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Question
Define seasonal index
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Solution
Seasonal Index for every season (monthly or quarterly) is calculated as follows
Seasonal Index (S.I) = `"Seasonal Average"/"Grand Average" xx 100`
If the data is given monthwise
Seasonal Index = `"Monthly Average"/"Grand Average" xx 100`
If quarterly data is given
Seasonal Index = `"Quarterly Average"/"Grand Average" xx 100`
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RELATED QUESTIONS
Mention the components of the time series
Explain cyclic variations
Discuss about irregular variation
Compute the average seasonal movement for the following series
| Year | Quarterly Production | |||
| I | II | III | IV | |
| 2002 | 3.5 | 3.8 | 3.7 | 3.5 |
| 2203 | 3.6 | 4.2 | 3. | 4.1 |
| 2004 | 3.4 | 3.9 | 37 | 4.2 |
| 2005 | 4.2 | 4.5 | 3 | 4.4 |
| 2006 | 3.9 | 4.4 | 4.2 | 4.6 |
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
Use the method of monthly averages to find the monthly indices for the following data of production of a commodity for the years 2002, 2003 and 2004
| 2002 | 2003 | 2004 |
| 15 | 20 | 18 |
| 18 | 18 | 25 |
| 17 | 16 | 21 |
| 19 | 13 | 11 |
| 16 | 12 | 14 |
| 20 | 15 | 16 |
| 21 | 22 | 19 |
| 18 | 16 | 20 |
| 17 | 18 | 1 |
| 15 | 20 | 16 |
| 14 | 17 | 18 |
| 18 | 15 | 20 |
Choose the correct alternative:
Least square method of fitting a trend is
Choose the correct alternative:
The value of ‘b’ in the trend line y = a + bx is
The sum of the series 3.6 + 4.7 + 5.8 + ....... upto (n – 2) terms
