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...


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 Yi=−1.660+1.417Xi and the standard error of the estimate is SYX=19.349. Assume that the​ straight-line model is appropriate and there are no serious violations the assumptions of the​ least-squares regression model.


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?<br>Determine the hypotheses for the test.<br>Ho<br>H,:<br>(Type integers or decimals. Do not round.)<br>Compute the test statistic.<br>The test statistic is tsTAT =<br>(Round to two decimal places as needed.)<br>Find the p-value.<br>The p-value is<br>(Round to three decimal places as needed.)<br>Reach a decision.<br>Ho. There is<br>evidence to conclude that there is a linear relationship between online trailer views and opening weekend box office gross.<br>b. Construct a 99% confidence interval estimate of the population slope, B,<br>The confidence interval issB, s<br>(Round to three decimal places as needed.)<br>

Extracted text: 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 H,: (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, B, The confidence interval issB, s (Round to three decimal places as needed.)
Opening Weekend<br>Box Office Gross<br>(Smillions)<br>Opening Weekend<br>Box Office Gross<br>(Smillions)<br>Online Trailer<br>Online Trailer<br>Views (millions)<br>Views (millions)<br>55.187<br>34.582<br>6.121<br>4.137<br>12.029<br>2.703<br>35.494<br>61.025<br>9.113<br>0.082<br>5.009<br>16.172<br>6.081<br>21.106<br>43.021<br>88.412<br>84.072<br>101.090<br>4.989<br>4.690<br>33.732<br>60.292<br>6.630<br>33.377<br>21.702<br>21.933<br>0.942<br>3.705<br>8.427<br>9.970<br>3.712<br>2.258<br>1.513<br>2.779<br>11.327<br>18.470<br>47.708<br>33.955<br>8.966<br>12.202<br>5.291<br>20.372<br>15.177<br>4.357<br>30.436<br>53.003<br>46.607<br>28.256<br>14.661<br>13.714<br>7.489<br>4.397<br>31.231<br>58.364<br>149.562<br>52.612<br>9.191<br>15.926<br>16.235<br>13.003<br>10.279<br>5.480<br>6.884<br>3.776<br>13.786<br>2.151<br>11.698<br>18.223<br>1.843<br>3.767<br>2.827<br>3.471<br>1.361<br>3.635<br>23.075<br>13.602<br>7.349<br>2.867<br>12.606<br>40.011<br>0.826<br>27.536<br>7.273<br>8.963<br>2.020<br>1.385<br>9.526<br>3.528<br>20.130<br>31.411<br>96.095<br>3.404<br>2.636<br>4.258<br>8.575<br>14.182<br>3.323<br>1.207<br>10.951<br>2.739<br>4.267<br>8.677<br>3.790<br>8.344<br>49.720<br>53.241<br>7.597<br>11.614<br>6.854<br>5.854<br>12.912<br>13.501<br>31.923<br>18.327<br>7.067<br>5.106<br>4.570<br>6.963<br>5.020<br>1.985<br>15.887<br>12.502<br>7.739<br>22.800<br>61.335<br>40.300<br>16.795<br>13.689<br>82.429<br>174.751<br>7.643<br>2.080<br>

Extracted text: Opening Weekend Box Office Gross (Smillions) Opening Weekend Box Office Gross (Smillions) Online Trailer Online Trailer Views (millions) Views (millions) 55.187 34.582 6.121 4.137 12.029 2.703 35.494 61.025 9.113 0.082 5.009 16.172 6.081 21.106 43.021 88.412 84.072 101.090 4.989 4.690 33.732 60.292 6.630 33.377 21.702 21.933 0.942 3.705 8.427 9.970 3.712 2.258 1.513 2.779 11.327 18.470 47.708 33.955 8.966 12.202 5.291 20.372 15.177 4.357 30.436 53.003 46.607 28.256 14.661 13.714 7.489 4.397 31.231 58.364 149.562 52.612 9.191 15.926 16.235 13.003 10.279 5.480 6.884 3.776 13.786 2.151 11.698 18.223 1.843 3.767 2.827 3.471 1.361 3.635 23.075 13.602 7.349 2.867 12.606 40.011 0.826 27.536 7.273 8.963 2.020 1.385 9.526 3.528 20.130 31.411 96.095 3.404 2.636 4.258 8.575 14.182 3.323 1.207 10.951 2.739 4.267 8.677 3.790 8.344 49.720 53.241 7.597 11.614 6.854 5.854 12.912 13.501 31.923 18.327 7.067 5.106 4.570 6.963 5.020 1.985 15.887 12.502 7.739 22.800 61.335 40.300 16.795 13.689 82.429 174.751 7.643 2.080
Jun 09, 2022
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