Rata-rata Kuadrat Sisa untuk MKT Regresi Robustdengan Penaksir LTS

�� = 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