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=−1.606+1.428Xi and the standard error of the estimate is SYX=19.348. 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.     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.    b. Construct a 95​%confidence interval estimate of the population​ slope, β1.

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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=−1.606+1.428Xi and the standard error of the estimate is SYX=19.348.
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.
 
 
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.
 
 b. Construct a 95​%confidence interval estimate of the population​ slope, β1.
 
Using the browser's print option may create an undesirable printout. Use the Print option
Opening Weekend
Box Office Gross
question insteadnenie Gross
Weakerprint-out
Box
in your line Trailer
Views (millions)
57.375
10.787
9.503
6.918
85.085
36.211
19.056
6.277
1.410
45.139
8.109
29.489
1.817
58.253
9.994
13.933
13.161
1.677
1.938
4.389
9.107
9.986
30.382
2.617
4.433
10.588
51.547
4.977
30.326
6.191
15.213
56.477
80.832
($millions)
31.346
2.174
0.831
24.560
104.492
60.554
20.940
14.324
3.868
39.546
20.617
13.897
1.161
146.408
12.834
11.154
0.986
2.324
2.044
1.320
1.546
2.030
100.482
0.817
8.390
9.434
51.091
7.173
19.679
8.890
12.502
40.300
174.751
Online Trailer
Views (millions)
4.613
37.460
0.694
43.037
4.989
6.630
0.942
2.258
11.327
8.966
15.177
13.714
31.231
52.612
16.235
6.884
11.698
2.827
23.075
12.606
0.826
27.536
7.273
3.323
4.267
3.790
7.597
12.912
7.067
5.020
7.739
16.795
7.643
($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:Using the browser's print option may create an undesirable printout. Use the Print option Opening Weekend Box Office Gross question insteadnenie Gross Weakerprint-out Box in your line Trailer Views (millions) 57.375 10.787 9.503 6.918 85.085 36.211 19.056 6.277 1.410 45.139 8.109 29.489 1.817 58.253 9.994 13.933 13.161 1.677 1.938 4.389 9.107 9.986 30.382 2.617 4.433 10.588 51.547 4.977 30.326 6.191 15.213 56.477 80.832 ($millions) 31.346 2.174 0.831 24.560 104.492 60.554 20.940 14.324 3.868 39.546 20.617 13.897 1.161 146.408 12.834 11.154 0.986 2.324 2.044 1.320 1.546 2.030 100.482 0.817 8.390 9.434 51.091 7.173 19.679 8.890 12.502 40.300 174.751 Online Trailer Views (millions) 4.613 37.460 0.694 43.037 4.989 6.630 0.942 2.258 11.327 8.966 15.177 13.714 31.231 52.612 16.235 6.884 11.698 2.827 23.075 12.606 0.826 27.536 7.273 3.323 4.267 3.790 7.597 12.912 7.067 5.020 7.739 16.795 7.643 ($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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