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प्रश्न
Define Time series
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उत्तर
A Time-Series consists of data arranged chronologically – Croxton and Cowden
When quantitative data are arranged in the order of their occurrence, the resulting series is called the Time Series – Wessel and Wallet.
A time series consists of a set of observations arranged in chronological order (either ascending or descending).
Times Series has an important objective to identify the variations and try to eliminate the variations and also helps us to estimate or predict the future values.
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संबंधित प्रश्न
State the uses of time series
Mention the components of the time series
Define seasonal index
State the different methods of measuring trend
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
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 |
A bullet of mass m and velocity a is fired into a large block of wood of mass M The final velocity of the system is
Sum of the first n terms of the series `1/2 + 3/4 + 7/8 + 15/16 +`......... is equal to:
What is the sum of the first 50 terms of the series (1 × 3) + (3 × 5) + (5 × 7) + ...?
