Typed answer.

A 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 if the flyers were printed in color, Color = 0 otherwise). The complete data is contained in the accompanying table. Attendance Flyers Color 195 70 0 471 70 304 50 373 90 0 239 50 0 333 50 269 80 0 492 80 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 + By*Flyers + B2*Color. (Round your answers to 4 decimal places.) Attendance = " (Flyers) + "(Color) 1b. (2pts) 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: 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)? O Yes, since we reject the relevant He O Yes, since we do not reject the relevant Ho O No, since we reject the relevant He O No, since we do not reject the relevant He 1d. (2pts) Give the adjusted R-squared for this model. (Round final 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 0.7708. 20. (1pt each) Give the regression estimate assuming the model: Attendance = Bo + By"Flyers + 82"Color+B3" (Flyers*Color). (Round your answers to 4 decimal places.) Attendance =* (Flyers) +*(Color) +["(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