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प्रश्न
The following figures relates to the profits of a commercial concern for 8 years
| Year | Profit (₹) |
| 1986 | 15,420 |
| 1987 | 15,470 |
| 1988 | 15,520 |
| 1989 | 21,020 |
| 1990 | 26,500 |
| 1991 | 31,950 |
| 1992 | 35,600 |
| 1993 | 34,900 |
Find the trend of profits by the method of three yearly moving averages
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उत्तर
Computation of three-yearly moving averages
| Year | Profit (₹) | 3-Yearly Moving Total |
3-Yearly Moving Average |
| 1986 | 15420 | - | - |
| 1987 | 15470 | 46410 | 15470 |
| 1988 | 15520 | 5010 | 17336.666 |
| 1989 | 21020 | 63040 | 21013.333 |
| 1990 | 26500 | 79470 | 26490 |
| 1991 | 31950 | 94050 | 31350 |
| 1992 | 35600 | 102450 | 34150 |
| 1993 | 34900 | - | - |
The last column gives the trend of profits.
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संबंधित प्रश्न
Define secular trend
Write a brief note on seasonal variations
Explain the method of fitting a straight line
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 components of a time series which is attached to short term fluctuation is
Choose the correct alternative:
The component of a time series attached to long term variation is trended as
Using three yearly moving averages, Determine the trend values from the following data.
| Year | Profit | Year | Profit |
| 2001 | 142 | 2007 | 241 |
| 2002 | 148 | 2008 | 263 |
| 2003 | 154 | 2009 | 280 |
| 2004 | 146 | 2010 | 302 |
| 2005 | 157 | 2011 | 326 |
| 2006 | 202 | 2012 | 353 |
Fit a straight line trend by the method of least squares to the following data
| Year | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 |
| Sales | 50.3 | 52.7 | 49.3 | 57.3 | 56.8 | 60.7 | 62.1 | 58.7 |
The nth term of the series 2 + 4 + 7 + 11 + ..... is
The sum of the series `log_4 2 - log_8 2 + log_16 2 + ...............` to `oo` is
