13.73 Can you use Twitter activity to forecast box office receipts on the opening weekend? The following data (stored in b. Interpret the meaning of by and by in this problem. c. Predict the mean receipts for a movie that has a Twitter activity TwitterMovies ) indicate the Twitter activity ("want to see") and of 100,000. the receipts ($) per theater on the weekend a movie opened for d. Should you use the model to predict the receipts for a movie seven movies: that has a Twitter activity of 1,000.000? Why or why not? e. Determine the coefficient of determination, ", and explain its Twitter meaning in this problem. Movie Activity Receipts ($) f. Perform a residual analysis. Is there any evidence of a pattern The Devil Inside 219.509 14.763 in the residuals? Explain. The Dictator 6.405 5.796 g. At the 0.05 level of significance, is there evidence of a linear Paranormal Activity 3 165.128 15,829 relationship between Twitter activity and receipts? The Hunger Games 579.288 36.871 h. Construct a 95% confidence interval estimate of the mean Bridesmaids 6.564 8.995 receipts for a movie that has a Twitter activity of 100,000 and Red Tails 11.104 7.477 a 95 prediction interval of the receipts for a single movie that Act of Valor 9.152 8.054 has a Twitter activity of 100,000. i. Based on the results of (a)-(h). do you think that Twitter activ- Source: R. Dodes, "Twitter Goes to the Movies," The ity is a useful predictor of receipts on the first weekend a movie Wall Street Journal. August 3, 2012. pp. DI-D12. opens? What issues about these data might make you hesitant to use Twitter activity to predict receipts? 3. Use the least-squares method to compute the regression cooffi- cients by and by