Consider the following time series data. Week 1   2  3  4  5  6 Value 18 13 16 11 17 14   Use a = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and forecast for week 7. Compare the three-week moving average forecast with the exponential smoothing forecast using a = 0.2. which appears to provide better forecast based on MSE? Explain. Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for a = 0.2.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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  • Consider the following time series data.

Week

1

  2

 3

 4

 5

 6

Value

18

13

16

11

17

14

 

  1. Use a = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and forecast for week 7.
  2. Compare the three-week moving average forecast with the exponential smoothing forecast using a = 0.2. which appears to provide better forecast based on MSE? Explain.
  3. Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for a = 0.2.
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