Peramalan Penjualan Produksi Teh Botol Sosro Pada PT. Sinar Sosro Sumatera Bagian Utara Tahun 2014 Dengan Metode Arima Box-Jenkins

  

Lampiran 1 Data Penjualan Produksi Teh Botol Sosro Periode Juni 2007 sampai dengan

Mei 2013 (dalam krat)

  BULAN

  Penjualan Produksi Teh Botol Sosro Juni 2007 sampai dengan Mei 2013 (dalam krat)

  2007-2008 2008-2009 2009-2010 2010-2011 2011-2012 2012-2013 Juni 12766 22779 28644 34992 78348 99811 Juli 12367 24080 31256 47012 71745 141559 Agustus 16852 31410 41432 72234 114989 171002 September 14112 24173 28231 40512 83261 144371 Oktober 17211 15453 22413 49631 86541 161981 November 22770 35398 43411 48711 132131 112081 Desember 12260 23921 22867 49723 97130 92340 Januari 15952 23433 29655 45978 81741 86114 Februari 21433 48571 35403 54342 108121 103450 Maret 17568 29510 34609 56874 101352 110721 April 14455 28342 31323 63400 98642 116163 Mei 19624 29201 35897 70659 126433 104230 Jumlah 197370 336271 385141 634068 1180434 1443823

  ∑ = 4177107

  Lampiran 2 Pengujian Sampel

  t _t

  Y ² _t Y

  t _t

  Y ² _t Y

  1 12766 162970756 37 34992 1224440064 2 12367 152942689 38 47012 2210128144 3 16852 283989904 39 72234 5217750756 4 14112 199148544 40 40512 1641222144 5 17211 296218521 41 49631 2463236161 6 22770 518472900 42 48711 2372761521 7 12260 150307600 43 49723 2472376729 8 15952 254466304 44 45978 2113976484 9 21433 459373489 45 54342 2953052964 10 17568 308634624 46 56874 3234651876 11 14455 208947025 47 63400 4019560000 12 19624 385101376 48 70659 4992694281 13 22779 518882841 49 78348 6138409104 14 24080 579846400 50 71745 5147345025 15 31410 986588100 51 114989 13222470121 16 24173 584333929 52 83261 6932394121 17 15453 238795209 53 86541 7489344681 18 35398 1253018404 54 132131 17458601161 19 23921 572214241 55 97130 9434236900 20 23433 549105489 56 81741 6681591081 21 48571 2359142041 57 108121 11690150641 22 29510 870840100 58 101352 10272227904 23 28342 803268964 59 98642 9730244164 24 29201 852698401 60 126433 15985303489 25 28644 820478736 61 99811 9962235721 26 31256 976937536 62 141559 20038950481 27 41432 1716610624 63 171002 29241684004

  28 28231 796989361 64 144371 20842985641 29 22413 502342569 65 161981 26237844361 30 43411 1884514921 66 112081 12562150561 31 22867 522899689 67 92340 8526675600 32 29655 879419025 68 86114 7415620996 33 35403 1253372409 69 103450 10701902500 34 34609 1197782881 70 110721 12259139841 35 31323 981130329 71 116163 13493842569 36 35897 1288594609 72 104230 10863892900

  ∑ 4177107 ¹¹

  , 10 63615 3 × Lampiran 3 Nilai Koefisien Autokorelasi Data Penjualan Produksi Teh Botol Sosro lag Koefisien Autokorelasi lag Koefisien

  Autokorelasi lag Koefisien Autokorelasi 1 0,895434

  25 -0,044271 49 -0,351672 2 0,846844 26 -0,066887 50 -0,353153 3 0,824277 27 -0,084648 51 -0,341755 4 0,744387 28 -0,121061 52 -0,353305 5 0,73568 29 -0,145311 53 -0,348559 6 0,73466 30 -0,139984 54 -0,323387 7 0,673896 31 -0,174709 55 -0,318889 8 0,63796 32 -0,187778 56 -0,308696 9 0,609394 33 -0,185797 57 -0,293347 10 0,517599 34 -0,23763 58 -0,288978 11 0,487841 35 -0,246056 59 -0,276479 12 0,45885 36 -0,247178 60 -0,256833 13 0,380986 37 -0,273125 61 -0,247058 14 0,34325 38 -0,279018 62 -0,217606 15 0,313467 39 -0,271284 63 -0,178777 16 0,257663 40 -0,298135 64 -0,149531 17 0,213744 41 -0,298264 65 -0,111143 18 0,18831 42 -0,295305 66 -0,090878 19 0,124724 43 -0,320616 67 -0,082072 20 0,092083 44 -0,319702 68 -0,073255 21 0,085977 45 -0,330435 69 -0,057237 22 0,026679 46 -0,354063 70 -0,03909 23 0,007312 47 -0,35514 71 -0,017243 24 0,005257 48 -0,350936 72 - Lampiran 4 Nilai Koefisien Autokorelasi Parsial Data Penjualan Produksi Teh Botol Sosro lag Koefisien Autokorelasi lag Koefisien

  Autokorelasi lag Koefisien Autokorelasi 1 0,895434

  25 -0,017747 49 0,017249 2 0,227255 26 -0,081642 50 -0,041826 3 0,185241 27 -0,123677 51 0,045099 4 -0,226107 28 0,120114 52 -0,05247 5 0,242663 29 -0,120285 53 0,097745 6 0,134543 30 0,077479 54 0,021304 7 -0,165402 31 -0,058498 55 0,034229 8 -0,124603 32 -0,051423 56 -0,109631 9 0,045305 33 -0,000585 57 0,006702 10 -0,237823 34 -0,079722 58 0,086623 11 0,057546 35 0,046923 59 -0,020059 12 -0,022039 36 -0,054035 60 -0,103568 13 -0,117152 37 -0,007588 61 0,010623 14 -0,108744 38 0,020933 62 0,157263 15 0,116952 39 -0,007122 63 0,040919 16 0,050332 40 -0,005034 64 0,068601 17 -0,170096 41 0,014887 65 -0,015327 18 0,038561 42 -0,082882 66 -0,078531 19 -0,005533 43 0,07665 67 -0,065493 20 0,001133 44 -0,120801 68 0,015673 21 0,101688 45 -0,069723 69 -0,045451 22 -0,110861 46 -0,054349 70 -0,061184 23 -0,000277 47 0,030359 71 -0,027106 24 0,086892 48 -0,003549 72 -

  Lampiran 5 Hasil Transformasi Logaritma Natural Data Aktual

  Bulan 2007-2008 2008-2009 2009-2010 2010-2011 2011-2012 2012-2013 Juni 9,4545 10,0336 10,2627 10,4628 11,2690 11,5110

  Juli 9,4228 10,0891 10,3500 10,7582 11,1808 11,8605 Agustus 9,7322 10,3548 10,6318 11,1877 11,6526 12,0494

  September 9,5548 10,0930 10,2482 10,6093 11,3297 11,8801 Oktober 9,7533 9,6456 10,0174 10,8124 11,3684 11,9952

  November 10,0332 10,4744 10,6785 10,7937 11,7916 11,6270 Desember 9,4141 10,0825 10,0374 10,8142 11,4838 11,4332

  Januari 9,6773 10,0620 10,2974 10,7360 11,3113 11,3634 Februari 9,9727 10,7908 10,4746 10,9030 11,5910 11,5468

  Maret 9,7738 10,2925 10,4518 10,9486 11,5263 11,6147 April 9,5788 10,2521 10,3521 11,0572 11,4993 11,6627

  Mei 9,8845 10,2820 10,4884 11,1656 11,7475 11,5543

  Lampiran 6 Hasil Pembedaan Pertama Dari Logaritma Data Penjualan Produksi Teh Botol Sosro

  t _t

  Y ₁ −

  − = _{t t t} Z Z W

  t _t

  Y ₁ −

  − = _{t t t}

Z Z W

  1 9,4545 * 37 10,4628 -0,0256 2 9,4228 -0,0317 38 10,7582 0,2954 3 9,7322 0,3094 39 11,1877 0,4295 4 9,5548 -0,1774 40 10,6093 -0,5784 5 9,7533 0,1985 41 10,8124 0,2031 6 10,0332 0,2799 42 10,7937 -0,0187 7 9,4141 -0,6191 43 10,8142 0,0205 8 9,6773 0,2632 44 10,7360 -0,0782 9 9,9727 0,2954 45 10,9030 0,1670 10 9,7738 -0,1989 46 10,9486 0,0456 11 9,5788 -0,1950 47 11,0572 0,1086 12 9,8845 0,3057 48 11,1656 0,1084 13 10,0336 0,1491 49 11,2690 0,1034 14 10,0891 0,0555 50 11,1808 -0,0882 15 10,3548 0,2657 51 11,6526 0,4718 16 10,0930 -0,2618 52 11,3297 -0,3229 17 9,6456 -0,4474 53 11,3684 0,0387 18 10,4744 0,8288 54 11,7916 0,4232 19 10,0825 -0,3919 55 11,4838 -0,3078 20 10,0620 -0,0205 56 11,3113 -0,1725 21 10,7908 0,7288 57 11,5910 0,2797 22 10,2925 -0,4983 58 11,5263 -0,0647 23 10,2521 -0,0404 59 11,4993 -0,0270 24 10,2820 0,0299 60 11,7475 0,2482 25 10,2627 -0,0193 61 11,5110 -0,2365 26 10,3500 0,0873 62 11,8605 0,3495

  27 10,6318 0,2818 63 12,0494 0,1889 28 10,2482 -0,3836 64 11,8801 -0,1693 29 10,0174 -0,2308 65 11,9952 0,1151 30 10,6785 0,6611 66 11,6270 -0,3682 31 10,0374 -0,6411 67 11,4332 -0,1938 32 10,2974 0,2600 68 11,3634 -0,0698 33 10,4746 0,1772 69 11,5468 0,1834 34 10,4518 -0,0228 70 11,6147 0,0679 35 10,3521 -0,0997 71 11,6627 0,0480 36 10,4884 0,1363 72 11,5543 -0,1084

  Lampiran 7 Nilai Koefisien Autokorelasi Data Pembedaan Pertama

  lag Koefisien Autokorelasi lag Koefisien

  Autokorelasi lag Koefisien Autokorelasi 1 -0,449381

  25 -0,138221 49 -0,00785 2 -0,211743 26 -0,092475 50 -0,011408 3 0,429457 27 0,180007 51 0,057576 4 -0,296767 28 -0,107304 52 -0,044373 5 -0,102648 29 -0,119086 53 -0,044299 6 0,33741 30 0,224698 54 0,037478 7 -0,1888 31 -0,143719 55 -0,034735 8 -0,190502 32 -0,112813 56 0,004937 9 0,451153 33 0,321638 57 0,056258 10 -0,31416 34 -0,239686 58 -0,06313 11 -0,15863 35 -0,02783 59 0,03014 12 0,451863 36 0,190891 60 0,015091 13 -0,181101 37 -0,110752 61 -0,011223 14 -0,208966 38 -0,047734 62 0,000233 15 0,298115 39 0,163246 63 -0,017248 16 -0,135225 40 -0,129208 64 -0,004265 17 -0,116255 41 -0,018875 65 0,008903 18 0,26335 42 0,128659 66 0,001593 19 -0,189364 43 -0,109853 67 -0,004208 20 -0,11691 44 0,027475 68 0,005112 21 0,30819 45 0,098037 69 -0,006476 22 -0,209397 46 -0,08875 70 0,001378 23 -0,170357 47 -0,062249 71 - 24 0,357861 48 0,087225 72 -

  Lampiran 8 Nilai Koefisien Autokorelasi Parsial Data Pembedaan Pertama

  lag Koefisien Autokorelasi lag Koefisien

  Autokorelasi lag Koefisien Autokorelasi 1 -0,449381

  25 -0,023859 49 0,027676 2 -0,518367 26 0,054996 50 0,053842 3 0,089159 27 -0,013211 51 0,006997 4 -0,138864 28 0,026717 52 -0,056477 5 -0,222261 29 -0,125957 53 -0,01706 6 0,01182 30 -0,049612 54 -0,035276 7 0,038436 31 -0,034643 55 -0,079087 8 -0,228194 32 -0,063627 56 -0,077343 9 0,183049 33 0,006482 57 -0,02708 10 -0,054679 34 -0,084342 58 -0,061603 11 -0,198973 35 0,082027 59 0,035012 12 0,049324 36 0,003408 60 0,069829 13 0,257153 37 -0,042985 61 0,017353 14 -0,033248 38 -0,044606 62 0,001516 15 -0,101506 39 0,067206 63 -0,017906 16 0,025022 40 -0,004645 64 0,029337 17 0,116501 41 0,031088 65 -0,001369 18 -0,049189 42 -0,121118 66 0,012647 19 -0,079077 43 0,044875 67 0,100387 20 -0,071547 44 0,132583 68 -0,013341 21 -0,007973 45 0,052751 69 -0,050522 22 -0,134071 46 0,005062 70 -0,005755 23 -0,199217 47 0,000759 71 - 24 -0,046431 48 -0,094717 72 -

  Lampiran 9 Hasil Pembedaan Musiman Pertama

  t _t

  Y ₃ −

  − = _{t t t} Z Z W

  t _t

  Y ₃ −

  − = _{t t t}

Z Z W

  1 9,4643 * 37 10,4628 0,0110 2 9,4228 * 38 10,7240 0,4061 3 9,5556 * 39 11,2019 0,6993 4 9,7507 0,1003 40 10,6158 0,1465 5 10,0376 0,3305 41 10,8124 0,0542 6 9,6721 0,3010 42 10,7795 -0,3940 7 9,9785 -0,1407 43 10,7580 0,2049 8 9,6001 -0,0760 44 10,8020 -0,0764 9 9,9091 -0,0605 45 10,8791 0,1093 10 9,7456 0,3597 46 10,9326 0,1344 11 9,8240 -0,0985 47 11,0363 0,3212 12 9,8968 -0,0882 48 11,1687 0,2626 13 10,0336 0,2598 49 11,2528 0,3204 14 10,0891 0,5103 50 11,1737 0,1236 15 10,3597 0,4703 51 11,6293 0,4870 16 10,1078 0,0594 52 11,3226 0,0607 17 9,8170 -0,4435 53 11,3658 0,1876 18 10,4637 0,1196 54 11,7124 0,1390 19 10,0819 -0,0105 55 11,4186 0,1541 20 10,0332 0,4164 56 11,3595 -0,0571 21 10,6186 0,3164 57 11,5976 -0,2006 22 10,2716 0,2100 58 11,5434 0,0425 23 10,1612 0,1901 59 11,4826 0,1880 24 10,3537 -0,5088 60 11,7774 0,1565 25 10,2626 -0,0298 61 11,5085 -0,0153 26 10,3499 0,0979 62 11,8550 0,3612

  27 10,6049 0,3498 63 12,0377 0,3019 28 10,2026 -0,0145 64 11,8690 0,3691 29 10,1536 -0,3326 65 11,9851 0,1347 30 10,6227 0,0467 66 11,7041 -0,4224 31 10,0374 -0,2108 67 11,5094 -0,4469 32 10,2974 0,2800 68 11,3987 -0,6318 33 10,4596 -0,2039 69 11,5473 -0,0802 34 10,4639 0,4144 70 11,7245 0,1815 35 10,3605 0,0547 71 11,8510 0,2993 36 10,4650 0,0138 72 12,0998 0,0075

  Lampiran 10

Nilai Koefisien Autokorelasi Data Pembedaan Musiman Pertama

  lag Koefisien Autokorelasi lag Koefisien

  Autokorelasi lag Koefisien Autokorelasi 1 0,269109

  25 0,183801 49 0,149156 2 0,028755 26 0,103338 50 0,121429 3 -0,36483 27 -0,148325 51 0,016975 4 -0,133163 28 -0,073566 52 -0,097966 5 -0,000562 29 -0,129197 53 -0,138866 6 -0,106168 30 -0,079599 54 -0,092316 7 0,055402 31 -0,03443 55 -0,013253 8 -0,032925 32 -0,006355 56 0,02428 9 0,009462 33 0,118711 57 0,044287 10 -0,122565 34 -0,049974 58 0,019225 11 0,08655 35 0,049273 59 0,059739 12 0,192966 36 -0,006116 60 0,037278 13 0,112067 37 0,118265 61 0,003672 14 -0,070938 38 0,030185 62 -0,067331 15 -0,126315 39 0,037623 63 -0,055006 16 0,012193 40 -0,032942 64 -0,013535 17 -0,007837 41 -0,000062 65 0,017764 18 -0,104973 42 0,029928 66 0,007189 19 -0,108458 43 0,069169 67 -0,003781 20 -0,076499 44 0,106789 68 -0,000178 21 -0,083654 45 -0,020776 69 - 22 -0,13898 46 -0,10927 70 - 23 -0,047297 47 -0,120712 71 - 24 0,196856 48 0,007282 72 -

  Lampiran 11 Nilai Koefisien Autokorelasi Parsial Data Pembedaan Musiman Pertama

  lag Koefisien Autokorelasi lag Koefisien

  Autokorelasi lag Koefisien Autokorelasi 1 0,269109

  25 -0,01823 49 -0,00852 2 -0,04707 26 0,040168 50 -0,07728 3 -0,38925 27 -0,15123 51 -0,00131 4 0,083923 28 -0,01687 52 -0,05573 5 0,06289 29 -0,04994 53 -0,07214 6 -0,34135 30 -0,10487 54 -0,07445 7 0,198027 31 0,020144 55 -0,02406 8 -0,01441 32 -0,08172 56 -0,06775 9 -0,26306 33 0,043797 57 0,023484 10 0,027136 34 0,00114 58 0,071231 11 0,289957 35 -0,05792 59 0,026261 12 -0,06591 36 -0,0675 60 0,012867 13 -0,124 37 0,055242 61 -0,03183 14 0,119336 38 -0,03347 62 0,029833 15 0,0435 39 0,049827 63 0,008452 16 -0,09928 40 -0,13266 64 0,028612 17 -0,00119 41 0,043753 65 0,065808 18 -0,08718 42 0,149912 66 -0,02005 19 -0,05448 43 0,035799 67 -0,04267 20 -0,10535 44 -0,0143 68 0,004434 21 -0,18948 45 0,029165 69 - 22 -0,06951 46 -0,11846 70 - 23 -0,02578 47 0,01299 71 - 24 0,062995 48 0,05259 72 -

  Lampiran 12 Nilai Residu Model ARIMA (2,1,2)(1,1,1) ³

  t _t

  e

  t _t

  e

  T _t

  e

  1 * 25 0,062078 49 0,272007 2 * 26 0,079210 50 0,115539 3 * 27 -0,009954 51 0,217020 4 * 28 -0,156392 52 0,041409 5 0,253311 29 -0,216233 53 0,050677 6 0,007356 30 0,139823 54 0,172414 7 -0,241320 31 -0,308531 55 -0,009139 8 0,008709 32 0,138295 56 -0,190203 9 0,069041 33 -0,168506 57 -0,088515 10 -0,001212 34 0,281919 58 0,070064 11 -0,184719 35 -0,080733 59 -0,007017 12 -0,103072 36 -0,062461 60 -0,044326 13 0,373989 37 0,046442 61 -0,036341 14 0,143224 38 0,513148 62 0,343866 15 0,123398 39 0,149061 63 0,045692 16 0,024218 40 0,017436 64 0,133404 17 -0,387367 41 0,054823 65 0,128447 18 0,285716 42 -0,139245 66 -0,495458 19 -0,062761 43 0,053670 67 -0,282024 20 -0,011171 44 0,020363 68 -0,270165 21 0,341076 45 -0,219659 69 -0,232337 22 0,003032 46 0,286820 70 0,101621 23 -0,056387 47 0,132175 71 0,081603 24 -0,308945 48 0,001673 72 -0,255659

  

Nilai-nilai Koefisien Autokorelasi Residu dan Koefisien Autokorelasi Parsial

Lampiran 13 ₃ Residu ARIMA (2,1,2)(1,1,1) Koefisien Autokorelasi Residu

  Lag Koefisien Autokorelasi 1 0,035992 2 -0,0001 3 0,006744 4 -0,08886 5 0,057818 6 -0,09751 7 -0,08658 8 0,09103 9 0,01763

  10 -0,1431 11 0,062837 12 0,155647

  Koefisien Autokorelasi Parsial Residu

  Lag Koefisien Autokorelasi Parsial 1 0,035992 2 -0,0014 3 0,006807 4 -0,08947 5 0,064915 6 -0,104 7 -0,07759 8 0,090652 9 0,022341

  10 -0,1723 11 0,080462 12 0,181791

  Lampiran 14 Luas Area di Bawah Kurva Normal

  Nilai di dalam tabel merupakan proporsi luas di bawah keseluruhan kurva yang terletak di antara z = 0 dan suatu nilai positif z. Luas area untuk nilai z yang negative didapat secara simetris. z 0,00 0,01 0,02 0,03 0,04 0,05 0,06 0,07 0,08 0,09

  0,0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1,1 1,2 1,3 1,4 1,5 1,6 1,7 1,8 1,9 2,0 2,1 2,2 2,3 2,4

  0,0000 .0398 .0793 .1179 .1554 .1915 .2257 .2580 .2881 .3159 .3413 .3643 .3849 .4032 .4192 .4332 .4452 .4554 .4641 .4713 .4772 .4821 .4861 .4893 .4918

  0,0040 .0438 .0832 .1217 .1591 .1950 .2291 .2611 .2910 .3186 .3438 .3665 .3869 .4049 .4207 .4345 .4463 .4564 .4649 .4719 .4778 .4826 .4864 .4896 .4920

  0,0080 .0478 .0871 .1255 .1628 .1985 .2324 .2642 .2939 .3212 .3461 .3686 .3888 .4066 .4222 .4357 .4474 .4563 .4656 .4726 .4783 .4830 .4868 .4898 .4922

  0,0120 .0517 .0910 .1293 .1664 .2019 .2357 .2673 .2967 .3238 .3485 .3708 .3907 .4082 .4236 .4370 .4484 .4582 .4664 .4732 .4788 .4834 .4871 .4901 .4925

  0,0160 .0557 .0948 .1331 .1700 .2054 .2389 .2704 .2995 .3264 .3508 .3729 .3925 .4099 .4251 .4382 .4495 .4591 .4671 .4738 .4793 .4838 .4875 .4904 .4927

  0,0199 .0596 .0987 .1368 .1736 .2088 .2422 .2734 .3023 .3289 .3531 .3749 .3944 .4115 .4265 .4394 .4505 .4599 .4678 .4744 .4798 .4842 .4878 .4906 .4929

  0,0239 .0636 .1026 .1406 .1772 .2123 .2454 .2764 .3051 .3315 .3554 .3770 .3962 .4131 .4279 .4406 .4515 .4608 .4686 .4750 .4803 .4846 .4881 .4909 .4931

  0,0279 .0675 .1064 .1443 .1808 .2157 .2486 .2794 .3078 .3340 .3577 .3790 .3980 .4147 .4292 .4418 .4525 .4616 .4693 .4756 .4808 .4850 .4884 .4911 .4932

  0,0319 .0714 .1103 .1480 .1844 .2190 .2517 .2823 .3106 .3365 .3599 .3810 .3997 .4162 .4306 .4429 .4535 .4625 .4699 .4761 .4812 .4854 .4887 .4913 .4934

  0,0359 .0753 .1141 .1517 .1879 .2224 .2549 .2852 .3133 .3389 .3621 .3830 .4015 .4177 .4319 .4441 .4545 .4633 .4706 .4767 .4817 .4857 .4890 .4916 .4936

  2,5 2,6 2,7 2,8 2,9 3,0

  .4938 .4953 .4965 .4974 .4981

  4987 .4940 .4955 .4966 .4975 .4982 .4987

  .4941 .4956 .4967 .4976 .4982 .4987

  .4943 .4957 .4968 .4977 .4983 .4988

  .4945 .4959 .4969 .4977 .4984 .4988

  .4946 .4960 .4970 .4978 .4984 .4989

  .4948 .4961 .4971 .4979 .4985 .4989

  .4949 .4962 .4972 .4979 .4985 .4989

  .4951 .4963 .4973 .4980 .4986 .4990

  .4952 .4964 .4974 .4981 .4986 .4990 Sumber: Donald J. Koosis, Business Statistics. New York: John Wiley & Sons Inc., 1972.

  Lampiran 15 Nilai-nilai Kritis Dari Statistik Chi-Kuadrat

  12

  6,63490 9,21034 11,3449 13,2767 15,0863 16,8119 18,4753 20,0902 21,6660 23,2093 24,7250 26,2170 27,6883 29,1413 30,5779 31,9999 33,4087 34,8053 36,1908 37,5662 38,9321 40,2894

  5,02389 7,37776 9,34840 11,1433 12,8325 14,4494 16,0128 17,5346 19,0228 20,4831 21,9200 23,3367 24,7356 26,1190 27,4884 28,8454 30,1910 31,5246 32,8523 34,1696 35,4789 36,7807

  22 3,84146 5,99147 7,81473 9,48773 11,0705 12,5916 14,0671 15,5073 16,9190 18,3070 19,6751 21,0261 22,3621 23,6848 24,9958 26,2962 27,5871 28,8693 30,1435 31,4104 32,6705 33,9244

  21

  20

  19

  18

  17

  16

  15

  14

  13

  11

  Kolom pertama merupakan angka derajat bebas. Judul pada kolom lainnya merupakan probabilitas (P) untuk yang melebihi ² χ nilai di dalam tabel.

  10

  9

  8

  7

  6

  5

  4

  3

  2

  1

  0,050 0,025 0,010 0,005

  df P

  7,87944 10,5966 12,8381 14,8602 16,7496 18,5476 20,2777 21,9550 23,5893 25,1882 26,7569 28,2995 29,8194 31,3193 32,8013 34,2672 35,7185 37,1564 38,5822 39,9968 41,4010 42,7956

  23

  60

  41,6384 42,9798 44,3141 45,6417 46,9630 48,2782 49,5879 50,8922 63,6907 76,1539 88,3794 100,425 112,329 124,116 135,807

  38,0757 39,3641 40,6465 41,9232 43,1944 44,4607 45,7222 46,9792 59,3417 71,4202 83,2976 95,0231 106,629 118,136 129,561

  35,1725 36,4151 37,6525 38,8852 40,1133 41,3372 42,5569 43,7729 55,7585 67,5048 79,0819 90,5312 101,879 113,145 124,342

  90 100

  80

  70

  50

  24

  40

  30

  29

  28

  27

  26

  25

  44,1813 45,5585 46,9278 48,2899 49,6449 50,9933 52,3356 53,6720 66,7659 79,4900 91,9517 104,215 116,321 128,299 140,169 Sumber: Donald J. Koosis, Business Statistics. New York: John Wiley & Sons Inc., 1972.

  Lampiran 16 Nilai-nilai Kritis Untuk Statistik – t

  13

  31,821 6,965 4,541 3,747 3,365 3,143 2,998 2,896 2,821 2,764 2,718 2,681 2,650 2,624 2,602 2,583 2,567 2,552 2,539 2,528 2,518 2,508 2,500

  12,706 4,303 3,182 2,776 2,571 2,447 2,365 2,306 2,262 2,228 2,201 2,179 2,160 2,145 2,131 2,120 2,110 2,101 2,093 2,086 2,080 2,074 2,069

  6,314 2,920 2,353 2,132 2,015 1,943 1,895 1,860 1,833 1,812 1,796 1,782 1,771 1,761 1,753 1,746 1,740 1,734 1,729 1,725 1,721 1,717 1,714

  23 3,078 1,886 1,638 1,533 1,476 1,440 1,415 1,397 1,383 1,372 1,363 1,356 1,350 1,345 1,341 1,337 1,333 1,330 1,328 1,325 1,323 1,321 1,319

  22

  21

  20

  19

  18

  17

  16

  15

  14

  12

  Kolom pertama merupakan angka derajat bebas (k). Judul dari kolom lainnya merupakan probabilitas (P) untuk t yang melebihi nilai di dalam tabel. Gunakan sifat simetris untuk nilai t negatif.

  11

  10

  9

  8

  7

  6

  5

  4

  3

  2

  1

  0,10 0,005 0,025 0,01 0,005

  df P

  63,657 9,925 5,841 4,604 4,032 3,707 3,499 3,355 3,250 3,169 3,106 3,055 3,012 2,977 2,947 2,921 2,898 2,878 2,861 2,845 2,831 2,819 2,807

  24

  25

  26

  27

  28

  29

  30

  40

  60 120

  ∞ 1,318 1,316 1,315 1,314 1,313 1,311 1,310 1,303 1,296 1,289 1,282

  1,711 1,708 1,706 1,703 1,701 1,699 1,697 1,684 1,671 1,658 1,645

  2,064 2,060 2,056 2,052 2,048 2,045 2,042 2,021 2,000 1,980 1,960

  2,492 2,485 2,479 2,473 2,467 2,462 2,457 2,423 2,390 2,358 2,326

  2,797 2,787 2,779 2,771 2,763 2,756 2,750 2,704 2,660 2,617 2,576 Sumber: Donald J. Koosis, Business Statistics. New York: John Wiley & Sons, Inc. 1972.