Mark​ Gershon, owner of a musical instrument​ distributorship, thinks that demand for guitars may be related to the number of television appearances by the popular group Maroon 5 during the previous month. Gershon has collected the data shown in the following​ table:                                                                                                            Maroon 5 TV Appearances 3 3 8 5 8 6 Demand for Guitars 2 5 6 4 11 6   This exercise contains only parts​ b, c, and d. ​b) Using the​ least-squares regression​ method, the equation for forecasting is ​(round your responses to four decimal ​places)​:   Y​ =   ​+   ​c) The estimate for guitar sales if Maroon 5 performed on TV 11 times​ =   sales ​(round your response to two decimal​ places).   ​d) The correlation coefficient ​(r​) for this model​ =   ​(round your response to four decimal​ places). The coefficient of determination ​(r2​) for this model​ =   ​(round your response to four decimal​ places).   The percentage of variation in sales that can be explained by TV appearances​ = % ​(round your response to two decimal​ places).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section: Chapter Questions
Problem 44P
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Mark​ Gershon, owner of a musical instrument​ distributorship, thinks that demand for guitars may be related to the number of television appearances by the popular group Maroon 5 during the previous month. Gershon has collected the data shown in the following​ table:
                                                                                                          
Maroon 5 TV Appearances
3
3
8
5
8
6
Demand for Guitars
2
5
6
4
11
6
 
This exercise contains only parts​ b, c, and d.
​b) Using the​ least-squares regression​ method, the equation for forecasting is ​(round your responses to four decimal
​places)​:
 
Y​ =
 
​+
 
​c) The estimate for guitar sales if Maroon 5 performed on TV 11
times​ =
 
sales ​(round your response to two decimal​ places).
 
​d) The correlation coefficient ​(r​)
for this model​ =
 
​(round your response to four decimal​ places).
The coefficient of determination
​(r2​)
for this model​ =
 
​(round your response to four decimal​ places).
 
The percentage of variation in sales that can be explained by TV appearances​ =
%
​(round your response to two decimal​ places).
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