Perbandingan Antara Estimasi M dengan Type Welsch dengan Least Trimmed Square untuk Mengatasi Adanya Data Pencilan
LAMPIRAN 1
Hasil perhitungan dengan matlab iterasi estimasi M type Welsch
ITERASI I
w=[0.9832,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0.9825,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0.9345,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0;0,0,0,0.9813,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0.9
984,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0.9487,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0.8680,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0
,0,0,0,0,0,0,0.9995,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0.7250,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0.9999,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0.9378,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0
,0,0,0.9838,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0.6739,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0.9890,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0.6983,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.5
971,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.7523,0,0,0,0,0,0,0,0,0,0
,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8908,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0.9349,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9882,0,0
,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8164,0,0,0,0,0,0,0;0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8848,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0.9992,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9814,0,0,0,0;0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9665,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0.9244,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8
636,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.7581]
w=
Columns 1 through 7
0.9832
0
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0
0
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0
0.9825
0
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0.9345
0
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0
0.9813
0
0
0
Universitas Sumatera Utara
0
0
0
0
0.9984
0
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0
0
0
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0
0.9487
0
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0.8680
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Columns 8 through 14
0
0
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0
0
0
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0
0
0
0
0
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Universitas Sumatera Utara
0
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0
0
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0
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0.9995
0
0
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0.7250
0
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0
0
0
0
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0.9999
0
0
0
0
0
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0.9378
0
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0.9838
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0.6739
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0.9890
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Columns 15 through 21
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Universitas Sumatera Utara
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0.7523
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0.8908
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0.9349
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0.9882
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0.8164
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Columns 22 through 28
0
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Universitas Sumatera Utara
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0.9814
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0.9665
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0.8636
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0.7581
>>
y=[7.6;7.7;4.3;5.9;5;6.5;8.3;8.2;13.2;12.6;10.4;10.8;13.1;12.3;10.4;10.5;7.7;9.5;1
2;12.6;13.6;14.1;13.5;11.5;12;13;14.1;15.1]
y=
7.6000
7.7000
4.3000
5.9000
Universitas Sumatera Utara
5.0000
6.5000
8.3000
8.2000
13.2000
12.6000
10.4000
10.8000
13.1000
12.3000
10.4000
10.5000
7.7000
9.5000
12.0000
12.6000
13.6000
14.1000
13.5000
11.5000
12.0000
13.0000
14.1000
15.1000
>>
X=[1,8.2,4,23.005;1,7.6,5,23.873;1,4.6,0,26.417;1,4.3,1,24.868;1,5.9,2,29.895;1,5
,3,24.2;1,6.5,4,23.215;1,8.3,5,21.862;1,10.1,0,22.274;1,13.2,1,23.83;1,12.6,2,25.1
44;1,10.4,3,22.43;1,10.8,4,21.785;1,13.1,5,22.38;1,13.3,0,23.927;1,10.4,1,33.443;
1,10.5,2,24.859;1,7.7,3,22.686;1,10,0,21.789;1,12,1,22.041;1,12.1,4,21.033;1,13.
6,5,21.005;1,15,0,25.865;1,13.5,1,26.29;1,11.5,2,22.932;1,12,3,21.313;1,13,4,20.
769;1,14.1,5,21.393]
Universitas Sumatera Utara
X=
1.0000
8.2000
4.0000 23.0050
1.0000
7.6000
5.0000 23.8730
1.0000
4.6000
0 26.4170
1.0000
4.3000
1.0000 24.8680
1.0000
5.9000
2.0000 29.8950
1.0000
5.0000
3.0000 24.2000
1.0000
6.5000
4.0000 23.2150
1.0000
8.3000
5.0000 21.8620
1.0000 10.1000
0 22.2740
1.0000 13.2000
1.0000 23.8300
1.0000 12.6000
2.0000 25.1440
1.0000 10.4000
3.0000 22.4300
1.0000 10.8000
4.0000 21.7850
1.0000 13.1000
5.0000 22.3800
1.0000 13.3000
0 23.9270
1.0000 10.4000
1.0000 33.4430
1.0000 10.5000
2.0000 24.8590
1.0000
3.0000 22.6860
7.7000
1.0000 10.0000
0 21.7890
1.0000 12.0000
1.0000 22.0410
1.0000 12.1000 4.0000 21.0330
1.0000 13.6000
5.0000 21.0050
1.0000 15.0000
0 25.8650
1.0000 13.5000
1.0000 26.2900
1.0000 11.5000
2.0000 22.9320
1.0000 12.0000
3.0000 21.3130
1.0000 13.0000
4.0000 20.7690
1.0000 14.1000
5.0000 21.3930
Universitas Sumatera Utara
>> A=X’
A=
Columns 1 through 7
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.2000
7.6000
4.6000
4.3000
5.9000
5.0000
6.5000
4.0000
5.0000
0
1.0000
2.0000
3.0000
4.0000
23.0050 23.8730 26.4170 24.8680 29.8950 24.2000 23.2150
Columns 8 through 14
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.3000 10.1000 13.2000 12.6000 10.4000 10.8000 13.1000
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.8620 22.2740 23.8300 25.1440 22.4300 21.7850 22.3800
Columns 15 through 21
1.0000
1.0000
1.0000
1.0000
13.3000 10.4000 10.5000
0
1.0000
2.0000
1.0000
1.0000
1.0000
7.7000 10.0000 12.0000 12.1000
3.0000
0
1.0000
4.0000
23.9270 33.4430 24.8590 22.6860 21.7890 22.0410 21.0330
Columns 22 through 28
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
13.6000 15.0000 13.5000 11.5000 12.0000 13.0000 14.1000
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.0050 25.8650 26.2900 22.9320 21.3130 20.7690 21.3930
Universitas Sumatera Utara
>> J=inv(A*w*X)
J=
7.0254 -0.0961 -0.1874 -0.2334
-0.0961
0.0046
0.0013
0.0019
-0.1874
0.0013
0.0167
0.0056
-0.2334
0.0019
0.0056
0.0084
>> K=A*w*y
K=
1.0e+003 *
0.2620
2.8937
0.6709
6.1084
>> β =J*K
β =
10.9825
0.7686
-0.0725
-0.3476
Universitas Sumatera Utara
ITERASI II
w=[0.7090,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0.9630,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0.8282,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0;0,0,0,0.9811,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0.9
99,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0.9839,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0.9217,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,
0,0,0,0,0,0,0.7763,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0.4280,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0.9948,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0;0,0,0,0,0,0,0,0,0,0,0.7148,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,
0,0,0.9954,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0.6092,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0.9368,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0.3368,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.1
613,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.3140,0,0,0,0,0,0,0,0,0,0
,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9169,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8621,0,0,0,0,0,0,0;0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9812,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0.9999,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9289,0,0,0,0;0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9848,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0.9694,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9
316,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8149]
w=
Columns 1 through 7
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0.9630
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0.8282
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0.9811
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0.9990
0
0
Universitas Sumatera Utara
0
0
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0.9839
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0.9217
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 8 through 14
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0.7763
0
0
0
0
0
0
0
0
0
0
0
0
0.4280
0
0
0
0
0
0
0
0.9948
0
0
0
0
0
0
0
0.7148
0
0
0
0
0
0
0
0.9954
0
0
0
0
0
0
0
0.6092
0
0
0
0
0
0
0
0.9368
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
0
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0
0
0
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0
0
0
0
0
0
0
0
0
0
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0
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0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 15 through 21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.3368
0
0
0
0
0
0
0
0.1613
0
0
0
0
0
0
0
0.3140
0
0
0
0
0
0
0
0.9169
0
0
0
0
0
0
0
0.8658
0
0
0
0
0
0
0
0.9971
0
0
0
0
0
0
0
0.8621
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 22 through 28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
0
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0
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0
0
0
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0
0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.9812
0
0
0
0
0
0
0
0.9999
0
0
0
0
0
0
0
0.9289
0
0
0
0
0
0
0 0.9848
0
0
0
0
0
0
0
0.9694
0
0
0
0
0
0
0
0.9316
0
0
0
0
0
0
0
0.8149
>>
X=[1,8.2,4,23.005;1,7.6,5,23.873;1,4.6,0,26.417;1,4.3,1,24.868;1,5.9,2,29.895;1,5
,3,24.2;1,6.5,4,23.215;1,8.3,5,21.862;1,10.1,0,22.274;1,13.2,1,23.83;1,12.6,2,25.1
44;1,10.4,3,22.43;1,10.8,4,21.785;1,13.1,5,22.38;1,13.3,0,23.927;1,10.4,1,33.443;
1,10.5,2,24.859;1,7.7,3,22.686;1,10,0,21.789;1,12,1,22.041;1,12.1,4,21.033;1,13.
6,5,21.005;1,15,0,25.865;1,13.5,1,26.29;1,11.5,2,22.932;1,12,3,21.313;1,13,4,20.
769;1,14.1,5,21.393]
X=
1.0000
8.2000
4.0000 23.0050
Universitas Sumatera Utara
1.0000
7.6000
5.0000 23.8730
1.0000
4.6000
0 26.4170
1.0000
4.3000
1.0000 24.8680
1.0000
5.9000
2.0000 29.8950
1.0000
5.0000
3.0000 24.2000
1.0000
6.5000
4.0000 23.2150
1.0000
8.3000
5.0000 21.8620
1.0000 10.1000
0 22.2740
1.0000 13.2000
1.0000 23.8300
1.0000 12.6000
2.0000 25.1440
1.0000 10.4000
3.0000 22.4300
1.0000 10.8000
4.0000 21.7850
1.0000 13.1000
5.0000 22.3800
1.0000 13.3000
0 23.9270
1.0000 10.4000
1.0000 33.4430
1.0000 10.5000
2.0000 24.8590
1.0000
3.0000 22.6860
7.7000
1.0000 10.0000
0 21.7890
1.0000 12.0000
1.0000 22.0410
1.0000 12.1000 4.0000 21.0330
1.0000 13.6000
5.0000 21.0050
1.0000 15.0000
0 25.8650
1.0000 13.5000
1.0000 26.2900
1.0000 11.5000
2.0000 22.9320
1.0000 12.0000
3.0000 21.3130
1.0000 13.0000
4.0000 20.7690
1.0000 14.1000
5.0000 21.3930
>> A=X'
A=
Universitas Sumatera Utara
Columns 1 through 7
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.2000
7.6000
4.6000
4.3000
5.9000
5.0000
6.5000
4.0000
5.0000
0
1.0000
2.0000
3.0000
4.0000
23.0050 23.8730 26.4170 24.8680 29.8950 24.2000 23.2150
Columns 8 through 14
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.3000 10.1000 13.2000 12.6000 10.4000 10.8000 13.1000
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.8620 22.2740 23.8300 25.1440 22.4300 21.7850 22.3800
Columns 15 through 21
1.0000
1.0000
1.0000
1.0000
13.3000 10.4000 10.5000
0
1.0000
2.0000
1.0000
1.0000
1.0000
7.7000 10.0000 12.0000 12.1000
3.0000
0
1.0000
4.0000
23.9270 33.4430 24.8590 22.6860 21.7890 22.0410 21.0330
Columns 22 through 28
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
13.6000 15.0000 13.5000 11.5000 12.0000 13.0000 14.1000
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.0050 25.8650 26.2900 22.9320 21.3130 20.7690 21.3930
>> J=inv(A*w*X)
J=
Universitas Sumatera Utara
10.1329 -0.1263 -0.2495 -0.3469
-0.1263
0.0050
0.0016
0.0030
-0.2495
0.0016
0.0193
0.0078
-0.3469
0.0030
0.0078
0.0126
>>
y=[7.6;7.7;4.3;5.9;5;6.5;8.3;8.2;13.2;12.6;10.4;10.8;13.1;12.3;10.4;10.5;7.7;9.5;1
2;12.6;13.6;14.1;13.5;11.5;12;13;14.1;15.1]
y=
7.6000
7.7000
4.3000
5.9000
5.0000
6.5000
8.3000
8.2000
13.2000
12.6000
10.4000
10.8000
13.1000
12.3000
10.4000
10.5000
7.7000
9.5000
12.0000
12.6000
13.6000
Universitas Sumatera Utara
14.1000
13.5000
11.5000
12.0000
13.0000
14.1000
15.1000
>> K=A*w*y
K=
1.0e+003 *
0.2423
2.6904
0.6527
5.5885
>> β =J*K
β=
14.1079
0.7489
-0.1159
-0.4651
ITERASI III
>>w=[0.6784,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0.9699,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0.8486,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0;0,0,0,0.9887,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,
Universitas Sumatera Utara
0.9368,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0.9890,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0.9416,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0;0,0,0,0,0,0,0,0.7168,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0.5344,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0.9934,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0.7705,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,
0,0,0,0,0.9825,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0.6734,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0.9326,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0.3217,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0.0403,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.3398,0,0,0,0,0,0,0,0,
0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9528,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0.9505,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9971,
0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9227,0,0,0,0,0,0,0;0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9957,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0.9938,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9756,0,0,0,0;
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9945,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0.9952,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0.9750,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8498]
w=
Columns 1 through 7
0.6784
0
0
0
0
0
0
0
0.9699
0
0
0
0
0
0
0
0.8486
0
0
0
0
0
0
0
0.9887
0
0
0
0
0
0
0
0.9368
0
0
0
0
0
0
0
0.9890
0
0
0
0
0
0
0
0.9416
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
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0
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0
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0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 8 through 14
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.7168
0
0
0
0
0
0
0
0.5344
0
0
0
0
0
0
0
0.9934
0
0
0
0
0
0
0
0.7705
0
0
0
Universitas Sumatera Utara
0
0
0
0
0.9825
0
0
0
0
0
0
0
0.6734
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.9326
Columns 15 through 21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.3217
0
0
0
0
0
0
0
0.0403
0
0
0
0
0
0
0
0.3398
0
0
0
0
0
0
0
0.9528
0
0
0
0
0
0
0
0.9505
0
0
0
0
0
0
0
0.9971
0
0
0
0
0
0
0
0.9227
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 22 through 28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
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0
0
0
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0
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0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
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0
0
0
0
0
0
0
0
0
0.9957
0
0
0
0
0
0
0
0.9938
0
0
0
0
0
0
0
0.9756
0
0
0
0
0
0
0
0.9945
0
0
0
0
0
0
0
0.9952
0
0
0
0
0
0
0
0.9750
0
0
0
0
0
0
0
0.8498
>>
y=[7.6;7.7;4.3;5.9;5;6.5;8.3;8.2;13.2;12.6;10.4;10.8;13.1;12.3;10.4;10.5;7.7;9.5;1
2;12.6;13.6;14.1;13.5;11.5;12;13;14.1;15.1]
y=
7.6000
7.7000
4.3000
5.9000
5.0000
6.5000
8.3000
8.2000
13.2000
12.6000
Universitas Sumatera Utara
10.4000
10.8000
13.1000
12.3000
10.4000
10.5000
7.7000
9.5000
12.0000
12.6000
13.6000
14.1000
13.5000
11.5000
12.0000
13.0000
14.1000
15.1000
>>
X=[1,8.2,4,23.005;1,7.6,5,23.873;1,4.6,0,26.417;1,4.3,1,24.868;1,5.9,2,29.895;1,5
,3,24.2;1,6.5,4,23.215;1,8.3,5,21.862;1,10.1,0,22.274;1,13.2,1,23.83;1,12.6,2,25.1
44;1,10.4,3,22.43;1,10.8,4,21.785;1,13.1,5,22.38;1,13.3,0,23.927;1,10.4,1,33.443;
1,10.5,2,24.859;1,7.7,3,22.686;1,10,0,21.789;1,12,1,22.041;1,12.1,4,21.033;1,13.
6,5,21.005;1,15,0,25.865;1,13.5,1,26.29;1,11.5,2,22.932;1,12,3,21.313;1,13,4,20.
769;1,14.1,5,21.393]
X=
1.0000
8.2000
4.0000 23.0050
1.0000
7.6000
5.0000 23.8730
1.0000
4.6000
0 26.4170
Universitas Sumatera Utara
1.0000
4.3000
1.0000 24.8680
1.0000
5.9000
2.0000 29.8950
1.0000
5.0000
3.0000 24.2000
1.0000
6.5000
4.0000 23.2150
1.0000
8.3000
5.0000 21.8620
1.0000 10.1000
0 22.2740
1.0000 13.2000
1.0000 23.8300
1.0000 12.6000
2.0000 25.1440
1.0000 10.4000
3.0000 22.4300
1.0000 10.8000
4.0000 21.7850
1.0000 13.1000
5.0000 22.3800
1.0000 13.3000
0 23.9270
1.0000 10.4000
1.0000 33.4430
1.0000 10.5000
2.0000 24.8590
1.0000
3.0000 22.6860
7.7000
1.0000 10.0000
0 21.7890
1.0000 12.0000
1.0000 22.0410
1.0000 12.1000
4.0000 21.0330
1.0000 13.6000
5.0000 21.0050
1.0000 15.0000
0 25.8650
1.0000 13.5000
1.0000 26.2900
1.0000 11.5000
2.0000 22.9320
1.0000 12.0000
3.0000 21.3130
1.0000 13.0000
4.0000 20.7690
1.0000 14.1000
5.0000 21.3930
>> K=A*w*y
K=
1.0e+003 *
Universitas Sumatera Utara
0.2475
2.7521
0.6649
5.6879
>> J=inv(A*w*X)
J=
11.1556 -0.1335 -0.2566 -0.3879
-0.1335
0.0050
0.0016 0.0033
-0.2566
0.0016
0.0189
0.0082
-0.3879
0.0033
0.0082
0.0142
>> β =J*K
β =
16.4382
0.7283
-0.1536
-0.5517
ITERASI IV
w=[0.6719,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0.9805,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0.8634,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0;0,0,0,0.9928,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0.8
192,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0.9906,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0.9482,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0
,0,0,0,0,0,0,0.6896,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0.6036,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0.9960,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0.8281,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0
,0,0,0.9753,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0.6982,0,0,0,0,0,0
Universitas Sumatera Utara
,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0.9456,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0.3262,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0
105,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.3745,0,0,0,0,0,0,0,0,0,0
,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9679,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0.9843,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9878,0,0
,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9449,0,0,0,0,0,0,0;0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9977,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0.9713,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9978,0,0,0,0;0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9963,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0.9997,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9
876,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8495]
w=
Columns 1 through 7
0.6719
0
0
0
0
0
0
0
0.9805
0
0
0
0
0
0
0
0.8634
0
0
0
0
0
0
0
0.9928
0
0
0
0
0
0
0
0.8192
0
0
0
0
0
0
0
0.9906
0
0
0
0
0
0
0
0.9482
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 8 through 14
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.6896
0
0
0
0
0
0
0
0.6036
0
0
0
0
0
0
0
0.9960
0
0
0
0
0
0
0
0.8281
0
0
0
0
0
0
0
0.9753
0
0
0
0
0
0
0
0.6982
0
0
0
0
0
0
0
0.9456
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 15 through 21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.3262
0
0
0
0
0
0
0
0.0105
0
0
0
0
0
0
0
0.3745
0
0
0
0
0
0
0
0.9679
0
0
0
Universitas Sumatera Utara
0
0
0
0
0.9843
0
0
0
0
0
0
0
0.9878
0
0
0
0
0
0
0
0.9449
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 22 through 28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.9977
0
0
0
0
0
0
0
0.9713
0
0
0
0
0
0
0
0.9978
0
0
0
0
0
0
0
0.9963
0
0
0
0
0
0
0
0.9997
0
0
0
0
0
0
0
0.9876
0
0
0
0
0
0
0
0.8495
>>
X=[1,8.2,4,23.005;1,7.6,5,23.873;1,4.6,0,26.417;1,4.3,1,24.868;1,5.9,2,29.895;1,5
,3,24.2;1,6.5,4,23.215;1,8.3,5,21.862;1,10.1,0,22.274;1,13.2,1,23.83;1,12.6,2,25.1
44;1,10.4,3,22.43;1,10.8,4,21.785;1,13.1,5,22.38;1,13.3,0,23.927;1,10.4,1,33.443;
1,10.5,2,24.859;1,7.7,3,22.686;1,10,0,21.789;1,12,1,22.041;1,12.1,4,21.033;1,13.
6,5,21.005;1,15,0,25.865;1,13.5,1,26.29;1,11.5,2,22.932;1,12,3,21.313;1,13,4,20.
769;1,14.1,5,21.393]
X=
1.0000
8.2000
4.0000 23.0050
1.0000
7.6000
5.0000 23.8730
1.0000
4.6000
0 26.4170
1.0000
4.3000
1.0000 24.8680
1.0000
5.9000
2.0000 29.8950
1.0000
5.0000
3.0000 24.2000
1.0000
6.5000
4.0000 23.2150
1.0000
8.3000
5.0000 21.8620
1.0000 10.1000
0 22.2740
1.0000 13.2000
1.0000 23.8300
1.0000 12.6000
2.0000 25.1440
1.0000 10.4000
3.0000 22.4300
Universitas Sumatera Utara
1.0000 10.8000
4.0000 21.7850
1.0000 13.1000
5.0000 22.3800
1.0000 13.3000
0 23.9270
1.0000 10.4000
1.0000 33.4430
1.0000 10.5000
2.0000 24.8590
1.0000
3.0000 22.6860
7.7000
1.0000 10.0000
0 21.7890
1.0000 12.0000
1.0000 22.0410
1.0000 12.1000
4.0000 21.0330
1.0000 13.6000
5.0000 21.0050
1.0000 15.0000
0 25.8650
1.0000 13.5000
1.0000 26.2900
1.0000 11.5000
2.0000 22.9320
1.0000 12.0000
3.0000 21.3130
1.0000 13.0000
4.0000 20.7690
1.0000 14.1000
5.0000 21.3930
>> A=X'
A=
Columns 1 through 7
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.2000
7.6000
4.6000
4.3000
5.9000
5.0000
6.5000
4.0000
5.0000
0 1.0000
2.0000
3.0000
4.0000
23.0050 23.8730 26.4170 24.8680 29.8950 24.2000 23.2150
Columns 8 through 14
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.3000 10.1000 13.2000 12.6000 10.4000 10.8000 13.1000
Universitas Sumatera Utara
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.8620 22.2740 23.8300 25.1440 22.4300 21.7850 22.3800
Columns 15 through 21
1.0000
1.0000
1.0000
1.0000
13.3000 10.4000 10.5000
0
1.0000
2.0000
1.0000
1.0000
1.0000
7.7000 10.0000 12.0000 12.1000
3.0000
0
1.0000
4.0000
23.9270 33.4430 24.8590 22.6860 21.7890 22.0410 21.0330
Columns 22 through 28
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
13.6000 15.0000 13.5000 11.5000 12.0000 13.0000 14.1000
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.0050 25.8650 26.2900 22.9320 21.3130 20.7690 21.3930
>>
y=[7.6;7.7;4.3;5.9;5;6.5;8.3;8.2;13.2;12.6;10.4;10.8;13.1;12.3;10.4;10.5;7.7;9.5;1
2;12.6;13.6;14.1;13.5;11.5;12;13;14.1;15.1]
y=
7.6000
7.7000
4.3000
5.9000
5.0000
6.5000
8.3000
8.2000
13.2000
Universitas Sumatera Utara
12.6000
10.4000
10.8000
13.1000
12.3000
10.4000
10.5000
7.7000
9.5000
12.0000
12.6000
13.6000
14.1000
13.5000
11.5000
12.0000
13.0000
14.1000
15.1000
>> J=inv(A*w*X)
J=
11.6986 -0.1343 -0.2610 -0.4110
-0.1343
0.0050
0.0015
0.0034
-0.2610
0.0015
0.0187
0.0084
-0.4110
0.0034
0.0084
0.0152
>> K=A*w*y
K=
Universitas Sumatera Utara
1.0e+003 *
0.2498
2.7799
0.6693
5.7332
>> β =J*K
β =
17.5284
0.7201
-0.1721
-0.5931
LAMPIRAN II
Hasil program SPSS
Dengan program SPSS 19 akan diperoleh hasil sebagai berikut :
REGRESSION
Variables Entered/Removed
b
Variables
Model
1
Variables Entered Removed
X3, X1, X2
a
.
Method
Enter
a. All requested variables entered.
b. Dependent Variable: Y
Model Summary
Universitas Sumatera Utara
Model
1
R
,909
a
Adjusted R
Std. Error of the
R Square
Square
Estimate
,826
,805
1,33032
a. Predictors: (Constant), X3, X1, X2
Model
1
Sum of Squares
Df
Mean Square
F
Sig.
Regression
202,176
3
67,392
38,080
,000
Residual
42,474
24
1,770
Total
244,650
27
a
a. Predictors: (Constant), X3, X1, X2
b. Dependent Variable: Y
Coefficients
a
Standardized
Unstandardized Coefficients
Coefficients
B
Std. Error
Beta
(Constant)
9,590
3,125
X1
,777
,086
X2
-,026
X3
-,295
Model
1
T
Sig.
3,069
,005
,800
9,013
,000
,161
-,015
-,158
,875
,107
-,275
-2,762
,011
a. Dependent Variable: Y
Hasil program SPSS untuk Least Trimmed Square
Iterasi I
Model Summary
Adjusted R
Model R
1
,909a
Std. Error of
R Square Square
the Estimate
,826
1,3303197
,805
Universitas Sumatera Utara
Model Summary
Adjusted R
Model R
1
,909a
Std. Error of
R Square Square
the Estimate
,826
1,3303197
,805
a. Predictors: (Constant), X3, X1, X2
Iterasi II
Model Summary
Adjusted R
Model R
1
,972a
Std. Error of
R Square Square
the Estimate
,945
106095,3938
,917
475
Predictors: (Constant), X3, X1, X
Estimasi dengan Metode Kuadrat Terkecil
Universitas Sumatera Utara
Hasil perhitungan dengan matlab iterasi estimasi M type Welsch
ITERASI I
w=[0.9832,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0.9825,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0.9345,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0;0,0,0,0.9813,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0.9
984,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0.9487,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0.8680,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0
,0,0,0,0,0,0,0.9995,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0.7250,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0.9999,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0.9378,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0
,0,0,0.9838,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0.6739,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0.9890,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0.6983,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.5
971,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.7523,0,0,0,0,0,0,0,0,0,0
,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8908,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0.9349,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9882,0,0
,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8164,0,0,0,0,0,0,0;0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8848,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0.9992,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9814,0,0,0,0;0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9665,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0.9244,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8
636,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.7581]
w=
Columns 1 through 7
0.9832
0
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0
0
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0
0.9825
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0.9345
0
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0.9813
0
0
0
Universitas Sumatera Utara
0
0
0
0
0.9984
0
0
0
0
0
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0
0.9487
0
0
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0
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0.8680
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Columns 8 through 14
0
0
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0
0
0
0
0
0
0
0
0
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0
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Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
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0.9995
0
0
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0
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0.7250
0
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0
0
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0.9999
0
0
0
0
0
0
0
0.9378
0
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0.9838
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0.6739
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0.9890
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Columns 15 through 21
0
0
0
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0
0
0
0
0
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0
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Universitas Sumatera Utara
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0.7523
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0.8908
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0.9349
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0.9882
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0.8164
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Columns 22 through 28
0
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0
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0
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0
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Universitas Sumatera Utara
0
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0.8848
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0.9992
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0.9814
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0.9665
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0.9244
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0.8636
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0.7581
>>
y=[7.6;7.7;4.3;5.9;5;6.5;8.3;8.2;13.2;12.6;10.4;10.8;13.1;12.3;10.4;10.5;7.7;9.5;1
2;12.6;13.6;14.1;13.5;11.5;12;13;14.1;15.1]
y=
7.6000
7.7000
4.3000
5.9000
Universitas Sumatera Utara
5.0000
6.5000
8.3000
8.2000
13.2000
12.6000
10.4000
10.8000
13.1000
12.3000
10.4000
10.5000
7.7000
9.5000
12.0000
12.6000
13.6000
14.1000
13.5000
11.5000
12.0000
13.0000
14.1000
15.1000
>>
X=[1,8.2,4,23.005;1,7.6,5,23.873;1,4.6,0,26.417;1,4.3,1,24.868;1,5.9,2,29.895;1,5
,3,24.2;1,6.5,4,23.215;1,8.3,5,21.862;1,10.1,0,22.274;1,13.2,1,23.83;1,12.6,2,25.1
44;1,10.4,3,22.43;1,10.8,4,21.785;1,13.1,5,22.38;1,13.3,0,23.927;1,10.4,1,33.443;
1,10.5,2,24.859;1,7.7,3,22.686;1,10,0,21.789;1,12,1,22.041;1,12.1,4,21.033;1,13.
6,5,21.005;1,15,0,25.865;1,13.5,1,26.29;1,11.5,2,22.932;1,12,3,21.313;1,13,4,20.
769;1,14.1,5,21.393]
Universitas Sumatera Utara
X=
1.0000
8.2000
4.0000 23.0050
1.0000
7.6000
5.0000 23.8730
1.0000
4.6000
0 26.4170
1.0000
4.3000
1.0000 24.8680
1.0000
5.9000
2.0000 29.8950
1.0000
5.0000
3.0000 24.2000
1.0000
6.5000
4.0000 23.2150
1.0000
8.3000
5.0000 21.8620
1.0000 10.1000
0 22.2740
1.0000 13.2000
1.0000 23.8300
1.0000 12.6000
2.0000 25.1440
1.0000 10.4000
3.0000 22.4300
1.0000 10.8000
4.0000 21.7850
1.0000 13.1000
5.0000 22.3800
1.0000 13.3000
0 23.9270
1.0000 10.4000
1.0000 33.4430
1.0000 10.5000
2.0000 24.8590
1.0000
3.0000 22.6860
7.7000
1.0000 10.0000
0 21.7890
1.0000 12.0000
1.0000 22.0410
1.0000 12.1000 4.0000 21.0330
1.0000 13.6000
5.0000 21.0050
1.0000 15.0000
0 25.8650
1.0000 13.5000
1.0000 26.2900
1.0000 11.5000
2.0000 22.9320
1.0000 12.0000
3.0000 21.3130
1.0000 13.0000
4.0000 20.7690
1.0000 14.1000
5.0000 21.3930
Universitas Sumatera Utara
>> A=X’
A=
Columns 1 through 7
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.2000
7.6000
4.6000
4.3000
5.9000
5.0000
6.5000
4.0000
5.0000
0
1.0000
2.0000
3.0000
4.0000
23.0050 23.8730 26.4170 24.8680 29.8950 24.2000 23.2150
Columns 8 through 14
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.3000 10.1000 13.2000 12.6000 10.4000 10.8000 13.1000
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.8620 22.2740 23.8300 25.1440 22.4300 21.7850 22.3800
Columns 15 through 21
1.0000
1.0000
1.0000
1.0000
13.3000 10.4000 10.5000
0
1.0000
2.0000
1.0000
1.0000
1.0000
7.7000 10.0000 12.0000 12.1000
3.0000
0
1.0000
4.0000
23.9270 33.4430 24.8590 22.6860 21.7890 22.0410 21.0330
Columns 22 through 28
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
13.6000 15.0000 13.5000 11.5000 12.0000 13.0000 14.1000
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.0050 25.8650 26.2900 22.9320 21.3130 20.7690 21.3930
Universitas Sumatera Utara
>> J=inv(A*w*X)
J=
7.0254 -0.0961 -0.1874 -0.2334
-0.0961
0.0046
0.0013
0.0019
-0.1874
0.0013
0.0167
0.0056
-0.2334
0.0019
0.0056
0.0084
>> K=A*w*y
K=
1.0e+003 *
0.2620
2.8937
0.6709
6.1084
>> β =J*K
β =
10.9825
0.7686
-0.0725
-0.3476
Universitas Sumatera Utara
ITERASI II
w=[0.7090,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0.9630,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0.8282,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0;0,0,0,0.9811,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0.9
99,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0.9839,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0.9217,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,
0,0,0,0,0,0,0.7763,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0.4280,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0.9948,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0;0,0,0,0,0,0,0,0,0,0,0.7148,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,
0,0,0.9954,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0.6092,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0.9368,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0.3368,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.1
613,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.3140,0,0,0,0,0,0,0,0,0,0
,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9169,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0.8658,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9971,0,0
,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8621,0,0,0,0,0,0,0;0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9812,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0.9999,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9289,0,0,0,0;0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9848,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0.9694,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9
316,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8149]
w=
Columns 1 through 7
0.7090
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0.9630
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0.8282
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0.9811
0
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0.9990
0
0
Universitas Sumatera Utara
0
0
0
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0
0.9839
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0.9217
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 8 through 14
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0.7763
0
0
0
0
0
0
0
0
0
0
0
0
0.4280
0
0
0
0
0
0
0
0.9948
0
0
0
0
0
0
0
0.7148
0
0
0
0
0
0
0
0.9954
0
0
0
0
0
0
0
0.6092
0
0
0
0
0
0
0
0.9368
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 15 through 21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.3368
0
0
0
0
0
0
0
0.1613
0
0
0
0
0
0
0
0.3140
0
0
0
0
0
0
0
0.9169
0
0
0
0
0
0
0
0.8658
0
0
0
0
0
0
0
0.9971
0
0
0
0
0
0
0
0.8621
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 22 through 28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
0
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0
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0
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0
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0
0
0
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0
0
0
0
0
0
0
0
0
0
0
0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.9812
0
0
0
0
0
0
0
0.9999
0
0
0
0
0
0
0
0.9289
0
0
0
0
0
0
0 0.9848
0
0
0
0
0
0
0
0.9694
0
0
0
0
0
0
0
0.9316
0
0
0
0
0
0
0
0.8149
>>
X=[1,8.2,4,23.005;1,7.6,5,23.873;1,4.6,0,26.417;1,4.3,1,24.868;1,5.9,2,29.895;1,5
,3,24.2;1,6.5,4,23.215;1,8.3,5,21.862;1,10.1,0,22.274;1,13.2,1,23.83;1,12.6,2,25.1
44;1,10.4,3,22.43;1,10.8,4,21.785;1,13.1,5,22.38;1,13.3,0,23.927;1,10.4,1,33.443;
1,10.5,2,24.859;1,7.7,3,22.686;1,10,0,21.789;1,12,1,22.041;1,12.1,4,21.033;1,13.
6,5,21.005;1,15,0,25.865;1,13.5,1,26.29;1,11.5,2,22.932;1,12,3,21.313;1,13,4,20.
769;1,14.1,5,21.393]
X=
1.0000
8.2000
4.0000 23.0050
Universitas Sumatera Utara
1.0000
7.6000
5.0000 23.8730
1.0000
4.6000
0 26.4170
1.0000
4.3000
1.0000 24.8680
1.0000
5.9000
2.0000 29.8950
1.0000
5.0000
3.0000 24.2000
1.0000
6.5000
4.0000 23.2150
1.0000
8.3000
5.0000 21.8620
1.0000 10.1000
0 22.2740
1.0000 13.2000
1.0000 23.8300
1.0000 12.6000
2.0000 25.1440
1.0000 10.4000
3.0000 22.4300
1.0000 10.8000
4.0000 21.7850
1.0000 13.1000
5.0000 22.3800
1.0000 13.3000
0 23.9270
1.0000 10.4000
1.0000 33.4430
1.0000 10.5000
2.0000 24.8590
1.0000
3.0000 22.6860
7.7000
1.0000 10.0000
0 21.7890
1.0000 12.0000
1.0000 22.0410
1.0000 12.1000 4.0000 21.0330
1.0000 13.6000
5.0000 21.0050
1.0000 15.0000
0 25.8650
1.0000 13.5000
1.0000 26.2900
1.0000 11.5000
2.0000 22.9320
1.0000 12.0000
3.0000 21.3130
1.0000 13.0000
4.0000 20.7690
1.0000 14.1000
5.0000 21.3930
>> A=X'
A=
Universitas Sumatera Utara
Columns 1 through 7
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.2000
7.6000
4.6000
4.3000
5.9000
5.0000
6.5000
4.0000
5.0000
0
1.0000
2.0000
3.0000
4.0000
23.0050 23.8730 26.4170 24.8680 29.8950 24.2000 23.2150
Columns 8 through 14
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.3000 10.1000 13.2000 12.6000 10.4000 10.8000 13.1000
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.8620 22.2740 23.8300 25.1440 22.4300 21.7850 22.3800
Columns 15 through 21
1.0000
1.0000
1.0000
1.0000
13.3000 10.4000 10.5000
0
1.0000
2.0000
1.0000
1.0000
1.0000
7.7000 10.0000 12.0000 12.1000
3.0000
0
1.0000
4.0000
23.9270 33.4430 24.8590 22.6860 21.7890 22.0410 21.0330
Columns 22 through 28
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
13.6000 15.0000 13.5000 11.5000 12.0000 13.0000 14.1000
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.0050 25.8650 26.2900 22.9320 21.3130 20.7690 21.3930
>> J=inv(A*w*X)
J=
Universitas Sumatera Utara
10.1329 -0.1263 -0.2495 -0.3469
-0.1263
0.0050
0.0016
0.0030
-0.2495
0.0016
0.0193
0.0078
-0.3469
0.0030
0.0078
0.0126
>>
y=[7.6;7.7;4.3;5.9;5;6.5;8.3;8.2;13.2;12.6;10.4;10.8;13.1;12.3;10.4;10.5;7.7;9.5;1
2;12.6;13.6;14.1;13.5;11.5;12;13;14.1;15.1]
y=
7.6000
7.7000
4.3000
5.9000
5.0000
6.5000
8.3000
8.2000
13.2000
12.6000
10.4000
10.8000
13.1000
12.3000
10.4000
10.5000
7.7000
9.5000
12.0000
12.6000
13.6000
Universitas Sumatera Utara
14.1000
13.5000
11.5000
12.0000
13.0000
14.1000
15.1000
>> K=A*w*y
K=
1.0e+003 *
0.2423
2.6904
0.6527
5.5885
>> β =J*K
β=
14.1079
0.7489
-0.1159
-0.4651
ITERASI III
>>w=[0.6784,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0.9699,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0.8486,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0;0,0,0,0.9887,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,
Universitas Sumatera Utara
0.9368,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0.9890,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0.9416,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0;0,0,0,0,0,0,0,0.7168,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0.5344,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0.9934,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0.7705,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,
0,0,0,0,0.9825,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0.6734,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0.9326,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0.3217,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0.0403,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.3398,0,0,0,0,0,0,0,0,
0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9528,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0.9505,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9971,
0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9227,0,0,0,0,0,0,0;0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9957,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0.9938,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9756,0,0,0,0;
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9945,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0.9952,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0.9750,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8498]
w=
Columns 1 through 7
0.6784
0
0
0
0
0
0
0
0.9699
0
0
0
0
0
0
0
0.8486
0
0
0
0
0
0
0
0.9887
0
0
0
0
0
0
0
0.9368
0
0
0
0
0
0
0
0.9890
0
0
0
0
0
0
0
0.9416
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
0
0
0
0
0
0
0
0
0
0
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0
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0
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0
0
0
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0
0
0
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0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 8 through 14
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.7168
0
0
0
0
0
0
0
0.5344
0
0
0
0
0
0
0
0.9934
0
0
0
0
0
0
0
0.7705
0
0
0
Universitas Sumatera Utara
0
0
0
0
0.9825
0
0
0
0
0
0
0
0.6734
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.9326
Columns 15 through 21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.3217
0
0
0
0
0
0
0
0.0403
0
0
0
0
0
0
0
0.3398
0
0
0
0
0
0
0
0.9528
0
0
0
0
0
0
0
0.9505
0
0
0
0
0
0
0
0.9971
0
0
0
0
0
0
0
0.9227
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 22 through 28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
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0
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0
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0
0
0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0.9957
0
0
0
0
0
0
0
0.9938
0
0
0
0
0
0
0
0.9756
0
0
0
0
0
0
0
0.9945
0
0
0
0
0
0
0
0.9952
0
0
0
0
0
0
0
0.9750
0
0
0
0
0
0
0
0.8498
>>
y=[7.6;7.7;4.3;5.9;5;6.5;8.3;8.2;13.2;12.6;10.4;10.8;13.1;12.3;10.4;10.5;7.7;9.5;1
2;12.6;13.6;14.1;13.5;11.5;12;13;14.1;15.1]
y=
7.6000
7.7000
4.3000
5.9000
5.0000
6.5000
8.3000
8.2000
13.2000
12.6000
Universitas Sumatera Utara
10.4000
10.8000
13.1000
12.3000
10.4000
10.5000
7.7000
9.5000
12.0000
12.6000
13.6000
14.1000
13.5000
11.5000
12.0000
13.0000
14.1000
15.1000
>>
X=[1,8.2,4,23.005;1,7.6,5,23.873;1,4.6,0,26.417;1,4.3,1,24.868;1,5.9,2,29.895;1,5
,3,24.2;1,6.5,4,23.215;1,8.3,5,21.862;1,10.1,0,22.274;1,13.2,1,23.83;1,12.6,2,25.1
44;1,10.4,3,22.43;1,10.8,4,21.785;1,13.1,5,22.38;1,13.3,0,23.927;1,10.4,1,33.443;
1,10.5,2,24.859;1,7.7,3,22.686;1,10,0,21.789;1,12,1,22.041;1,12.1,4,21.033;1,13.
6,5,21.005;1,15,0,25.865;1,13.5,1,26.29;1,11.5,2,22.932;1,12,3,21.313;1,13,4,20.
769;1,14.1,5,21.393]
X=
1.0000
8.2000
4.0000 23.0050
1.0000
7.6000
5.0000 23.8730
1.0000
4.6000
0 26.4170
Universitas Sumatera Utara
1.0000
4.3000
1.0000 24.8680
1.0000
5.9000
2.0000 29.8950
1.0000
5.0000
3.0000 24.2000
1.0000
6.5000
4.0000 23.2150
1.0000
8.3000
5.0000 21.8620
1.0000 10.1000
0 22.2740
1.0000 13.2000
1.0000 23.8300
1.0000 12.6000
2.0000 25.1440
1.0000 10.4000
3.0000 22.4300
1.0000 10.8000
4.0000 21.7850
1.0000 13.1000
5.0000 22.3800
1.0000 13.3000
0 23.9270
1.0000 10.4000
1.0000 33.4430
1.0000 10.5000
2.0000 24.8590
1.0000
3.0000 22.6860
7.7000
1.0000 10.0000
0 21.7890
1.0000 12.0000
1.0000 22.0410
1.0000 12.1000
4.0000 21.0330
1.0000 13.6000
5.0000 21.0050
1.0000 15.0000
0 25.8650
1.0000 13.5000
1.0000 26.2900
1.0000 11.5000
2.0000 22.9320
1.0000 12.0000
3.0000 21.3130
1.0000 13.0000
4.0000 20.7690
1.0000 14.1000
5.0000 21.3930
>> K=A*w*y
K=
1.0e+003 *
Universitas Sumatera Utara
0.2475
2.7521
0.6649
5.6879
>> J=inv(A*w*X)
J=
11.1556 -0.1335 -0.2566 -0.3879
-0.1335
0.0050
0.0016 0.0033
-0.2566
0.0016
0.0189
0.0082
-0.3879
0.0033
0.0082
0.0142
>> β =J*K
β =
16.4382
0.7283
-0.1536
-0.5517
ITERASI IV
w=[0.6719,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0.9805,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0.8634,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0;0,0,0,0.9928,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0.8
192,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0.9906,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0.9482,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0
,0,0,0,0,0,0,0.6896,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0.6036,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0.9960,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0.8281,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0
,0,0,0.9753,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0.6982,0,0,0,0,0,0
Universitas Sumatera Utara
,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0.9456,0,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0.3262,0,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0
105,0,0,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.3745,0,0,0,0,0,0,0,0,0,0
,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9679,0,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0.9843,0,0,0,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9878,0,0
,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9449,0,0,0,0,0,0,0;0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9977,0,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0.9713,0,0,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9978,0,0,0,0;0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9963,0,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0.9997,0,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9
876,0;0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.8495]
w=
Columns 1 through 7
0.6719
0
0
0
0
0
0
0
0.9805
0
0
0
0
0
0
0
0.8634
0
0
0
0
0
0
0
0.9928
0
0
0
0
0
0
0
0.8192
0
0
0
0
0
0
0
0.9906
0
0
0
0
0
0
0
0.9482
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 8 through 14
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.6896
0
0
0
0
0
0
0
0.6036
0
0
0
0
0
0
0
0.9960
0
0
0
0
0
0
0
0.8281
0
0
0
0
0
0
0
0.9753
0
0
0
0
0
0
0
0.6982
0
0
0
0
0
0
0
0.9456
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 15 through 21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.3262
0
0
0
0
0
0
0
0.0105
0
0
0
0
0
0
0
0.3745
0
0
0
0
0
0
0
0.9679
0
0
0
Universitas Sumatera Utara
0
0
0
0
0.9843
0
0
0
0
0
0
0
0.9878
0
0
0
0
0
0
0
0.9449
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Columns 22 through 28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Universitas Sumatera Utara
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.9977
0
0
0
0
0
0
0
0.9713
0
0
0
0
0
0
0
0.9978
0
0
0
0
0
0
0
0.9963
0
0
0
0
0
0
0
0.9997
0
0
0
0
0
0
0
0.9876
0
0
0
0
0
0
0
0.8495
>>
X=[1,8.2,4,23.005;1,7.6,5,23.873;1,4.6,0,26.417;1,4.3,1,24.868;1,5.9,2,29.895;1,5
,3,24.2;1,6.5,4,23.215;1,8.3,5,21.862;1,10.1,0,22.274;1,13.2,1,23.83;1,12.6,2,25.1
44;1,10.4,3,22.43;1,10.8,4,21.785;1,13.1,5,22.38;1,13.3,0,23.927;1,10.4,1,33.443;
1,10.5,2,24.859;1,7.7,3,22.686;1,10,0,21.789;1,12,1,22.041;1,12.1,4,21.033;1,13.
6,5,21.005;1,15,0,25.865;1,13.5,1,26.29;1,11.5,2,22.932;1,12,3,21.313;1,13,4,20.
769;1,14.1,5,21.393]
X=
1.0000
8.2000
4.0000 23.0050
1.0000
7.6000
5.0000 23.8730
1.0000
4.6000
0 26.4170
1.0000
4.3000
1.0000 24.8680
1.0000
5.9000
2.0000 29.8950
1.0000
5.0000
3.0000 24.2000
1.0000
6.5000
4.0000 23.2150
1.0000
8.3000
5.0000 21.8620
1.0000 10.1000
0 22.2740
1.0000 13.2000
1.0000 23.8300
1.0000 12.6000
2.0000 25.1440
1.0000 10.4000
3.0000 22.4300
Universitas Sumatera Utara
1.0000 10.8000
4.0000 21.7850
1.0000 13.1000
5.0000 22.3800
1.0000 13.3000
0 23.9270
1.0000 10.4000
1.0000 33.4430
1.0000 10.5000
2.0000 24.8590
1.0000
3.0000 22.6860
7.7000
1.0000 10.0000
0 21.7890
1.0000 12.0000
1.0000 22.0410
1.0000 12.1000
4.0000 21.0330
1.0000 13.6000
5.0000 21.0050
1.0000 15.0000
0 25.8650
1.0000 13.5000
1.0000 26.2900
1.0000 11.5000
2.0000 22.9320
1.0000 12.0000
3.0000 21.3130
1.0000 13.0000
4.0000 20.7690
1.0000 14.1000
5.0000 21.3930
>> A=X'
A=
Columns 1 through 7
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.2000
7.6000
4.6000
4.3000
5.9000
5.0000
6.5000
4.0000
5.0000
0 1.0000
2.0000
3.0000
4.0000
23.0050 23.8730 26.4170 24.8680 29.8950 24.2000 23.2150
Columns 8 through 14
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
8.3000 10.1000 13.2000 12.6000 10.4000 10.8000 13.1000
Universitas Sumatera Utara
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.8620 22.2740 23.8300 25.1440 22.4300 21.7850 22.3800
Columns 15 through 21
1.0000
1.0000
1.0000
1.0000
13.3000 10.4000 10.5000
0
1.0000
2.0000
1.0000
1.0000
1.0000
7.7000 10.0000 12.0000 12.1000
3.0000
0
1.0000
4.0000
23.9270 33.4430 24.8590 22.6860 21.7890 22.0410 21.0330
Columns 22 through 28
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
13.6000 15.0000 13.5000 11.5000 12.0000 13.0000 14.1000
5.0000
0
1.0000
2.0000
3.0000
4.0000
5.0000
21.0050 25.8650 26.2900 22.9320 21.3130 20.7690 21.3930
>>
y=[7.6;7.7;4.3;5.9;5;6.5;8.3;8.2;13.2;12.6;10.4;10.8;13.1;12.3;10.4;10.5;7.7;9.5;1
2;12.6;13.6;14.1;13.5;11.5;12;13;14.1;15.1]
y=
7.6000
7.7000
4.3000
5.9000
5.0000
6.5000
8.3000
8.2000
13.2000
Universitas Sumatera Utara
12.6000
10.4000
10.8000
13.1000
12.3000
10.4000
10.5000
7.7000
9.5000
12.0000
12.6000
13.6000
14.1000
13.5000
11.5000
12.0000
13.0000
14.1000
15.1000
>> J=inv(A*w*X)
J=
11.6986 -0.1343 -0.2610 -0.4110
-0.1343
0.0050
0.0015
0.0034
-0.2610
0.0015
0.0187
0.0084
-0.4110
0.0034
0.0084
0.0152
>> K=A*w*y
K=
Universitas Sumatera Utara
1.0e+003 *
0.2498
2.7799
0.6693
5.7332
>> β =J*K
β =
17.5284
0.7201
-0.1721
-0.5931
LAMPIRAN II
Hasil program SPSS
Dengan program SPSS 19 akan diperoleh hasil sebagai berikut :
REGRESSION
Variables Entered/Removed
b
Variables
Model
1
Variables Entered Removed
X3, X1, X2
a
.
Method
Enter
a. All requested variables entered.
b. Dependent Variable: Y
Model Summary
Universitas Sumatera Utara
Model
1
R
,909
a
Adjusted R
Std. Error of the
R Square
Square
Estimate
,826
,805
1,33032
a. Predictors: (Constant), X3, X1, X2
Model
1
Sum of Squares
Df
Mean Square
F
Sig.
Regression
202,176
3
67,392
38,080
,000
Residual
42,474
24
1,770
Total
244,650
27
a
a. Predictors: (Constant), X3, X1, X2
b. Dependent Variable: Y
Coefficients
a
Standardized
Unstandardized Coefficients
Coefficients
B
Std. Error
Beta
(Constant)
9,590
3,125
X1
,777
,086
X2
-,026
X3
-,295
Model
1
T
Sig.
3,069
,005
,800
9,013
,000
,161
-,015
-,158
,875
,107
-,275
-2,762
,011
a. Dependent Variable: Y
Hasil program SPSS untuk Least Trimmed Square
Iterasi I
Model Summary
Adjusted R
Model R
1
,909a
Std. Error of
R Square Square
the Estimate
,826
1,3303197
,805
Universitas Sumatera Utara
Model Summary
Adjusted R
Model R
1
,909a
Std. Error of
R Square Square
the Estimate
,826
1,3303197
,805
a. Predictors: (Constant), X3, X1, X2
Iterasi II
Model Summary
Adjusted R
Model R
1
,972a
Std. Error of
R Square Square
the Estimate
,945
106095,3938
,917
475
Predictors: (Constant), X3, X1, X
Estimasi dengan Metode Kuadrat Terkecil
Universitas Sumatera Utara