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Consider the following time series data. Week 1 2 3 4 5 6 Value 18 13 16 11 17 14 Construct a time series plot.

  1. Consider the following time series data.

Week

1

2

3

4

5

6

Value

18

13

16

11

17

14

  1. Construct a time series plot. What type of pattern exist in the data?
  2. Develop a three-week moving average for this time series. Compute MSE and forecast for week 7.
  3. Use = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and forecast for week 7.
  4. Compare the three-week moving average forecast with the exponential smoothing forecast using=0.2. which appears to provide better forecast based on MSE? Explain.
  5. Use trial and error to find a value of the exponential smoothing coefficientthat results in a smaller MSE than what you calculated for=0.2 .

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