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1c. (1pts) At the 5% level, would you recommend that the band post flyers printed in color when advertising for their show (provided that the
1c. (1pts) At the 5% level, would you recommend that the band post flyers printed in color when advertising for their show (provided that the increase in cost of printing in color is negligible)? 0 Yes. since we reject the relevant H9. 0 Yes. since we do not reject the relevant H9. 0 No, since we reject the relevant H3. 0 No, since we do not reject the relevant Hg. 1d. (2pts) Give the adjusted R-squared for this model. (Round nal answers to 4 decimal places) Adjusted R-Squared: 2. You will now obtain regression estimates predicting Attendance from the number of Flyers posted around town. whether the flyers were posted in Color, and the interaction between Flyers and Color. Again. assume standard regression assumptions hold. As a quick double-check of your work. you should find that the adjusted R-squared for this model is 0.7429. 2a. (1pt each) Give the regression estimate assuming t your answers to 4 decimal places.) Attendance = + " (Flyers) + *{Color} + we model: Attendance = [30 + BrFlyers + BfColor+B3*(Flyers\"Color). (Round *{Flyers"Color) 2b. (2pts) How many people are expected to attend if the band posted 60 flyers printed in color around town under this interaction model? (Round final answers to 2 decimal places.) Predicted Attendance: 3. (1pt) Which model do you prefer to estimate the attendance, the model with or without the interaction term? O Without interaction, it has a smaller residual standard error O Without interaction, it has a smaller R-squared value O Without interaction, it has a smaller adjusted R-squared value O Without interaction, it has a larger F-statistic O With interaction, it has a smaller residual standard error O With interaction, it has a larger R-squared value O With interaction, it has a larger adjusted R-squared value O With interaction, it has a larger F-statistic O Both models perform the sameA local band hires a statistician to determine whether flyers are effective for increasing the audience for shows. For the band's last eight shows. the statistician records how many people attended the shows (Audience). how many flyers were posted around town {Flyers). and whether or not the flyers were printed in color (Color =1 ift'ie flyers were printed in color, Color = O othenNise). The complete data is contained in the accompanying table. Attendance Flyers Color 176 60 0 396 70 1 258 30 1 228 80 O 448 70 1 290 50 0 252 90 0 375 50 1 1. You will obtain regression estimates predicting Attendance from the number of Flyers posted around town and whether the flyers were posted in Color. Assume standard regression assumptions hold. 1a. (1pt each) Give the regression estimate assuming the model: Attendance = Bo + |3fFlyers + [32\"Color. (Round your answers to 4 decimal places.) Attendance = + *' (Flyers) + *(Color) 113. (Zpts) How many people are expected to attend if the band posted 60 flyers printed in color around town? {Round final answers to 2 decimal places.) Predicted Attendance
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