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प्रश्न
From the following data, calculate the trend values using fourly moving averages.
| Year | 1990 | 1991 | 1992 | 1993 | 1994 | 1995 | 1996 | 1997 | 1998 |
| Sales | 506 | 620 | 1036 | 673 | 588 | 696 | 1116 | 738 | 663 |
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उत्तर
| Year | Sales | 4-Yearly moving total | 4-Yearly moving average | 4-Yearly centered moving average |
| 1990 | 506 | - | - | |
| 1991 | 620 | - | - | |
| 2835 | 708.75 | |||
| 1992 | 1036 | 719 | ||
| 2917 | 729.25 | |||
| 1994 | 673 | 738.75 | ||
| 2993 | 748.25 | |||
| 1995 | 588 | 758.25 | ||
| 3073 | 768.25 | |||
| 1996 | 696 | 776.375 | ||
| 3138 | 784.5 | |||
| 1997 | 1116 | - | - | 793.875 |
| 3213 | 803.25 | |||
| 1998 | 663 | - | - |
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संबंधित प्रश्न
Mention the components of the time series
State the two normal equations used in fitting a straight line
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
The annual production of a commodity is given as follows:
| Year | production (in tones) |
| 1995 | 155 |
| 1996 | 162 |
| 1997 | 171 |
| 19988 | 182 |
| 1999 | 158 |
| 2000 | 880 |
| 2001 | 178 |
Fit a straight line trend by the method of least squares
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
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:
Factors responsible for seasonal variations are
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
The sum of the infinite series `x + (1 + 2)/(2!) x^2 + (1 + 2 + 3)/(3!) x^3 +` .... equals
The sum of the series 3.6 + 4.7 + 5.8 + ....... upto (n – 2) terms
