Advertisements
Advertisements
Question
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
Solution
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.
APPEARS IN
RELATED QUESTIONS
Explain cyclic variations
Define seasonal index
State the different methods of measuring trend
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
Choose the correct alternative:
The value of ‘b’ in the trend line y = a + bx 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 |
The sum of the infinite series `x + (1 + 2)/(2!) x^2 + (1 + 2 + 3)/(3!) x^3 +` .... equals
The sum of the series `log_4 2 - log_8 2 + log_16 2 + ...............` to `oo` is
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).
