Analisis Perbandingan Regresi Komponen Utama dan Regresi Ridge untuk Mengatasi Masalah Multikolinieritas pada Model Regresi Linier Berganda
57
Lampiran 1 Contoh Data Ilustrasi Kasus 1
Tabel 3.1 Data rata-rata jam kerja dan faktor-faktor yang mempengaruhinya
No.
1
2.157
2,905
1.121
291
380
7.250 38,5
2
2.174
2,970
1.128
301
398
7.744 39,3
3
2.062
2,350
1.214
326
185
3.068 40,1
4
2.111
2,511
1.203
49
117
1.632 22,4
5
2.134
2,791
1.013
594
730
12.710 57,7
6
2.185
3,040
1.135
287
382
7.706 38,6
7
2.210
3,222
1.100
295
474
9.338 39,0
8
2.105
2,493
1.180
310
255
4.730 39,9
9
2.267
2,838
1.298
252
431
8.317 38,9
10
2.205
2,356
885
264
373
6.789 38,8
11
2.121
2,922
1.251
328
312
5.907 39,8
12
2.109
2,499
1.207
347
271
5.069 39,7
13
2.108
2,796
1.036
300
259
4.614 38,2
14
2.047
2,453
1.213
297
139
1.987 40,3
15
2.174
3,582
1.141
414
498
10.239 40,0
16
2.067
2,909
1.805
290
239
4.439 39,1
17
2.159
2,511
1.075
289
308
5.621 39,3
18
2.257
2,516
1.093
176
392
7.293 37,9
19
1.985
1,423
553
381
146
1.866 40,6
20
2.184
3,636
1.091
291
560
11.240 39,1
Sumber: D.H. Greenberg and M. Kosters, Income Guarantees and the
The Rand Corporation, R-579-OEO, December 1970
2,340
2,335
2,851
1,159
1,229
2,602
2,187
2,616
2,024
2,662
2,287
3,193
2,040
2,545
2,064
2,301
2,486
2,042
3,833
2,328
Working
10,5
10,5
8,9
11,5
8,8
10,7
11,2
9,3
11,1
9,5
10,3
8,9
9,2
9,1
11,7
10,5
9,5
10,1
6,6
11,6
Poor,
Keterangan:
= average hours worked during the year
= average hourly wage (dollars)
= average yearly earnings of spouse (dollars)
= average yearly earnings of other family members (dollars)
= average yearly nonearned income (dollars)
= average family asset holdings (bank account, etc) (dollars)
= average age of respondent
= average number of dependents
= average highest grade of school completed
Universitas Sumatera Utara
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Lampiran 2 Contoh Data Ilustrasi Kasus 2
Tabel 3.10 Data Mengenai Produsen Kabel Telepon untuk Memprediksi
Penjualan kepada pelanggan selama periode 1968-1983
Tahun
1968
1283
1051,8 1503,6
3,6
1969
7852
1078,8 1486,7
3,5
1970
8189
1075,3 1434,8
5,0
1971
7497
1107,5 2035,6
6,0
1972
8534
1171,1 2360,8
5,6
1973
8688
1235,0 2043,9
4,9
1974
7270
1217,8 1331,9
5,6
1975
5020
1202,3 1160,0
8,5
1976
6035
1271,0 1535,0
7,7
1977
7425
1332,7 1961,8
7,0
1978
9400
1399,2 2009,3
6,0
1979
9350
1431,6 1721,9
6,0
1980
6540
1480,7 1298,0
7,2
1981
7675
1510,3 1100,0
7,6
1982
7419
1492,2 1039,0
9,2
1983
7923
1535,4 1200,0
8,8
Source: Gujarati, Basic Econometrics Fourth Edition, 2003
5,8
6,7
8,4
6,2
5,4
5,9
9,4
9,4
7,2
6,6
7,6
10,6
14,9
16,6
17,5
16,0
5,9
4,5
4,2
4,2
4,9
5,0
4,1
3,4
4,2
4,5
3,9
4,4
3,9
3,1
0,6
1,5
Keterangan:
= annual sales in MPF, million paired feet
= gross national product (GNP), $ bilions
= housing starts, thousands of units
= unemployment rate, %
= prime rate lagged 6 months
= customer line gains, %
Universitas Sumatera Utara
58
Lampiran 3 Menentukan parameter regresi linier berganda (Contoh Ilustrasi Kasus 1)
No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
∑
4.652.649
4.726.276
4.251.844
4.456.321
4.553.956
4.774.225
4.884.100
4.431.025
5.139.289
4.862.025
4.498.641
4.447.881
4.443.664
4.190.209
4.726.276
4.272.489
4.661.281
5.094.049
3.940.225
4.769.856
91.776.281
8,439
8,821
5,523
6,305
7,790
9,242
10,381
6,215
8,054
5,551
8,538
6,245
7,818
6,017
12,831
8,462
6,305
6,330
2,025
13,220
1.256.641
1.272.384
1.473.796
1.447.209
1.026.169
1.288.225
1.210.000
1.392.400
1.684.804
783.225
1.565.001
1.456.849
1.073.296
1.471.369
1.301.881
3.258.025
1.155.625
1.194.649
305.809
1.190.281
84.681
90.601
106.276
2.401
352.836
82.369
87.025
96.100
63.504
69.696
107.584
120.409
90.000
88.209
171.396
84.100
83.521
30.976
145.161
84.681
144.400
158.404
34.225
13.689
532.900
145.924
224.676
65.025
185.761
139.129
97.344
73.441
67.081
19.321
248.004
57.121
94.864
153.664
21.316
313.600
52.562.500
59.969.536
9.412.624
2.663.424
161.544.100
59.382.436
87.198.244
22.372.900
69.172.489
46.090.521
34.892.649
25.694.761
21.288.996
3.948.169
104.837.121
19.704.721
31.595.641
53.187.849
3.481.956
126.337.600
1.482,250
1.544,490
1.608,010
501,760
3.329,290
1.489,960
1.521,000
1.592,010
1.513,210
1.505,440
1.584,040
1.576,090
1.459,240
1.624,090
1.600,000
1.528,810
1.544,490
1.436,410
1.648,360
1.528,810
5,476
5,452
8,128
1,343
1,510
6,770
4,783
6,843
4,097
7,086
5,230
10,195
4,162
6,477
4,260
5,295
6,180
4,170
14,692
5,420
154,112
26.807.638
2.041.526
2.789.889
995.338.237
31.617,760
117,570
110,25
110,25
79,21
132,25
77,44
114,49
125,44
86,49
123,21
90,25
106,09
79,21
84,64
82,81
136,89
110,25
90,25
102,01
43,56
134,56
6.266,085
6.456,780
4.845,700
5.300,721
5.955,994
6.642,400
7.120,620
5.247,765
6.433,746
5.194,980
6.197,562
5.270,391
5.893,968
5.021,291
7.787,268
6.012,903
5.421,249
5.678,612
2.824,655
7.941,024
2.417.997
2.452.272
2.503.268
2.539.533
2.161.742
2.479.975
2.431.000
2.483.900
2.942.566
1.951.425
2.653.371
2.545.563
2.183.888
2.483.011
2.480.534
3.730.935
2.320.925
2.466.901
1.097.705
2.382.744
627.687
654.374
672.212
103.439
1.267.596
627.095
651.950
652.550
571.284
582.120
695.688
731.823
632.400
607.959
900.036
599.430
623.951
397.232
756.285
635.544
2.019,550 117.513,714 48.709.255 12.990.655
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No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
∑
819.660
865.252
381.470
246.987
1.557.820
834.670
1.047.540
536.775
977.077
822.465
661.752
571.539
545.972
284.533
1.082.652
494.013
664.972
884.744
289.810
1.223.040
15.638.250
16.835.456
6.326.216
3.445.152
27.123.140
16.837.610
20.636.980
9.956.650
18.854.639
14.969.745
12.528.747
10.690.521
9.726.312
4.067.389
22.259.586
9.175.413
12.135.739
16.460.301
3.704.010
24.548.160
83.044,5
85.438,2
82.686,2
47.286,4
123.131,8
84.341,0
86.190,0
83.989,5
88.186,3
85.554,0
84.415,8
83.727,3
80.525,6
82.494,1
86.960,0
80.819,7
84.848,7
85.540,3
80.591,0
85.394,4
5.047,380
5.076,290
5.878,762
2.446,649
2.622,686
5.685,370
4.833,270
5.506,680
4.588,408
5.869,710
4.850,727
6.734,037
4.300,320
5.209,615
4.487,136
4.756,167
5.367,274
4.608,794
7.608,505
5.084,352
22.648,5
22.827,0
18.351,8
24.276,5
18.779,2
23.379,5
24.752,0
19.576,5
25.163,7
20.947,5
21.846,3
18.770,1
19.393,6
18.627,7
25.435,8
21.703,5
20.510,5
22.795,7
13.101,0
25.334,4
3256,505
3350,16
2852,9
3020,733
2827,283
3450,4
3544,2
2941,74
3683,724
2085,06
3655,422
3016,293
2896,656
2975,489
4087,062
5250,745
2699,325
2749,988
786,919
3966,876
845,355
893,97
766,1
123,039
1657,854
872,48
950,49
772,83
715,176
621,984
958,416
867,153
838,8
728,541
1482,948
843,61
725,679
442,816
542,163
1058,076
1103,9
1182,06
434,75
293,787
2037,43
1161,28
1527,228
635,715
1223,178
878,788
911,664
677,229
724,164
340,967
1783,836
695,251
773,388
986,272
207,758
2036,16
21061,25
22999,68
7209,8
4097,952
35473,61
23426,24
30087,036
11791,89
23603,646
15994,884
17260,254
12667,431
12900,744
4874,111
36676,098
12913,051
14114,331
18349,188
2655,318
40868,64
111,8425
116,721
94,235
56,2464
161,0407
117,344
125,658
99,4707
110,3982
91,4128
116,2956
99,2103
106,8072
98,8559
143,28
113,7419
98,6823
95,3564
57,7738
142,1676
6,7977
6,93495
6,69985
2,910249
3,430139
7,91008
7,046514
6,521688
5,744112
6,271672
6,682614
7,979307
5,70384
6,242885
7,393248
6,693609
6,242346
5,137672
5,454359
8,464608
14.792.743
275.920.016
1.685.165
100.562,132
428.220,800
63.097,480
16.707,480
19.614,805
369.025,154
2.156,540
126,261
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No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
∑
30,503
31,185
20,915
28,877
24,561
32,528
36,086
23,185
31,502
22,382
30,097
22,241
25,723
22,322
41,909
30,545
23,855
25,412
9,392
42,178
555,396
326.211
339.528
395.764
58.947
601.722
325.745
324.500
365.800
327.096
233.640
410.328
418.829
310.800
360.261
472.374
523.450
310.675
192.368
210.693
317.481
425.980
448.944
224.590
140.751
739.490
433.570
521.400
300.900
559.438
330.105
390.312
327.097
268.324
168.607
568.218
431.395
331.100
428.456
80.738
610.960
8.127.250
8.735.232
3.724.552
1.963.296
12.875.230
8.746.310
10.271.800
5.581.400
10.795.466
6.008.265
7.389.657
6.118.283
4.780.104
2.410.231
11.682.699
8.012.395
6.042.575
7.971.249
1.031.898
12.262.840
6.826.212 7.730.375 144.530.732
43.158,5
44.330,4
48.681,4
26.947,2
58.450,1
43.811,0
42.900,0
47.082,0
50.492,2
34.338,0
49.789,8
47.917,9
39.575,2
48.883,9
45.640,0
70.575,5
42.247,5
41.424,7
22.451,8
42.658,1
891.355,2
2.623,140
2.633,880
3.461,114
1.394,277
1.244,977
2.953,270
2.405,700
3.086,880
2.627,152
2.355,870
2.861,037
3.853,951
2.113,440
3.087,085
2.355,024
4.153,305
2.672,450
2.231,906
2.119,649
2.539,848
11.770,5
11.844,0
10.804,6
13.834,5
8.914,4
12.144,5
12.320,0
10.974,0
14.407,8
8.407,5
12.885,3
10.742,3
9.531,2
11.038,3
13.349,7
18.952,5
10.212,5
11.039,3
3.649,8
12.655,6
110.580
119.798
60.310
5.733
433.620
109.634
139.830
79.050
108.612
98.472
102.336
94.037
77.700
41.283
206.172
69.310
89.012
68.992
55.626
162.960
2.109.750
2.330.944
1.000.168
79.968
7.549.740
2.211.622
2.754.710
1.466.300
2.095.884
1.792.296
1.937.496
1.758.943
1.384.200
590.139
4.238.946
1.287.310
1.624.469
1.283.568
710.946
3.270.840
11.203,5
11.829,3
13.072,6
1.097,6
34.273,8
11.078,2
11.505,0
12.369,0
9.802,8
10.243,2
13.054,4
13.775,9
11.460,0
11.969,1
16.560,0
11.339,0
11.357,7
6.670,4
15.468,6
11.378,1
680,940
702,835
929,426
56,791
730,026
746,774
645,165
810,960
510,048
702,768
750,136
1.107,971
612,000
755,865
854,496
667,290
718,454
359,392
1.460,373
677,448
52.773,955
229.478,3
2.233.067
41.478.239
249.508,2
14.479,158
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No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
∑
3.055,5
3.160,5
2.901,4
563,5
5.227,2
3.070,9
3.304,0
2.883,0
2.797,2
2.508,0
3.378,4
3.088,3
2.760,0
2.702,7
4.843,8
3.045,0
2.745,5
1.777,6
2.514,6
3.375,6
2.755.000
3.082.112
567.580
190.944
9.278.300
2.943.692
4.426.212
1.206.150
3.584.627
2.532.297
1.842.984
1.373.699
1.195.026
276.193
5.099.022
1.060.921
1.731.268
2.858.856
272.436
6.294.400
59.702,7
52.571.719
14.630,0
15.641,4
7.418,5
2.620,8
42.121,0
14.745,2
18.486,0
10.174,5
16.765,9
14.472,4
12.417,6
10.758,7
9.893,8
5.601,7
19.920,0
9.344,9
12.104,4
14.856,8
5.927,6
21.896,0
889,200
929,330
527,435
135,603
897,170
993,964
1.036,638
667,080
872,344
992,926
713,544
865,303
528,360
353,755
1.027,872
549,939
765,688
800,464
559,618
1.303,680
3.990,0
4.179,0
1.646,5
1.345,5
6.424,0
4.087,4
5.308,8
2.371,5
4.784,1
3.543,5
3.213,6
2.411,9
2.382,8
1.264,9
5.826,6
2.509,5
2.926,0
3.959,2
963,6
6.496,0
279.125,0
304.339,2
123.026,8
36.556,8
733.367,0
297.451,6
364.182,0
188.727,0
323.531,3
263.413,2
235.098,6
201.239,3
176.254,8
80.076,1
409.560,0
173.564,9
220.905,3
276.404,7
75.759,6
439.484,0
16.965,000
18.082,240
8.746,868
1.891,488
15.620,590
20.051,012
20.422,206
12.373,680
16.833,608
18.072,318
13.509,309
16.185,317
9.412,560
5.056,915
21.133,296
10.214,139
13.973,806
14.892,306
7.152,378
26.166,720
76.125,0
81.312,0
27.305,2
18.768,0
111.848,0
82.454,2
104.585,6
43.989,0
92.318,7
64.495,5
60.842,1
45.114,1
42.448,8
18.081,7
119.796,3
46.609,5
53.399,5
73.659,3
12.315,6
130.384,0
279.797,2 15.409,913
69.634,4
5.202.067,2
286.755,756
1.305.852,1
90,090
91,766
114,325
25,962
70,913
100,437
85,293
104,378
78,734
103,286
91,023
126,762
77,928
102,564
82,560
89,969
97,700
77,392
155,620
91,025
404,250
412,650
356,890
257,600
507,760
413,020
436,800
371,070
431,790
368,600
409,940
353,330
351,440
366,730
468,000
410,550
373,350
382,790
267,960
453,560
24,570
24,518
25,374
13,329
10,815
27,841
24,494
24,329
22,466
25,289
23,556
28,418
18,768
23,160
24,149
24,161
23,617
20,624
25,298
27,005
1.857,725 7.798,080
461,780
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Lampiran 4 Menentukan parameter regresi linier berganda
(Contoh Ilustrasi Kasus 2)
No
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
∑
1.646.089,00
61.653.904,00
67.059.721,00
56.205.009,00
72.829.156,00
75.481.344,00
52.852.900,00
25.200.400,00
36.421.225,00
55.130.625,00
88.360.000,00
87.422.500,00
42.771.600,00
58.905.625,00
55.041.561,00
62.773.929,00
1.106.283,24
1.163.809,44
1.156.270,09
1.226.556,25
1.371.475,21
1.525.225,00
1.483.036,84
1.445.525,29
1.615.441,00
1.776.089,29
1.957.760,64
2.049.478,56
2.192.472,49
2.281.006,09
2.226.660,84
2.357.453,16
2.260.812,96
2.210.276,89
2.058.651,04
4.143.667,36
5.573.376,64
4.177.527,21
1.773.957,61
1.345.600,00
2.356.225,00
3.848.659,24
4.037.286,49
2.964.939,61
1.684.804,00
1.210.000,00
1.079.521,00
1.440.000,00
12,96
12,25
25,00
36,00
31,36
24,01
31,36
72,25
59,29
49,00
36,00
36,00
51,84
57,76
84,64
77,44
33,64
44,89
70,56
38,44
29,16
34,81
88,36
88,36
51,84
43,56
57,76
112,36
222,01
275,56
306,25
256,00
899.755.588,00 26.934.543,43
42.165.305,05
697,16
1.753,56
34,81
20,25
17,64
17,64
24,01
25,00
16,81
11,56
17,64
20,25
15,21
19,36
15,21
9,61
0,36
2,25
1.349.459,40
8.470.737,60
8.805.631,70
8.302.927,50
9.994.167,40
10.729.680,00
8.853.406,00
6.035.546,00
7.670.485,00
9.895.297,50
13.152.480,00
13.385.460,00
9.683.778,00
11.591.552,50
11.070.631,80
12.164.974,20
1.929.118,80
11.673.568,40
11.749.577,20
15.260.893,20
20.147.067,20
17.757.403,20
9.682.913,00
5.823.200,00
9.263.725,00
14.566.365,00
18.887.420,00
16.099.765,00
8.488.920,00
8.442.500,00
7.708.341,00
9.507.600,00
4.618,80
27.482,00
40.945,00
44.982,00
47.790,40
42.571,20
40.712,00
42.670,00
46.469,50
51.975,00
56.400,00
56.100,00
47.088,00
58.330,00
68.254,80
69.722,40
267,61 151.156.214,60
186.988.377,00
746.111,10
Universitas Sumatera Utara
63
No
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
∑
7.441,40
52.608,40
68.787,60
46.481,40
46.083,60
51.259,20
68.338,00
47.188,00
43.452,00
49.005,00
71.440,00
99.110,00
97.446,00
127.405,00
129.832,50
126.768,00
7.569,70
35.334,00
34.393,80
31.487,40
41.816,60
43.440,00
29.807,00
17.068,00
25.347,00
33.412,50
36.660,00
41.140,00
25.506,00
23.792,50
4.451,40
11.884,50
1.581.486,48
1.603.851,96
1.542.840,44
2.254.427,00
2.764.732,88
2.524.216,50
1.621.987,82
1.394.668,00
1.950.985,00
2.614.490,86
2.811.412,56
2.465.072,04
1.921.948,60
1.661.330,00
1.550.395,80
1.842.480,00
3.786,48
3.775,80
5.376,50
6.645,00
6.558,16
6.051,50
6.819,68
10.219,55
9.786,70
9.328,90
8.395,20
8.589,60
10.661,04
11.478,28
13.728,24
13.511,52
6.100,44
7.227,96
9.032,52
6.866,50
6.323,94
7.286,50
11.447,32
11.301,62
9.151,20
8.795,82
10.633,92
15.174,96
22.062,43
25.070,98
26.113,50
24.566,40
6.205,62
4.854,60
4.516,26
4.651,50
5.738,39
6.175,00
4.992,98
4.087,82
5.338,20
5.997,15
5.456,88
6.299,04
5.774,73
4.681,93
895,32
2.303,10
5.412,96
5.203,45
7.174,00
12.213,60
13.220,48
10.015,11
7.458,64
9.860,00
11.819,50
13.732,60
12.055,80
10.331,40
9.345,60
8.360,00
9.558,80
10.560,00
8.720,88
9.960,89
12.052,32
12.620,72
12.748,32
12.059,01
12.519,86
10.904,00
11.052,00
12.947,88
15.270,68
18.252,14
19.340,20
18.260,00
18.182,50
19.200,00
8.871,24
6.690,15
6.026,16
8.549,52
11.567,92
10.219,50
5.460,79
3.944,00
6.447,00
8.828,10
7.836,27
7.576,36
5.062,20
3.410,00
623,40
1.800,00
20,88
23,45
42,00
37,20
30,24
28,91
52,64
79,90
55,44
46,20
45,60
63,60
107,28
126,16
161,00
140,80
21,24
15,75
21,00
25,20
27,44
24,50
22,96
28,90
32,34
31,50
23,40
26,40
28,08
23,56
5,52
13,20
34,22
30,15
35,28
26,04
26,46
29,50
38,54
31,96
30,24
29,70
29,64
46,64
58,11
51,46
10,50
24,00
1.132.646,10 443.110,40 32.106.325,94 134.712,15 207.156,01 77.968,52 156.321,94 224.091,40 102.912,61 1.061,30 370,99 532,44
Universitas Sumatera Utara
64
Lampiran 5 Transformasi Data Kasus 1
Transformasi Variabel Pengamatan (Variabel Asal) ke Bentuk Variabel Baku
No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0,2263
0,4675
-1,1216
-0,4264
-0,1000
0,6236
0,9783
-0,5115
1,7871
0,9074
-0,2845
-0,4547
-0,4689
-1,3344
0,4675
-1,0507
0,2547
1,6452
-2,2141
0,6094
Z1
Z2
Z3
Z4
Z5
Z6
Z7
Z8
0,3516
0,4870
-0,8041
-0,4689
0,1142
0,6327
1,0117
-0,5063
0,2121
-0,7916
0,3870
-0,4938
0,1246
-0,5896
1,7614
0,3599
-0,4689
-0,4584
-2,7345
1,8738
-0,0721
-0,0407
0,3443
0,2951
-0,5557
-0,0094
-0,1661
0,1921
0,7204
-1,1288
0,5100
0,3130
-0,4527
0,3398
0,0175
2,9905
-0,2781
-0,1975
-2,6153
-0,2064
-0,1303
-0,0308
0,2179
-2,5377
2,8839
-0,1701
-0,0905
0,0587
-0,5183
-0,3989
0,2378
0,4268
-0,0408
-0,0706
1,0933
-0,1403
-0,1502
-1,2743
0,7650
-0,1303
0,2455
0,3632
-1,0295
-1,4741
2,5339
0,2586
0,8601
-0,5718
0,5790
0,1997
-0,1991
-0,4672
-0,5456
-1,3302
1,0170
-0,6764
-0,2252
0,3240
-1,2845
1,4224
0,2819
0,4417
-1,0701
-1,5344
2,0472
0,4294
0,9570
-0,5328
0,6269
0,1329
-0,1523
-0,4232
-0,5703
-1,4196
1,2483
-0,6269
-0,2447
0,2958
-1,4587
1,5719
-0,1489
-0,0104
0,1281
-2,9370
3,1760
-0,1316
-0,0623
0,0935
-0,0797
-0,0970
0,0762
0,0589
-0,2009
0,1628
0,1108
-0,0450
-0,0104
-0,2528
0,2147
-0,0450
-0,0276
-0,0361
0,8436
-2,0412
-1,9218
0,4191
-0,2885
0,4429
-0,5664
0,5214
-0,1180
1,4267
-0,5391
0,3219
-0,4982
-0,0941
0,2213
-0,5357
2,5179
-0,0481
0,4211
0,4211
-0,8622
1,2231
-0,9424
0,5815
0,9825
-0,5414
0,9023
-0,3810
0,2607
-0,8622
-0,6216
-0,7018
1,3835
0,4211
-0,3810
0,1003
-2,7068
1,3033
Universitas Sumatera Utara
65
Lampiran 6 Transformasi Data Kasus 2
Transformasi Variabel Pengamatan (Variabel Asal) ke Bentuk Variabel Baku
No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
-3,05605
0,30480
0,47722
0,12317
0,65373
0,73252
0,00703
-1,14412
-0,62482
0,08634
1,09679
1,07121
-0,36645
0,21424
0,08327
0,34112
Z1
-1,38806
-1,22874
-1,24939
-1,05940
-0,68413
-0,30708
-0,40857
-0,50003
-0,09467
0,26939
0,66178
0,85295
1,14267
1,31732
1,21052
1,46543
Z2
-0,18179
-0,22400
-0,35361
1,14681
1,95896
1,16754
-0,61059
-1,03990
-0,10338
0,96251
1,08113
0,36339
-0,69526
-1,18974
-1,34208
-0,94000
Z3
-1,62098
-1,67913
-0,80685
-0,22534
-0,45794
-0,86501
-0,45794
1,22845
0,76324
0,35618
-0,22534
-0,22534
0,47248
0,70509
1,63552
1,40291
Z4
-0,90880
-0,69566
-0,29306
-0,81407
-1,00352
-0,88511
-0,05624
-0,05624
-0,57725
-0,71934
-0,48252
0,22794
1,24626
1,64886
1,86200
1,50677
Z5
1,55312
0,46932
0,23708
0,23708
0,77898
0,85639
0,15967
-0,38223
0,23708
0,46932
0,00484
0,39191
0,00484
-0,61448
-2,54983
-1,85310
Universitas Sumatera Utara
66
Lampiran 7 Nilai Residual dan MSE Contoh Ilustrasi Kasus 1
Regresi Komponen Utama
No
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
2156,2458
0,754
2160,7211
13,279
2092,515 -30,515
2151,8291 -40,829
2183,0591 -49,059
2159,392
25,608
2186,4078
23,592
2113,4565
-8,457
2178,9097
88,090
2116,0909
88,909
2150,628 -29,628
2101,4403
7,560
2126,6613 -18,661
2097,1024 -50,102
2207,3387 -33,339
2161,2167 -94,217
2121,4351
37,565
2148,5591 108,441
1997,7127 -12,713
2210,2789 -26,279
Jumlah
Mean Square Error (MSE)
0,569
176,330
931,167
1.667,014
2.406,794
655,769
556,594
71,513
7.759,895
7.904,827
877,817
57,149
348,246
2.510,247
1.111,469
8.876,782
1.411,125
11.759,425
161,613
690,581
49.934,925
2.496,746
Regresi Ridge
No
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
2163,655619
-6,6556185
2167,413677
6,5863235
2069,722979
-7,7229789
2153,409359 -42,4093586
2159,665162 -25,6651616
2170,960408
14,0395922
2201,999321
8,0006787
2104,397393
0,6026071
2198,174897
68,8251034
2164,115108
40,8848922
2124,858211
-3,8582113
2094,234469
14,7655308
2103,608302
4,391698
2062,670991
-15,670991
2178,951847
-4,9518466
2105,569655 -38,5696554
2130,849829
28,1501711
2200,2072
56,7928002
2028,485239 -43,4852392
2235,685095 -51,6850952
Jumlah
Mean Square Error (MSE)
44,29726
43,37966
59,6444
1798,554
658,7005
197,1101
64,01086
0,363135
4736,895
1671,574
14,88579
218,0209
19,28701
245,58
24,52078
1487,618
792,4321
3225,422
1890,966
2671,349
19864,61
993,2306
Universitas Sumatera Utara
67
Lampiran 8 Nilai Residual dan MSE Contoh Ilustrasi Kasus 2
Regresi Komponen Utama
No
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
6.412,964 -5.129,964
7.746,946
105,054
8.067,878
121,121
7.314,075
182,924
8.325,735
208,264
8.215,736
472,264
7.252,673
17,326
5.316,544
-296,543
6.274,957
-239,956
7.207,023
217,9768
9.185,055
214,945
8.963,865
386,135
6.783,905
-243,904
7.409,697
265,3033
7.367,558
51,441
7.879,753
43,246
Jumlah
Mean Square Error (MSE)
26.316.534
11.036,41
14.670,47
33.461,41
43.374,14
223.033,4
300,2152
87.938,11
57.579,17
47.513,89
46.201,48
149.100,3
59.489,41
70.385,86
2.646,252
1.870,268
27.165.134
1.697.821
Regresi Ridge
No
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
5.379,303
-4096,3
6.605,165 1246,835
6.190,121 1998,879
7.708,188 -211,188
8.520,066 13,93438
8.002,459 685,5409
6.346,384 923,6161
5.261,456 -241,456
6.259,169 -224,169
7.803,427 -378,427
9.084,866 315,1342
8.057,869 1292,131
7.081,699 -541,699
7.143,659 531,3409
8.303,655 -884,655
8.349,491 -426,491
Jumlah
Mean Square Error (MSE)
16.779.701
1.554.599
3.995.519
44.600,38
194,1669
469.966,4
853.066,7
58.300,77
50.251,68
143.207,3
99.309,58
1.669.603
293.437,8
282.323,2
782.614,3
181.894,5
27.258.588
1.703.662
Universitas Sumatera Utara
Lampiran 1 Contoh Data Ilustrasi Kasus 1
Tabel 3.1 Data rata-rata jam kerja dan faktor-faktor yang mempengaruhinya
No.
1
2.157
2,905
1.121
291
380
7.250 38,5
2
2.174
2,970
1.128
301
398
7.744 39,3
3
2.062
2,350
1.214
326
185
3.068 40,1
4
2.111
2,511
1.203
49
117
1.632 22,4
5
2.134
2,791
1.013
594
730
12.710 57,7
6
2.185
3,040
1.135
287
382
7.706 38,6
7
2.210
3,222
1.100
295
474
9.338 39,0
8
2.105
2,493
1.180
310
255
4.730 39,9
9
2.267
2,838
1.298
252
431
8.317 38,9
10
2.205
2,356
885
264
373
6.789 38,8
11
2.121
2,922
1.251
328
312
5.907 39,8
12
2.109
2,499
1.207
347
271
5.069 39,7
13
2.108
2,796
1.036
300
259
4.614 38,2
14
2.047
2,453
1.213
297
139
1.987 40,3
15
2.174
3,582
1.141
414
498
10.239 40,0
16
2.067
2,909
1.805
290
239
4.439 39,1
17
2.159
2,511
1.075
289
308
5.621 39,3
18
2.257
2,516
1.093
176
392
7.293 37,9
19
1.985
1,423
553
381
146
1.866 40,6
20
2.184
3,636
1.091
291
560
11.240 39,1
Sumber: D.H. Greenberg and M. Kosters, Income Guarantees and the
The Rand Corporation, R-579-OEO, December 1970
2,340
2,335
2,851
1,159
1,229
2,602
2,187
2,616
2,024
2,662
2,287
3,193
2,040
2,545
2,064
2,301
2,486
2,042
3,833
2,328
Working
10,5
10,5
8,9
11,5
8,8
10,7
11,2
9,3
11,1
9,5
10,3
8,9
9,2
9,1
11,7
10,5
9,5
10,1
6,6
11,6
Poor,
Keterangan:
= average hours worked during the year
= average hourly wage (dollars)
= average yearly earnings of spouse (dollars)
= average yearly earnings of other family members (dollars)
= average yearly nonearned income (dollars)
= average family asset holdings (bank account, etc) (dollars)
= average age of respondent
= average number of dependents
= average highest grade of school completed
Universitas Sumatera Utara
58
Lampiran 2 Contoh Data Ilustrasi Kasus 2
Tabel 3.10 Data Mengenai Produsen Kabel Telepon untuk Memprediksi
Penjualan kepada pelanggan selama periode 1968-1983
Tahun
1968
1283
1051,8 1503,6
3,6
1969
7852
1078,8 1486,7
3,5
1970
8189
1075,3 1434,8
5,0
1971
7497
1107,5 2035,6
6,0
1972
8534
1171,1 2360,8
5,6
1973
8688
1235,0 2043,9
4,9
1974
7270
1217,8 1331,9
5,6
1975
5020
1202,3 1160,0
8,5
1976
6035
1271,0 1535,0
7,7
1977
7425
1332,7 1961,8
7,0
1978
9400
1399,2 2009,3
6,0
1979
9350
1431,6 1721,9
6,0
1980
6540
1480,7 1298,0
7,2
1981
7675
1510,3 1100,0
7,6
1982
7419
1492,2 1039,0
9,2
1983
7923
1535,4 1200,0
8,8
Source: Gujarati, Basic Econometrics Fourth Edition, 2003
5,8
6,7
8,4
6,2
5,4
5,9
9,4
9,4
7,2
6,6
7,6
10,6
14,9
16,6
17,5
16,0
5,9
4,5
4,2
4,2
4,9
5,0
4,1
3,4
4,2
4,5
3,9
4,4
3,9
3,1
0,6
1,5
Keterangan:
= annual sales in MPF, million paired feet
= gross national product (GNP), $ bilions
= housing starts, thousands of units
= unemployment rate, %
= prime rate lagged 6 months
= customer line gains, %
Universitas Sumatera Utara
58
Lampiran 3 Menentukan parameter regresi linier berganda (Contoh Ilustrasi Kasus 1)
No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
∑
4.652.649
4.726.276
4.251.844
4.456.321
4.553.956
4.774.225
4.884.100
4.431.025
5.139.289
4.862.025
4.498.641
4.447.881
4.443.664
4.190.209
4.726.276
4.272.489
4.661.281
5.094.049
3.940.225
4.769.856
91.776.281
8,439
8,821
5,523
6,305
7,790
9,242
10,381
6,215
8,054
5,551
8,538
6,245
7,818
6,017
12,831
8,462
6,305
6,330
2,025
13,220
1.256.641
1.272.384
1.473.796
1.447.209
1.026.169
1.288.225
1.210.000
1.392.400
1.684.804
783.225
1.565.001
1.456.849
1.073.296
1.471.369
1.301.881
3.258.025
1.155.625
1.194.649
305.809
1.190.281
84.681
90.601
106.276
2.401
352.836
82.369
87.025
96.100
63.504
69.696
107.584
120.409
90.000
88.209
171.396
84.100
83.521
30.976
145.161
84.681
144.400
158.404
34.225
13.689
532.900
145.924
224.676
65.025
185.761
139.129
97.344
73.441
67.081
19.321
248.004
57.121
94.864
153.664
21.316
313.600
52.562.500
59.969.536
9.412.624
2.663.424
161.544.100
59.382.436
87.198.244
22.372.900
69.172.489
46.090.521
34.892.649
25.694.761
21.288.996
3.948.169
104.837.121
19.704.721
31.595.641
53.187.849
3.481.956
126.337.600
1.482,250
1.544,490
1.608,010
501,760
3.329,290
1.489,960
1.521,000
1.592,010
1.513,210
1.505,440
1.584,040
1.576,090
1.459,240
1.624,090
1.600,000
1.528,810
1.544,490
1.436,410
1.648,360
1.528,810
5,476
5,452
8,128
1,343
1,510
6,770
4,783
6,843
4,097
7,086
5,230
10,195
4,162
6,477
4,260
5,295
6,180
4,170
14,692
5,420
154,112
26.807.638
2.041.526
2.789.889
995.338.237
31.617,760
117,570
110,25
110,25
79,21
132,25
77,44
114,49
125,44
86,49
123,21
90,25
106,09
79,21
84,64
82,81
136,89
110,25
90,25
102,01
43,56
134,56
6.266,085
6.456,780
4.845,700
5.300,721
5.955,994
6.642,400
7.120,620
5.247,765
6.433,746
5.194,980
6.197,562
5.270,391
5.893,968
5.021,291
7.787,268
6.012,903
5.421,249
5.678,612
2.824,655
7.941,024
2.417.997
2.452.272
2.503.268
2.539.533
2.161.742
2.479.975
2.431.000
2.483.900
2.942.566
1.951.425
2.653.371
2.545.563
2.183.888
2.483.011
2.480.534
3.730.935
2.320.925
2.466.901
1.097.705
2.382.744
627.687
654.374
672.212
103.439
1.267.596
627.095
651.950
652.550
571.284
582.120
695.688
731.823
632.400
607.959
900.036
599.430
623.951
397.232
756.285
635.544
2.019,550 117.513,714 48.709.255 12.990.655
Universitas Sumatera Utara
59
No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
∑
819.660
865.252
381.470
246.987
1.557.820
834.670
1.047.540
536.775
977.077
822.465
661.752
571.539
545.972
284.533
1.082.652
494.013
664.972
884.744
289.810
1.223.040
15.638.250
16.835.456
6.326.216
3.445.152
27.123.140
16.837.610
20.636.980
9.956.650
18.854.639
14.969.745
12.528.747
10.690.521
9.726.312
4.067.389
22.259.586
9.175.413
12.135.739
16.460.301
3.704.010
24.548.160
83.044,5
85.438,2
82.686,2
47.286,4
123.131,8
84.341,0
86.190,0
83.989,5
88.186,3
85.554,0
84.415,8
83.727,3
80.525,6
82.494,1
86.960,0
80.819,7
84.848,7
85.540,3
80.591,0
85.394,4
5.047,380
5.076,290
5.878,762
2.446,649
2.622,686
5.685,370
4.833,270
5.506,680
4.588,408
5.869,710
4.850,727
6.734,037
4.300,320
5.209,615
4.487,136
4.756,167
5.367,274
4.608,794
7.608,505
5.084,352
22.648,5
22.827,0
18.351,8
24.276,5
18.779,2
23.379,5
24.752,0
19.576,5
25.163,7
20.947,5
21.846,3
18.770,1
19.393,6
18.627,7
25.435,8
21.703,5
20.510,5
22.795,7
13.101,0
25.334,4
3256,505
3350,16
2852,9
3020,733
2827,283
3450,4
3544,2
2941,74
3683,724
2085,06
3655,422
3016,293
2896,656
2975,489
4087,062
5250,745
2699,325
2749,988
786,919
3966,876
845,355
893,97
766,1
123,039
1657,854
872,48
950,49
772,83
715,176
621,984
958,416
867,153
838,8
728,541
1482,948
843,61
725,679
442,816
542,163
1058,076
1103,9
1182,06
434,75
293,787
2037,43
1161,28
1527,228
635,715
1223,178
878,788
911,664
677,229
724,164
340,967
1783,836
695,251
773,388
986,272
207,758
2036,16
21061,25
22999,68
7209,8
4097,952
35473,61
23426,24
30087,036
11791,89
23603,646
15994,884
17260,254
12667,431
12900,744
4874,111
36676,098
12913,051
14114,331
18349,188
2655,318
40868,64
111,8425
116,721
94,235
56,2464
161,0407
117,344
125,658
99,4707
110,3982
91,4128
116,2956
99,2103
106,8072
98,8559
143,28
113,7419
98,6823
95,3564
57,7738
142,1676
6,7977
6,93495
6,69985
2,910249
3,430139
7,91008
7,046514
6,521688
5,744112
6,271672
6,682614
7,979307
5,70384
6,242885
7,393248
6,693609
6,242346
5,137672
5,454359
8,464608
14.792.743
275.920.016
1.685.165
100.562,132
428.220,800
63.097,480
16.707,480
19.614,805
369.025,154
2.156,540
126,261
Universitas Sumatera Utara
60
No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
∑
30,503
31,185
20,915
28,877
24,561
32,528
36,086
23,185
31,502
22,382
30,097
22,241
25,723
22,322
41,909
30,545
23,855
25,412
9,392
42,178
555,396
326.211
339.528
395.764
58.947
601.722
325.745
324.500
365.800
327.096
233.640
410.328
418.829
310.800
360.261
472.374
523.450
310.675
192.368
210.693
317.481
425.980
448.944
224.590
140.751
739.490
433.570
521.400
300.900
559.438
330.105
390.312
327.097
268.324
168.607
568.218
431.395
331.100
428.456
80.738
610.960
8.127.250
8.735.232
3.724.552
1.963.296
12.875.230
8.746.310
10.271.800
5.581.400
10.795.466
6.008.265
7.389.657
6.118.283
4.780.104
2.410.231
11.682.699
8.012.395
6.042.575
7.971.249
1.031.898
12.262.840
6.826.212 7.730.375 144.530.732
43.158,5
44.330,4
48.681,4
26.947,2
58.450,1
43.811,0
42.900,0
47.082,0
50.492,2
34.338,0
49.789,8
47.917,9
39.575,2
48.883,9
45.640,0
70.575,5
42.247,5
41.424,7
22.451,8
42.658,1
891.355,2
2.623,140
2.633,880
3.461,114
1.394,277
1.244,977
2.953,270
2.405,700
3.086,880
2.627,152
2.355,870
2.861,037
3.853,951
2.113,440
3.087,085
2.355,024
4.153,305
2.672,450
2.231,906
2.119,649
2.539,848
11.770,5
11.844,0
10.804,6
13.834,5
8.914,4
12.144,5
12.320,0
10.974,0
14.407,8
8.407,5
12.885,3
10.742,3
9.531,2
11.038,3
13.349,7
18.952,5
10.212,5
11.039,3
3.649,8
12.655,6
110.580
119.798
60.310
5.733
433.620
109.634
139.830
79.050
108.612
98.472
102.336
94.037
77.700
41.283
206.172
69.310
89.012
68.992
55.626
162.960
2.109.750
2.330.944
1.000.168
79.968
7.549.740
2.211.622
2.754.710
1.466.300
2.095.884
1.792.296
1.937.496
1.758.943
1.384.200
590.139
4.238.946
1.287.310
1.624.469
1.283.568
710.946
3.270.840
11.203,5
11.829,3
13.072,6
1.097,6
34.273,8
11.078,2
11.505,0
12.369,0
9.802,8
10.243,2
13.054,4
13.775,9
11.460,0
11.969,1
16.560,0
11.339,0
11.357,7
6.670,4
15.468,6
11.378,1
680,940
702,835
929,426
56,791
730,026
746,774
645,165
810,960
510,048
702,768
750,136
1.107,971
612,000
755,865
854,496
667,290
718,454
359,392
1.460,373
677,448
52.773,955
229.478,3
2.233.067
41.478.239
249.508,2
14.479,158
Universitas Sumatera Utara
61
No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
∑
3.055,5
3.160,5
2.901,4
563,5
5.227,2
3.070,9
3.304,0
2.883,0
2.797,2
2.508,0
3.378,4
3.088,3
2.760,0
2.702,7
4.843,8
3.045,0
2.745,5
1.777,6
2.514,6
3.375,6
2.755.000
3.082.112
567.580
190.944
9.278.300
2.943.692
4.426.212
1.206.150
3.584.627
2.532.297
1.842.984
1.373.699
1.195.026
276.193
5.099.022
1.060.921
1.731.268
2.858.856
272.436
6.294.400
59.702,7
52.571.719
14.630,0
15.641,4
7.418,5
2.620,8
42.121,0
14.745,2
18.486,0
10.174,5
16.765,9
14.472,4
12.417,6
10.758,7
9.893,8
5.601,7
19.920,0
9.344,9
12.104,4
14.856,8
5.927,6
21.896,0
889,200
929,330
527,435
135,603
897,170
993,964
1.036,638
667,080
872,344
992,926
713,544
865,303
528,360
353,755
1.027,872
549,939
765,688
800,464
559,618
1.303,680
3.990,0
4.179,0
1.646,5
1.345,5
6.424,0
4.087,4
5.308,8
2.371,5
4.784,1
3.543,5
3.213,6
2.411,9
2.382,8
1.264,9
5.826,6
2.509,5
2.926,0
3.959,2
963,6
6.496,0
279.125,0
304.339,2
123.026,8
36.556,8
733.367,0
297.451,6
364.182,0
188.727,0
323.531,3
263.413,2
235.098,6
201.239,3
176.254,8
80.076,1
409.560,0
173.564,9
220.905,3
276.404,7
75.759,6
439.484,0
16.965,000
18.082,240
8.746,868
1.891,488
15.620,590
20.051,012
20.422,206
12.373,680
16.833,608
18.072,318
13.509,309
16.185,317
9.412,560
5.056,915
21.133,296
10.214,139
13.973,806
14.892,306
7.152,378
26.166,720
76.125,0
81.312,0
27.305,2
18.768,0
111.848,0
82.454,2
104.585,6
43.989,0
92.318,7
64.495,5
60.842,1
45.114,1
42.448,8
18.081,7
119.796,3
46.609,5
53.399,5
73.659,3
12.315,6
130.384,0
279.797,2 15.409,913
69.634,4
5.202.067,2
286.755,756
1.305.852,1
90,090
91,766
114,325
25,962
70,913
100,437
85,293
104,378
78,734
103,286
91,023
126,762
77,928
102,564
82,560
89,969
97,700
77,392
155,620
91,025
404,250
412,650
356,890
257,600
507,760
413,020
436,800
371,070
431,790
368,600
409,940
353,330
351,440
366,730
468,000
410,550
373,350
382,790
267,960
453,560
24,570
24,518
25,374
13,329
10,815
27,841
24,494
24,329
22,466
25,289
23,556
28,418
18,768
23,160
24,149
24,161
23,617
20,624
25,298
27,005
1.857,725 7.798,080
461,780
Universitas Sumatera Utara
62
Lampiran 4 Menentukan parameter regresi linier berganda
(Contoh Ilustrasi Kasus 2)
No
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
∑
1.646.089,00
61.653.904,00
67.059.721,00
56.205.009,00
72.829.156,00
75.481.344,00
52.852.900,00
25.200.400,00
36.421.225,00
55.130.625,00
88.360.000,00
87.422.500,00
42.771.600,00
58.905.625,00
55.041.561,00
62.773.929,00
1.106.283,24
1.163.809,44
1.156.270,09
1.226.556,25
1.371.475,21
1.525.225,00
1.483.036,84
1.445.525,29
1.615.441,00
1.776.089,29
1.957.760,64
2.049.478,56
2.192.472,49
2.281.006,09
2.226.660,84
2.357.453,16
2.260.812,96
2.210.276,89
2.058.651,04
4.143.667,36
5.573.376,64
4.177.527,21
1.773.957,61
1.345.600,00
2.356.225,00
3.848.659,24
4.037.286,49
2.964.939,61
1.684.804,00
1.210.000,00
1.079.521,00
1.440.000,00
12,96
12,25
25,00
36,00
31,36
24,01
31,36
72,25
59,29
49,00
36,00
36,00
51,84
57,76
84,64
77,44
33,64
44,89
70,56
38,44
29,16
34,81
88,36
88,36
51,84
43,56
57,76
112,36
222,01
275,56
306,25
256,00
899.755.588,00 26.934.543,43
42.165.305,05
697,16
1.753,56
34,81
20,25
17,64
17,64
24,01
25,00
16,81
11,56
17,64
20,25
15,21
19,36
15,21
9,61
0,36
2,25
1.349.459,40
8.470.737,60
8.805.631,70
8.302.927,50
9.994.167,40
10.729.680,00
8.853.406,00
6.035.546,00
7.670.485,00
9.895.297,50
13.152.480,00
13.385.460,00
9.683.778,00
11.591.552,50
11.070.631,80
12.164.974,20
1.929.118,80
11.673.568,40
11.749.577,20
15.260.893,20
20.147.067,20
17.757.403,20
9.682.913,00
5.823.200,00
9.263.725,00
14.566.365,00
18.887.420,00
16.099.765,00
8.488.920,00
8.442.500,00
7.708.341,00
9.507.600,00
4.618,80
27.482,00
40.945,00
44.982,00
47.790,40
42.571,20
40.712,00
42.670,00
46.469,50
51.975,00
56.400,00
56.100,00
47.088,00
58.330,00
68.254,80
69.722,40
267,61 151.156.214,60
186.988.377,00
746.111,10
Universitas Sumatera Utara
63
No
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
∑
7.441,40
52.608,40
68.787,60
46.481,40
46.083,60
51.259,20
68.338,00
47.188,00
43.452,00
49.005,00
71.440,00
99.110,00
97.446,00
127.405,00
129.832,50
126.768,00
7.569,70
35.334,00
34.393,80
31.487,40
41.816,60
43.440,00
29.807,00
17.068,00
25.347,00
33.412,50
36.660,00
41.140,00
25.506,00
23.792,50
4.451,40
11.884,50
1.581.486,48
1.603.851,96
1.542.840,44
2.254.427,00
2.764.732,88
2.524.216,50
1.621.987,82
1.394.668,00
1.950.985,00
2.614.490,86
2.811.412,56
2.465.072,04
1.921.948,60
1.661.330,00
1.550.395,80
1.842.480,00
3.786,48
3.775,80
5.376,50
6.645,00
6.558,16
6.051,50
6.819,68
10.219,55
9.786,70
9.328,90
8.395,20
8.589,60
10.661,04
11.478,28
13.728,24
13.511,52
6.100,44
7.227,96
9.032,52
6.866,50
6.323,94
7.286,50
11.447,32
11.301,62
9.151,20
8.795,82
10.633,92
15.174,96
22.062,43
25.070,98
26.113,50
24.566,40
6.205,62
4.854,60
4.516,26
4.651,50
5.738,39
6.175,00
4.992,98
4.087,82
5.338,20
5.997,15
5.456,88
6.299,04
5.774,73
4.681,93
895,32
2.303,10
5.412,96
5.203,45
7.174,00
12.213,60
13.220,48
10.015,11
7.458,64
9.860,00
11.819,50
13.732,60
12.055,80
10.331,40
9.345,60
8.360,00
9.558,80
10.560,00
8.720,88
9.960,89
12.052,32
12.620,72
12.748,32
12.059,01
12.519,86
10.904,00
11.052,00
12.947,88
15.270,68
18.252,14
19.340,20
18.260,00
18.182,50
19.200,00
8.871,24
6.690,15
6.026,16
8.549,52
11.567,92
10.219,50
5.460,79
3.944,00
6.447,00
8.828,10
7.836,27
7.576,36
5.062,20
3.410,00
623,40
1.800,00
20,88
23,45
42,00
37,20
30,24
28,91
52,64
79,90
55,44
46,20
45,60
63,60
107,28
126,16
161,00
140,80
21,24
15,75
21,00
25,20
27,44
24,50
22,96
28,90
32,34
31,50
23,40
26,40
28,08
23,56
5,52
13,20
34,22
30,15
35,28
26,04
26,46
29,50
38,54
31,96
30,24
29,70
29,64
46,64
58,11
51,46
10,50
24,00
1.132.646,10 443.110,40 32.106.325,94 134.712,15 207.156,01 77.968,52 156.321,94 224.091,40 102.912,61 1.061,30 370,99 532,44
Universitas Sumatera Utara
64
Lampiran 5 Transformasi Data Kasus 1
Transformasi Variabel Pengamatan (Variabel Asal) ke Bentuk Variabel Baku
No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0,2263
0,4675
-1,1216
-0,4264
-0,1000
0,6236
0,9783
-0,5115
1,7871
0,9074
-0,2845
-0,4547
-0,4689
-1,3344
0,4675
-1,0507
0,2547
1,6452
-2,2141
0,6094
Z1
Z2
Z3
Z4
Z5
Z6
Z7
Z8
0,3516
0,4870
-0,8041
-0,4689
0,1142
0,6327
1,0117
-0,5063
0,2121
-0,7916
0,3870
-0,4938
0,1246
-0,5896
1,7614
0,3599
-0,4689
-0,4584
-2,7345
1,8738
-0,0721
-0,0407
0,3443
0,2951
-0,5557
-0,0094
-0,1661
0,1921
0,7204
-1,1288
0,5100
0,3130
-0,4527
0,3398
0,0175
2,9905
-0,2781
-0,1975
-2,6153
-0,2064
-0,1303
-0,0308
0,2179
-2,5377
2,8839
-0,1701
-0,0905
0,0587
-0,5183
-0,3989
0,2378
0,4268
-0,0408
-0,0706
1,0933
-0,1403
-0,1502
-1,2743
0,7650
-0,1303
0,2455
0,3632
-1,0295
-1,4741
2,5339
0,2586
0,8601
-0,5718
0,5790
0,1997
-0,1991
-0,4672
-0,5456
-1,3302
1,0170
-0,6764
-0,2252
0,3240
-1,2845
1,4224
0,2819
0,4417
-1,0701
-1,5344
2,0472
0,4294
0,9570
-0,5328
0,6269
0,1329
-0,1523
-0,4232
-0,5703
-1,4196
1,2483
-0,6269
-0,2447
0,2958
-1,4587
1,5719
-0,1489
-0,0104
0,1281
-2,9370
3,1760
-0,1316
-0,0623
0,0935
-0,0797
-0,0970
0,0762
0,0589
-0,2009
0,1628
0,1108
-0,0450
-0,0104
-0,2528
0,2147
-0,0450
-0,0276
-0,0361
0,8436
-2,0412
-1,9218
0,4191
-0,2885
0,4429
-0,5664
0,5214
-0,1180
1,4267
-0,5391
0,3219
-0,4982
-0,0941
0,2213
-0,5357
2,5179
-0,0481
0,4211
0,4211
-0,8622
1,2231
-0,9424
0,5815
0,9825
-0,5414
0,9023
-0,3810
0,2607
-0,8622
-0,6216
-0,7018
1,3835
0,4211
-0,3810
0,1003
-2,7068
1,3033
Universitas Sumatera Utara
65
Lampiran 6 Transformasi Data Kasus 2
Transformasi Variabel Pengamatan (Variabel Asal) ke Bentuk Variabel Baku
No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
-3,05605
0,30480
0,47722
0,12317
0,65373
0,73252
0,00703
-1,14412
-0,62482
0,08634
1,09679
1,07121
-0,36645
0,21424
0,08327
0,34112
Z1
-1,38806
-1,22874
-1,24939
-1,05940
-0,68413
-0,30708
-0,40857
-0,50003
-0,09467
0,26939
0,66178
0,85295
1,14267
1,31732
1,21052
1,46543
Z2
-0,18179
-0,22400
-0,35361
1,14681
1,95896
1,16754
-0,61059
-1,03990
-0,10338
0,96251
1,08113
0,36339
-0,69526
-1,18974
-1,34208
-0,94000
Z3
-1,62098
-1,67913
-0,80685
-0,22534
-0,45794
-0,86501
-0,45794
1,22845
0,76324
0,35618
-0,22534
-0,22534
0,47248
0,70509
1,63552
1,40291
Z4
-0,90880
-0,69566
-0,29306
-0,81407
-1,00352
-0,88511
-0,05624
-0,05624
-0,57725
-0,71934
-0,48252
0,22794
1,24626
1,64886
1,86200
1,50677
Z5
1,55312
0,46932
0,23708
0,23708
0,77898
0,85639
0,15967
-0,38223
0,23708
0,46932
0,00484
0,39191
0,00484
-0,61448
-2,54983
-1,85310
Universitas Sumatera Utara
66
Lampiran 7 Nilai Residual dan MSE Contoh Ilustrasi Kasus 1
Regresi Komponen Utama
No
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
2156,2458
0,754
2160,7211
13,279
2092,515 -30,515
2151,8291 -40,829
2183,0591 -49,059
2159,392
25,608
2186,4078
23,592
2113,4565
-8,457
2178,9097
88,090
2116,0909
88,909
2150,628 -29,628
2101,4403
7,560
2126,6613 -18,661
2097,1024 -50,102
2207,3387 -33,339
2161,2167 -94,217
2121,4351
37,565
2148,5591 108,441
1997,7127 -12,713
2210,2789 -26,279
Jumlah
Mean Square Error (MSE)
0,569
176,330
931,167
1.667,014
2.406,794
655,769
556,594
71,513
7.759,895
7.904,827
877,817
57,149
348,246
2.510,247
1.111,469
8.876,782
1.411,125
11.759,425
161,613
690,581
49.934,925
2.496,746
Regresi Ridge
No
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
2163,655619
-6,6556185
2167,413677
6,5863235
2069,722979
-7,7229789
2153,409359 -42,4093586
2159,665162 -25,6651616
2170,960408
14,0395922
2201,999321
8,0006787
2104,397393
0,6026071
2198,174897
68,8251034
2164,115108
40,8848922
2124,858211
-3,8582113
2094,234469
14,7655308
2103,608302
4,391698
2062,670991
-15,670991
2178,951847
-4,9518466
2105,569655 -38,5696554
2130,849829
28,1501711
2200,2072
56,7928002
2028,485239 -43,4852392
2235,685095 -51,6850952
Jumlah
Mean Square Error (MSE)
44,29726
43,37966
59,6444
1798,554
658,7005
197,1101
64,01086
0,363135
4736,895
1671,574
14,88579
218,0209
19,28701
245,58
24,52078
1487,618
792,4321
3225,422
1890,966
2671,349
19864,61
993,2306
Universitas Sumatera Utara
67
Lampiran 8 Nilai Residual dan MSE Contoh Ilustrasi Kasus 2
Regresi Komponen Utama
No
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
6.412,964 -5.129,964
7.746,946
105,054
8.067,878
121,121
7.314,075
182,924
8.325,735
208,264
8.215,736
472,264
7.252,673
17,326
5.316,544
-296,543
6.274,957
-239,956
7.207,023
217,9768
9.185,055
214,945
8.963,865
386,135
6.783,905
-243,904
7.409,697
265,3033
7.367,558
51,441
7.879,753
43,246
Jumlah
Mean Square Error (MSE)
26.316.534
11.036,41
14.670,47
33.461,41
43.374,14
223.033,4
300,2152
87.938,11
57.579,17
47.513,89
46.201,48
149.100,3
59.489,41
70.385,86
2.646,252
1.870,268
27.165.134
1.697.821
Regresi Ridge
No
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
5.379,303
-4096,3
6.605,165 1246,835
6.190,121 1998,879
7.708,188 -211,188
8.520,066 13,93438
8.002,459 685,5409
6.346,384 923,6161
5.261,456 -241,456
6.259,169 -224,169
7.803,427 -378,427
9.084,866 315,1342
8.057,869 1292,131
7.081,699 -541,699
7.143,659 531,3409
8.303,655 -884,655
8.349,491 -426,491
Jumlah
Mean Square Error (MSE)
16.779.701
1.554.599
3.995.519
44.600,38
194,1669
469.966,4
853.066,7
58.300,77
50.251,68
143.207,3
99.309,58
1.669.603
293.437,8
282.323,2
782.614,3
181.894,5
27.258.588
1.703.662
Universitas Sumatera Utara