In: Statistics and Probability
Consider the following time series data.
Excel File: data17-35.xls
| Quarter | Year 1 | Year 2 | Year 3 |
| 1 | 4 | 6 | 7 |
| 2 | 2 | 3 | 6 |
| 3 | 3 | 5 | 6 |
| 4 | 5 | 7 | 8 |
b. Show the four-quarter and centered moving average values for this time series (to 3 decimals if necessary).
| Year | Quarter | Time Series Value | Four-Quarter Moving Average | Centered Moving Average |
| 1 | 1 | 4 | ||
| 2 | 2 | |||
| 3.25 | ||||
| 3 | 3 | ________ | ||
| 4 | ||||
| 4 | 5 | _______ | ||
| _________ | ||||
| 2 | 1 | 6 | _________ | |
| 4.75 | ||||
| 2 | 3 | 5 | ||
| 5.25 | ||||
| 3 | 5 | 5.375 | ||
| 5.5 | ||||
| 4 | 7 | _______ | ||
| _______ | ||||
| 3 | 1 | 7 | _______ | |
| _______ | ||||
| 2 | 6 | ______ | ||
| ________ | ||||
| 3 | 6 | |||
| 4 | 8 |
c. Compute seasonal indexes and adjusted seasonal indexes for the four quarters (to 3 decimals).
| Quarter | Seasonal Index |
Adjusted Seasonal Index |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| Total |