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Ta b l e 3 . 7 .
Table of solutions with backward transformation
Solution
1
2
3
4
5
Index
1
1.128
2.639
2.86
5.08
3.97
2
4.599
4.199
2.798
1.8
1.6
3
2.685
4.457
-2.883
1.196
2.661
4
2.665
-0.085
4.879
3.238
5.096
5
-1.124
5.768
7.036
2.439
1.134
6
2.439
1.31
0.895
3.768
1.556
7
2.881
4.441
4.841
7.126
2.439
8
1.51
4.659
2.739
4.837
5.11
9
3.098
2.765
2.791
3.108
2.423
10
0.935
5.758
1.308
0.953
3.02
Ta b l e 3 . 8 .
Rounded solutions
Solution
1
2
3
4
5
Index
1
1
3
3
5
4
2
5
4
3
2
2
3
3
4
-3
1
3
4
3
-1
5
3
5
5
-1
6
7
2
1
6
2
1
1
4
2
7
3
4
5
7
2
8
2
5
3
5
5
9
3
3
3
3
2
10
1
6
1
1
3
Using the above procedure the final solution for the entire population can be given
as in Table 3.6.
Backward transformation
is applied to each solution in Step (4). Taking the first
Solution
1
=
{−
0
.
435
,
0
.
321
,
0
.
432
,
1
.
543
,
0
.
987
}
, a illustrative example is given using
Equation 3.5.
x
1
=
(1+
−
0
.
435)
•
999
500
x
2
=
(1+0
.
001)
•
999
500
= 1
.
128
= 2
.
639
x
3
=
(1+0
.
501)
•
999
500
x
4
=
(1+1
.
002)
•
999
500
= 2
.
86
= 5
.
08
x
5
=
(1+1
.
502)
•
999
500
= 3
.
97
The
raw
results are given in Table 3.7 with tolerance of 3 d.p.
Each value in the population is rounded to the nearest integer as given in Table 3.8.
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