745 Fit a straight line to the following data, also determine the trend values as well: Years 19971998|1999|200020012002 Values 12 Compute trend values by fitting a straight line. Years 19901991|1992|1993|1994|1998|1996| Values 81 84 Determine the trend line hu th 10 11 18 15 24 88 104 134148 170

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745
Q.10.26 (a) Fit a straight line to the following data, also determine the
trend values as well:
Years 19971998 19992000020012002
Values 12
Compute trend values by fitting a straight line.
Years 199019911992|1993|9941995 1996
Values 81
10 | 11
18 | 15
24
((b)
84
88 104 134148 170
O10.27 (a) Determine the trend line by the least squares method from
the following data. Plot the actual values and the lincar
trend on same graph.
Years
1995 199619971998|1999|2000200120022003
Price in Rs. 3
(6)
6
2
10
7
9.
14 12
18
Use the method of least squares to determine the linear
trend line for the following data. Also compute the trend
values and make an estimate of the nuniber of bags of
fertilizer sold in the 1st and 2nd quarters of 1999.
Quarters
Years
II
III
IV
1995
72
98
79
106
1996
79
122
101
143
1997'
94
141
128
160
1998
125
143
135
187
Q.10.28 (a) Fit a quadratic parabola to the following series of
observations taking the years as independent variable.
Years
1924 19271930 1933|19361939|1942
Index of coal prices 187 142 133 129 136 169 279
Use your results to estimate the value of the index for 1935.
(b)
Fit a second degree parabola to the following results, for
the years 1955-1965 (both inclusive).
ΣΧ-0, ΣΥ= 410, ΣΥΎ = 601
ΣχΥ-4587, Σχ110, Σχ-0, Σχ" -1958
Find out the trend values as well.
%3D
9 (0) If the second degree parabola fitted to the data for 1970 to
1979 (both inclusive) with origin at the middle of 1974 and.
1975 is Y 100.356 + 11.333X + 1,006X² the unit of X
being half year, find the trend values corresponding to the
years 1970-1979.
(6)
Fit a straight line and second degree parabola to the
following data of bank deposits.
Transcribed Image Text:745 Q.10.26 (a) Fit a straight line to the following data, also determine the trend values as well: Years 19971998 19992000020012002 Values 12 Compute trend values by fitting a straight line. Years 199019911992|1993|9941995 1996 Values 81 10 | 11 18 | 15 24 ((b) 84 88 104 134148 170 O10.27 (a) Determine the trend line by the least squares method from the following data. Plot the actual values and the lincar trend on same graph. Years 1995 199619971998|1999|2000200120022003 Price in Rs. 3 (6) 6 2 10 7 9. 14 12 18 Use the method of least squares to determine the linear trend line for the following data. Also compute the trend values and make an estimate of the nuniber of bags of fertilizer sold in the 1st and 2nd quarters of 1999. Quarters Years II III IV 1995 72 98 79 106 1996 79 122 101 143 1997' 94 141 128 160 1998 125 143 135 187 Q.10.28 (a) Fit a quadratic parabola to the following series of observations taking the years as independent variable. Years 1924 19271930 1933|19361939|1942 Index of coal prices 187 142 133 129 136 169 279 Use your results to estimate the value of the index for 1935. (b) Fit a second degree parabola to the following results, for the years 1955-1965 (both inclusive). ΣΧ-0, ΣΥ= 410, ΣΥΎ = 601 ΣχΥ-4587, Σχ110, Σχ-0, Σχ" -1958 Find out the trend values as well. %3D 9 (0) If the second degree parabola fitted to the data for 1970 to 1979 (both inclusive) with origin at the middle of 1974 and. 1975 is Y 100.356 + 11.333X + 1,006X² the unit of X being half year, find the trend values corresponding to the years 1970-1979. (6) Fit a straight line and second degree parabola to the following data of bank deposits.
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