Perbandingan Antara Estimasi M dengan Type Welsch dengan Least Trimmed Square untuk Mengatasi Adanya Data Pencilan

(1)

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 0 0 0 0 0

0 0.9825 0 0 0 0 0

0 0 0.9345 0 0 0 0

(2)

0 0 0 0 0.9984 0 0

0 0 0 0 0 0.9487 0

0 0 0 0 0 0 0.8680

0 0 0 0 0 0 0

Columns 8 through 14

0 0 0 0 0 0 0

(3)

0 0 0 0 0 0 0

0.9995 0 0 0 0 0 0

0 0.7250 0 0 0 0 0

0 0 0.9999 0 0 0 0

0 0 0 0.9378 0 0 0

0 0 0 0 0.9838 0 0

0 0 0 0 0 0.6739 0

0 0 0 0 0 0 0.9890

0 0 0 0 0 0 0

(4)

0 0 0 0 0 0 0

0.6983 0 0 0 0 0 0

0 0.5971 0 0 0 0 0

0 0 0.7523 0 0 0 0

0 0 0 0.8908 0 0 0

0 0 0 0 0.9349 0 0

0 0 0 0 0 0.9882 0

0 0 0 0 0 0 0.8164

0 0 0 0 0 0 0

(5)

0 0 0 0 0 0 0

0.8848 0 0 0 0 0 0

0 0.9992 0 0 0 0 0

0 0 0.9814 0 0 0 0

0 0 0 0.9665 0 0 0

0 0 0 0 0.9244 0 0

0 0 0 0 0 0.8636 0

0 0 0 0 0 0 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

(6)

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.

(7)

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 7.7000 3.0000 22.6860

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

(8)

>> 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

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

1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

13.3000 10.4000 10.5000 7.7000 10.0000 12.0000 12.1000

0 1.0000 2.0000 3.0000 0 1.0000 4.0000

23.9270 33.4430 24.8590 22.6860 21.7890 22.0410 21.0330

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

(9)

>> 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

(10)

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 0 0 0 0 0 0

0 0.9630 0 0 0 0 0

0 0 0.8282 0 0 0 0

0 0 0 0.9811 0 0 0

(11)

0 0 0 0 0 0.9839 0

0 0 0 0 0 0 0.9217

0 0 0 0 0 0 0

(12)

0 0 0 0 0 0 0

0.7763 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

(13)

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

(14)

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 =

(15)

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 7.7000 3.0000 22.6860

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'

(16)

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

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

1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

13.3000 10.4000 10.5000 7.7000 10.0000 12.0000 12.1000

0 1.0000 2.0000 3.0000 0 1.0000 4.0000

23.9270 33.4430 24.8590 22.6860 21.7890 22.0410 21.0330

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)

(17)

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

(18)

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,

(19)

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

(20)

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

(21)

0 0 0 0 0.9825 0 0

0 0 0 0 0 0.6734 0

0 0 0 0 0 0 0.9326

0 0 0 0 0 0 0

(22)

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

(23)

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

(24)

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

(25)

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 7.7000 3.0000 22.6860

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 =

(26)

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

(27)

,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

(28)

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

(29)

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

(30)

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

(31)

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

(32)

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 7.7000 3.0000 22.6860

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

1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

(33)

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

1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

13.3000 10.4000 10.5000 7.7000 10.0000 12.0000 12.1000

0 1.0000 2.0000 3.0000 0 1.0000 4.0000

23.9270 33.4430 24.8590 22.6860 21.7890 22.0410 21.0330

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

(34)

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

(35)

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

Model Summary

Variables Entered/Removedb

Model Variables Entered

Variables

Removed Method

1 X3, X1, X2a . Enter

a. All requested variables entered.

(36)

(37)

Model Summary

Model R R Square

Adjusted R

Square

Std. Error of

the Estimate

1 ,909a ,826 ,805 1,3303197

a. Predictors: (Constant), X3, X1, X2

Iterasi II

Model Summary

Model R R Square

Adjusted R

Square

Std. Error of

the Estimate

1 ,972a ,945 ,917 106095,3938

475

Predictors: (Constant), X3, X1, X