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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 70 489 Color 189 70 141 353 211 96 325 276 30 70 40 40 50 50 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. Give the regression estimate assuming the model: Attendance Bo Bi"Flyers B2 Color (Round your answers to 4 10. decimal piaces.) Attendance - •/////* (Fyers) • [ (Color) 1b. How many people are expected to attend if the band posted 80 flyers printed in color around town? (Round final answers to 2 decimal places.)

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 70 489 Color 189 70 141 353 211 96 325 276 30 70 40 40 50 50 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. Give the regression estimate assuming the model: Attendance Bo Bi"Flyers B2 Color (Round your answers to 4 10. decimal piaces.) Attendance - •/////* (Fyers) • [ (Color) 1b. How many people are expected to attend if the band posted 80 flyers printed in color around town? (Round final answers to 2 decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1c. 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 O Yes, since we do not reject the relevant O No, since we reject the relevant i O No, since we do not reject the relevant Give the adjusted R-squared for this model, (Round final answers to 4 decimal pleces) 1d. 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 0.7383 20. Give the regression estimate assuming the modet Attendance Po PFlyers P2 Color-pylyen Color), (Round your answers to 4 decimel places.) Attendance 7Phers) + "(Color) + Fyers Colg) 2b. How many people are expected to attend if the band posted 80 flyers printed in color around town under this intecaction model? (Round finel answers to 2 decimal places) Predicted Attendance 3. 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 same
Transcribed Image Text:1c. 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 O Yes, since we do not reject the relevant O No, since we reject the relevant i O No, since we do not reject the relevant Give the adjusted R-squared for this model, (Round final answers to 4 decimal pleces) 1d. 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 0.7383 20. Give the regression estimate assuming the modet Attendance Po PFlyers P2 Color-pylyen Color), (Round your answers to 4 decimel places.) Attendance 7Phers) + "(Color) + Fyers Colg) 2b. How many people are expected to attend if the band posted 80 flyers printed in color around town under this intecaction model? (Round finel answers to 2 decimal places) Predicted Attendance 3. 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 same
A local band hires a statistician to determine whether flyers are effective for increasing the audience for shows. For the band's last elght 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 489 Flyers 70 70 30 70 40 Color 189 141 353 211 96 325 276 1 40 50 50 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. Give the regression estimate assuming the model: Attendance = Bo + B"Flyers B2'Color, (Round your answers to 4 1a. decimal places.) Attendance= | (Flyers) "(Color) 1b. How many people are expected to attend if the band posted 80 flyers printed in color around town? (Round final answers to 2 decimal places.) Predicted Attendance:
Transcribed Image Text:A local band hires a statistician to determine whether flyers are effective for increasing the audience for shows. For the band's last elght 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 489 Flyers 70 70 30 70 40 Color 189 141 353 211 96 325 276 1 40 50 50 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. Give the regression estimate assuming the model: Attendance = Bo + B"Flyers B2'Color, (Round your answers to 4 1a. decimal places.) Attendance= | (Flyers) "(Color) 1b. How many people are expected to attend if the band posted 80 flyers printed in color around town? (Round final answers to 2 decimal places.) Predicted Attendance:
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