�� = 14,94827 + 0,86566�
�
3.4 Rata-rata Kuadrat Sisa untuk MKT
Berdasarkan model yang telah terbentuk dengan metode kuadrat terkecil, akan dihitung nilai sisaan dan sisaan kuadrat untuk metode kuadrat terkecil. Kemudian
akan dihitung jumlah kuadrat regresi dan kuadrat total untuk mendapatkan nilai rata-rata kuadrat sisa Mean Square Error. Nilai rata-rata kuadrat sisa diperoleh
dengan rumus: �
2
= ���
� − � �
2
= ��� − ���
� − � �
2
= ∑ �
�
− ��
2 �
�
− ∑ ��
�
− ��
2 �
�
� − � keterangan:
JKS = jumlah kuadrat sisa
JKT = jumlah kuadrat total
JKR = jumlah kuadrat regresi
n = jumlah sampel
p = jumlah parameter
�
�
= data sebenarnya ��
�
= data dugaan ��
�
= rata-rata data sebenarnya
Berikut perhitungan nilai rata-rata kuadrat sisa dari masing-masing kelompok data pada Lampiran 2 yakni:
1. Perhitungan nilai rata-rata kuadrat sisa untuk data kelompok 1 adalah:
n = 100 p = 2
sehingga:
Universitas Sumatera Utara
�
2
= ��� − ���
� − � �
2
= 11.256,33
− 6.627,187 100
− 2 �
2
= 4.629,147
98 = 47,23620
Jadi, nilai rata-rata kuadrat sisa yang diperoleh adalah 47,23620.
2. Perhitungan nilai rata-rata kuadrat sisa untuk data kelompok 2 adalah:
n = 100 p = 2
sehingga: �
2
= ��� − ���
� − � �
2
= 10.706
− 5.142,351 100
− 2 �
2
= 5.563,651
98 = 56,77195
Jadi, nilai rata-rata kuadrat sisa yang diperoleh adalah 56,77195.
3. Perhitungan nilai rata-rata kuadrat sisa untuk data kelompok 3 adalah:
n = 100 p = 2
sehingga: �
2
= ��� − ���
� − � �
2
= 11.919,72
− 3.983,798 100
− 2 �
2
= 7.935,918
98 = 80,97875
Jadi, nilai rata-rata kuadrat sisa yang diperoleh adalah 80,97875. 4.
Perhitungan nilai rata-rata kuadrat sisa untuk data kelompok 4 adalah:
Universitas Sumatera Utara
n = 100 p = 2
sehingga: �
2
= ��� − ���
� − � �
2
= 11.704,68
− 4.200,224 100
− 2 �
2
= 7.504,454
98 = 76,57607
Jadi, nilai rata-rata kuadrat sisa yang diperoleh adalah 76,57607.
3.5 Regresi Robustdengan Penaksir LTS
Metode regresi robust merupakan metode yang digunakan untuk mengatasi permasalahan pencilan dan dikembangkan dengan tujuan untuk mendapatkan sifat
robust kuat yang mampumengenali dan mengatasi adanya pencilan. Metode penaksir ini adalah metode penaksiran parameter regresi robust dengan
menggunakan konsep pengepasan metode kuadrat terkecil ordinary least squares untuk meminimumkan jumlah kuadrat sisaan.
Kemudian untuk mendapatkan model penaksiran dengan metode least trimmed squaresmaka nilai sisaan kuadrat
�
� 2
akandiurutkan dari terkecil hingga terbesar.
Tabel 3.11 Nilai Sisaan Terurut
Data ke-
Data Kelompok 1
2 3
4 1
2 3
4 5
1 0,003548
0,074807 4,96E-05 0,048597 2
0,004025 0,176716 0,021779 0,055775
3 0,0892
0,189662 0,036538 0,106772 4
0,164641 0,237603 0,060451 0,58441
1 2
3 4
5 5
0,692446 0,239336 0,105499 0,594227
Universitas Sumatera Utara
6 0,781626
0,378577 0,148839 1,098987 7
1,165704 0,551434 0,202154 1,163665
8 1,549662
0,739456 0,247312 1,267894 9
2,157473 0,816964 0,286398 1,570157
10 2,165564
0,998034 0,340715 1,926633 11
2,226300 1,094220 0,342883 2,025397
12 2,722483
1,678518 0,425192 2,778398 13
2,739075 2,115219 0,707102 2,836812
14 2,808784
2,167448 0,786322 3,664941 15
3,125331 2,173721 0,796864 4,822442
16 3,276170
2,467772 1,136870 5,328187 17
3,669603 2,486798 1,382504 5,364365
18 3,985129
2,571838 1,757890 5,459880 19
4,197617 2,715994 2,082622 5,687898
20 4,373918
2,791787 2,552100 5,900166 21
4,392065 3,531529 2,678780 6,382685
22 4,549632
3,560550 2,810601 7,336394 23
4,778134 3,633644 3,019418 7,419113
24 4,929928
3,746901 3,076760 7,536515 25
5,317741 4,070956 3,137685 8,383084
26 5,342192
4,234808 3,668985 8,617399 27
5,374886 4,671093 4,290479 8,884411
28 6,448912
4,878774 4,922196 9,627112 29
8,042407 5,069138 4,929661 9,698439
30 8,324162
5,139768 5,081265 11,46787 31
9,727852 5,393854 6,050017 11,68323
32 10,19759
6,373787 6,319957 12,04537 33
10,83648 6,831817 7,549545 12,36656
34 11,36165
7,032910 7,647170 14,19476 35
11,97112 7,226844 7,800260 14,46413
36 12,02730
7,953893 8,990602 15,62077 37
12,14165 9,197032 10,77266 15,69790
38 12,89624
9,302952 10,81117 16,33570 39
13,18984 9,526791 11,94548 16,94239
40 13,26188
10,63623 14,40086 17,39625 41
17,09269 11,14970 14,47680 18,88103
42 17,64465
12,32027 16,19416 18,97884 43
17,67667 12,56643 16,42835 21,25491
44 19,35492
13,05619 16,44094 21,31337 45
20,47646 13,27603 16,98003 22,04069
46 20,9324
15,02327 17,27139 25,96215 1
2 3
4 5
47 22,31303
16,23109 17,91256 26,53556
Universitas Sumatera Utara
48 22,41784
17,59443 19,07322 27,77313 49
23,98557 18,14327 21,65436 31,25962
50 26,93114
18,21694 23,39578 36,08010 51
28,09787 18,42749 23,40289 36,26420
52 28,11259
18,46771 25,79796 39,38813 53
28,39536 18,76820 28,56680 43,04827
54 30,20114
18,87613 30,80851 43,44487 55
31,79687 19,68957 31,76084 43,56191
56 33,16764
20,76621 37,42504 46,07846 57
33,33395 21,49865 40,92705 47,67866
58 40,32964
22,54896 43,15036 48,32506 59
40,46799 23,77431 46,27343 48,90040
60 40,51127
26,20106 46,88969 50,61113 61
43,06387 26,26129 46,94581 53,73845
62 43,18379
27,20614 47,03595 55,36618 63
44,75268 27,38743 48,08760 56,29682
64 46,02750
29,66613 48,14771 57,53195 65
46,91319 29,85440 48,21748 59,09035
66 49,32006
30,63292 49,23471 62,79703 67
50,16865 30,87118 54,01780 63,76396
68 53,60989
32,32758 54,86026 64,44618 69
55,48199 38,18069 56,99277 66,57927
70 56,88829
39,43151 58,88930 69,43886 71
59,11793 42,17777 60,17356 73,01214
72 63,20569
44,32642 60,41471 73,45847 73
63,59411 45,02059 61,65187 75,71435
74 66,50375
45,07248 63,38829 77,23506 75
66,64570 47,97749 65,98153 94,86948
76 68,33522
53,42503 68,83190 96,68574 77
69,18249 53,61155 70,80585 104,2733
78 70,30151
59,39894 74,43778 108,6724 79
73,11570 64,21790 77,00570 116,4247
80 76,68711
66,51469 77,75650 117,0462 81
79,15408 66,73192 85,71563 128,5229
82 81,63177
72,67790 102,5803 138,6000 83
89,24040 72,79158 109,8493 148,3038
84 93,32309
81,43203 111,2115 151,8957 85
99,09122 82,14561 112,6165 159,8981
86 100,1688
96,85158 141,0632 161,8068 87
105,2295 98,55170 143,8006 164,5831
88 116,1437
102,0549 155,1299 166,9627 1
2 3
4 5
89 122,4031
125,7945 156,9548 177,2550
Universitas Sumatera Utara
90 122,4567
132,1944 175,6549 181,8278 91
126,4589 135,6328 177,8460 182,8780
92 127,9715
173,0923 182,5920 208,5212 93
137,8887 174,3270 196,1274 248,0440
94 145,2201
176,2991 221,1615 251,1420 95
149,2686 189,1363 231,0140 330,6187
96 182,7497
233,6117 247,0903 350,3996 97
189,7404 253,7983 288,0610 365,9783
98 194,3503
293,4973 351,3481 383,3954 99
203,0297 298,7103 486,0224 469,2623
100 237,2016
1365,449 2.389,08 606,3557 Berdasarkan nilai sisaan kuadrat yang telah terurut akan diambil sebanyak
h pengamatan, nilai h diperoleh dari rumus ℎ = �
� 2
+
�+1 2
� =
[ �+�+1]
2
, dengann = 100 dan p = 2 sehingga diperoleh:
ℎ =
100+2+1 2
= 51,5 ≈ 52
Berikut ini data masing-masing kelompok yang telah diambil sebanyak h pengamatan.
Tabel 3.12 Data Kelompok 1 untuk Penaksir LTS
Data ke- X
Y ��
�
�
�
� 2
1 2
3 4
5 6
1 29,55657 40,17118 40,11161 0,059569 0,003548
2 21,14061 31,99603 32,05947 -0,06344 0,004025
3 27,78347 38,71382 38,41516 0,298663 0,089200
4 24,11822 35,31412 34,90836 0,40576 0,164641
5 24,27338 35,88895 35,05682 0,832133 0,692446
6 22,38679 32,36768 33,25178 -0,88410 0,781626
7 23,64163 35,53205 34,45237 1,079678 1,165704
8 36,4755 45,48658 46,73144 -1,24485 1,549662
9 29,0238 41,07071 39,60187 1,468834 2,157473
10 29,75051 38,82558 40,29716 -1,47159 2,165564
11 33,01645 44,91400 43,42192 1,492079 2,226300
12 29,29285 41,50928 39,85929 1,649995 2,722483
13 24,71633 33,82560 35,48061 -1,65502 2,739075
14 40,58374 48,98613 50,66208 -1,67594 2,808784
15 29,39212 41,72213 39,95427 1,767861 3,125331
1 2
3 4
5 6
16 31,83469 40,48123 42,29125 -1,81002
3,27617
Universitas Sumatera Utara
17 35,63591 44,01251 45,92813 -1,91562 3,669603
18 38,58055 46,74921 48,74549 -1,99628 3,985129
19 30,7637 43,31536 41,26655 2,048809 4,197617
20 25,94975 34,56932 36,66071 -2,09139 4,373918
21 27,81915 36,35357 38,44929 -2,09573 4,392065
22 30,24056 38,63304 40,76603 -2,13299 4,549632
23 37,11979 49,53376 47,34787 2,185894 4,778134
24 28,46568 41,28822 39,06787 2,220344 4,929928
25 40,90212 53,27272 50,96669 2,306023 5,317741
26 44,16298 51,77527 54,08659 -2,31132 5,342192
27 29,45897 42,33661 40,01822 2,31838 5,374886
28 22,10428 35,52095 32,98148 2,539471 6,448912
29 30,38004 38,06357 40,89948 -2,83591 8,042407
30 47,48107 54,37607 57,26123 -2,88516 8,324162
31 29,71313 43,38035 40,2614 3,118951 9,727852
32 44,36028 57,46872 54,27536 3,193367 10,19759
33 22,7689 30,32549 33,61737 -3,29188 10,83648
34 46,59793 59,78697 56,41627 3,370704 11,36165
35 35,94319 49,68207 46,22214 3,45993 11,97112
36 32,11075 39,08733 42,55537 -3,46804 12,02730
37 27,00098 34,18201 37,6665
-3,48449 12,14165 38
27,71680 41,94250 38,35137 3,591134 12,89624 39
31,47927 45,58298 41,95119 3,631782 13,18984 40
23,99872 31,15234 34,79403 -3,64169 13,26188 41
20,06318 35,16295 31,02862 4,134331 17,09269 42
27,62597 34,06391 38,26447 -4,20055 17,64465 43
34,23751 40,38583 44,5902 -4,20436 17,67667
44 35,79879 41,68456 46,08398 -4,39942 19,35492
45 19,24524 34,77113 30,24604 4,525093 20,47646
46 29,25879 35,25151 39,82671 -4,57519 20,93240
47 22,64944 38,22674 33,50308 4,723667 22,31303
48 46,81812 51,89220 56,62695 -4,73475 22,41784
49 35,34783 40,75501 45,65252 -4,89751 23,98557
50 29,04652 44,81313 39,62361 5,189522 26,93114
51 30,75822 46,56205 41,26131 5,300743 28,09787
52 34,22317 39,27434 44,57647 -5,30213 28,11259
Tabel 3.13 Data Kelompok 2 untuk Penaksir LTS
Universitas Sumatera Utara
Data ke- X
Y ��
�
�
�
� 2
1 2
3 4
5 6
1 38,20033 45,1576 45,43111 -0,27351 0,074807
2 38,12793 45,79216 45,37178 0,420375 0,176716
3 18,59265 28,92927 29,36477
-0,4355 0,189662
4 23,7398 34,06974 33,58229 0,487445 0,237603
5 52,75262 56,86589 57,35511 -0,48922 0,239336
6 34,76587 42,00166 42,61695 -0,61529 0,378577
7 39,23124 45,53324 46,27583 -0,74259 0,551434
8 17,85944 27,90407 28,76399 -0,85992 0,739456
9 21,16273 32,37453 31,47067 0,903861 0,816964
10 26,50885 34,85221 35,85123 -0,99902 0,998034
11 13,50086 24,14656 25,19261 -1,04605 1,094220
12 23,13152 31,7883 33,08388 -1,29558 1,678518
13 40,94829 46,22838 47,68276 -1,45438 2,115219
14 32,08192 41,88997 40,41774 1,472226 2,167448
15 26,63582 34,48091 35,95526 -1,47435 2,173721
16 33,43278 43,09554 41,52463 1,570914 2,467772
17 23,80648 35,21389 33,63693 1,576958 2,486798
18 43,39995 51,29532 49,69163 1,603695 2,571838
19 24,06255 35,49478 33,84675 1,648027 2,715994
20 26,75824 34,38471 36,05557 -1,67086 2,791787
21 30,45736 37,20736 39,0866
-1,87924 3,531529 22
26,25136 33,7533 35,64024 -1,88694 3,56055
23 17,15792 30,09538 28,18917 1,906212 3,633644
24 34,20891 44,09627 42,16058 1,935691 3,746901
25 39,0443 48,14031 46,12265 2,017661 4,070956
26 49,4608 52,59996 54,65782 -2,05786 4,234808
27 33,46781 43,7146 41,55333 2,161271 4,671093
28 37,08485 46,72589 44,5171 2,208795 4,878774
29 36,41086 41,71336 43,96483 -2,25147 5,069138
30 24,2726 31,75176 34,01887 -2,26711 5,139768
31 17,61479 30,88599 28,56352 2,322467 5,393854
32 53,34214 55,31352 57,83816 -2,52464 6,373787
33 27,19714 33,80143 36,4152
-2,61377 6,831817 34
26,38167 38,39898 35,74702 2,651963 7,03291 35
20,70278 33,78207 31,09379 2,688279 7,226844 36
24,67059 31,52471 34,34497 -2,82026 7,953893 37
29,30558 41,1755 38,14284 3,032661 9,197032 38
21,29077 28,52551 31,57558 -3,05007 9,302952 39
41,50944 45,05601 48,14256 -3,08655 9,526791 1
2 3
4 5
6 40
14,92175 23,09555 26,35687 -3,26132 10,63623
Universitas Sumatera Utara
41 19,86411 33,74571 30,40659 3,339117 11,14970
42 28,63277 41,10157 37,59155 3,510025 12,32027
43 29,04005 34,38035 37,92527 -3,54492 12,56643
44 41,51401 44,53297 48,1463
-3,61333 13,05619 45
21,37247 27,9989 31,64253 -3,64363 13,27603 46
37,71788 48,91178 45,03579 3,875986 15,02327 47
42,57739 53,04641 49,01763 4,028782 16,23109 48
33,24595 45,56611 41,37154 4,194571 17,59443 49
29,1598 42,28288 38,02339 4,259491 18,14327 50
22,24937 28,09292 32,36105 -4,26813 18,21694 51
21,7661 27,67234 31,96506 -4,29272 18,42749 52
24,8516 38,7907 34,49329 4,297407 18,46771
Tabel 3.14 Data Kelompok 3 untuk Penaksir LTS
Data ke- X
Y ��
�
�
�
� 2
1 2
3 4
5 6
1 37,73232 44,15409 44,14705 0,007041 4,96E-05
2 35,76885 42,97343 42,82585 0,147576 0,021779
3 28,74595 38,29136 38,10021 0,19115 0,036538
4 43,35575 48,17687
47,931 0,245867 0,060451
5 35,31827 42,19785 42,52266 -0,32481 0,105499
6 31,62098 40,42059 40,03479 0,385797 0,148839
7 32,20885 39,98075 40,43036 -0,44962 0,202154
8 37,35673 43,39702 43,89432 -0,49731 0,247312
9 32,25274 39,92474 40,4599
-0,53516 0,286398 10
27,67897 36,79854 37,38225 -0,58371 0,340715 11
27,93389 36,96822 37,55379 -0,58556 0,342883 12
17,67922 30,00145 30,65352 -0,65207 0,425192 13
25,35646 34,97857 35,81946 -0,84089 0,707102 14
27,49074 38,14234 37,25559 0,886748 0,786322 15
40,49931 46,90160 46,00893 0,892672 0,796864 16
22,28542 32,68675 33,75299 -1,06624 1,136870 17
39,57518 46,56289 45,38709 1,175799 1,382504 18
35,30503 43,83961 42,51375 1,325854 1,757890 19
20,61227 31,18401 32,62714 -1,44313 2,082622 20
33,32347 42,77791 41,18038 1,597529 2,55210 21
29,53431 36,99399 38,63069 -1,6367
2,67878 22
29,39431 40,21297 38,53649 1,676485 2,810601 23
31,45907 41,66349 39,92584 1,737647 3,019418 24
42,26966 45,44611 47,20018 -1,75407 3,07676
1 2
3 4
5 6
25 33,08343 39,24751 41,01886 -1,77135 3,137685
Universitas Sumatera Utara
26 33,80334 39,58782 41,50328 -1,91546 3,668985
27 28,88071 40,26224 38,19089 2,071347 4,290479
28 17,27758 32,60186 30,38326 2,218602 4,922196
29 16,39683 27,57033 29,79061 -2,22028 4,929661
30 11,19797 24,03819 26,29235 -2,25417 5,081265
31 24,97487 33,10301 35,56269 -2,45968 6,050017
32 35,20957 39,93557 42,44952 -2,51395 6,319957
33 42,04388 49,7959 47,04826 2,747644 7,549545
34 33,49929 44,06404 41,29869 2,765352 7,64717
35 32,6576 43,52522 40,73232 2,792895 7,80026
36 42,53627 50,37801 47,37958 2,998433 8,990602
37 34,38473 45,17666 41,89449 3,282173 10,77266
38 27,28392 33,82839 37,11643 -3,28803 10,81117
39 26,08254 32,85181 36,30803 -3,45622 11,94548
40 33,79499 45,29251 41,49766 3,794846 14,40086
41 22,39107 30,01924 33,82408 -3,80484
14,4768 42
21,35571 37,15159 33,12739 4,024196 16,19416 43
20,43011 36,55776 32,50457 4,05319 16,42835 44
39,45915 49,36376 45,30902 4,054743 16,44094 45
29,74637 42,89407 38,77338 4,120683 16,98003 46
48,24881 55,37938 51,22349 4,155886 17,27139 47
31,43041 35,67424 39,90656 -4,23232 17,91256 48
43,30303 52,26282 47,89553 4,36729 19,07322 49
24,30172 39,76316 35,10973 4,653425 21,65436 50
14,04516 33,04512 28,2082 4,836918 23,39578 51
18,42851 26,32006 31,15771 -4,83765 23,40289 52
33,08429 46,09861 41,01944 5,079169 25,79796
Tabel 3.15 Data Kelompok 4 untuk Penaksir LTS
Data ke- X
Y ��
�
�
�
� 2
1 2
3 4
5 6
1 30,13122 41,25211 41,03166 0,220448 0,048597
2 25,04442 36,86439 36,62822 0,236167 0,055775
3 34,40308 44,40288 44,72964 -0,32676 0,106772
4 16,80373 28,73012 29,49459 -0,76447 0,584410
5 26,24908 38,44191 37,67105 0,770861 0,594227
6 28,86969 38,89128 39,93961 -1,04833 1,098987
7 35,66173 44,74047 45,8192
-1,07873 1,163665 8
31,27615 43,14879 42,02278 1,126008 1,267894 9
25,78838 36,01918 37,27224 -1,25306 1,570157 1
2 3
4 5
6 10
23,06165 36,29985 34,91182 1,388032 1,926633
Universitas Sumatera Utara
11 27,18383 37,05706 38,48022 -1,42316 2,025397
12 27,13237 40,10253 38,43568 1,666853 2,778398
13 30,3813 42,93243 41,24815 1,684284 2,836812
14 27,48365 40,65417 38,73977 1,914404 3,664941
15 34,28952 42,43533 44,63134 -2,19601 4,822442
16 21,99154 31,67718 33,98547 -2,30829 5,328187
17 18,34889 33,14828 30,83217 2,31611 5,364365
18 45,72712 52,19577 54,53241 -2,33664
5,45988 19
19,2204 29,20167 31,5866 -2,38493 5,687898
20 27,2407 40,95848 38,52945 2,429026 5,900166
21 28,15924 36,7982
39,3246 -2,5264
6,382685 22
28,5982 36,99601 39,70459 -2,70858 7,336394 23
38,12271 50,67338 47,94958 2,723805 7,419113 24
26,08336 34,78232 37,52759 -2,74527 7,536515 25
36,33426 43,50603 46,40139 -2,89536 8,383084 26
42,48616 54,66238 51,72684 2,935541 8,617399 27
29,94013 37,88557 40,86624 -2,98067 8,884411 28
36,03373 43,03847 46,14123 -3,10276 9,627112 29
14,65998 30,75306 27,63883 3,114232 9,698439 30
20,22499 29,06981 32,45623 -3,38642 11,46787 31
24,70347 39,75115 36,33308 3,418074 11,68323 32
17,4873 33,55697 30,08633 3,470644 12,04537 33
30,08584 44,50899 40,99238 3,516612 12,36656 34
34,27644 40,85242 44,62001 -3,76759 14,19476 35
22,90638 38,58058 34,77741 3,803173 14,46413 36
20,45595 36,60848 32,65617 3,952312 15,62077 37
27,01297 34,37026 38,33232 -3,96206 15,6979
38 17,86739 26,37361 30,41535 -4,04174
16,3357 39
26,92559 42,37279 38,25668 4,116114 16,94239 40
41,30349 54,87393 50,70305 4,170881 17,39625 41
37,461 51,72199 47,37676 4,345231 18,88103
42 34,79871 40,71565 45,07212 -4,35647 18,97884
43 17,31506 34,54753 29,93722 4,610305 21,25491
44 31,90844 37,95349 42,57013 -4,61664 21,31337
45 35,02418 40,57255 45,2673
-4,69475 22,04069 46
33,00556 48,61517 43,51986 5,095307 25,96215 47
34,86972 50,28486 45,13359 5,151268 26,53556 48
22,96354 40,09691 34,82689 5,270022 27,77313 49
25,60622 31,52352 37,11455 -5,59103 31,25962 50
26,71742 32,0698 38,07647 -6,00667 36,08011 51
28,84795 33,89881 39,92079 -6,02198 36,2642
1 2
3 4
5 6
52 28,38288 45,79419 39,51819 6,275996 39,38813
Universitas Sumatera Utara
Kemudian untuk memperoleh nilai �̂
dan �̂
1
digunakan data dengan nilai sisaan kuadrat yang telah diurutkan sebanyak h. Berikut perhitungan masing-
masing kelompok data berdasarkan rumus pada 2.9 dan 2.10 diperoleh: 1.
Perhitungan nilai �̂
dan �̂
1
untuk data kelompok 1 yaitu: �̂
1
= ∑
�
�
�
� �
�=1
−
∑ �
�
∑ �
� �
�=1 �
�=1
�
�−
1 �
[ ∑
�
� �
�=1
]
2
+ ∑
�
� 2
� �=1
� �̂
1
= 68.961,834
−
2.152,039 �1.612,814
52
−
1 52
1.612,814
2
+ 52.565,719 �̂
1
= 68.961,834
− 66.746,907 2.543,241
�̂
1
= 0,87091 dan
�̂ =
�� − �̂
1
�� �̂
= 41,38537 − 0,8709131,01565
�̂ = 14,37361
Jadi, diperoleh model penaksir metodeleast trimmed squaresadalah: ��
�
= �̂
+ �̂
1
�
�
��
�
= 14,37361 + 0,87091 �
2. Perhitungan nilai
�̂ dan
�̂
1
untuk data kelompok 2 yaitu: �̂
1
= 63.946,642
−
2.008,979 �1.555,445
52
−
1 52
1.555,445
2
+ 51.182,623 �̂
1
= 63.946,642
− 3.853,264 4.655,538
�̂
1
= 0,82677 dan
�̂ = 38,63421
− 0,8267729,9124 �̂
= 13,87651 Jadi, diperoleh model penaksir metodeleast trimmed squaresadalah:
��
�
= �̂
+ �̂
1
�
�
Universitas Sumatera Utara
��
�
= 13,87651 + 0,82677 �
3. Perhitungan nilai
�̂ dan
�̂
1
untuk data kelompok 3 yaitu: �̂
1
= 65.715,796
−
2.070,464 �1.584,089
52
−
1 52
1.584,089
2
+ 51.756,837 �̂
1
= 65.715,796
− 63.073,087 3.500,300
�̂
1
= 0,75500 dan
�̂ = 39,81662
− 0,7550030,46326 �̂
= 16,81700 Jadi, diperoleh model penaksir metodeleast trimmed squaresyaitu:
��
�
= �̂
+ �̂
1
�
�
��
�
= 16,81700 + 0,75500 �
4. Perhitungan nilai
�̂ dan
�̂
1
untuk data kelompok 4 yaitu: �̂
1
= 60.473,622
−
2.056,963 �1.476,857
52
−
1 52
1.476,857
2
+ 44.428,899 �̂
1
= 60.473,622
− 58.419,986 2.484,558
�̂
1
= 0,82656 dan
�̂ = 39,55698
− 0,8265628,40109 �̂
= 16,08177 Jadi, diperoleh model penaksir metodeleast trimmed squaresyaitu:
��
�
= �̂
+ �̂
1
�
�
��
�
= 16,08177 + 0,82656 �
3.6 Rata-rata Kuadrat Sisa untuk Penaksir LTS