Weekend 1 2 3 4 5 6 U.S. Box Office Gross (in millions of $) 32.18 15.33 9.78 8.15 7.19 2.36 a. Determine the exponential regression equation that models the U.S. Box Office Gross (in millions), G, in terms of the number of weekends since it has been released, t. Write it in Q form here (round numbers to four decimal places): b. Determine the decay rate. Report your answer as a percentage, rounded to two decimals. c. According to your model, what is the predicted U.S. box office gross sales in week 8? Report your answer in millions, rounded to two decimals.
Below are the U.S. box office gross sales for the first 6 weekends of the release of the movie Dolittle. (Source: https://www.boxofficemojo.com)
|
Weekend |
1 |
2 |
3 |
4 |
5 |
6 |
|
U.S. Box Office Gross (in millions of $) |
32.18 |
15.33 |
9.78 |
8.15 |
7.19 |
2.36 |
a. Determine the exponential regression equation that models the U.S. Box Office Gross (in millions), G, in terms of the number of weekends since it has been released, t. Write it in Q form here (round numbers to four decimal places):
b. Determine the decay rate. Report your answer as a percentage, rounded to two decimals.
c. According to your model, what is the predicted U.S. box office gross sales in week 8? Report your answer in millions, rounded to two decimals.
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