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=−1.660+1.417Xi and the standard error of the estimate is SYX=19.349. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. 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.HoH,:(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 isevidence 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, B,The confidence interval issB, s(Round to three decimal places as needed.) Opening WeekendBox Office Gross(Smillions)Opening WeekendBox Office Gross(Smillions)Online TrailerOnline TrailerViews (millions)Views (millions)55.18734.5826.1214.13712.0292.70335.49461.0259.1130.0825.00916.1726.08121.10643.02188.41284.072101.0904.9894.69033.73260.2926.63033.37721.70221.9330.9423.7058.4279.9703.7122.2581.5132.77911.32718.47047.70833.9558.96612.2025.29120.37215.1774.35730.43653.00346.60728.25614.66113.7147.4894.39731.23158.364149.56252.6129.19115.92616.23513.00310.2795.4806.8843.77613.7862.15111.69818.2231.8433.7672.8273.4711.3613.63523.07513.6027.3492.86712.60640.0110.82627.5367.2738.9632.0201.3859.5263.52820.13031.41196.0953.4042.6364.2588.57514.1823.3231.20710.9512.7394.2678.6773.7908.34449.72053.2417.59711.6146.8545.85412.91213.50131.92318.3277.0675.1064.5706.9635.0201.98515.88712.5027.73922.80061.33540.30016.79513.68982.429174.7517.6432.080

let β1 be the slope of the regression equation between the given X and Y variable. The appropriate…

Answered: A box office analyst seeks to predict…

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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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=−1.660+1.417Xi and the standard error of the estimate is SYX=19.349. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model.

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
H,:
(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, B,
The confidence interval issB, s
(Round to three decimal places as needed.)

Opening Weekend
Box Office Gross
(Smillions)
Opening Weekend
Box Office Gross
(Smillions)
Online Trailer
Online Trailer
Views (millions)
Views (millions)
55.187
34.582
6.121
4.137
12.029
2.703
35.494
61.025
9.113
0.082
5.009
16.172
6.081
21.106
43.021
88.412
84.072
101.090
4.989
4.690
33.732
60.292
6.630
33.377
21.702
21.933
0.942
3.705
8.427
9.970
3.712
2.258
1.513
2.779
11.327
18.470
47.708
33.955
8.966
12.202
5.291
20.372
15.177
4.357
30.436
53.003
46.607
28.256
14.661
13.714
7.489
4.397
31.231
58.364
149.562
52.612
9.191
15.926
16.235
13.003
10.279
5.480
6.884
3.776
13.786
2.151
11.698
18.223
1.843
3.767
2.827
3.471
1.361
3.635
23.075
13.602
7.349
2.867
12.606
40.011
0.826
27.536
7.273
8.963
2.020
1.385
9.526
3.528
20.130
31.411
96.095
3.404
2.636
4.258
8.575
14.182
3.323
1.207
10.951
2.739
4.267
8.677
3.790
8.344
49.720
53.241
7.597
11.614
6.854
5.854
12.912
13.501
31.923
18.327
7.067
5.106
4.570
6.963
5.020
1.985
15.887
12.502
7.739
22.800
61.335
40.300
16.795
13.689
82.429
174.751
7.643
2.080

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