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
Advertisements
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
State the uses of time series
Discuss about irregular variation
Explain the method of fitting a straight line
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
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:
A time series is a set of data recorded
Choose the correct alternative:
The additive model of the time series with the components T, S, C and I is
The nth term of the series 2 + 4 + 7 + 11 + ..... is
The sum of the infinite series `x + (1 + 2)/(2!) x^2 + (1 + 2 + 3)/(3!) x^3 +` .... equals
What is the sum of the first 50 terms of the series (1 × 3) + (3 × 5) + (5 × 7) + ...?
