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; = - 0.844 + 1.396X; and the standard error of the estimate is Syx = 19.555. 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. Click the icon to view the data on online trailer views and opening weekend box office gross. a. At the 0.01 level of significance, is there evidence of a linear relationship between online trailer views and opening weekend box office gross? Determine the hypotheses for the test. Ho: H1 : V 10 (Type integers or decimals. Do not round.) Compute the test statistic. The test statistic is tSTAT =. (Round to two decimal places as needed.) Find the p-value. The p-value is. (Round to three decimal places as needed.) Reach a decision. Ho. There is evidence to conclude that there is a linear relationship between online trailer views and opening weekend box office gross. b. Construct a 99% confidence interval estimate of the population slope, B1 . The confidence interval is SB, s] (Round to three decimal places as needed.)Opening weekend Opening weekend Online Trailer Box Office Gross Online Trailer Box Office Gross Views (millions) ($millions) Views (millions) ($millions) 59.637 34.195 7.995 4.137 11.096 8.058 36.545 61.025 7.697 5.864 1.230 16.172 5.810 26.216 45.396 88.412 86.911 104.317 4.989 4.690 37.463 60.400 6.630 33.377 20.818 18.144 0.942 3.705 7.357 14.718 2.258 1.513 5.124 9.690 11.327 18.470 44.141 36.156 8.966 12.202 10.166 19.743 15.177 4.357 29.968 14.885 13.714 30.436 5.869 1.381 31.231 53.003 58.263 149.775 52.612 46.607 5.889 13.900 16.235 13.003 9.128 7.298 6.884 3.776 12.971 3.302 11.698 18.223 3.030 4.815 2.827 3.471 1.752 0.697 23.075 13.602 7.410 7.164 12.606 40.011 7.816 6.310 0.826 1.385 9.257 4.985 27.536 20.130 32.442 95.956 7.273 3.404 2.053 6.438 3.323 1.207 3.444 10.242 4.267 10.951 6.187 10.256 3.790 8.344 52.022 51.481 7.597 11.614 6.129 3.579 12.912 13.501 32.978 19.492 7.067 5.106 7.077 5.176 5.020 1.985 13.701 12.502 7.739 22.800 58.931 40.300 16.795 13.689 77.238 174.751 7.643 2.080
