Metode Kuadrat Terkecil PEMBAHASAN

data kelompok 4 yang termasuk pencilan dilihat berdasarkan nilai leverageadalah data ke-10, 17, 18, 21, 22, 28, 29, 30, 39, 58, 62, 67, 68, 73, 98 dan 100. Sedangkan jika dilihat berdasarkan nilai |DfFITS| maka data yang termasuk pencilan adalah data ke-26, 34, 39, 41, 62, 64, 67 dan 100.

3.3 Metode Kuadrat Terkecil

Prinsip dasar metode kuadrat terkecil adalah untuk meminimumkan jumlah kuadrat sisaan dari model regresi yang terbentuk. Model regresi yang akan dibentuk yaitu regresi linier sederhana dengan persamaan sebagai berikut: � � = � + � 1 � � + � � dengan model penaksir regresinya adalah: �� � = �̂ + �̂ 1 � � Berikut ini perhitungan nilai penaksir paramater �̂ dan �̂ 1 sehingga model penaksiran dengan metode kuadrat terkecil berdasarkan rumus pada 2.9 dan 2.10 adalah: 1. Model penaksir untuk persamaan regresi linier sederhana dengan metode kuadrat terkeciluntuk data kelompok 1 adalah: Tabel 3.7 Perkalian Variabel Bebasdan Variabel Terikat untuk Data Kelompok 1 Data ke- X Y XY X 2 1 2 3 4 5 1 24,74459 25,49922 630,96769 612,29483 2 25,94975 34,56932 897,06512 673,38942 3 27,21102 44,89028 1.221,51015 740,43945 4 20,06318 35,16295 705,48054 402,53115 5 39,26117 55,17023 2.166,04754 1.541,43910 6 30,95748 32,41692 1.003,54608 958,36526 7 38,69946 57,61637 2.229,72212 1.497,64800 8 24,71633 33,82560 836,04464 610,89697 9 32,22099 52,10756 1.678,95742 1.038,19240 10 35,63591 44,01251 1.568,42577 1.269,91770 11 22,38679 32,36768 724,60858 501,16841 Universitas Sumatera Utara 1 2 3 4 5 12 22,7689 30,32549 690,47813 518,42290 13 15,72962 20,03307 315,11256 247,42082 14 46,59793 59,78697 2.785,94890 2.171,36670 15 24,11822 35,31412 851,71375 581,68858 16 31,83469 40,48123 1.288,70724 1.013,44740 17 35,79879 41,68456 1.492,25698 1.281,55370 18 29,08096 28,59296 831,51067 845,70194 19 22,46247 40,77281 915,85798 504,56251 20 40,42332 64,28321 2.598,54067 1.634,04450 21 25,65631 28,06235 719,97626 658,24599 22 36,98364 41,57874 1.537,73293 1.367,78960 23 38,07973 55,05067 2.096,31502 1.450,06610 24 23,29239 27,76766 646,77509 542,53520 25 37,11979 49,53376 1.838,68282 1.377,87870 26 44,72131 61,19221 2.736,59570 1.999,99530 27 47,48107 54,37607 2.581,83414 2.254,45210 28 39,76654 41,71652 1.658,92162 1.581,37760 29 40,77041 42,68569 1.740,31333 1.662,22650 30 34,22317 39,27434 1.344,09219 1.171,22510 31 22,84071 26,60309 607,63333 521,69785 32 40,90212 53,27272 2.178,96722 1.672,98370 33 29,02380 41,07071 1.192,02814 842,38114 34 21,46592 39,69259 852,03779 460,78551 35 40,58374 48,98613 1.988,04062 1.647,04010 36 46,87386 49,99053 2.343,24867 2.197,15840 37 29,39212 41,72213 1.226,30211 863,89695 38 28,13137 45,11287 1.269,08690 791,37409 39 42,35948 41,11566 1.741,63810 1.794,32580 40 46,81812 51,89220 2.429,49536 2.191,93670 41 11,45585 29,35569 336,29446 131,23655 42 22,95527 47,31418 1.086,10971 526,94437 43 44,16298 51,77527 2.286,55023 1.950,36900 44 32,11075 39,08733 1.255,12351 1.031,10020 45 30,92658 26,02104 804,74178 956,45329 46 32,09130 31,22431 1.002,02870 1.029,85140 47 28,80555 47,36764 1.364,45077 829,75942 48 23,12979 45,70526 1.057,15313 534,98723 49 30,24056 38,63304 1.168,28489 914,49147 50 35,34783 40,75501 1.440,60136 1.249,46940 51 30,76370 43,31536 1.332,54064 946,40505 52 5,946296 3,273160 19,46317 35,35844 53 30,28623 49,36050 1.494,94371 917,25597 Universitas Sumatera Utara 1 2 3 4 5 54 17,33047 36,36425 630,20965 300,34533 55 24,27338 35,88895 871,14624 589,19717 56 27,98330 27,54033 770,66932 783,06491 57 28,46568 41,28822 1.175,29706 810,29471 58 18,44030 34,97145 644,88396 340,04459 59 34,23751 40,38583 1.382,71045 1.172,20730 60 22,64944 38,22674 865,81442 512,99722 61 37,97051 58,11627 2.206,70458 1.441,75970 62 30,98596 33,09461 1.025,46836 960,12990 63 27,81915 36,35357 1.011,32524 773,90488 64 30,38004 38,06357 1.156,37269 922,94683 65 33,01645 44,91400 1.482,90077 1.090,08600 66 27,78347 38,71382 1.075,60404 771,92093 67 19,24524 34,77113 669,17882 370,37930 68 36,47550 45,48658 1.659,14591 1.330,46220 69 30,75822 46,56205 1.432,16578 946,06797 70 36,90459 54,83079 2.023,50766 1.361,94850 71 12,01599 32,22616 387,22912 144,38392 72 31,47927 45,58298 1.434,91895 990,94463 73 29,25879 35,25151 1.031,41666 856,07697 74 23,99872 31,15234 747,61648 575,93875 75 29,04652 44,81313 1.301,66573 843,70050 76 23,64163 35,53205 840,035579 558,92667 77 28,95989 51,75827 1.498,91363 838,67494 78 15,94675 35,35665 563,82362 254,29877 79 29,55657 40,17118 1.187,32251 873,59107 80 27,62597 34,06391 941,04859 763,19411 81 21,14061 31,99603 676,41546 446,92531 82 28,11612 45,09487 1.267,89273 790,51604 83 29,45897 42,33661 1.247,19261 867,83068 84 29,29285 41,50928 1.215,92505 858,07089 85 27,71680 41,94250 1.162,51187 768,22084 86 23,22718 23,27884 540,70171 539,50175 87 15,72241 14,82477 233,08098 247,19402 88 29,71313 43,38035 1.288,96589 882,86998 89 38,58055 46,74921 1.803,61026 1.488,45910 90 36,27256 56,79541 2.060,11518 1.315,69880 91 38,16198 55,88744 2.132,77537 1.456,33670 92 35,94319 49,68207 1.785,73219 1.291,91310 93 44,36028 57,46872 2.549,32880 1.967,83460 94 41,41815 41,80003 1.731,27966 1.715,46310 95 22,10428 35,52095 785,16492 488,59906 Universitas Sumatera Utara 1 2 3 4 5 96 34,66952 39,24439 1.360,58442 1.201,97580 97 29,75051 38,82558 1.155,08053 885,09261 98 23,90947 20,76767 496,54397 571,66261 99 27,00098 34,18201 922,94786 729,05297 100 50,00000 65,00000 3.250,00000 2.500,00000 Jumlah 3.028,179 4.080,565 13.0493,451 98.938,252 Rata-rata 30,29179 40,80563 �̂ 1 = ∑ � � � � � �=1 − ∑ � � ∑ � � � �=1 � �=1 � �− 1 � [ ∑ � � � �=1 ] 2 + ∑ � � 2 � �=1 � �̂ 1 = 130.493,451 − � 4.080,565 �3.028,179 100 � − 1 100 3.028,179 2 + 98.938,252 �̂ 1 = 130.493,451 − 123.566,812 7.239,5927 �̂ 1 = 0,95677 dan �̂ = �� − �̂ 1 �� �̂ = 40,80563 − 0,9567730,28179 �̂ = 11,83277 Jadi, model penduga penaksir untuk persamaan regresi linier sederhana dengan metode kuadrat terkecil adalah: �� � = �̂ + �̂ 1 � � �� = 11,83277 + 0,95677� � 2. Model penaksir untuk persamaan regresi linier sederhana dengan metode kuadrat terkecildata kelompok 2 adalah: Tabel 3.8 Perkalian Variabel Bebasdan Variabel Terikat untuk Data Kelompok2 Data ke- X Y XY X 2 1 2 3 4 5 1 53,34214 55,31352 2.950,54150 2.845,38390 2 26,25136 33,75330 886,07003 689,13390 Universitas Sumatera Utara 1 2 3 4 5 3 10,88355 60,000 653,01300 118,45166 4 40,76054 54,02336 2.202,02130 1.661,42160 5 21,37247 27,99890 598,40565 456,78247 6 12,48756 15,29890 191,04593 155,93915 7 26,50885 34,85221 923,89201 702,71913 8 21,75967 18,75650 408,13525 473,48324 9 30,45736 37,20736 1.133,23800 927,65078 10 26,38167 38,39898 1.013,02920 695,99251 11 33,01517 31,34112 1.034,73240 1.090,00150 12 21,29077 28,52551 607,33007 453,29689 13 26,87104 30,61330 822,61121 722,05279 14 24,67059 31,52471 777,73320 608,63801 15 37,71788 48,91178 1.844,84860 1.422,63850 16 26,23789 24,41339 640,55584 688,42687 17 32,79418 46,12006 1.512,46950 1.075,45820 18 27,22830 31,31616 852,68580 741,38032 19 12,61360 19,00168 239,67959 159,10290 20 21,76610 27,67234 602,31892 473,76311 21 41,55421 40,02359 1.663,14870 1.726,75240 22 13,50086 24,14656 325,99933 182,27322 23 41,51401 44,53297 1.848,74220 1.723,41300 24 29,04005 34,38035 998,40708 843,32450 25 24,06255 35,49478 854,09492 579,00631 26 18,78519 25,17787 472,97107 352,88336 27 29,24101 33,21404 971,21208 855,03667 28 24,27260 31,75176 770,69777 589,15911 29 34,20891 44,09627 1.508,48530 1.170,24950 30 27,19714 33,80143 919,30222 739,68442 31 29,18364 46,05653 1.344,09720 851,68484 32 35,06222 36,68072 1.286,10750 1.229,35930 33 52,75262 56,86589 2.999,82470 2.782,83890 34 23,13152 31,78830 735,31170 535,06722 35 36,06689 48,89894 1.763,63270 1.300,82060 36 38,12793 45,79216 1.745,96030 1.453,73900 37 36,41086 41,71336 1.518,81930 1.325,75070 38 22,99420 17,04031 391,82830 528,73323 39 29,30558 41,17550 1.206,67190 858,81702 40 17,15792 30,09538 516,37412 294,39422 41 39,04430 48,14031 1.879,60470 1.524,45740 42 38,20033 45,15760 1.725,03520 1.459,26520 43 18,59265 28,92927 537,87179 345,68663 44 24,85160 38,79070 964,01096 617,60202 Universitas Sumatera Utara 1 2 3 4 5 45 31,20303 29,77027 928,92263 973,62908 46 20,60756 24,35796 501,95812 424,67153 47 23,61711 26,76816 632,18658 557,76788 48 23,42851 41,85236 980,53843 548,89508 49 14,92175 23,09555 344,62602 222,65862 50 39,23124 45,53324 1.786,32550 1.539,09020 51 31,29257 47,09295 1.473,6594 979,22494 52 49,46080 52,59996 2.601,63610 2.446,37070 53 19,24513 37,20865 716,08531 370,37503 54 33,46781 43,7146 1.463,03190 1.120,09430 55 22,75473 39,05459 888,67665 517,77774 56 23,80648 35,21389 838,31877 566,74849 57 22,24937 28,09292 625,04977 495,03447 58 27,66147 31,34901 867,15970 765,15692 59 33,24595 45,56611 1.514,88860 1.105,29320 60 26,75824 34,38471 920,07432 716,00341 61 42,57739 53,04641 2.258,57770 1.812,83410 62 34,76587 42,00166 1.460,22430 1.208,66570 63 38,44170 39,94315 1.535,48260 1.477,7643 64 24,22177 47,13367 1.141,66090 586,69414 65 32,08192 41,88997 1.343,91070 1.029,24960 66 17,85944 27,90407 498,35106 318,95960 67 20,70278 33,78207 699,38276 428,60510 68 28,63277 41,10157 1.176,85180 819,83552 69 26,94137 43,91270 1.183,06830 725,83742 70 33,89437 37,57062 1.273,43250 1.148,82830 71 14,76380 31,46075 464,48022 217,96979 72 41,50944 45,05601 1.870,24970 1.723,03360 73 19,03085 22,79725 433,85105 362,17325 74 32,97805 45,70902 1.507,39430 1.087,5518 75 16,53484 23,24133 384,29167 273,40093 76 28,75271 26,19224 753,09788 826,71833 77 19,86411 33,74571 670,3285 394,58287 78 37,08485 46,72589 1.732,8226 1.375,2861 79 26,63582 34,48091 918,42731 709,46691 80 29,1598 42,28288 1.232,9603 850,29394 81 34,38659 33,77437 1.161,3854 1.182,4376 82 30,62378 50,86911 1.557,8044 937,8159 83 33,21825 26,06448 865,81641 1.103,4521 84 31,46558 57,19596 1.799,7041 990,08272 85 26,98805 29,53414 797,06885 728,35484 86 18,38541 19,09274 351,02785 338,02330 Universitas Sumatera Utara 1 2 3 4 5 87 43,19519 63,27653 2.733,24170 1.865,82440 88 26,21121 30,97068 811,77900 687,02753 89 30,94748 44,23677 1.369,01660 957,74652 90 31,47820 53,20083 1.674,66640 990,87708 91 40,94829 46,22838 1.892,97310 1.676,76250 92 33,43278 43,09554 1.440,80370 1.117,75080 93 25,2288 40,35855 1.018,19780 636,49235 94 39,75549 38,53643 1.532,03470 1.580,49900 95 29,85806 55,72730 1.663,90910 891,50375 96 23,7398 34,06974 808,80881 563,57810 97 36,69636 53,22274 1.953,08080 1.346,62280 98 17,61479 30,88599 544,05023 310,28083 99 43,39995 51,29532 2.226,21430 1.883,55570 100 21,16273 32,37453 685,13344 447,86114 Jumlah 2.886,792 3.778,431 11.5351,270 90.994,808 Rata-rata 28,86792 37,78431 �̂ 1 = 115.351,27 − � 3.778,431 �2.886,792 100 � − 1 100 2.886,792 2 + 90.994,808 �̂ 1 = 115.351,27 − 109.075,4 7.659,1466 �̂ 1 = 0,81939 dan �̂ = 37,78431 − 0,8193928,86792 �̂ = 14,13014. Jadi, model penduga penaksir untuk persamaan regresi linier sederhana dengan metode kuadrat terkecil adalah: �� � = �̂ + �̂ 1 � � �� = 14,13014 + 0,81939� � 3. Model penaksir untuk persamaan regresi linier sederhana dengan metode kuadrat terkeciluntuk data kelompok 3 adalah: Tabel 3.9 Perkalian Variabel Bebasdan Variabel Terikat Universitas Sumatera Utara untuk Data Kelompok3 Data ke- X Y XY X 2 1 2 3 4 5 1 16,60849 36,78474 610,93895 275,84194 2 20,99639 40,84729 857,64557 440,84839 3 35,76885 42,97343 1.537,11010 1.279,41060 4 47,50563 59,98169 2.849,46780 2.256,78490 5 25,52563 43,70598 1.115,62270 651,55779 6 32,65760 43,52522 1.421,42910 1.066,51880 7 34,63220 49,00489 1.697,14720 1.199,38930 8 35,30503 43,83961 1.547,75860 1.246,44510 9 35,74264 37,17254 1.328,64470 1.277,53630 10 34,38473 45,17666 1.553,38740 1.182,30970 11 29,91268 23,16619 692,96274 894,76842 12 33,49929 44,06404 1.476,11400 1.122,20240 13 20,43011 36,55776 746,87900 417,38939 14 26,57563 44,49170 1.182,39490 706,26411 15 33,08429 46,09861 1.525,13970 1.094,57020 16 27,69186 52,26243 1.447,24380 766,83911 17 32,20885 39,98075 1.287,73390 1.037,41000 18 31,57274 23,02997 727,11929 996,83791 19 25,35646 34,97857 886,93258 642,95006 20 32,25274 39,92474 1.287,68210 1.040,23920 21 26,49884 42,13870 1.116,62660 702,18852 22 18,92887 39,16833 741,41230 358,30212 23 20,61227 31,18401 642,77325 424,86567 24 33,80334 39,58782 1.338,20050 1.142,66580 25 27,97932 24,24846 678,45551 782,84235 26 15,04196 20,75603 312,21142 226,26056 27 29,53431 36,99399 1.092,59210 872,27547 28 42,26966 45,44611 1.920,99170 1.786,72420 29 35,31827 42,19785 1.490,35520 1.247,38020 30 25,71962 27,28854 701,85078 661,49885 31 10,05847 14,91350 150,00701 101,17282 32 24,86370 43,03724 1.070,06500 618,20358 33 46,99963 55,72772 2.619,18240 2.208,96520 34 38,70424 57,32921 2.218,88340 1.498,01820 35 31,45907 41,66349 1.310,69470 989,67309 36 43,35575 48,17687 2.088,74420 1.879,72110 37 29,39431 40,21297 1.182,03260 864,02546 38 37,35673 43,39702 1.621,17060 1.395,52530 1 2 3 4 5 Universitas Sumatera Utara 39 31,62098 40,42059 1.278,13860 999,88638 40 31,03240 51,63043 1.602,21620 963,00985 41 40,75897 32,67099 1.331,6360 1.661,29360 42 29,48946 30,84335 909,55377 869,62825 43 37,73232 44,15409 1.666,03630 1.423,72800 44 30,80963 17,44293 537,41010 949,23330 45 11,19797 24,03819 269,17889 125,39453 46 40,49931 46,90160 1.899,48260 1.640,19410 47 27,67897 36,79854 1.018,54580 766,12538 48 24,97487 33,10301 826,74342 623,74413 49 31,43041 35,67424 1.121,25580 987,87067 50 41,36430 53,94065 2.231,21740 1.711,00530 51 18,42851 26,32006 485,03943 339,60998 52 35,68648 51,18505 1.826,61420 1.273,52490 53 26,08254 32,85181 856,85857 680,29889 54 21,35571 37,15159 793,39858 456,06635 55 33,08343 39,24751 1.298,4422 1.094,5133 56 39,45915 49,36376 1.947,85200 1.557,0245 57 32,26371 46,58488 1.503,00100 1.040,94700 58 29,77752 31,85549 948,57749 886,70070 59 40,52360 39,00853 1.580,76610 1.642,16220 60 35,20957 39,93557 1.406,11410 1.239,71380 61 19,00883 24,70060 469,52945 361,33562 62 15,60287 36,05882 562,62113 243,44955 63 27,28392 33,82839 922,97117 744,41229 64 22,25923 44,21626 984,21997 495,47332 65 39,57518 46,56289 1.842,73480 1.566,19490 66 33,32347 42,77791 1.425,50840 1.110,45370 67 19,08901 39,89865 761,62579 364,39030 68 17,27758 32,60186 563,28130 298,51477 69 13,33586 8,986635 119,84451 177,84516 70 47,58513 65,97605 3.139,47910 2.264,34460 71 48,24881 55,37938 2.671,98910 2.327,94770 72 28,35026 29,01599 822,61092 803,73724 73 27,93389 36,96822 1.032,66630 780,30221 74 14,04516 33,04512 464,12394 197,26652 75 33,79499 45,29251 1.530,65980 1.142,10130 76 29,74637 42,89407 1.275,94280 884,84653 77 18,15913 23,56968 428,00481 329,75400 78 27,49074 38,14234 1.048,56120 755,74079 79 37,79537 37,62058 1.421,88390 1.428,49000 80 29,23991 47,06033 1.376,03970 854,97234 1 2 3 4 5 Universitas Sumatera Utara 81 31,93475 50,37412 1.608,68490 1.019,82830 82 22,39107 30,01924 672,16286 501,36002 83 22,28542 32,68675 728,43784 496,63994 84 37,29705 56,30928 2.100,17000 1.391,06990 85 43,30303 52,26282 2.263,13830 1.875,15240 86 16,69417 19,44500 324,61817 278,69531 87 37,16748 37,36955 1.388,93200 1.381,42160 88 24,30172 39,76316 966,31316 590,57359 89 27,25944 25,22295 687,56349 743,07707 90 28,88071 40,26224 1.162,80200 834,09541 91 27,13596 50,27035 1.364,13420 736,36033 92 34,36808 35,02501 1.203,74240 1.181,16490 93 16,39683 27,57033 452,06600 268,85603 94 42,53627 50,37801 2.142,89280 1.809,33430 95 42,04388 49,79590 2.093,61280 1.767,68780 96 28,74595 38,29136 1.100,72160 826,32964 97 17,67922 30,00145 530,40229 312,55482 98 35,87051 49,82878 1.787,38380 1.286,69350 99 60,77202 10,77202 654,63741 3.693,23840 100 51,81691 67,62898 3.504,32470 2.684,99220 Jumlah 3.038,096 3.920,031 125.014,720 101.098,800 Rata-rata 30,38096 39,20031 �̂ 1 = 125.014,72 − � 3.920,031 �3.038,096 100 � − 1 100 3.038,096 2 + 101.098,8 �̂ 1 = 125.014,72 − 119.094,3 8.798,5109 �̂ 1 = 0,67289 dan �̂ = 39,20031 − 0,6728930,38096 �̂ = 18,75735 Jadi, model penduga penaksir untuk persamaan regresi linier sederhana dengan metode kuadrat terkecil adalah: �� � = �̂ + �̂ 1 � � �� = 18,75735 + 0,67289� � Universitas Sumatera Utara 4. Model penaksir untuk persamaan regresi linier sederhana dengan metode kuadrat terkeciluntuk data kelompok 4 adalah: Tabel 3.10 Perkalian Variabel Bebasdan Variabel Terikat untuk Data Kelompok4 Data ke- X Y XY X 2 1 2 3 4 5 1 27,01297 34,37026 928,44280 729,70055 2 27,48365 40,65417 1.117,32498 755,35102 3 30,13122 41,25211 1.242,97640 907,89042 4 26,94716 46,84614 1.262,37043 726,14943 5 23,57049 27,84918 656,41882 555,56800 6 35,11658 61,19475 2.148,95033 1.233,17420 7 35,66173 44,74047 1.595,52256 1.271,75900 8 37,11606 36,86673 1.368,34776 1.377,60190 9 29,16333 28,42095 828,84954 850,49982 10 45,31556 46,25168 2.095,92078 2.053,50000 11 27,24070 40,95848 1.115,73767 742,05574 12 26,08336 34,78232 907,23977 680,34167 13 30,53664 32,59427 995,31948 932,48638 14 31,01817 55,32270 1.716,00891 962,12687 15 28,68901 47,36818 1.358,94619 823,05929 16 34,29074 36,47278 1.250,67862 1.175,85480 17 14,65998 30,75306 450,83925 2.14,915010 18 17,48730 33,55697 586,82080 305,80566 19 30,12691 28,38285 855,08757 907,63071 20 29,94013 37,88557 1.134,29889 896,41138 21 18,34889 33,14828 608,23414 336,68176 22 17,55731 20,31404 356,65989 308,25913 23 35,22275 53,98391 1.901,46177 1.240,64210 24 33,70700 36,79642 1.240,29693 1.136,16180 25 36,80686 54,79573 2.016,85876 1.354,74490 26 24,09213 14,14140 340,69645 580,43073 27 21,79011 24,07100 524,50974 474,80889 28 16,80373 28,73012 482,77317 282,36534 29 42,04727 58,46106 2.458,12797 1.767,97290 30 42,48616 54,66238 2.322,39462 1.805,07380 31 25,04442 36,86439 923,24727 627,22297 32 29,71026 33,76228 1.003,08612 882,69955 33 31,39852 35,17709 1.104,50856 985,86706 34 36,52804 27,85017 1.017,31212 1.334,29770 Universitas Sumatera Utara 1 2 3 4 5 35 33,00556 48,61517 1.604,57091 1.089,367 36 30,04381 48,39684 1.454,02547 902,63052 37 29,15504 33,19374 967,76482 850,01636 38 28,84795 33,89881 977,91118 832,20422 39 15,69807 3,91317 61,429217 246,42940 40 28,86969 38,89128 1.122,77920 833,45900 41 21,69983 53,31343 1.156,89237 470,88262 42 22,96354 40,09691 920,76699 527,32417 43 27,90382 49,89352 1.392,21980 778,62317 44 27,49237 46,43434 1.276,59006 755,83041 45 28,38288 45,79419 1.299,77100 805,58788 46 34,40308 44,40288 1.527,59583 1.183,57190 47 36,03373 43,03847 1.550,83661 1.298,42970 48 34,79871 40,71565 1.416,85210 1.210,95020 49 37,461 51,72199 1.937,55747 1.403,32650 50 20,22499 29,06981 587,93662 409,05022 51 19,2204 29,20167 561,26778 369,42378 52 27,11574 49,24007 1.335,18094 735,26336 53 24,55412 27,50239 675,29698 602,90481 54 28,36736 20,3742 577,96227 804,70711 55 26,24908 38,44191 1.009,06477 689,01420 56 27,13237 40,10253 1.088,07668 736,16550 57 22,41054 45,68497 1.023,82485 502,23230 58 45,72712 52,19577 2.386,76224 2.090,96950 59 17,86739 26,37361 471,22758 319,24363 60 34,86972 50,28486 1.753,41899 1.215,89740 61 30,08584 44,50899 1.339,09035 905,15777 62 16,30457 16,23349 264,68007 265,83900 63 20,45595 36,60848 748,86124 418,44589 64 39,62797 63,69288 2.524,01954 1.570,37600 65 23,06165 36,29985 837,13443 531,83970 66 34,26105 57,32702 1.964,08390 1.173,81950 67 40,3357 34,11586 1.376,08709 1.626,96870 68 41,30349 54,87393 2.266,48482 1.705,97830 69 25,60622 31,52352 807,19819 655,67850 70 31,27615 43,14879 1.349,52803 978,19756 71 18,99707 44,31468 841,84908 360,88867 72 31,90844 37,95349 1.211,03666 1.018,14850 73 17,31506 34,54753 598,19256 299,81130 74 29,98044 59,08406 1.771,36612 898,82678 75 22,90638 38,58058 883,74143 524,70224 76 28,5982 36,99601 1.058,01929 817,85704 Universitas Sumatera Utara 1 2 3 4 5 77 27,18383 37,05706 1.007,35282 738,96061 78 21,99154 31,67718 696,62997 483,62783 79 35,02418 40,57255 1.421,02029 1.226,69320 80 24,70347 39,75115 981,99134 610,26143 81 23,04234 21,41075 493,35378 530,94943 82 25,97825 45,76960 1.189,01411 674,86947 83 34,28952 42,43533 1.455,08710 1.175,77120 84 26,71742 32,06980 856,82232 713,82053 85 31,26519 55,32701 1.729,80948 977,51211 86 23,71397 42,07665 997,80442 562,35237 87 35,96028 56,50225 2.031,83673 1.293,14170 88 35,90696 33,70689 1.210,31195 1.289,30980 89 26,92559 42,37279 1.140,91237 724,98740 90 30,38130 42,93243 1.304,34304 923,02339 91 38,12271 50,67338 1.931,80657 1.453,34100 92 25,78838 36,01918 928,87631 665,04054 93 31,62336 48,91462 1.546,84464 1.000,03690 94 36,33426 43,50603 1.580,75941 1.320,17840 95 27,74841 45,75707 1.269,68594 769,97426 96 28,15924 36,79820 1.036,20935 792,94280 97 34,27644 40,85242 1.400,27552 1.174,87430 98 18,07238 42,77081 772,97033 326,61092 99 30,36756 49,26409 1.496,03021 922,18870 100 60,08562 60,40087 3.629,22372 3.610,28170 Jumlah 2.915,319 4.018,501 122.004,196 90.595,901 Rata-rata 29,15319 40,18501 �̂ 1 = 122.004,196 − � 4.018,501 �2.915,319 100 � − 1 100 2.915,319 2 + 90.595,901 �̂ 1 = 122.004,196 − 4.852,04592 46,55 �̂ 1 = 0,86566 dan �̂ = 40,18501 − 0,8656629,15319 �̂ = 14,94827 Jadi, model penduga penaksir untuk persamaan regresi linier sederhana dengan metode kuadrat terkecil adalah: �� � = �̂ + �̂ 1 � � Universitas Sumatera Utara �� = 14,94827 + 0,86566� �

3.4 Rata-rata Kuadrat Sisa untuk MKT