Forecasting movie revenues with Twitter. Refer to the IEEE International Conference on Web Intelligence and Intelligent Agent Technology (2010) study of how social media (e.g., Twitter.com) may influence the products consumers buy, Exercise 11.36

(p. 631). Recall that opening weekend box office revenue (in millions of dollars) and tweet rate (average number of tweets referring to the movie per hour) were collected for a sample of 24 recent movies. The data are reproduced in the table. Use simple linear regression to find a 90%

prediction interval for the revenue (y) of a movie with a tweet rate (x) of 150 tweets per hour. Give a practical interpretation of the interval.

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Tweet Rate Revenue (millions) 1365.8 142 1212.8 77 581.5 61 310.1 32 455 31 290 30 250 21 680.5 18 150 18 164.5 17 113.9 16 144.5 15 418 14 98 14 100.8 12 115.4 11 74.4 10 87.5 9 127.6 9 52.2 144.1 41.3 9 8 2 2.75 0.3