A motion picture industry analyst is studying movies based on epic novels. The following data were obtained for 10 Hollywood movies made in the past five years. Each movie was based on an epic novel. For these data, x, the movie, and x, = total book sales prior to movie release. All units are in millions of dollars. first-year box office receipts of the movie, x, total production costs of the movie, x3 = total promotional costs of %D X2 8.5 12.9 Хз X4 85.1 5.1 4.7 106.3 5.8 8.8 50.2 5.2 2.1 15.1 130.6 10.7 8.4 12.2 54.8 3.1 2.9 10.6 30.3 3.5 1.2 3.5 79.4 9.2 3.7 9.7 91.0 9.0 7.6 5.9 135.4 15.1 7.7 20.8 7.9 89.3 10.2 4.5
(g) Suppose a new movie (based on an epic novel) has just been released. Production costs were x2 = 11.4 million; promotion costs were x3 = 4.7 million; book sales were x4 = 8.1 million. Make a prediction for x1 = first-year box office receipts and find an 85% confidence interval for your prediction (if your software supports prediction intervals). (Use 1 decimal place.)
prediction | |
lower limit | |
upper limit |
(h) Construct a new regression model with x3 as the response variable and x1, x2, and x4 as explanatory variables. (Use 2 decimal places.)
x3 = | + x1 | + x2 | + x4 |
Suppose Hollywood is planning a new epic movie with projected box office sales x1 = 100 million and production costs x2 = 12 million. The book on which the movie is based had sales of x4 = 9.2 million. Forecast the dollar amount (in millions) that should be budgeted for promotion costs x3 and find an 80% confidence interval for your prediction.
prediction | |
lower limit | |
upper limit |
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 7 images