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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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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