online trailer views and opening weekend box office gross.
b. Construct a 99% confidence interval estimate of the population slope, B1.
The confidence interval is sB, s
(Round to three decimal places as needed.)
Transcribed Image Text:a. At the 0.01 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: H1: (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. Ho. There is evidence to conclude that there is a linear relationship between online trailer views and opening weekend box office gross. b. Construct a 99% confidence interval estimate of the population slope, B1. The confidence interval is sB, s (Round to three decimal places as needed.)
Opening Weekend
Box Office Gross
(Smillions)
28.939
Opening Weekend
Box Office Gross
Online Trailer
Online Trailer
Views (millions)
Views (millions)
2.913
(Smillions)
4.137
60.571
11.995
8.007
33.942
61.025
12.529
11.138
83.632
34.905
1.346
5.110
16.172
21.120
44.486
88.412
99.445
4.989
4.690
65.405
6.630
0.942
2.258
33.377
19.272
22.402
3.705
3.064
10.396
1.513
6.345
3.486
11.327
18.470
45.962
33.111
8.966
12.202
6.940
16.000
15.177
4.357
29.334
18.906
13.714
30.436
5.978
1.375
31.231
53.003
59.527
145.284
52.612
46.607
7.996
13.857
16.235
13.003
13.081
5.614
6.884
3.776
11.698
2.827
10.999
0.197
18.223
2.092
3.179
5.623
3.471
1.783
23.075
13.602
3.060
1.016
7.820
0.704
12.606
40.011
4.731
0.826
1.385
7.505
27.536
7.273
3.323
20.130
32.483
97.471
3.404
2.626
5.649
1.207
1.504
11.115
4.267
10.951
6.512
14.475
3.790
8.344
50.073
51.062
7.597
11.614
1.173
3.153
12.912
13.501
31.753
19.373
7.067
5.106
9.937
5.060
5.020
1.985
12.608
12.502
7.739
22.800
58.519
40.300
16.795
13.689
80.163
174.751
7.643
2.080
Transcribed Image Text:Opening Weekend Box Office Gross (Smillions) 28.939 Opening Weekend Box Office Gross Online Trailer Online Trailer Views (millions) Views (millions) 2.913 (Smillions) 4.137 60.571 11.995 8.007 33.942 61.025 12.529 11.138 83.632 34.905 1.346 5.110 16.172 21.120 44.486 88.412 99.445 4.989 4.690 65.405 6.630 0.942 2.258 33.377 19.272 22.402 3.705 3.064 10.396 1.513 6.345 3.486 11.327 18.470 45.962 33.111 8.966 12.202 6.940 16.000 15.177 4.357 29.334 18.906 13.714 30.436 5.978 1.375 31.231 53.003 59.527 145.284 52.612 46.607 7.996 13.857 16.235 13.003 13.081 5.614 6.884 3.776 11.698 2.827 10.999 0.197 18.223 2.092 3.179 5.623 3.471 1.783 23.075 13.602 3.060 1.016 7.820 0.704 12.606 40.011 4.731 0.826 1.385 7.505 27.536 7.273 3.323 20.130 32.483 97.471 3.404 2.626 5.649 1.207 1.504 11.115 4.267 10.951 6.512 14.475 3.790 8.344 50.073 51.062 7.597 11.614 1.173 3.153 12.912 13.501 31.753 19.373 7.067 5.106 9.937 5.060 5.020 1.985 12.608 12.502 7.739 22.800 58.519 40.300 16.795 13.689 80.163 174.751 7.643 2.080
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