Question: 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

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. Complete parts (a) through (e) below.

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Part 1

a. Construct a scatter plot. Choose the correct graph below.

A.

01000200TrailerViews(mil)OpeningGross($mil)

A scatter plot has a horizontal axis labeled Trailer Views in millions from 0 to 100 in increments of 10 and a vertical axis labeled Opening Gross in millions of dollars from 0 to 200 in increments of 20. About 60 plotted points follow the general pattern of a line segment that rises from left to right from (1, 1) to (54, 66), before following the general pattern of a line segment that rises from left to right at a sharper rate to (61, 107). The points (79, 143) and (84, 175) are also plotted. All coordinates are approximate.

B.

02000100OpeningGross($mil)TrailerViews(mil)

A scatter plot has a horizontal axis labeled Opening Gross in millions of dollars from 0 to 200 in increments of 20 and a vertical axis labeled Trailer Views in millions from 0 to 100 in increments of 10. About 60 plotted points follow the general pattern of a line segment that rises from left to right from (1, 1) to (66, 54), before following the general pattern of a line segment that rises from left to right at a gentler rate to (107, 61). The points (143, 79) and (175, 84) are also plotted. All coordinates are approximate.

C.

01000200TrailerViews(mil)OpeningGross($mil)

A scatter plot has a horizontal axis labeled Trailer Views in millions from 0 to 100 in increments of 10 and a vertical axis labeled Opening Gross in millions of dollars from 0 to 200 in increments of 20. About 70 plotted points follow the general pattern of a line segment that rises from left to right from (8, 2) to (79, 175). Most points are within 20 vertical units of the overall pattern. All coordinates are approximate.

D.

02000100OpeningGross($mil)TrailerViews(mil)

A scatter plot has a horizontal axis labeled Opening Gross in millions of dollars from 0 to 200 in increments of 20 and a vertical axis labeled Trailer Views in millions from 0 to 100 in increments of 10. About 70 plotted points follow the general pattern of a line segment that rises from left to right from (2, 8) to (175, 79). Most points are within 10 vertical units of the overall pattern. All coordinates are approximate.

Part 2

b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients

b0

and

b1.

b0=enter your response here

b1=enter your response here

(Round the value of

b0

to two decimal places as needed. Round the value of

b1

to three decimal places as needed.)

Part 3

c. Interpret the meaning of the slope,

b1,

in this problem. Select the correct choice below and fill in the answer box to complete your choice.

(Round to three decimal places as needed.)

A.

The approximate predicted opening weekend box office gross when the number of online trailer views is 0 is

$enter your response here

million.

B.

For each increase of 1 million online trailer views, the predicted opening weekend box office gross is expected to increase by

$enter your response here

million.

C.

For each increase in opening weekend box office gross of $1 million, the number of online trailer views is expected to increase by

enter your response here

million.

D.

The approximate online trailer views when the opening weekend box office gross is $0 is

enter your response here

million.

Part 4

d. Predict the mean opening weekend box office gross for a movie that had

51

million online trailer views.

The predicted mean opening weekend box office gross will be

$enter your response here

million.

(Round to two decimal places as needed.)

Part 5

e. What insights can be obtained about predicting opening weekend box office gross from online trailer views?

A.

There is no relationship between the number of online trailer views and the mean opening weekend box office gross.

B.

As the number of online trailer views increases, the mean opening weekend box office gross can be expected to decrease.

C.

As the number of online trailer views increases, the mean opening weekend box office gross can be expected to increase.

D.

As the mean opening weekend box office increases, the number of online trailer views can be expected to decrease.

E.

As the mean opening weekend box office increases, the number of online trailer views can be expected to increase.

Online Trailer Views (millions) Opening Weekend Box Office Gross ($millions) 55.109 31.950 13.320 3.864 7.230 0.542 8.102 21.189 83.775 106.871 35.883 66.013 19.684 18.198 6.915 8.825 1.588 8.064 45.313 35.146 5.384 20.843 29.406 18.569 6.725 1.269 54.453 142.886 8.838 10.006 10.477 10.285 9.395 4.212 2.622 7.541 1.811 1.221 7.606 1.696 7.846 4.458 8.682 3.130 29.307 100.685 2.568 6.369 2.788 15.333 9.539 15.089 53.776 53.518 4.280 6.699 32.616 22.354 4.605 9.758 11.954 9.928 60.838 41.394 79.037 175.498 5.400 2.163 34.482 62.738 1.756 12.791 43.507 86.782 4.989 4.690 6.630 33.377 0.942 3.705 2.258 1.513 11.327 18.470 8.966 12.202 15.177 4.357 13.714 30.436 31.231 53.003 52.612 46.607 16.235 13.003 6.884 3.776 11.698 18.223 2.827 3.471 23.075 13.602 12.606 40.011 0.826 1.385 27.536 20.130 7.273 3.404 3.323 1.207 4.267 10.951 3.790 8.344 7.597 11.614 12.912 13.501 7.067 5.106 5.020 1.985 7.739 22.800 16.795 13.689 7.643 2.080

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