Movie	Twitter Activity	Receipts
The Devil Inside	219509	14763
The Dictator	6405	5796
Paranormal Activity 3	165128	15829
The Hunger Games	579288	36871
Bridesmaids	6564	8995
Red Tails	11104	7477
Act of Valor	9152	8054

13.73 Can you use Twitter activity to forecast box office receipts on the opening weekend? The following data (stored in Twitter Movies indicate the Twitter activity ("want to see") and the receipts ($) per theater on the weekend a movie opened for seven movies: Movie The Devil Inside The Dictator Paranormal Activity 3 The Hunger Games Bridesmaids Red Tails Act of Valor Twitter Activity 219,509 6,40S 165,128 579.288 6.564 11.104 9,152 Receipts ($) 14.763 5.796 15,829 36,871 8,995 7,477 054 b. Interpret the meaning of by and b, in this problem. c. Predict the mean receipts for a movie that has a Twitter activity of 100,000 d. Should you use the model to predict the receipts for a movie that has a Twitter activity of 1,000,000? Why or why not? e. Determine the coefficient of determination, and explain its meaning in this problem. f. Perform a residual analysis. Is there any evidence of a pattern in the residuals? Explain. g. At the 0.05 level of significance, is there evidence of a linear relationship between Twitter activity and receipts? h. Construct a 95% confidence interval estimate of the mean receipts for a movie that has a Twitter activity of 100,000 and a 95% prediction interval of the receipts for a single movie that has a Twitter activity of 100,000. i. Based on the results of (a)-(h), do you think that Twitter activ- ity is a useful predictor of receipts on the first weekend a movie opens? What issues about these data might make you hesitant to use Twitter activity to predict receipts? Source: R. Dodes, Twitter Goes to the Movies." The Wall Street Journal, August 3, 2012. pp. DI-D12. 2. Use the least-squares method to compute the regression coeffi- cients by and b