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प्रश्न
Find the trend of production by the method of a five-yearly period of moving average for the following data:
| Year | Production ('000) |
| 1979 | 126 |
| 1980 | 123 |
| 1981 | 117 |
| 1982 | 128 |
| 1983 | 125 |
| 1984 | 124 |
| 1985 | 130 |
| 1986 | 114 |
| 1987 | 122 |
| 1988 | 129 |
| 1989 | 118 |
| 1990 | 123 |
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उत्तर
Computation of five-yearly moving averages
| Year | Production ('000) |
5-Yearly centred moving total |
5-Yearly moving averages |
5-Yearly centred moving averages |
| 1979 | 126 | - | - | - |
| 1980 | 123 | - | - | - |
| 1981 | 117 | 619 | 123.8 | |
| 123.6 | ||||
| 1982 | 128 | 617 | 123.4 | |
| 124.1 | ||||
| 1983 | 125 | 624 | 124.8 | |
| 124.5 | ||||
| 1984 | 124 | 621 | 124.2 | |
| 123.6 | ||||
| 1985 | 130 | 615 | 123 | |
| 123.4 | ||||
| 1986 | 114 | 619 | 123.8 | |
| 123.2 | ||||
| 1987 | 122 | 613 | 122.6 | |
| 121.9 | ||||
| 1988 | 129 | 606 | 121.2 | |
| 1989 | 118 | - | - | - |
| 1990 | 123 | - | - | - |
The last column gives the trend in the production by the method of the five-yearly period of moving average.
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संबंधित प्रश्न
Define Time series
Explain the method of fitting a straight line
State the different methods of measuring trend
Compute the average seasonal movement for the following series
| Year | Quarterly Production | |||
| I | II | III | IV | |
| 2002 | 3.5 | 3.8 | 3.7 | 3.5 |
| 2203 | 3.6 | 4.2 | 3. | 4.1 |
| 2004 | 3.4 | 3.9 | 37 | 4.2 |
| 2005 | 4.2 | 4.5 | 3 | 4.4 |
| 2006 | 3.9 | 4.4 | 4.2 | 4.6 |
Use the method of monthly averages to find the monthly indices for the following data of production of a commodity for the years 2002, 2003 and 2004
| 2002 | 2003 | 2004 |
| 15 | 20 | 18 |
| 18 | 18 | 25 |
| 17 | 16 | 21 |
| 19 | 13 | 11 |
| 16 | 12 | 14 |
| 20 | 15 | 16 |
| 21 | 22 | 19 |
| 18 | 16 | 20 |
| 17 | 18 | 1 |
| 15 | 20 | 16 |
| 14 | 17 | 18 |
| 18 | 15 | 20 |
Choose the correct alternative:
The additive model of the time series with the components T, S, C and I is
Choose the correct alternative:
The seasonal variation means the variations occurring with in
From the following data, calculate the trend values using fourly moving averages.
| Year | 1990 | 1991 | 1992 | 1993 | 1994 | 1995 | 1996 | 1997 | 1998 |
| Sales | 506 | 620 | 1036 | 673 | 588 | 696 | 1116 | 738 | 663 |
Sum of the first n terms of the series `1/2 + 3/4 + 7/8 + 15/16 +`......... is equal to:
What is the sum of the first 50 terms of the series (1 × 3) + (3 × 5) + (5 × 7) + ...?
