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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
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 ofthe 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 Yi = 0.125 +1.340Xi and the standard error of the estimate is SYX = 19.935. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the leastsquares 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. (E 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. . HERE (Type integers or decimals. Do not round.) Compute the test statistic. The test statistic is tSTAT = D. (Round to two decimal places as needed.) Find the p-value. The p-value is D. (Round to three decimal places as needed.) Reach a decision. 7 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 ofonline 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 Yi = 0.125 + 'l.340)(i and the standard error of the estimate is SYX =19.935. Assume that the straightline model is appropriate and there are no serious violations the assumptions of the leastsquares regression model. Complete part (a) and (b) below. @ Click the icon to view the data on online trailer views and opening weekend box office gross. (E \\'JI" ""'\\:I"' " """"""' ' """"""'1 Compute the test statistic. The test statistic is tSTA-I- = D. (Round to two decimal places as needed.) Find the pvalue. The p-value is D. (Round to three decimal places as needed.) Reach a decision. |:| H0. There is El 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, [31 . The confidence interval is El 5 [31 S D. (Round to three decimal places as needed.) - X Trailer Views vs. Opening Weekend Gross Opening Weekend Opening Weekend Online Trailer Box Office Gross Online Trailer Box Office Gross Views (millions) ($millions) Views (millions) ($millions) 60.403 32.159 2.937 4.137 13.457 8.421 37.760 61.025 9.729 5.561 2.218 16.172 6.116 23.802 44.573 88.412 86.656 99.661 4.989 4.690 34.676 60.278 6.630 33.377 22.141 15.578 0.942 3.705 7.255 12.857 2.258 1.513 5.209 3.242 11.327 18.470 47.071 33.530 8.966 12.202 7.726 20.598 15.177 4.357 30.002 15.505 13.714 30.436 5.841 0.769 31.231 53.003 57.286 145.317 52.612 46.607 4.702 10.948 16.235 13.003 9.116 9.758 6.884 3.776 8.981 0.081 11.698 18.223 1.355 3.634 2.827 3.471 1.852 1.681 23.075 13.602 3.414 1.011 12.606 40.011 7.146 7.438 0.826 1.385 7.815 5.378 27.536 20.130 29.644 98.294 7.273 3.404 0.615 0.490 3.323 1.207 LAAT Print Done
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