Consider the following time series data: Month 1 2 3 4 5 6 7 Value 23 13 21 13 19 21 17 What type of pattern exists in the data? (b) Develop a three-month moving average for this time series. Compute MSE and a forecast for month 8. If required, round your answers to two decimal places. Do not round intermediate calculation. MSE: The forecast for month 8: (c) Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for month 8. If required, round your answers to two decimal places. Do not round intermediate calculation. MSE: The forecast for month 8: (d) Compare the three-month moving average forecast with the exponential smoothing forecast using α = 0.2. Which appears to provide the better forecast based on MSE? (e) Use trial and error to find a value of the exponential smoothing coefficient α that results in the smallest MSE. If required, round your answer to two decimal places. α =
Consider the following time series data: Month 1 2 3 4 5 6 7 Value 23 13 21 13 19 21 17 What type of pattern exists in the data? (b) Develop a three-month moving average for this time series. Compute MSE and a forecast for month 8. If required, round your answers to two decimal places. Do not round intermediate calculation. MSE: The forecast for month 8: (c) Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for month 8. If required, round your answers to two decimal places. Do not round intermediate calculation. MSE: The forecast for month 8: (d) Compare the three-month moving average forecast with the exponential smoothing forecast using α = 0.2. Which appears to provide the better forecast based on MSE? (e) Use trial and error to find a value of the exponential smoothing coefficient α that results in the smallest MSE. If required, round your answer to two decimal places. α =
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter24: Forecasting Models
Section24.5: Ad Hoc Forecasting
Problem 1P
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Question
Consider the following time series data:
Month | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Value | 23 | 13 | 21 | 13 | 19 | 21 | 17 |
What type of pattern exists in the data? | |
(b) | Develop a three-month moving average for this time series. Compute MSE and a forecast for month 8. |
If required, round your answers to two decimal places. Do not round intermediate calculation. | |
MSE: | |
The forecast for month 8: | |
(c) | Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for month 8. |
If required, round your answers to two decimal places. Do not round intermediate calculation. | |
MSE: | |
The forecast for month 8: | |
(d) | Compare the three-month moving average forecast with the exponential smoothing forecast using α = 0.2. Which appears to provide the better forecast based on MSE? |
(e) | Use trial and error to find a value of the exponential smoothing coefficient α that results in the smallest MSE. |
If required, round your answer to two decimal places. | |
α = |
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