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प्रश्न
Explain cyclic variations
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उत्तर
These variations are not necessarily uniformly periodic in nature.
That is, they may or may not follow exactly similar patterns after equal intervals of time.
Generally, one cyclic period ranges from 7 to 9 years and there is no hard and fast rule in the fixation of year for a cyclic period.
For example, every business cycle has a Start-Boom – Depression.
Recover, maintenance during booms and depressions, changes in government monetary policies, changes in interest rates.
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संबंधित प्रश्न
Mention the components of the time series
Write a brief note on seasonal variations
Discuss about irregular variation
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
The sales of a commodity in tones varied from January 2010 to December 2010 as follows:
| In Year 2010 | Sales (in tones) |
| Jan | 280 |
| Feb | 240 |
| Mar | 270 |
| Apr | 300 |
| May | 280 |
| Jun | 290 |
| Jul | 210 |
| Aug | 200 |
| Sep | 230 |
| Oct | 200 |
| Nov | 230 |
| Dec | 210 |
Fit a trend line by the method of semi-average
Choose the correct alternative:
The components of a time series which is attached to short term fluctuation is
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 |
A bullet of mass m and velocity a is fired into a large block of wood of mass M The final velocity of the system is
The sum of the series `log_4 2 - log_8 2 + log_16 2 + ...............` to `oo` is
The sum of the series 3.6 + 4.7 + 5.8 + ....... upto (n – 2) terms
