Answer Happy

A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor. For each of the 66 movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross (in millions of dollars) are collected and stored in the accompanying table. The least-squares regression equation for these data is Y; - = - 1.191 + 1.402X; and the standard error of the estimate is Syx = 19.763. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. Complete parts (a) and (b) below. =

Online Trailer Views (millions) 58.443 13.381 9.470 5.913 83.180 35.733 19.969 3.386 3.851 44.847 7.417 25.549 6.229 56.543 6.676 11.633 12.593 0.333 0.974 4.704 8.909 8.636 32.637 0.529 Opening Weekend Box Office Gross ($millions) 32.224 6.087 0.410 26.202 102.134 59.766 16.951 12.142 7.063 33.873 18.764 13.421 0.591 148.557 8.721 9.163 0.028 2.640 0.932 4.048 0.691 0.721 96.413 0.165 Online Trailer Views (millions) 7.939 36.946 0.057 42.083 4.989 6.630 0.942 2.258 11.327 8.966 .177 13.714 31.231 52.612 16.235 6.884 11.698 2.827 23.075 12.606 0.826 27.536 7.273 3.323 Opening Weekend Box Office Gross ($millions) 4.137 61.025 16.172 88.412 4.690 33.377 3.705 1.513 18.470 12.202 4.357 30.436 53.003 46.607 13.003 3.776 18.223 3.471 13.602 40.011 1.385 20.130 3.404 1.207

32.637 0.529 0.951 7.426 53.699 5.055 29.293 8.793 12.109 59.547 80.402 96.413 0.165 11.943 10.387 50.985 5.755 15.570 7.970 12.502 40.300 174.751 7.273 3.323 4.267 3.790 7.597 12.912 7.067 5.020 7.739 16.795 7.643 3.404 1.207 10.951 8.344 11.614 13.501 5.106 1.985 22.800 13.689 2.080

Determine the hypotheses for the test. Ho: B2 = = 0 Hy: B1 # 0 (Type integers or decimals. Do not round.) Compute the test statistic. = The test statistic is tstat = 11.14. (Round to two decimal places as needed.) Find the p-value. The p-value is 0.000. (Round to three decimal places as needed.) Reach a decision. Reject Ho. There is sufficient evidence to conclude that there is a linear relationship between online trailer views and opening weekend box office gross. b. Construct a 95% confidence interval estimate of the population slope, B1. The confidence interval is 1.210 =B1 = 1.300 (Round to three decimal places as needed.)