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प्रश्न
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 |
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उत्तर
| Year | Profit | 3-Yearly moving total | 3-Yearly moving average |
| 2001 | 142 | - | - |
| 2002 | 148 | 444 | 148 |
| 2003 | 154 | 448 | 149.33 |
| 2004 | 146 | 457 | 152.33 |
| 2005 | 157 | 505 | 168.33 |
| 2006 | 202 | 600 | 200 |
| 2007 | 241 | 706 | 235.33 |
| 2008 | 263 | 784 | 261.33 |
| 2009 | 280 | 845 | 281.67 |
| 2010 | 302 | 908 | 302.67 |
| 2011 | 326 | 981 | 327 |
| 2012 | 353 | - | - |
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संबंधित प्रश्न
Define Time series
State the two normal equations used in fitting a straight line
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 |
The following table gives the number of small-scale units registered with the Directorate of Industries between 1985 and 1991. Show the growth on a trend line by the free hand method.
| Year | No. of units (in '000) |
| 195 | 10 |
| 986 | 22 |
| 1987 | 36 |
| 198 | 62 |
| 1989 | 55 |
| 1990 | 0 |
| 1991 | 34 |
| 1992 | 50 |
The annual production of a commodity is given as follows:
| Year | production (in tones) |
| 1995 | 155 |
| 1996 | 162 |
| 1997 | 171 |
| 19988 | 182 |
| 1999 | 158 |
| 2000 | 880 |
| 2001 | 178 |
Fit a straight line trend by the method of least squares
Choose the correct alternative:
The components of a time series which is attached to short term fluctuation is
Choose the correct alternative:
The value of ‘b’ in the trend line y = a + bx is
Choose the correct alternative:
The component of a time series attached to long term variation is trended as
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
