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प्रश्न
Obtain trend values for data, using 4-yearly centred moving averages
| Year | 1971 | 1972 | 1973 | 1974 | 1975 | 1976 |
| Production | 1 | 0 | 1 | 2 | 3 | 2 |
| Year | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 |
| Production | 4 | 6 | 5 | 1 | 4 | 10 |
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उत्तर
Construct the following table for obtaining 4-yearly centred moving average for the data.
|
Year t |
Production yt |
4-yearly moving
|
4-yearly moving average | 2 unit moving total | 4-yearly centred moving averages trend value |
| 1971 | 1 | ||||
| 1972 | 0 | ||||
| 4 | 1 | ||||
| 1973 | 1 | 2.5 | 1.25 | ||
| 6 | 1.5 | ||||
| 1974 | 2 | 3..5 | 1.75 | ||
| 8 | 2 | ||||
| 1975 | 3 | 4.75 | 2.375 | ||
| 11 | 2.75 | ||||
| 1796 | 2 | 6.5 | 3.25 | ||
| 15 | 3.75 | ||||
| 1977 | 4 | 8 | 4 | ||
| 17 | 4.25 | ||||
| 1978 | 6 | 8.25 | 4.125 | ||
| 16 | 4 | ||||
| 1979 | 5 | 8 | 4 | ||
| 16 | 4 | ||||
| 1980 | 1 | 9 | 4.5 | ||
| 20 | 5 | ||||
| 1981 | 4 | ||||
| 1982 | 10 |
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| Year | 1971 | 1972 | 1973 | 1974 | 1975 | 1976 |
| Production | 1 | 0 | 1 | 2 | 3 | 2 |
| Year | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 |
| Production | 4 | 6 | 5 | 1 | 4 | 10 |
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| Year | 1976 | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 |
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