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प्रश्न
Define secular trend
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उत्तर
It is a general tendency of time series to increase or decrease or stagnates during a long period of time, an upward tendency is usually observed in population of a country, production, sales, prices in industries, income or individuals etc.
A downward tendency is observed in deaths, epidemics, prices of electronic gadgets, water sources, mortality rate etc.
It is not necessarily that the increase or decrease should be in the same direction throughout the given period of time.
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संबंधित प्रश्न
Mention the components of the time series
Write a brief note on seasonal variations
State the different methods of measuring trend
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
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 |
Determine the equation of a straight line which best fits the following data
| Year | 2000 | 2001 | 2002 | 2003 | 2004 |
| Sales (₹ '000) | 35 | 36 | 79 | 80 | 40 |
Compute the trend values for all years from 2000 to 2004
Choose the correct alternative:
A time series consists of
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 |
Let An be the sum of the first n terms of the geometric series `704 + 704/2 + 704/4 + 704/8 + ...` and Bn be the sum of the first n terms of the geometric series `1984 - 1984/2 + 1984/4 + 1984/8 + ...` If An = Bn, then the value ofn is (where n ∈ N).
The sum of the series 3.6 + 4.7 + 5.8 + ....... upto (n – 2) terms
