Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following​ table:                                                                                                                                                                Year 1 2 3 4 5 6 7 8 9 10 11 Registrations​ (000) 4.00 6.00 4.00 5.00 10.00 8.00 7.00 9.00 12.00 14.00 15.00   ​a) Calculate forecasted registrations for years 2 through 12 using exponential​ smoothing, with a smoothing constant ​(α​) of 0.30 and a starting forecast of 5.00 for year 1 ​(round your responses to one decimal ​place)​:   Year 1 2 3 4 5 6 7 8 9 10 11 12 Forecast​ (000) 5.00   4.7     5.1     4.8     4.8     6.4     6.9     6.9     7.5     8.9     10.4     11.8     ​b) Mean absolute deviation based on the forecast developed using the exponential smoothing method​ (with a smoothing constant ​(α​)​= 0.30 and a starting forecast of F1​= 5.00​) is ___ responses​ (round your response to one decimal​ place).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following​ table:
 
                                                                                                                                                            
Year
1
2
3
4
5
6
7
8
9
10
11
Registrations​ (000)
4.00
6.00
4.00
5.00
10.00
8.00
7.00
9.00
12.00
14.00
15.00
 
​a) Calculate forecasted registrations for years 2 through 12 using exponential​ smoothing, with a smoothing constant ​(α​) of 0.30 and a starting forecast of 5.00 for year 1 ​(round your responses to one decimal ​place)​:
 
Year
1
2
3
4
5
6
7
8
9
10
11
12
Forecast​ (000)
5.00

 

4.7

 

 

5.1

 

 

4.8

 

 

4.8

 

 

6.4

 

 

6.9

 

 

6.9

 

 

7.5

 

 

8.9

 

 

10.4

 

 

11.8

 
 
​b) Mean absolute deviation based on the forecast developed using the exponential smoothing method​ (with a smoothing constant ​(α​)​= 0.30 and a starting forecast of F1​= 5.00​) is ___ responses​ (round your response to one decimal​ place).
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