Year Year Forecast (000) 1 2 3 4.00 7.00 5.00 1 5.00 Registrations (000) a) Calculate the forecasted registrations for years 2 through 12 using exponential smoothing, with a smoothing constant (a) of 0.40 and a starting forecast of 5.00 for year 1 (round your responses to one decimal place): 2 3 4 4.00 4 5 9.00 5 6 7 8 9 10 11 9.00 6.00 10.00 13.00 14.00 12.00 6 7 8 9 10 11 1 12

Practical Management Science
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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 | 7.00 | 5.00 | 4.00 | 9.00 | 9.00 | 6.00 | 10.00 | 13.00 | 14.00 | 12.00 |

**a) Calculate the forecasted registrations for years 2 through 12 using exponential smoothing, with a smoothing constant (α) of 0.40 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 |     |     |     |     |     |     |     |     |     |     |     |
Transcribed Image Text:**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 | 7.00 | 5.00 | 4.00 | 9.00 | 9.00 | 6.00 | 10.00 | 13.00 | 14.00 | 12.00 | **a) Calculate the forecasted registrations for years 2 through 12 using exponential smoothing, with a smoothing constant (α) of 0.40 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 | | | | | | | | | | | |
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Follow-up Question
Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following table:
Year
Year
Forecast (000)
1 2
4.00 7.00
1
5.00
3
5.00
Registrations (000)
a) Calculate the forecasted registrations for years 2 through 12 using exponential smoothing, with a smoothing constant (a) of 0.40 and a starting forecast of 5.00 for year 1 (round your responses to one decimal
place):
2
3
4.6 5.56
4
4.00
4
5.34
11
9 10
7 8
6
5
9.00 9.00 6.00 10.00 13.00 14.00 12.00
5
4.80
6
7
6.48 7.49
8
6.89
9
8.14
10
10.08
11
11.64
12
11.79
b) Mean absolute deviation based on the forecast developed using the exponential smoothing method (with a smoothing constant (a) = 0.40 and a starting forecast of F₁ = 5.00) is
response to one decimal place).
registrations (round your
Transcribed Image Text:Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following table: Year Year Forecast (000) 1 2 4.00 7.00 1 5.00 3 5.00 Registrations (000) a) Calculate the forecasted registrations for years 2 through 12 using exponential smoothing, with a smoothing constant (a) of 0.40 and a starting forecast of 5.00 for year 1 (round your responses to one decimal place): 2 3 4.6 5.56 4 4.00 4 5.34 11 9 10 7 8 6 5 9.00 9.00 6.00 10.00 13.00 14.00 12.00 5 4.80 6 7 6.48 7.49 8 6.89 9 8.14 10 10.08 11 11.64 12 11.79 b) Mean absolute deviation based on the forecast developed using the exponential smoothing method (with a smoothing constant (a) = 0.40 and a starting forecast of F₁ = 5.00) is response to one decimal place). registrations (round your
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