Question
he figures below show the weekly demand at an electrical repair workshop for a certain type of connector over a ten-week period : Week no. 1 2 3 4 5 6 10 7 8 9 26 21 21 26 No. demanded 26 23 24 24 26 26 Use exponential smoothing with a-value of 0.2 to smooth the data and obtain a forecast for week 11. The forecast for the 11th week is?. (Round your intermediate and final answers to two decimal places.)
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Answer to a math question he figures below show the weekly demand at an electrical repair workshop for a certain type of connector over a ten-week period : Week no. 1 2 3 4 5 6 10 7 8 9 26 21 21 26 No. demanded 26 23 24 24 26 26 Use exponential smoothing with a-value of 0.2 to smooth the data and obtain a forecast for week 11. The forecast for the 11th week is?. (Round your intermediate and final answers to two decimal places.)
Hank
4.8105 Answers
### Solution:
Given:
- \alpha = 0.2
- S_1 = 26
### Calculations for Weeks 2 to 10:
#### Week 2:
S_2 = 0.2 \cdot 23 + 0.8 \cdot 26 = 25.4
#### Week 3:
S_3 = 0.2 \cdot 24 + 0.8 \cdot 25.4 = 25.12
#### Week 4:
S_4 = 0.2 \cdot 24 + 0.8 \cdot 25.12 = 24.90
#### Week 5:
S_5 = 0.2 \cdot 23 + 0.8 \cdot 24.90 = 25.12
#### Week 6:
S_6 = 0.2 \cdot 22 + 0.8 \cdot 25.12 = 25.30
#### Week 7:
S_7 = 0.2 \cdot 23 + 0.8 \cdot 25.30 = 25.44
#### Week 8:
S_8 = 0.2 \cdot 22 + 0.8 \cdot 25.44 = 24.55
#### Week 9:
S_9 = 0.2 \cdot 20 + 0.8 \cdot 24.55 = 23.84
#### Week 10:
S_{10} = 0.2 \cdot 20 + 0.8 \cdot 23.84 = 24.27
### Answer:
The forecasted demand for Week 11 using exponential smoothing with alpha = 0.2 is approximately \boxed{24.27}
Given:
-
-
### Calculations for Weeks 2 to 10:
#### Week 2:
#### Week 3:
#### Week 4:
#### Week 5:
#### Week 6:
#### Week 7:
#### Week 8:
#### Week 9:
#### Week 10:
### Answer:
The forecasted demand for Week 11 using exponential smoothing with alpha = 0.2 is approximately
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