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 isYi=−0.914+1.408Xi and the standard error of the estimate is SYX=19.887. Assume that the​ straight-line model is appropriate and there are no serious violations the assumptions of the​ least-squares regression model.  Compute the test statistic

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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 isYi=−0.914+1.408Xi and the standard error of the estimate is SYX=19.887. Assume that the​ straight-line model is appropriate and there are no serious violations the assumptions of the​ least-squares regression model. 

Compute the test statistic.

Online Trailer
Views (millions)
60.694
9.182
10.550
9.368
81.462
32.875
23.674
5.719
2.553
42.767
10.441
28.707
7.178
59.108
6.700
12.322
12.341
0.296
1.095
3.442
5.251
6.361
29.113
1.763
1.202
9.926
50.938
5.775
31.338
8.928
13.288
59.243
82.236
Opening Weekend
Box Office Gross
($millions)
29.633
6.483
4.854
26.972
107.041
61.957
15.556
8.531
10.932
39.767
16.906
11.872
4.141
146.421
16.050
6.668
3.871
7.997
0.536
0.837
2.422
4.182
102.302
1.063
10.076
11.556
46.441
0.565
19.031
6.205
12.502
40.300
174.751
Online Trailer
Views (millions)
3.765
35.586
0.100
41.537
4.989
6.630
0.942
2.258
11.327
8.966
15.177
13.714
31.231
52.612
16.235
6.884
11.698
2.827
23.075
12.606
0.826
27.536
7.273
3.323
4.267
3.790
7.597
12.912
7.067
5.020
7.739
16.795
7.643
Opening Weekend
Box Office Gross
($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:Online Trailer Views (millions) 60.694 9.182 10.550 9.368 81.462 32.875 23.674 5.719 2.553 42.767 10.441 28.707 7.178 59.108 6.700 12.322 12.341 0.296 1.095 3.442 5.251 6.361 29.113 1.763 1.202 9.926 50.938 5.775 31.338 8.928 13.288 59.243 82.236 Opening Weekend Box Office Gross ($millions) 29.633 6.483 4.854 26.972 107.041 61.957 15.556 8.531 10.932 39.767 16.906 11.872 4.141 146.421 16.050 6.668 3.871 7.997 0.536 0.837 2.422 4.182 102.302 1.063 10.076 11.556 46.441 0.565 19.031 6.205 12.502 40.300 174.751 Online Trailer Views (millions) 3.765 35.586 0.100 41.537 4.989 6.630 0.942 2.258 11.327 8.966 15.177 13.714 31.231 52.612 16.235 6.884 11.698 2.827 23.075 12.606 0.826 27.536 7.273 3.323 4.267 3.790 7.597 12.912 7.067 5.020 7.739 16.795 7.643 Opening Weekend Box Office Gross ($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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