Advertisements
Advertisements
Question
State the two normal equations used in fitting a straight line
Solution
The constants ‘a’ and ‘b’ are estimated by solving the following two normal Equations
`sum"Y"` = na + `"b"sum"X"` .........(2)
`sum"XY" = "a"sum"X" + "b"sum"X"^2` .........(3)
Where ‘n’ = Number of years given in the data.
APPEARS IN
RELATED QUESTIONS
Define secular trend
Explain the method of fitting a straight line
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
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
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
Choose the correct alternative:
The seasonal variation means the variations occurring with in
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 nth term of the series 2 + 4 + 7 + 11 + ..... is
The sum of the series `log_4 2 - log_8 2 + log_16 2 + ...............` to `oo` is