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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 secular trend
Explain cyclic variations
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
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
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The value of ‘b’ in the trend line y = a + bx is
Choose the correct alternative:
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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 |
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).
