The table available below contains data on a nation's total box office grosses ($billion), total number of admissions (b
Posted: Wed May 11, 2022 8:51 am
The table available below contains data on a nation's total box office grosses ($billion), total number of admissions (billion), average ticket price (S), and number of movie screens for 29 years. Complete parts a through o below. Click the loon to view the data table. 2. Construct a regression equation that uses the other variables to predict total box office grosses Grosses-D (Admissions. Average Ticket Price+ (Screens (Round the coofficient of Screens to six decimal places as needed. Round all other values to two decimal places as needed.) b. Determine if the overall model is significant. Use a significance level of 0.05, What are the hypotheses to test? ОА Но: в 2 р, 10 HB 30 OB. Ho D2 15=0 HA At least one B 0 OC. Ho B2120 HA At least one OD. Ho Alleast one o HA 2010
Calculate the test statistic F-(Round to two decimal places as needed) Determine the p-value The p-value is a (Round to three decimal places as needed) Since the p-values than the significance level V the null hypothesis and conclude that the overall model significant c. Determine the range of plausible value for the change in box office grosses if the average ticket price were increased by $1. Use a confidence level of 95% The range of plausible values is from to (Round to two decimal places as needed)
Grosses ($Billions) 11.12 10.4 10.92 10.79 10.18 10.58 10.6 9.63 9.63 9.17 8.82 9.29 9.15 9.09 8.11 7.51 7.33 6.86 6.23 5.82 5.27 5.18 4.9 4.56 4.8 5.02 5.03 4.46 4.25 Admissions (Billion) 1.23 1.38 1.35 1.36 1.35 1.33 1.34 1.37 1.57 1.38 1.45 1.58 1.36 1.37 1.36 1.35 1.45 1.56 1.58 1.59 1.35 1.09 1.05 1.18 1.27 1.05 1.11 1.07 1.15 Average Ticket Prices ($) 8.43 8.17 8.13 7.96 7.93 7.89 7.5 7.18 6.88 6.55 6.41 6.21 6.03 5.8 5.65 5.39 5.06 4.69 4.59 4.42 4.35 4.08 4.14 4.15 4.21 4.22 3.99 4.11 3.91 Screens 40174 39956 40024 39662 39580 39520 39233 38834 38794 38415 37688 36435 35650 35688 35506 36379 37131 34168 31865 29731 27843 26689 25626 25214 24639 23814 22921 23129 22679
Calculate the test statistic F-(Round to two decimal places as needed) Determine the p-value The p-value is a (Round to three decimal places as needed) Since the p-values than the significance level V the null hypothesis and conclude that the overall model significant c. Determine the range of plausible value for the change in box office grosses if the average ticket price were increased by $1. Use a confidence level of 95% The range of plausible values is from to (Round to two decimal places as needed)
Grosses ($Billions) 11.12 10.4 10.92 10.79 10.18 10.58 10.6 9.63 9.63 9.17 8.82 9.29 9.15 9.09 8.11 7.51 7.33 6.86 6.23 5.82 5.27 5.18 4.9 4.56 4.8 5.02 5.03 4.46 4.25 Admissions (Billion) 1.23 1.38 1.35 1.36 1.35 1.33 1.34 1.37 1.57 1.38 1.45 1.58 1.36 1.37 1.36 1.35 1.45 1.56 1.58 1.59 1.35 1.09 1.05 1.18 1.27 1.05 1.11 1.07 1.15 Average Ticket Prices ($) 8.43 8.17 8.13 7.96 7.93 7.89 7.5 7.18 6.88 6.55 6.41 6.21 6.03 5.8 5.65 5.39 5.06 4.69 4.59 4.42 4.35 4.08 4.14 4.15 4.21 4.22 3.99 4.11 3.91 Screens 40174 39956 40024 39662 39580 39520 39233 38834 38794 38415 37688 36435 35650 35688 35506 36379 37131 34168 31865 29731 27843 26689 25626 25214 24639 23814 22921 23129 22679