Consider the following time series data. week 1 2 3 4 5 6 Value 18 13 16 11 17 14 Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. If required, round your answers to two decimal place
Consider the following time series data. week 1 2 3 4 5 6 Value 18 13 16 11 17 14 Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. If required, round your answers to two decimal place
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
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Question
Consider the following time series data.
week 1 2 3 4 5 6
Value 18 13 16 11 17 14
- Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. If required, round your answers to two decimal places.
|
Time Series |
|
1 |
18 |
|
2 |
13 |
|
3 |
16 |
|
4 |
11 |
|
5 |
17 |
|
6 |
14 |
MSE:
The forecast for week 7:
- Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 7. If required, round your answers to two decimal places.
|
Time Series |
|
1 |
18 |
|
2 |
13 |
|
3 |
16 |
|
4 |
11 |
|
5 |
17 |
|
6 |
14 |
MSE:
The forecast for week 7:
- Compare the three-week moving average forecast with the exponential smoothing forecast using α = 0.2. Which appears to provide the better forecast based on MSE?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
Use trial and error to find a value of the exponential smoothing coefficient α that results in a smaller MSE than what you calculated for α = 0.2.
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