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Question
State the different methods of measuring trend
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Solution
Following are the methods by which we can measure the trend.
(i) Freehand or Graphic Method
(ii) Method of Semi-Averages
(iii) Method of Moving Averages
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RELATED QUESTIONS
Write a brief note on seasonal variations
Explain cyclic variations
Define seasonal index
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 |
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
Calculate the seasonal indices from the following data using the average method:
| Year | I Quarter | II Quarter | III Quarter | IV Quarter |
| 2008 | 72 | 68 | 62 | 76 |
| 2009 | 78 | 74 | 78 | 72 |
| 2010 | 74 | 70 | 72 | 76 |
| 2011 | 76 | 74 | 74 | 72 |
| 2012 | 72 | 72 | 76 | 68 |
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
