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Question
Solve the following problem :
Obtain trend values for the following data using 5-yearly moving averages.
| Year | 1974 | 1975 | 1976 | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 |
| Production | 0 | 4 | 9 | 9 | 8 | 5 | 4 | 8 | 10 |
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Solution
Construct the following table for obtaining 5-yearly moving average for the data:
| Year t |
Production | 5-yearly moving total | 5-yearly moving averages trend value |
| 1974 | 0 | – | – |
| 1975 | 4 | – | – |
| 1976 | 9 | 30 | 6 |
| 1977 | 9 | 35 | 7 |
| 1978 | 8 | 35 | 7 |
| 1979 | 5 | 34 | 6.8 |
| 1980 | 4 | 35 | 7 |
| 1981 | 8 | – | – |
| 1982 | 10 | – | – |
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| 2009 | 16 | – 3 | 9 | – 48 |
| 2010 | 17 | – 1 | 1 | – 17 |
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| Total | 177 | 0 | 330 | 27 |
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| 1934 | 2 | 1940 | 1 |
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