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=0.704+1.393Xi

and the standard error of the estimate is SYX=19.569.

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.

Online Trailer Views (millions) Opening Weekend Box Office Gross ($millions) 57.435 33.469 13.543 4.147 8.754 5.252 10.154 21.694 84.484 103.010 33.938 66.090 24.144 15.251 4.489 11.667 3.288 6.599 46.478 33.141 5.768 18.987 25.246 16.332 3.901 1.542 58.129 143.640 10.194 9.937 13.992 11.203 13.305 4.564 1.655 2.300 0.328 1.508 4.950 7.411 6.414 4.169 8.037 3.586 28.555 98.584 0.481 4.550 0.750 14.741 7.883 12.442 54.995 52.842 5.555 0.351 33.231 19.798 5.673 8.661 11.419 12.502 57.445 40.300 78.573 174.751 5.108 4.137 36.144 61.025 5.016 16.172 44.629 88.412 4.989 4.690 6.630 33.377 0.942 3.705 2.258 1.513 11.327 18.470 8.966 12.202 15.177 4.357 13.714 30.436 31.231 53.003 52.612 46.607 16.235 13.003 6.884 3.776 11.698 18.223 2.827 3.471 23.075 13.602 12.606 40.011 0.826 1.385 27.536 20.130 7.273 3.404 3.323 1.207 4.267 10.951 3.790 8.344 7.597 11.614 12.912 13.501 7.067 5.106 5.020 1.985 7.739 22.800 16.795 13.689 7.643 2.080

Question content area bottom

Part 1

a. At the

0.10

level of significance, is there evidence of a linear relationship between online trailer views and opening weekend box office gross?

Part 2

Compute the test statistic.

The test statistic is

tSTAT=enter your response here.

(Round to two decimal places as needed.)

Part 3

Find the p-value.

The p-value is

enter your response here.

(Round to three decimal places as needed.)

Part 4

Reach a decision.

Reject

Do not reject

H0.

There is

insufficient

sufficient

evidence to conclude that there is a linear relationship between online trailer views and opening weekend box office gross.

Part 5

b. Construct a

90%

confidence interval estimate of the population slope,

1.

The confidence interval is

enter your response here1