Clustering Cereals Data Set Based on Fiber
Clustering data based on fiber in the cereals.
cereals <- read.csv("~/1 UW Tacoma/560 data mining/data/Data sets/cereals.CSV")length(which(is.na(cereals)))## [1] 4cereals <- cereals[complete.cases(cereals),]names(cereals)## [1] "Name" "Manuf" "Type" "Calories"
## [5] "Protein" "Fat" "Sodium" "Fiber"
## [9] "Carbo" "Sugars" "Potass" "Vitamins"
## [13] "Shelf" "Weight" "Cups" "Rating"
## [17] "Cold" "Nabisco" "Quaker" "Kelloggs"
## [21] "GeneralMills" "Ralston" "AHFP"set.seed(2222)
cereals_k <- cereals[, -c(1:3,16)]cereals_k[,c(3:14)] <- scale(cereals_k[,c(3:14)])
dist_cereals_k <- dist(cereals_k)
km1 <- kmeans(cereals_k,5)
km1## K-means clustering with 5 clusters of sizes 28, 12, 23, 5, 6
##
## Cluster means:
## Calories Protein Fat Sodium Fiber Carbo
## 1 110.00000 2.107143 -0.1773608 0.366241205 -0.55882315 0.1428651
## 2 121.66667 2.416667 0.9932203 0.172790124 0.15102431 -0.4551759
## 3 96.08696 2.739130 -0.4318349 -0.388396234 0.09794861 0.2202720
## 4 58.00000 3.000000 -0.5959322 -0.680983567 1.90820382 -1.5750879
## 5 146.66667 3.333333 0.9932203 0.001632663 0.34015322 0.7118453
## Sugars Potass Vitamins Shelf Weight Cups
## 1 0.1882180 -0.63407056 0.05844928 -0.3886212 -0.2008324 0.37190662
## 2 0.6442961 0.38544481 -0.27528889 0.4412108 0.7877682 -0.47707951
## 3 -0.5434543 0.03937481 -0.03557782 -0.2076009 -0.2490108 -0.05852625
## 4 -1.1259424 1.41772511 -0.63038630 0.9419715 -1.5044816 -0.80445179
## 5 0.8545836 0.85573196 0.93951804 0.9419715 1.5699576 0.11332191
## Cold Nabisco Quaker Kelloggs GeneralMills Ralston
## 1 0.1162476 -0.2673659 0.00000000 0.3571429 0.4642857 0.07142857
## 2 0.1162476 -0.2673659 0.25000000 0.2500000 0.2500000 0.00000000
## 3 -0.2577665 0.4208107 0.08695652 0.2173913 0.2173913 0.13043478
## 4 0.1162476 0.5240372 0.40000000 0.4000000 0.0000000 0.00000000
## 5 0.1162476 -0.2673659 0.00000000 0.5000000 0.1666667 0.33333333
## AHFP
## 1 0.00000000
## 2 0.00000000
## 3 0.04347826
## 4 0.00000000
## 5 0.00000000
##
## Clustering vector:
## 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 25 26 27
## 4 2 4 4 1 1 2 3 3 2 1 2 1 1 1 3 1 1 1 1 3 3 1 1 3
## 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
## 2 2 1 3 1 3 1 2 2 1 1 1 5 1 3 1 3 5 5 5 3 2 5 3 2
## 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77
## 2 3 4 4 3 2 3 3 1 1 3 3 3 1 1 3 1 5 3 1 1 3 3 1
##
## Within cluster sum of squares by cluster:
## [1] 238.1095 262.6502 1041.4689 582.0154 378.1725
## (between_SS / total_SS = 91.6 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss"
## [5] "tot.withinss" "betweenss" "size" "iter"
## [9] "ifault"library(factoextra)## Loading required package: ggplot2## Welcome! Related Books: `Practical Guide To Cluster Analysis in R` at https://goo.gl/13EFCZget_dist(cereals_k)## 1 2 3 4 6 7
## 2 50.6023362
## 3 4.4643388 50.5230443
## 4 20.5885902 70.5064299 20.2303498
## 6 40.6802384 11.2035243 40.5094606 60.5212261
## 7 40.7817366 11.7040096 40.6217630 60.5605246 3.1900379
## 8 60.4656644 11.4142294 60.3207579 80.3643792 20.3882831 20.5297897
## 9 21.1363734 30.6091714 20.7482020 40.5503681 20.1743775 20.3706994
## 10 20.7558871 30.6380313 20.3444682 40.2975870 20.4609536 20.4647504
## 11 50.6611457 5.2354059 50.5077131 70.5533890 10.2792977 10.4804563
## 12 40.9171064 12.1319057 40.6585594 60.5733381 5.4410050 6.4070269
## 13 50.6742246 4.8290605 50.5172728 70.5593258 10.2242394 10.7634894
## 14 40.5024845 10.9908389 40.3328750 60.3802295 3.0510136 4.1298221
## 15 40.8468515 11.5233126 40.6724416 60.6344925 2.3676687 2.2003128
## 16 41.0890770 12.7394851 40.8299328 60.6996216 4.5417590 4.6350485
## 17 31.3484244 21.4697463 30.9750791 50.7447506 10.9439982 10.9363759
## 18 40.8628236 11.8101877 40.7123661 60.6006874 3.4439693 1.2935736
## 19 40.8361292 11.5103498 40.6597151 60.6256282 2.3592466 2.2272872
## 20 40.4083936 10.7287412 40.2209576 60.2951192 3.7800989 4.8369731
## 22 40.9208506 12.2430836 40.6704968 60.5620130 4.8271344 3.9663995
## 23 30.7092795 20.5984561 30.4951557 50.4704489 10.3708381 10.4025582
## 24 30.9565918 21.0324410 30.6794564 50.5630860 10.8088058 10.6386894
## 25 40.7599578 11.2927664 40.5986021 60.5569378 2.6169634 1.0193689
## 26 40.8621067 12.2166780 40.6548215 60.6008764 2.8829588 2.3373473
## 27 30.7688993 20.8077030 30.6020261 50.4283070 10.7242446 10.4321653
## 28 50.3201758 4.7392700 50.1770798 70.2328653 10.7798433 11.0258646
## 29 50.4006960 6.8738442 50.2061232 70.2513751 11.1338509 10.9355661
## 30 40.8089719 11.5019472 40.6567412 60.6191328 2.4770625 2.1853667
## 31 31.1135628 20.9699355 30.9785887 50.7665582 10.4787789 10.1921811
## 32 40.8492127 11.8929595 40.6151591 60.6172991 2.6053341 3.3474470
## 33 30.7357264 20.6145108 30.5105677 50.4250727 10.6010553 10.5510811
## 34 40.5401550 12.1567936 40.3454723 60.3419171 4.6977332 4.8996268
## 35 50.4011368 4.2089210 50.2905101 70.3252531 10.7897016 11.3115077
## 36 50.6624768 5.0027179 50.5098011 70.5279587 10.3039300 10.4330128
## 37 40.6427390 11.6391453 40.4317651 60.4714614 1.6874171 3.2332924
## 38 41.0539227 12.1718270 40.8752561 60.7276820 3.6727241 2.6625289
## 39 40.9050409 12.2171414 40.6889140 60.5926132 4.9914638 4.4685274
## 40 70.4928892 21.3597215 70.3627700 90.3751449 30.5139010 30.4576335
## 41 41.1713064 12.2351437 40.9222666 60.7476548 4.8897313 4.8277334
## 42 30.6948433 20.4642588 30.4696824 50.4617527 10.4330487 10.7908551
## 43 40.7772134 11.3715916 40.6012082 60.5823903 2.0839200 1.9998140
## 44 32.1706650 22.4066840 32.0127983 51.3308632 13.9057061 13.8671194
## 45 80.3051624 30.2365858 80.2237536 100.2594942 40.2413610 40.2884724
## 46 80.3044127 30.2651150 80.2099924 100.2580929 40.2298880 40.2879742
## 47 90.3033879 40.4269285 90.2089336 110.2574292 50.2484303 50.2547326
## 48 30.9900532 20.8758715 30.7122487 50.5896512 10.2296719 10.5384834
## 49 50.5991884 5.8035681 50.4252526 70.4622484 10.3204948 10.3017217
## 50 70.4010810 20.8864446 70.2523679 90.2957921 30.3744314 30.4326744
## 51 21.3187092 30.6675264 20.8894941 40.5525953 20.5282210 20.3703519
## 52 60.3743682 11.1844925 60.2493976 80.3266868 20.2895137 20.4633937
## 53 50.3252402 6.1601351 50.1677307 70.2242198 11.1828852 11.2528046
## 54 31.3596105 21.7477872 30.9714151 50.7589620 11.6932052 11.4486978
## 55 22.0498606 70.3411909 21.8589670 9.2203896 60.3085203 60.2444887
## 56 21.7241210 70.2962127 21.5437010 8.3598011 60.2897867 60.2334201
## 57 30.6460487 20.6725562 30.4172751 50.4124545 10.7794436 10.8789488
## 59 50.3950044 6.2236538 50.2038191 70.2513897 10.9108657 11.0045570
## 60 30.5755866 20.4786789 30.3567869 50.4026934 10.4638475 10.8455242
## 61 21.1632823 30.6108189 20.8991434 40.5727096 20.4967766 20.3492846
## 62 41.1996403 12.8459098 40.9542500 60.7596595 4.9453904 4.8923883
## 63 41.0824718 12.7540070 40.7921792 60.6767917 4.5579452 4.4666285
## 64 12.1998173 40.7116819 13.0661757 31.1785691 30.6057347 30.5999350
## 65 20.9388698 31.0021618 21.4279561 40.7464947 20.9708998 21.0495159
## 66 21.0655876 31.0190532 21.5451580 40.8284666 20.9716072 21.0370388
## 67 40.6986446 11.2988273 40.5699251 60.5449828 2.8076715 1.6998696
## 68 40.8569869 12.5072042 40.6129242 60.5308912 5.3008616 5.2150342
## 69 20.9433840 30.8107826 21.4666127 40.8105679 20.7427725 20.6189491
## 70 41.0745913 12.6112926 40.8538151 60.7096162 5.4543150 5.4511295
## 71 70.4613377 21.4616536 70.3426699 90.3513037 30.6460680 30.6355603
## 72 30.9891708 21.1833621 30.7146342 50.5496337 11.2045514 11.2934723
## 73 40.8653063 11.9792448 40.6151416 60.5755308 4.2119540 4.5996191
## 74 40.8813844 11.5042915 40.7270948 60.6551749 2.4897143 2.1608328
## 75 30.8337499 20.9866605 30.5335537 50.4687328 10.5176598 10.9482514
## 76 30.9242275 20.8991175 30.6448002 50.5059248 10.4517810 10.8144248
## 77 40.7670452 11.7241254 40.5666538 60.5416867 1.8207677 3.1782400
## 8 9 10 11 12 13
## 2
## 3
## 4
## 6
## 7
## 8
## 9 40.2011314
## 10 40.1865297 3.1790936
## 11 10.8086540 30.2064561 30.3678116
## 12 20.6757787 20.7017837 20.7745353 11.9722214
## 13 10.6791537 30.2201293 30.4092413 1.8869696 11.7765359
## 14 20.2033489 20.2950022 20.2327081 10.6085628 5.5800255 10.4823274
## 15 20.4228024 20.3306536 20.5144091 10.2214068 6.3819742 10.3019488
## 16 20.5757959 20.3052852 20.6321990 10.9966413 5.1866812 11.0673080
## 17 30.3794260 10.6062549 11.0850257 20.5185677 11.1948885 20.5518001
## 18 20.5713627 20.3725984 20.5319761 10.4794448 6.9560469 10.7179060
## 19 20.4189034 20.3242885 20.5017912 10.2262742 6.3679233 10.3048466
## 20 20.3747293 20.3891214 20.3043823 10.8583759 6.1306874 10.7445868
## 22 20.3903864 20.4196467 20.4017410 10.9225205 5.6674952 10.9907976
## 23 30.1803597 10.5357847 10.3877105 20.2178352 11.7146203 20.2292631
## 24 30.2052108 10.4630900 10.4382577 20.3482372 11.6140173 20.4031366
## 25 20.4434320 20.3270635 20.4669940 10.3306643 6.0642290 10.5093594
## 26 20.5714610 20.2239060 20.5185656 10.3901702 6.6278876 10.6237371
## 27 30.3278541 10.5823947 10.5714562 20.5185044 11.6178678 20.5857158
## 28 10.3856895 30.2387048 30.1391428 4.4302534 11.6703369 4.4411987
## 29 10.5468376 30.2918524 30.1397244 5.0491635 11.9038866 5.4934382
## 30 20.4247968 20.2743654 20.4846756 10.1551482 6.7687910 10.3111722
## 31 30.4604705 10.7595923 11.2163971 20.3152503 12.0989860 20.4637371
## 32 20.3396932 20.2476111 20.4403870 10.2274026 6.0806963 10.2433050
## 33 30.1482294 10.4708224 10.2778993 20.3438514 11.1296116 20.3560026
## 34 20.3930811 20.3278654 20.1828388 11.1041797 6.3442092 11.1777625
## 35 10.7290018 30.2795987 30.2649181 4.4138746 11.8511697 3.9660775
## 36 10.8089685 30.2020790 30.3518532 1.1694797 11.7509450 2.1384031
## 37 20.3638680 20.1603332 20.3384708 10.4773332 4.5898775 10.5171893
## 38 20.7023782 20.4108607 20.7062446 10.6299175 6.2722164 10.8538059
## 39 20.5439562 20.5869746 20.5838416 11.0488749 6.4184806 11.0820097
## 40 10.7190031 50.2707629 50.2482085 20.7372568 30.7162599 20.7648476
## 41 20.5390887 20.5762461 20.7452763 11.1337273 4.7409040 11.0254275
## 42 30.2043777 10.5000139 10.5528861 20.3254194 10.9245659 20.3554798
## 43 20.3375815 20.2891924 20.4218409 10.2676449 5.5244173 10.3325584
## 44 31.5259522 13.8811490 13.9171164 22.3654191 14.0288688 22.3493719
## 45 20.3359794 60.1601846 60.1499652 30.3826560 40.3209532 30.3471106
## 46 20.3014069 60.1498415 60.1382854 30.3568820 40.2875888 30.3239540
## 47 30.1021115 70.1712744 70.1525345 40.3142990 50.4446780 40.3206752
## 48 30.2383044 10.2441843 10.7041280 20.2565493 10.9750245 20.2324427
## 49 10.5960327 30.1346178 30.2379064 2.3034559 11.5368705 2.7181994
## 50 10.1551014 50.1702520 50.1539771 20.5470026 30.5191724 20.5084001
## 51 40.1748179 3.7021304 2.8265699 30.3752266 20.5981555 30.3948374
## 52 1.8166185 40.1886899 40.1590402 10.6663019 20.8522843 10.5837939
## 53 10.7268987 30.3502523 30.1877535 5.3586247 12.1410591 5.6619726
## 54 30.4488611 11.4049873 11.2427132 20.8319616 11.6184506 20.8765676
## 55 80.3440922 40.4565651 40.4591774 70.2366231 60.5425971 70.2581385
## 56 80.3324149 40.4306746 40.3833164 70.2461155 60.4736634 70.2694555
## 57 30.1967908 10.6633162 10.3562914 20.4345248 11.3273855 20.5036105
## 59 10.5718145 30.2318440 30.1879994 4.9511800 11.6453309 5.1902205
## 60 30.1751906 10.6200343 10.4225476 20.3409150 11.5689441 20.2878527
## 61 40.2487210 3.9810503 3.4756971 30.3458336 21.2534229 30.3832957
## 62 20.6949842 20.3866888 20.7640642 11.1042612 5.9833469 11.1480631
## 63 20.5743446 20.3512788 20.6220663 11.0043615 5.1564024 11.0744996
## 64 50.5037651 11.4122077 11.7347974 40.5537553 30.8674398 40.5575545
## 65 40.5370431 5.3606336 5.7871150 30.8256113 21.2234174 30.8212776
## 66 40.5302388 5.4278088 5.9445451 30.8100697 21.2144692 30.8048827
## 67 20.5361278 20.3871726 20.5165596 10.4170004 6.8954363 10.6270014
## 68 20.7047524 20.5943038 20.6143838 11.7940191 2.9224555 11.8821298
## 69 40.4426576 5.1489132 5.3430796 30.5642053 21.2493099 30.5982571
## 70 20.5548511 20.6940074 20.7304977 11.2934569 6.2699037 11.1797621
## 71 11.0112932 50.3810847 50.3086413 21.0410123 30.8745330 21.0625091
## 72 30.3288615 11.0819353 10.8645250 20.7099618 11.3947384 20.6569389
## 73 20.2424412 20.3635384 20.3811776 10.7376742 5.4633517 10.6202165
## 74 20.4252631 20.3421596 20.5514210 10.2533647 6.4202262 10.3120959
## 75 30.2516321 10.1024404 10.5304388 20.4274451 10.9072079 20.4211348
## 76 30.2341241 10.2913942 10.6282924 20.4494432 10.6150580 20.3925055
## 77 20.3262979 20.1187774 20.3973064 10.3770136 5.0878686 10.3569719
## 14 15 16 17 18 19
## 2
## 3
## 4
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15 3.7819620
## 16 5.3131224 4.3514505
## 17 11.2780466 10.9161820 10.1155045
## 18 4.3793659 2.1683159 4.4158874 10.8543217
## 19 3.7582028 0.1410861 4.3674316 10.9207397 2.2047304
## 20 2.2054422 4.8167433 6.4589911 11.7212372 5.1508267 4.7752392
## 22 4.3286709 4.0706267 2.9230640 10.3223245 3.6632861 4.0852704
## 23 10.1928356 10.2890513 11.2158586 4.9751865 10.4669044 10.2774371
## 24 10.5162553 10.6117916 10.4940037 3.4399217 10.5818202 10.6080394
## 25 3.6622162 1.9499394 4.6222295 10.9261337 1.5817521 1.9803271
## 26 4.4414086 2.5373558 3.5809519 10.5273560 2.1116577 2.5646660
## 27 10.5883141 10.7949054 11.1502520 4.6382435 10.4517457 10.7875271
## 28 10.3972401 11.0009242 11.7462864 20.8726081 11.1879975 10.9755631
## 29 10.8122608 11.1240551 11.5655782 20.7300266 11.1291779 11.1007687
## 30 3.4394912 1.6487151 4.2703291 10.8968447 1.8926696 1.6904433
## 31 10.9906352 10.3764937 11.1773249 5.0688044 10.2463060 10.3803296
## 32 3.5055701 2.0101566 3.4300559 10.5695895 3.2269527 2.0249557
## 33 10.2620618 10.6118367 10.8433899 4.0418861 10.6028237 10.6071462
## 34 2.8836995 5.1243544 4.8674224 11.0632572 4.9475352 5.1126878
## 35 10.1868657 11.2402519 11.7865408 20.9150893 11.3471602 11.2331661
## 36 10.7085478 10.1794264 10.9149707 20.4630514 10.4238122 10.1823591
## 37 3.2194201 2.8985525 4.0404350 10.7385622 3.8300800 2.8778768
## 38 5.4699518 2.4382560 3.6101851 10.6486887 2.4331917 2.4585807
## 39 4.6493900 4.4922895 4.9381902 11.0546766 4.3533418 4.4922895
## 40 30.3784368 30.4924936 30.5223058 40.3690889 30.4734279 30.4902087
## 41 5.4882341 4.1339302 3.0165500 10.4541677 4.6306446 4.1435492
## 42 10.2526915 10.8469408 11.1601993 4.8258078 10.9855332 10.8405160
## 43 3.2748046 1.0259759 4.1152423 10.8193287 2.3767556 1.0356311
## 44 13.7451307 14.0130983 14.0437562 9.8639207 13.9038040 14.0081257
## 45 40.1401186 40.2849458 40.4365469 50.3629687 40.3377377 40.2795102
## 46 40.1366183 40.2734852 40.4052650 50.3362609 40.3442055 40.2680481
## 47 50.1685163 50.2645187 50.3968825 60.3107110 50.2811027 50.2605585
## 48 10.6564180 10.3332387 10.4279947 2.7736552 10.5452369 10.3274581
## 49 10.4073364 10.3177342 10.6182811 20.2726782 10.3147366 10.3215920
## 50 30.2092981 30.4162170 30.4051137 40.2718117 30.4479087 30.4116356
## 51 20.3410481 20.4686734 20.3476362 10.5241133 20.3702818 20.4657558
## 52 20.0839324 20.3825111 20.7647163 30.5048074 20.5362997 20.3766508
## 53 10.8631705 11.3005943 12.1558583 21.0961651 11.4882948 11.2653105
## 54 11.4654301 11.5016295 10.9928220 4.2853832 11.4937210 11.5042252
## 55 60.2831475 60.2521197 60.3153589 50.3747846 60.2018232 60.2536064
## 56 60.2505693 60.2608727 60.3438237 50.4001726 60.2150949 60.2612031
## 57 10.2036154 11.0166018 11.2761330 5.1125075 11.0439641 11.0075639
## 59 10.8369641 11.1026735 11.5691194 20.7293139 11.1921755 11.0703554
## 60 10.0375151 10.7298894 11.5684265 5.6797056 10.9890369 10.7150381
## 61 20.2516326 20.4723205 20.7255678 11.2721731 20.2994456 20.4674584
## 62 5.8348769 4.4432078 1.2889317 10.2033548 4.3690307 4.4566274
## 63 5.3248471 4.3751717 1.4263597 10.0144361 4.2554842 4.3865309
## 64 30.6690461 30.6448170 30.5932288 20.8489346 30.5408459 30.6425435
## 65 20.9021686 21.1501165 20.9462177 11.7197667 20.9965755 21.1425860
## 66 20.9057201 21.1312270 20.8898526 11.6424683 20.9758750 21.1255743
## 67 3.5646599 2.6288594 5.5628130 11.3590241 2.1861960 2.6439597
## 68 5.3394294 6.0237162 4.5925313 10.8769677 5.8656783 6.0253682
## 69 20.7489331 20.6967894 20.8368010 11.5444805 20.5664365 20.6939039
## 70 5.0052748 4.9507909 4.5936033 11.0220826 5.2170589 4.9608323
## 71 30.5683487 30.6082536 30.8800593 40.6475006 30.7020326 30.5971961
## 72 10.9059633 11.1925653 11.2855173 5.0761699 11.3430394 11.1836696
## 73 3.3210779 3.8601005 3.2140536 10.5104596 4.3897380 3.8601005
## 74 3.7684315 0.7289376 4.2311738 10.8808891 1.8779397 0.8189549
## 75 10.6092015 10.9055812 10.4454246 3.0880522 11.0022072 10.8955377
## 76 10.6706481 10.7028375 10.4662321 2.8423004 10.8540177 10.6935344
## 77 3.2610765 2.4849559 3.0252822 10.4385514 3.1743838 2.4849559
## 20 22 23 24 25 26
## 2
## 3
## 4
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
## 17
## 18
## 19
## 20
## 22 5.3888718
## 23 10.4694830 10.7707770
## 24 10.9822985 10.2253917 2.8967552
## 25 4.2166020 3.9514119 10.3372311 10.6430047
## 26 5.2311537 3.8169667 10.6255878 10.5993051 2.4872770
## 27 10.8049461 10.7686111 3.1071878 3.4331449 10.4466461 10.6757146
## 28 10.3173154 11.2911858 20.2160328 20.4482619 10.8739066 11.2634293
## 29 10.8722867 11.0888925 20.3347200 20.4175193 10.9733866 11.0882561
## 30 4.4475747 3.9082141 10.3150476 10.4820907 1.9056395 2.0824300
## 31 11.3840715 11.2195428 3.5575629 4.3746363 10.2481668 10.3664060
## 32 4.7533420 3.4011537 10.4026534 10.4145858 3.1217426 2.4272401
## 33 10.5212170 10.3947389 2.2561889 2.2216889 10.4615570 10.7680987
## 34 4.0444587 3.8656093 10.6264989 10.3699291 4.8875018 4.5708705
## 35 10.2025296 11.3120078 20.3013809 20.4559941 11.0461699 11.3823113
## 36 10.9149282 10.8236530 20.2212399 20.3509698 10.2774104 10.4363464
## 37 4.1564832 4.5074537 10.4298596 10.6984728 3.0165059 2.9496226
## 38 6.3262450 4.0926494 10.8544111 10.8337907 2.7950696 2.7024242
## 39 5.2635405 3.7917905 10.8939973 10.7556991 4.2651909 4.7424744
## 40 30.4742268 30.3576852 40.2963717 40.2555212 30.4336543 30.4921212
## 41 6.5507582 3.0584476 11.1716926 10.7964580 4.6060143 4.7852639
## 42 10.3828922 10.9953954 3.0972754 3.7925924 10.6157288 10.9359885
## 43 4.4296868 3.8170800 10.2274847 10.5271423 1.6896420 2.6982022
## 44 14.0191024 13.8620948 9.5113157 9.4612291 13.7914959 14.1128413
## 45 40.1398093 40.3331185 50.1371882 50.1973376 40.2239412 40.4168330
## 46 40.1363090 40.3137067 50.1343859 50.1865410 40.2234422 40.4014358
## 47 50.1741298 50.2852587 60.1504576 60.1939011 50.2247555 50.2984997
## 48 11.0234733 10.6066740 3.1486860 3.2950464 10.4538868 10.3712445
## 49 10.7110863 10.4395383 20.1739586 20.1611283 10.2306082 10.2006006
## 50 30.2556855 30.2497351 40.2110602 40.1721656 30.3727521 30.4216535
## 51 20.4986909 20.0850564 10.5922430 10.2644001 20.3648549 20.4419930
## 52 20.2098618 20.5527004 30.1057045 30.2290995 20.3819194 20.5315211
## 53 10.7673033 11.7213109 20.3650543 20.6384951 11.2112333 11.5249118
## 54 11.8757749 10.6718100 5.5113200 4.3159267 11.4435140 11.4081595
## 55 60.3672148 60.2234061 50.2817469 50.2518782 60.2408830 60.2764005
## 56 60.3128336 60.2452221 50.2526215 50.2592700 60.2298137 60.2923635
## 57 10.4516698 10.8486782 2.9299664 3.1640810 10.7970202 11.0647960
## 59 10.7551690 11.3224552 20.3713063 20.5322055 10.9524385 11.0928186
## 60 10.1743974 11.1250407 1.8602593 3.7044776 10.6811537 11.0304995
## 61 20.3867947 20.3926258 10.4350706 10.4589963 20.3541267 20.4139962
## 62 6.9153288 3.1027580 11.3574709 10.6081861 4.8694498 3.8234419
## 63 6.2947863 2.5950069 11.2187564 10.5925634 4.4533248 3.3303554
## 64 30.7916655 30.5881041 20.9069653 20.8235640 30.5928356 30.5842322
## 65 21.0703350 20.9379212 11.7857858 11.5632322 21.0391942 20.9774346
## 66 21.1097770 20.8937998 11.8083349 11.5176793 21.0267109 20.9545143
## 67 4.0079188 4.8934790 10.3529519 10.8379974 1.4356007 2.9043465
## 68 6.0236055 4.8546102 11.5026912 11.2131614 5.2036442 5.4833929
## 69 20.9229017 20.6935218 11.1899951 11.1800155 20.6211759 20.7052084
## 70 6.1606797 3.8127634 11.1475619 10.8083816 5.2557750 5.3851256
## 71 30.6260353 30.7294026 40.3660356 40.4712052 30.6203150 30.7616607
## 72 11.2327602 10.9072293 4.2880031 4.2163806 11.2004855 11.4436623
## 73 4.8356345 2.1429316 10.5993103 10.2257823 4.3663319 4.1408353
## 74 4.9144580 3.8767047 10.3209221 10.5793416 1.8774537 2.5239176
## 75 10.8663108 10.7198093 3.8994890 3.0519238 10.8523070 10.6531132
## 76 11.0224210 10.6223303 3.6842607 3.4699111 10.7172824 10.6861109
## 77 4.5084903 3.6183965 10.4427530 10.4688105 2.9216147 2.2289181
## 27 28 29 30 31 32
## 2
## 3
## 4
## 6
## 7
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## 27
## 28 20.4082366
## 29 20.4546393 2.5780964
## 30 10.6172306 10.9508989 11.1141524
## 31 3.1727863 20.6600443 20.7014984 10.2810462
## 32 10.9948392 11.0448849 11.0629177 2.2105063 10.7588136
## 33 2.5939050 20.2414808 20.3565015 10.5282516 4.1636569 10.5972877
## 34 10.6566140 10.8217326 10.8187618 4.3361102 11.3219705 4.2179151
## 35 20.4122330 3.3777737 5.1271200 10.9137945 20.7391579 11.1091789
## 36 20.4968307 4.3754553 5.0261150 10.2242129 20.3273968 10.2767639
## 37 10.7185902 10.7809067 10.8729155 3.1556289 10.5658819 2.6876432
## 38 10.9290840 11.5874986 11.5265613 2.9865605 10.4281400 3.3528368
## 39 11.0151150 11.3160128 11.3658635 4.4079726 11.3362525 4.4277894
## 40 40.3063023 20.5315605 20.4780802 30.4488025 40.4353298 30.4496460
## 41 11.3577891 11.7568892 11.7791625 4.7893559 11.4576457 3.9317673
## 42 3.3205981 20.2653280 20.4862676 10.7122154 4.2901450 10.8081057
## 43 10.6278451 10.8515991 10.9859900 1.9145848 10.3409262 2.1615607
## 44 9.0194235 22.2905740 22.4723314 13.9146501 9.5821014 14.1430882
## 45 50.1741122 30.1693217 30.3745236 40.2878791 50.2759307 40.3414200
## 46 50.1937092 30.1593412 30.3434515 40.2853881 50.2883046 40.3100642
## 47 60.1897503 40.0848349 40.0981708 50.2441049 60.2638758 50.2683388
## 48 3.6775612 20.4763830 20.5400312 10.4548860 3.6350842 10.2787435
## 49 20.2505725 4.1493664 4.2068914 10.1655927 20.2544945 10.2128596
## 50 40.2591695 20.2305649 20.2472974 30.3726201 40.4317948 30.3192444
## 51 10.4295148 30.3052922 30.2703293 20.4455711 11.1569173 20.4066280
## 52 30.2793159 10.2490546 10.5233788 20.3419914 30.3750557 20.3391595
## 53 20.5913044 1.8129734 2.0421622 11.3313911 20.7968320 11.3940299
## 54 5.7385264 20.9505691 20.7939258 11.5159250 6.5950179 11.1723703
## 55 50.2559350 70.4002666 70.4619894 60.2220346 50.3233653 60.2792247
## 56 50.2180995 70.3528908 70.4212704 60.2375504 50.3121137 60.2989853
## 57 3.1549577 20.2609051 20.3824382 10.8004214 4.6966724 10.8949528
## 59 20.4448953 2.2306949 1.7818704 11.1342762 20.6548493 11.1223956
## 60 3.6185130 20.1587173 20.3903255 10.6541444 4.6140776 10.7082715
## 61 10.2163125 30.2892623 30.3203194 20.3099466 10.8003559 20.4937879
## 62 11.2687113 11.9786691 11.8396098 4.4169536 11.2737338 3.7566734
## 63 11.0851911 11.7330040 11.4567447 4.3236002 11.2068472 3.4234725
## 64 20.6192967 40.6205023 40.6940098 30.5947645 20.8404494 30.6839013
## 65 11.1526734 30.6987951 30.7672617 21.0103269 11.8231295 21.1126831
## 66 11.1668836 30.7323057 30.7951174 20.9824747 11.7898406 21.0824792
## 67 10.4481197 10.8680241 11.0326267 2.0885064 10.2108107 3.7261206
## 68 11.0034680 11.6446908 11.5003486 6.0066230 11.4760132 5.7507762
## 69 10.8952821 30.5733917 30.6332368 20.6418883 11.2179367 20.8037855
## 70 11.3911106 11.6942545 11.7754489 5.0011439 11.7061127 4.4846350
## 71 40.4788604 20.4899011 20.4602446 30.6840996 40.5592207 30.6682765
## 72 4.8407203 20.5932295 20.6786326 11.2840882 5.9652204 11.0975021
## 73 10.9784877 11.0916529 11.1293377 3.7559511 11.3341560 2.6252803
## 74 10.7051957 11.0785441 11.2347480 1.4589463 10.3339216 2.1916226
## 75 3.7333339 20.4324103 20.4954455 10.7861452 4.6242085 10.6108905
## 76 3.5278425 20.4728076 20.5522866 10.7923955 4.3835580 10.5846869
## 77 10.6127703 10.9389686 11.0423818 2.4313550 10.5012767 1.9267315
## 33 34 35 36 37 38
## 2
## 3
## 4
## 6
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## 33
## 34 10.4278885
## 35 20.2575561 10.5565098
## 36 20.3005573 11.2686335 4.7441654
## 37 10.5527491 4.2610888 10.9915755 10.4977094
## 38 10.8918715 6.0730527 11.9700217 10.4421336 3.7691925
## 39 10.7158682 5.0755583 11.3545667 10.9601083 5.0214269 4.9254686
## 40 40.2400218 30.4021538 20.7196849 20.7404382 30.4749624 30.6097904
## 41 10.8160909 6.0680845 11.9812778 10.8448667 4.6905563 3.5346341
## 42 2.4650027 10.6265305 20.1936697 20.3386035 10.3880609 11.2400667
## 43 10.4317631 4.7179557 11.0656501 10.2207065 2.2668204 2.6052280
## 44 9.0770833 13.9419044 22.1917786 22.3191344 13.8923032 14.0523663
## 45 50.0988966 40.3302787 30.2371625 30.3407213 40.2542169 40.4115683
## 46 50.0960922 40.3208222 30.2497715 30.3149116 40.2287806 40.4001436
## 47 60.1512141 50.2497668 40.2684217 40.3226521 50.2472908 50.3861500
## 48 3.0329494 10.9617903 20.5800038 20.1968844 10.1955715 10.3848421
## 49 20.1836717 10.5760524 3.9025846 2.6566611 10.3357281 10.6097554
## 50 40.1413985 30.2544138 20.4117976 20.5509318 30.3442207 30.5749927
## 51 10.1710321 20.2791156 30.3505543 30.3229151 20.4294881 20.4989250
## 52 30.1573113 20.3144308 10.4332764 10.7855323 20.2958573 20.7769774
## 53 20.4668941 11.1780818 5.0089066 5.2984827 11.0428160 11.8559737
## 54 4.5992211 11.2873213 21.0382426 20.7788575 11.3892949 11.5260922
## 55 50.2501101 60.2943107 70.2742538 70.2219178 60.3473712 60.2649123
## 56 50.2182960 60.2737941 70.2443812 70.2279957 60.3130456 60.2825473
## 57 2.2396203 10.2765732 20.1855960 20.4835552 10.6400058 11.5141163
## 59 20.4009500 11.0818591 4.9868820 4.8335278 10.7467472 11.4419573
## 60 2.6534513 10.5284249 20.1181285 20.3882283 10.5166321 11.4846472
## 61 10.4304205 20.2072013 30.2139767 30.3788717 20.5374031 20.6902919
## 62 11.0082975 5.4871793 12.0195564 10.9644907 4.7749323 3.4440348
## 63 10.8528085 4.8773623 11.8007175 10.9209261 4.0234847 3.6496662
## 64 20.7467845 30.6562853 40.5480067 40.5117446 30.6327512 30.5730866
## 65 11.4227247 20.7723838 30.6297365 30.8101065 20.9446564 21.1287048
## 66 11.4255993 20.7685653 30.6370688 30.8013785 20.9460137 21.0997664
## 67 10.6389673 4.8345396 10.9266082 10.4803092 3.3826425 3.8625870
## 68 10.9243910 5.2362077 11.7461975 11.6982636 4.1679632 5.6751214
## 69 11.0287684 20.7896061 30.5928450 30.5173916 20.7793744 20.6913388
## 70 10.8958394 5.2678113 11.5877056 11.2121731 5.3951215 5.3575079
## 71 40.4002614 30.7377829 21.1176613 20.9741298 30.5938449 30.7654123
## 72 3.6745932 11.1222490 20.6709897 20.6337815 11.0888626 11.4622770
## 73 10.4074383 3.3448849 10.9416829 10.7526056 3.9846600 4.7182264
## 74 10.5733361 5.0377364 11.1851060 10.2122099 3.1493897 2.4006170
## 75 3.0671410 10.5635584 20.4319550 20.4225538 10.3565023 10.9981862
## 76 2.8567849 10.8673316 20.5478103 20.3722888 10.3212680 10.7060429
## 77 10.4858174 3.9543442 10.9368615 10.4013943 1.7703685 3.1830544
## 39 40 41 42 43 44
## 2
## 3
## 4
## 6
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## 39
## 40 30.1235914
## 41 4.7141534 30.5636276
## 42 11.1279419 40.3168052 11.3250452
## 43 4.3007582 30.4372104 3.8845175 10.5816813
## 44 14.0688901 41.2620981 14.0221160 9.1892288 13.7973556
## 45 40.3305763 11.2512090 40.3705222 50.1048347 40.2208774 50.8795434
## 46 40.3211198 11.2172646 40.3431693 50.1004282 40.2093985 50.8988688
## 47 50.3109740 20.4113730 50.4076951 60.1689865 50.2351915 60.8522732
## 48 10.9577841 40.3427510 10.4979431 3.4213041 10.2514233 9.4728538
## 49 10.7595279 20.5107974 10.9263727 20.2378646 10.2512075 22.1312477
## 50 30.3812583 3.6759380 30.4413694 40.1945458 30.3573280 41.1989274
## 51 20.3733116 50.2022941 20.3418215 10.6678478 20.3681476 13.6199681
## 52 20.6123390 10.8877867 20.8138536 30.1469061 20.3023060 31.5325737
## 53 11.7473143 20.6738816 12.2364317 20.5182951 11.1741358 22.5707245
## 54 10.3142344 40.1470045 11.0460027 5.5904509 11.3264107 10.3643302
## 55 60.3528820 90.3830414 60.3034073 50.3530489 60.2495002 51.0063920
## 56 60.3580635 90.3774303 60.3268621 50.2916090 60.2416560 50.9679723
## 57 11.1021398 40.2782823 11.5364031 1.8145949 10.7555275 9.2772724
## 59 11.4633883 20.5329351 11.7402218 20.4237676 10.9643392 22.4088771
## 60 11.1620625 40.3217179 11.6267274 2.4049623 10.5667823 9.5693075
## 61 20.5415070 50.2457945 20.8998417 10.7626103 20.4311469 13.7184521
## 62 5.0664506 30.5927139 2.8792062 11.4775667 4.4313587 14.1517404
## 63 4.7541578 30.4907873 3.0220436 11.1662613 4.1403170 14.0641507
## 64 30.8524400 60.5372569 30.6626815 20.9021330 30.6070115 22.3959885
## 65 21.3467728 50.5678916 21.1911589 11.5673732 21.0478447 14.1951280
## 66 21.3214943 50.5594317 21.1413956 11.5760545 21.0288633 14.1595638
## 67 4.8902064 30.4910037 5.8864078 10.6613916 2.4847603 13.9077712
## 68 5.9288440 30.5940363 5.1891716 10.7844031 5.1269147 13.8072921
## 69 20.8588049 50.4235012 20.8691946 11.4037839 20.6535153 14.0531595
## 70 1.9890042 30.1900381 4.2179835 11.3706815 4.7445156 14.1762976
## 71 30.4071963 3.4868273 30.7937181 40.4701682 30.5617910 41.4540555
## 72 10.2396178 40.1278729 11.0880542 4.5626701 11.0124301 9.8578596
## 73 4.1323680 30.3638046 3.4150373 10.8052103 3.5917229 13.9135462
## 74 4.3883833 30.4828970 4.0168076 10.8433440 1.2160278 13.9173746
## 75 11.1506467 40.3273831 10.9855897 2.9562298 10.7206249 9.4765069
## 76 11.0398516 40.3345828 10.5372509 3.1772896 10.5143154 9.2696485
## 77 4.5417352 30.4232315 3.9127994 10.5162752 2.1682638 13.7890442
## 45 46 47 48 49 50
## 2
## 3
## 4
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## 45
## 46 0.6644937
## 47 10.8308052 10.8104019
## 48 50.2078692 50.1922766 60.2249913
## 49 30.3288754 30.3110025 40.2466307 20.1789027
## 50 10.7547807 10.6817510 20.1264323 40.2401452 20.3450597
## 51 60.1539711 60.1476314 70.1711863 10.5705012 30.1770161 50.1310895
## 52 20.3299921 20.3112259 30.1200612 30.2736886 10.5129977 10.3801594
## 53 30.3217951 30.3012687 40.1189723 20.6718259 5.1207494 20.3990889
## 54 50.3865148 50.3550367 60.3426366 5.0237867 20.5644170 40.3278669
## 55 100.2314913 100.2413027 110.3385837 50.3256160 70.2081966 90.3353048
## 56 100.2016334 100.2114477 110.3229534 50.3164207 70.2114181 90.3272991
## 57 50.1312840 50.1292821 60.1581433 4.1805868 20.2633217 40.1712089
## 59 30.2992693 30.2760761 40.0861741 20.4495111 4.3080329 20.2534275
## 60 50.1146113 50.1118078 60.1446934 3.9096663 20.2672242 40.1929831
## 61 60.1910607 60.2073974 70.1632593 10.9730569 30.1720159 50.1979814
## 62 40.4964329 40.4731324 50.4477687 10.5268484 10.7902062 30.4847491
## 63 40.4612364 40.4279878 50.3758111 10.4256399 10.5349619 30.3687765
## 64 70.3320984 70.3460800 80.3912726 20.7202910 40.4384344 60.4380578
## 65 60.3668796 60.3831687 70.3630083 11.5350098 30.6047358 50.4218565
## 66 60.3719352 60.3882229 70.3658416 11.5248163 30.5832565 50.4182036
## 67 40.2582777 40.2687457 50.2303283 10.7313178 10.3275820 30.4405445
## 68 40.3732318 40.3518498 50.4028162 10.9523908 11.0815182 30.4896450
## 69 60.2922005 60.3065130 70.3057465 11.2002692 30.4458016 50.3852702
## 70 40.4110293 40.3956299 50.3905952 11.0130307 11.0005697 30.4322156
## 71 11.4729576 11.4256268 20.4440561 40.4573660 20.9659051 4.9738589
## 72 50.2389984 50.2266123 60.2750082 4.3523016 20.5476136 40.2929414
## 73 40.2931446 40.2677328 50.2595795 10.5235297 10.4132718 30.2028111
## 74 40.2870992 40.2836118 50.2722252 10.3469485 10.3008465 30.4174361
## 75 50.1934257 50.1762286 60.2161592 2.4509208 20.2358284 40.1914017
## 76 50.1844945 50.1720950 60.2284907 1.4303962 20.2752428 40.2167549
## 77 40.2743211 40.2588694 50.2485755 10.0900555 10.1952303 30.2972652
## 51 52 53 54 55 56
## 2
## 3
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## 51
## 52 40.2289491
## 53 30.4434462 10.5600256
## 54 10.7704332 30.5652227 21.1463119
## 55 40.3312676 80.3223345 70.5192829 50.5543921
## 56 40.3055042 80.2988792 70.4608276 50.5546193 1.4171683
## 57 10.5267831 30.1287532 20.4677599 5.3535671 50.3335247 50.2778623
## 59 30.3297720 10.5470598 1.9049468 20.9332041 70.4875749 70.4419257
## 60 10.8039639 30.0639567 20.3598208 5.9955050 50.3700401 50.3146678
## 61 3.3770007 40.1854817 30.4236728 11.6146126 40.2990701 40.2841277
## 62 20.4131506 20.9179387 12.4168793 11.1890517 60.2928424 60.3405989
## 63 20.3008168 20.7641729 12.1283714 10.8940462 60.3227507 60.3500576
## 64 11.4288628 50.5077669 40.7678451 21.5043828 30.5198800 30.5044847
## 65 5.5512023 40.5393243 30.8582740 12.7800764 40.5860690 40.5525639
## 66 5.5249588 40.5397141 30.9069895 12.7175535 40.5706764 40.5496809
## 67 20.5289133 20.3627141 11.1741270 11.8561507 60.2689174 60.2501220
## 68 20.4094268 20.7913174 12.0051183 11.3293101 60.4477891 60.3840556
## 69 4.8659136 40.4442411 30.7127947 12.1220218 40.4381807 40.4225243
## 70 20.4503396 20.7051662 12.2098928 10.3123532 60.3766949 60.4006980
## 71 50.3709040 11.1346412 20.4312556 40.4034502 90.5393128 90.5086178
## 72 10.7159346 30.3806561 20.8070561 2.7689288 50.4773521 50.4461553
## 73 20.2090094 20.3492874 11.5831615 10.8362693 60.2595732 60.2807336
## 74 20.4413567 20.3991127 11.4522483 11.4989244 60.2226642 60.2381798
## 75 10.5590035 30.2694690 20.6397233 5.0471872 50.3922426 50.3642346
## 76 10.4447917 30.2958897 20.6910703 4.9294372 50.3521705 50.3248324
## 77 20.3479529 20.3238304 11.3262475 11.2572096 60.2755559 60.2774579
## 57 59 60 61 62 63
## 2
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## 59 20.4403584
## 60 2.2871814 20.3863557
## 61 10.4743865 30.3723043 10.5629634
## 62 11.6043977 11.8082207 11.8326131 20.7690039
## 63 11.2814269 11.4554551 11.5677950 20.6896759 1.9474896
## 64 20.9628438 40.6477395 21.0484761 11.4715297 30.5724477 30.6025962
## 65 11.5440611 30.7069251 11.8127785 5.3874252 20.9888407 20.9556230
## 66 11.5464965 30.7413112 11.8519748 5.3803839 20.9303869 20.9011881
## 67 10.7816996 11.0135699 10.6005612 20.2991716 5.8543787 5.4344033
## 68 10.9586060 11.4588342 11.4690717 20.8641032 5.5589061 4.3763434
## 69 11.4043337 30.6227229 11.4969321 4.7892821 20.8265365 20.8499793
## 70 11.3111905 11.9015962 11.4097555 20.7193905 4.6840681 4.6183797
## 71 40.4581458 20.4362250 40.4106037 50.4242987 30.9493547 30.8716567
## 72 4.5101306 20.7147228 4.5676284 11.2406259 11.4329870 11.2824004
## 73 10.6744102 11.2919946 10.7615501 20.4270338 3.5879549 3.2113682
## 74 11.0012443 11.2245782 10.7648395 20.4222737 4.2503078 4.2832281
## 75 3.4435708 20.4179615 3.8391171 10.9049922 10.6868952 10.5322870
## 76 3.8899766 20.4478077 4.0144818 11.0004661 10.6188629 10.4628712
## 77 10.7080182 10.9254628 10.6333808 20.4125463 3.5068911 3.0464809
## 64 65 66 67 68 69
## 2
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## 64
## 65 10.2642818
## 66 10.2649270 0.5620719
## 67 30.6557311 21.0747115 21.0704077
## 68 30.7300865 20.9913224 20.9678151 5.8438750
## 69 10.2639774 2.9554482 2.9732413 20.6888682 21.0250133
## 70 30.9027697 21.4008548 21.3506480 5.9677984 6.1735751 20.9791264
## 71 60.6882368 50.7383093 50.7536872 30.6717792 30.8868711 50.5453507
## 72 21.2632593 12.3594974 12.3648636 11.4814279 11.4234704 11.6943480
## 73 30.6603301 20.9679209 20.9214327 5.0507272 5.2700319 20.7984113
## 74 30.5960038 21.0826786 21.0549221 2.5661766 5.9849499 20.6431947
## 75 20.7709111 11.2984965 11.3002856 11.0408835 10.7429135 11.3752011
## 76 20.6773536 11.3043250 11.3043525 11.0225480 10.6520948 11.2088724
## 77 30.5186240 20.7996289 20.7768628 3.4358284 4.6436376 20.6545243
## 70 71 72 73 74 75
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## 71 30.5069612
## 72 10.2617177 40.2505521
## 73 3.5960035 30.6889414 10.8391717
## 74 4.7744461 30.6482048 11.1854611 3.7507107
## 75 11.2271456 40.5135120 4.6105246 10.5897203 10.9110359
## 76 11.0364478 40.4647947 4.1425363 10.5524355 10.6892327 2.0239392
## 77 4.6347055 30.6447651 11.0324001 3.0461601 2.4382643 10.2913306
## 76
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## 77 10.2315835fviz_cluster(km1, data = cereals_k)
library(cluster)
library(ggplot2)
library(factoextra)
dist_cereals_model1<-fviz_silhouette(silhouette(km1$cluster, dist_cereals_k))## cluster size ave.sil.width
## 1 1 28 0.69
## 2 2 12 0.50
## 3 3 23 0.39
## 4 4 5 0.57
## 5 5 6 0.56dist_cereals_model1
km2 <- kmeans(cereals_k,3)
km2## K-means clustering with 3 clusters of sizes 13, 8, 53
##
## Cluster means:
## Calories Protein Fat Sodium Fiber Carbo
## 1 76.92308 2.692308 -0.76401559 -0.91611210 1.0384753 -0.345638953
## 2 142.50000 3.250000 0.99322026 0.08469437 0.2112017 0.599425823
## 3 109.05660 2.358491 0.03748001 0.21192268 -0.2865999 -0.005700004
## Sugars Potass Vitamins Shelf Weight Cups
## 1 -1.0130047 0.7318294 -0.61313460 0.1099383 -0.78747454 -0.4376469
## 2 0.7494399 0.6823136 0.65917798 0.9419715 1.59983292 -0.1235457
## 3 0.1353499 -0.2824960 0.05089294 -0.1691504 -0.04833008 0.1259958
## Cold Nabisco Quaker Kelloggs GeneralMills Ralston
## 1 0.11624764 1.2545631 0.15384615 0.3076923 0.0000000 0.07692308
## 2 0.11624764 -0.2673659 0.00000000 0.3750000 0.3750000 0.25000000
## 3 -0.04606039 -0.2673659 0.09433962 0.3018868 0.3584906 0.07547170
## AHFP
## 1 0.00000000
## 2 0.00000000
## 3 0.01886792
##
## Clustering vector:
## 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 25 26 27
## 1 3 1 1 3 3 2 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
## 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
## 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 2 2 2 3 3 2 1 2
## 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77
## 3 3 1 1 3 3 3 1 3 3 1 1 1 3 3 1 3 2 3 3 3 3 3 3
##
## Within cluster sum of squares by cluster:
## [1] 3691.4919 803.3484 3022.1837
## (between_SS / total_SS = 74.7 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss"
## [5] "tot.withinss" "betweenss" "size" "iter"
## [9] "ifault"library(factoextra)
get_dist(cereals_k)## 1 2 3 4 6 7
## 2 50.6023362
## 3 4.4643388 50.5230443
## 4 20.5885902 70.5064299 20.2303498
## 6 40.6802384 11.2035243 40.5094606 60.5212261
## 7 40.7817366 11.7040096 40.6217630 60.5605246 3.1900379
## 8 60.4656644 11.4142294 60.3207579 80.3643792 20.3882831 20.5297897
## 9 21.1363734 30.6091714 20.7482020 40.5503681 20.1743775 20.3706994
## 10 20.7558871 30.6380313 20.3444682 40.2975870 20.4609536 20.4647504
## 11 50.6611457 5.2354059 50.5077131 70.5533890 10.2792977 10.4804563
## 12 40.9171064 12.1319057 40.6585594 60.5733381 5.4410050 6.4070269
## 13 50.6742246 4.8290605 50.5172728 70.5593258 10.2242394 10.7634894
## 14 40.5024845 10.9908389 40.3328750 60.3802295 3.0510136 4.1298221
## 15 40.8468515 11.5233126 40.6724416 60.6344925 2.3676687 2.2003128
## 16 41.0890770 12.7394851 40.8299328 60.6996216 4.5417590 4.6350485
## 17 31.3484244 21.4697463 30.9750791 50.7447506 10.9439982 10.9363759
## 18 40.8628236 11.8101877 40.7123661 60.6006874 3.4439693 1.2935736
## 19 40.8361292 11.5103498 40.6597151 60.6256282 2.3592466 2.2272872
## 20 40.4083936 10.7287412 40.2209576 60.2951192 3.7800989 4.8369731
## 22 40.9208506 12.2430836 40.6704968 60.5620130 4.8271344 3.9663995
## 23 30.7092795 20.5984561 30.4951557 50.4704489 10.3708381 10.4025582
## 24 30.9565918 21.0324410 30.6794564 50.5630860 10.8088058 10.6386894
## 25 40.7599578 11.2927664 40.5986021 60.5569378 2.6169634 1.0193689
## 26 40.8621067 12.2166780 40.6548215 60.6008764 2.8829588 2.3373473
## 27 30.7688993 20.8077030 30.6020261 50.4283070 10.7242446 10.4321653
## 28 50.3201758 4.7392700 50.1770798 70.2328653 10.7798433 11.0258646
## 29 50.4006960 6.8738442 50.2061232 70.2513751 11.1338509 10.9355661
## 30 40.8089719 11.5019472 40.6567412 60.6191328 2.4770625 2.1853667
## 31 31.1135628 20.9699355 30.9785887 50.7665582 10.4787789 10.1921811
## 32 40.8492127 11.8929595 40.6151591 60.6172991 2.6053341 3.3474470
## 33 30.7357264 20.6145108 30.5105677 50.4250727 10.6010553 10.5510811
## 34 40.5401550 12.1567936 40.3454723 60.3419171 4.6977332 4.8996268
## 35 50.4011368 4.2089210 50.2905101 70.3252531 10.7897016 11.3115077
## 36 50.6624768 5.0027179 50.5098011 70.5279587 10.3039300 10.4330128
## 37 40.6427390 11.6391453 40.4317651 60.4714614 1.6874171 3.2332924
## 38 41.0539227 12.1718270 40.8752561 60.7276820 3.6727241 2.6625289
## 39 40.9050409 12.2171414 40.6889140 60.5926132 4.9914638 4.4685274
## 40 70.4928892 21.3597215 70.3627700 90.3751449 30.5139010 30.4576335
## 41 41.1713064 12.2351437 40.9222666 60.7476548 4.8897313 4.8277334
## 42 30.6948433 20.4642588 30.4696824 50.4617527 10.4330487 10.7908551
## 43 40.7772134 11.3715916 40.6012082 60.5823903 2.0839200 1.9998140
## 44 32.1706650 22.4066840 32.0127983 51.3308632 13.9057061 13.8671194
## 45 80.3051624 30.2365858 80.2237536 100.2594942 40.2413610 40.2884724
## 46 80.3044127 30.2651150 80.2099924 100.2580929 40.2298880 40.2879742
## 47 90.3033879 40.4269285 90.2089336 110.2574292 50.2484303 50.2547326
## 48 30.9900532 20.8758715 30.7122487 50.5896512 10.2296719 10.5384834
## 49 50.5991884 5.8035681 50.4252526 70.4622484 10.3204948 10.3017217
## 50 70.4010810 20.8864446 70.2523679 90.2957921 30.3744314 30.4326744
## 51 21.3187092 30.6675264 20.8894941 40.5525953 20.5282210 20.3703519
## 52 60.3743682 11.1844925 60.2493976 80.3266868 20.2895137 20.4633937
## 53 50.3252402 6.1601351 50.1677307 70.2242198 11.1828852 11.2528046
## 54 31.3596105 21.7477872 30.9714151 50.7589620 11.6932052 11.4486978
## 55 22.0498606 70.3411909 21.8589670 9.2203896 60.3085203 60.2444887
## 56 21.7241210 70.2962127 21.5437010 8.3598011 60.2897867 60.2334201
## 57 30.6460487 20.6725562 30.4172751 50.4124545 10.7794436 10.8789488
## 59 50.3950044 6.2236538 50.2038191 70.2513897 10.9108657 11.0045570
## 60 30.5755866 20.4786789 30.3567869 50.4026934 10.4638475 10.8455242
## 61 21.1632823 30.6108189 20.8991434 40.5727096 20.4967766 20.3492846
## 62 41.1996403 12.8459098 40.9542500 60.7596595 4.9453904 4.8923883
## 63 41.0824718 12.7540070 40.7921792 60.6767917 4.5579452 4.4666285
## 64 12.1998173 40.7116819 13.0661757 31.1785691 30.6057347 30.5999350
## 65 20.9388698 31.0021618 21.4279561 40.7464947 20.9708998 21.0495159
## 66 21.0655876 31.0190532 21.5451580 40.8284666 20.9716072 21.0370388
## 67 40.6986446 11.2988273 40.5699251 60.5449828 2.8076715 1.6998696
## 68 40.8569869 12.5072042 40.6129242 60.5308912 5.3008616 5.2150342
## 69 20.9433840 30.8107826 21.4666127 40.8105679 20.7427725 20.6189491
## 70 41.0745913 12.6112926 40.8538151 60.7096162 5.4543150 5.4511295
## 71 70.4613377 21.4616536 70.3426699 90.3513037 30.6460680 30.6355603
## 72 30.9891708 21.1833621 30.7146342 50.5496337 11.2045514 11.2934723
## 73 40.8653063 11.9792448 40.6151416 60.5755308 4.2119540 4.5996191
## 74 40.8813844 11.5042915 40.7270948 60.6551749 2.4897143 2.1608328
## 75 30.8337499 20.9866605 30.5335537 50.4687328 10.5176598 10.9482514
## 76 30.9242275 20.8991175 30.6448002 50.5059248 10.4517810 10.8144248
## 77 40.7670452 11.7241254 40.5666538 60.5416867 1.8207677 3.1782400
## 8 9 10 11 12 13
## 2
## 3
## 4
## 6
## 7
## 8
## 9 40.2011314
## 10 40.1865297 3.1790936
## 11 10.8086540 30.2064561 30.3678116
## 12 20.6757787 20.7017837 20.7745353 11.9722214
## 13 10.6791537 30.2201293 30.4092413 1.8869696 11.7765359
## 14 20.2033489 20.2950022 20.2327081 10.6085628 5.5800255 10.4823274
## 15 20.4228024 20.3306536 20.5144091 10.2214068 6.3819742 10.3019488
## 16 20.5757959 20.3052852 20.6321990 10.9966413 5.1866812 11.0673080
## 17 30.3794260 10.6062549 11.0850257 20.5185677 11.1948885 20.5518001
## 18 20.5713627 20.3725984 20.5319761 10.4794448 6.9560469 10.7179060
## 19 20.4189034 20.3242885 20.5017912 10.2262742 6.3679233 10.3048466
## 20 20.3747293 20.3891214 20.3043823 10.8583759 6.1306874 10.7445868
## 22 20.3903864 20.4196467 20.4017410 10.9225205 5.6674952 10.9907976
## 23 30.1803597 10.5357847 10.3877105 20.2178352 11.7146203 20.2292631
## 24 30.2052108 10.4630900 10.4382577 20.3482372 11.6140173 20.4031366
## 25 20.4434320 20.3270635 20.4669940 10.3306643 6.0642290 10.5093594
## 26 20.5714610 20.2239060 20.5185656 10.3901702 6.6278876 10.6237371
## 27 30.3278541 10.5823947 10.5714562 20.5185044 11.6178678 20.5857158
## 28 10.3856895 30.2387048 30.1391428 4.4302534 11.6703369 4.4411987
## 29 10.5468376 30.2918524 30.1397244 5.0491635 11.9038866 5.4934382
## 30 20.4247968 20.2743654 20.4846756 10.1551482 6.7687910 10.3111722
## 31 30.4604705 10.7595923 11.2163971 20.3152503 12.0989860 20.4637371
## 32 20.3396932 20.2476111 20.4403870 10.2274026 6.0806963 10.2433050
## 33 30.1482294 10.4708224 10.2778993 20.3438514 11.1296116 20.3560026
## 34 20.3930811 20.3278654 20.1828388 11.1041797 6.3442092 11.1777625
## 35 10.7290018 30.2795987 30.2649181 4.4138746 11.8511697 3.9660775
## 36 10.8089685 30.2020790 30.3518532 1.1694797 11.7509450 2.1384031
## 37 20.3638680 20.1603332 20.3384708 10.4773332 4.5898775 10.5171893
## 38 20.7023782 20.4108607 20.7062446 10.6299175 6.2722164 10.8538059
## 39 20.5439562 20.5869746 20.5838416 11.0488749 6.4184806 11.0820097
## 40 10.7190031 50.2707629 50.2482085 20.7372568 30.7162599 20.7648476
## 41 20.5390887 20.5762461 20.7452763 11.1337273 4.7409040 11.0254275
## 42 30.2043777 10.5000139 10.5528861 20.3254194 10.9245659 20.3554798
## 43 20.3375815 20.2891924 20.4218409 10.2676449 5.5244173 10.3325584
## 44 31.5259522 13.8811490 13.9171164 22.3654191 14.0288688 22.3493719
## 45 20.3359794 60.1601846 60.1499652 30.3826560 40.3209532 30.3471106
## 46 20.3014069 60.1498415 60.1382854 30.3568820 40.2875888 30.3239540
## 47 30.1021115 70.1712744 70.1525345 40.3142990 50.4446780 40.3206752
## 48 30.2383044 10.2441843 10.7041280 20.2565493 10.9750245 20.2324427
## 49 10.5960327 30.1346178 30.2379064 2.3034559 11.5368705 2.7181994
## 50 10.1551014 50.1702520 50.1539771 20.5470026 30.5191724 20.5084001
## 51 40.1748179 3.7021304 2.8265699 30.3752266 20.5981555 30.3948374
## 52 1.8166185 40.1886899 40.1590402 10.6663019 20.8522843 10.5837939
## 53 10.7268987 30.3502523 30.1877535 5.3586247 12.1410591 5.6619726
## 54 30.4488611 11.4049873 11.2427132 20.8319616 11.6184506 20.8765676
## 55 80.3440922 40.4565651 40.4591774 70.2366231 60.5425971 70.2581385
## 56 80.3324149 40.4306746 40.3833164 70.2461155 60.4736634 70.2694555
## 57 30.1967908 10.6633162 10.3562914 20.4345248 11.3273855 20.5036105
## 59 10.5718145 30.2318440 30.1879994 4.9511800 11.6453309 5.1902205
## 60 30.1751906 10.6200343 10.4225476 20.3409150 11.5689441 20.2878527
## 61 40.2487210 3.9810503 3.4756971 30.3458336 21.2534229 30.3832957
## 62 20.6949842 20.3866888 20.7640642 11.1042612 5.9833469 11.1480631
## 63 20.5743446 20.3512788 20.6220663 11.0043615 5.1564024 11.0744996
## 64 50.5037651 11.4122077 11.7347974 40.5537553 30.8674398 40.5575545
## 65 40.5370431 5.3606336 5.7871150 30.8256113 21.2234174 30.8212776
## 66 40.5302388 5.4278088 5.9445451 30.8100697 21.2144692 30.8048827
## 67 20.5361278 20.3871726 20.5165596 10.4170004 6.8954363 10.6270014
## 68 20.7047524 20.5943038 20.6143838 11.7940191 2.9224555 11.8821298
## 69 40.4426576 5.1489132 5.3430796 30.5642053 21.2493099 30.5982571
## 70 20.5548511 20.6940074 20.7304977 11.2934569 6.2699037 11.1797621
## 71 11.0112932 50.3810847 50.3086413 21.0410123 30.8745330 21.0625091
## 72 30.3288615 11.0819353 10.8645250 20.7099618 11.3947384 20.6569389
## 73 20.2424412 20.3635384 20.3811776 10.7376742 5.4633517 10.6202165
## 74 20.4252631 20.3421596 20.5514210 10.2533647 6.4202262 10.3120959
## 75 30.2516321 10.1024404 10.5304388 20.4274451 10.9072079 20.4211348
## 76 30.2341241 10.2913942 10.6282924 20.4494432 10.6150580 20.3925055
## 77 20.3262979 20.1187774 20.3973064 10.3770136 5.0878686 10.3569719
## 14 15 16 17 18 19
## 2
## 3
## 4
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15 3.7819620
## 16 5.3131224 4.3514505
## 17 11.2780466 10.9161820 10.1155045
## 18 4.3793659 2.1683159 4.4158874 10.8543217
## 19 3.7582028 0.1410861 4.3674316 10.9207397 2.2047304
## 20 2.2054422 4.8167433 6.4589911 11.7212372 5.1508267 4.7752392
## 22 4.3286709 4.0706267 2.9230640 10.3223245 3.6632861 4.0852704
## 23 10.1928356 10.2890513 11.2158586 4.9751865 10.4669044 10.2774371
## 24 10.5162553 10.6117916 10.4940037 3.4399217 10.5818202 10.6080394
## 25 3.6622162 1.9499394 4.6222295 10.9261337 1.5817521 1.9803271
## 26 4.4414086 2.5373558 3.5809519 10.5273560 2.1116577 2.5646660
## 27 10.5883141 10.7949054 11.1502520 4.6382435 10.4517457 10.7875271
## 28 10.3972401 11.0009242 11.7462864 20.8726081 11.1879975 10.9755631
## 29 10.8122608 11.1240551 11.5655782 20.7300266 11.1291779 11.1007687
## 30 3.4394912 1.6487151 4.2703291 10.8968447 1.8926696 1.6904433
## 31 10.9906352 10.3764937 11.1773249 5.0688044 10.2463060 10.3803296
## 32 3.5055701 2.0101566 3.4300559 10.5695895 3.2269527 2.0249557
## 33 10.2620618 10.6118367 10.8433899 4.0418861 10.6028237 10.6071462
## 34 2.8836995 5.1243544 4.8674224 11.0632572 4.9475352 5.1126878
## 35 10.1868657 11.2402519 11.7865408 20.9150893 11.3471602 11.2331661
## 36 10.7085478 10.1794264 10.9149707 20.4630514 10.4238122 10.1823591
## 37 3.2194201 2.8985525 4.0404350 10.7385622 3.8300800 2.8778768
## 38 5.4699518 2.4382560 3.6101851 10.6486887 2.4331917 2.4585807
## 39 4.6493900 4.4922895 4.9381902 11.0546766 4.3533418 4.4922895
## 40 30.3784368 30.4924936 30.5223058 40.3690889 30.4734279 30.4902087
## 41 5.4882341 4.1339302 3.0165500 10.4541677 4.6306446 4.1435492
## 42 10.2526915 10.8469408 11.1601993 4.8258078 10.9855332 10.8405160
## 43 3.2748046 1.0259759 4.1152423 10.8193287 2.3767556 1.0356311
## 44 13.7451307 14.0130983 14.0437562 9.8639207 13.9038040 14.0081257
## 45 40.1401186 40.2849458 40.4365469 50.3629687 40.3377377 40.2795102
## 46 40.1366183 40.2734852 40.4052650 50.3362609 40.3442055 40.2680481
## 47 50.1685163 50.2645187 50.3968825 60.3107110 50.2811027 50.2605585
## 48 10.6564180 10.3332387 10.4279947 2.7736552 10.5452369 10.3274581
## 49 10.4073364 10.3177342 10.6182811 20.2726782 10.3147366 10.3215920
## 50 30.2092981 30.4162170 30.4051137 40.2718117 30.4479087 30.4116356
## 51 20.3410481 20.4686734 20.3476362 10.5241133 20.3702818 20.4657558
## 52 20.0839324 20.3825111 20.7647163 30.5048074 20.5362997 20.3766508
## 53 10.8631705 11.3005943 12.1558583 21.0961651 11.4882948 11.2653105
## 54 11.4654301 11.5016295 10.9928220 4.2853832 11.4937210 11.5042252
## 55 60.2831475 60.2521197 60.3153589 50.3747846 60.2018232 60.2536064
## 56 60.2505693 60.2608727 60.3438237 50.4001726 60.2150949 60.2612031
## 57 10.2036154 11.0166018 11.2761330 5.1125075 11.0439641 11.0075639
## 59 10.8369641 11.1026735 11.5691194 20.7293139 11.1921755 11.0703554
## 60 10.0375151 10.7298894 11.5684265 5.6797056 10.9890369 10.7150381
## 61 20.2516326 20.4723205 20.7255678 11.2721731 20.2994456 20.4674584
## 62 5.8348769 4.4432078 1.2889317 10.2033548 4.3690307 4.4566274
## 63 5.3248471 4.3751717 1.4263597 10.0144361 4.2554842 4.3865309
## 64 30.6690461 30.6448170 30.5932288 20.8489346 30.5408459 30.6425435
## 65 20.9021686 21.1501165 20.9462177 11.7197667 20.9965755 21.1425860
## 66 20.9057201 21.1312270 20.8898526 11.6424683 20.9758750 21.1255743
## 67 3.5646599 2.6288594 5.5628130 11.3590241 2.1861960 2.6439597
## 68 5.3394294 6.0237162 4.5925313 10.8769677 5.8656783 6.0253682
## 69 20.7489331 20.6967894 20.8368010 11.5444805 20.5664365 20.6939039
## 70 5.0052748 4.9507909 4.5936033 11.0220826 5.2170589 4.9608323
## 71 30.5683487 30.6082536 30.8800593 40.6475006 30.7020326 30.5971961
## 72 10.9059633 11.1925653 11.2855173 5.0761699 11.3430394 11.1836696
## 73 3.3210779 3.8601005 3.2140536 10.5104596 4.3897380 3.8601005
## 74 3.7684315 0.7289376 4.2311738 10.8808891 1.8779397 0.8189549
## 75 10.6092015 10.9055812 10.4454246 3.0880522 11.0022072 10.8955377
## 76 10.6706481 10.7028375 10.4662321 2.8423004 10.8540177 10.6935344
## 77 3.2610765 2.4849559 3.0252822 10.4385514 3.1743838 2.4849559
## 20 22 23 24 25 26
## 2
## 3
## 4
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
## 17
## 18
## 19
## 20
## 22 5.3888718
## 23 10.4694830 10.7707770
## 24 10.9822985 10.2253917 2.8967552
## 25 4.2166020 3.9514119 10.3372311 10.6430047
## 26 5.2311537 3.8169667 10.6255878 10.5993051 2.4872770
## 27 10.8049461 10.7686111 3.1071878 3.4331449 10.4466461 10.6757146
## 28 10.3173154 11.2911858 20.2160328 20.4482619 10.8739066 11.2634293
## 29 10.8722867 11.0888925 20.3347200 20.4175193 10.9733866 11.0882561
## 30 4.4475747 3.9082141 10.3150476 10.4820907 1.9056395 2.0824300
## 31 11.3840715 11.2195428 3.5575629 4.3746363 10.2481668 10.3664060
## 32 4.7533420 3.4011537 10.4026534 10.4145858 3.1217426 2.4272401
## 33 10.5212170 10.3947389 2.2561889 2.2216889 10.4615570 10.7680987
## 34 4.0444587 3.8656093 10.6264989 10.3699291 4.8875018 4.5708705
## 35 10.2025296 11.3120078 20.3013809 20.4559941 11.0461699 11.3823113
## 36 10.9149282 10.8236530 20.2212399 20.3509698 10.2774104 10.4363464
## 37 4.1564832 4.5074537 10.4298596 10.6984728 3.0165059 2.9496226
## 38 6.3262450 4.0926494 10.8544111 10.8337907 2.7950696 2.7024242
## 39 5.2635405 3.7917905 10.8939973 10.7556991 4.2651909 4.7424744
## 40 30.4742268 30.3576852 40.2963717 40.2555212 30.4336543 30.4921212
## 41 6.5507582 3.0584476 11.1716926 10.7964580 4.6060143 4.7852639
## 42 10.3828922 10.9953954 3.0972754 3.7925924 10.6157288 10.9359885
## 43 4.4296868 3.8170800 10.2274847 10.5271423 1.6896420 2.6982022
## 44 14.0191024 13.8620948 9.5113157 9.4612291 13.7914959 14.1128413
## 45 40.1398093 40.3331185 50.1371882 50.1973376 40.2239412 40.4168330
## 46 40.1363090 40.3137067 50.1343859 50.1865410 40.2234422 40.4014358
## 47 50.1741298 50.2852587 60.1504576 60.1939011 50.2247555 50.2984997
## 48 11.0234733 10.6066740 3.1486860 3.2950464 10.4538868 10.3712445
## 49 10.7110863 10.4395383 20.1739586 20.1611283 10.2306082 10.2006006
## 50 30.2556855 30.2497351 40.2110602 40.1721656 30.3727521 30.4216535
## 51 20.4986909 20.0850564 10.5922430 10.2644001 20.3648549 20.4419930
## 52 20.2098618 20.5527004 30.1057045 30.2290995 20.3819194 20.5315211
## 53 10.7673033 11.7213109 20.3650543 20.6384951 11.2112333 11.5249118
## 54 11.8757749 10.6718100 5.5113200 4.3159267 11.4435140 11.4081595
## 55 60.3672148 60.2234061 50.2817469 50.2518782 60.2408830 60.2764005
## 56 60.3128336 60.2452221 50.2526215 50.2592700 60.2298137 60.2923635
## 57 10.4516698 10.8486782 2.9299664 3.1640810 10.7970202 11.0647960
## 59 10.7551690 11.3224552 20.3713063 20.5322055 10.9524385 11.0928186
## 60 10.1743974 11.1250407 1.8602593 3.7044776 10.6811537 11.0304995
## 61 20.3867947 20.3926258 10.4350706 10.4589963 20.3541267 20.4139962
## 62 6.9153288 3.1027580 11.3574709 10.6081861 4.8694498 3.8234419
## 63 6.2947863 2.5950069 11.2187564 10.5925634 4.4533248 3.3303554
## 64 30.7916655 30.5881041 20.9069653 20.8235640 30.5928356 30.5842322
## 65 21.0703350 20.9379212 11.7857858 11.5632322 21.0391942 20.9774346
## 66 21.1097770 20.8937998 11.8083349 11.5176793 21.0267109 20.9545143
## 67 4.0079188 4.8934790 10.3529519 10.8379974 1.4356007 2.9043465
## 68 6.0236055 4.8546102 11.5026912 11.2131614 5.2036442 5.4833929
## 69 20.9229017 20.6935218 11.1899951 11.1800155 20.6211759 20.7052084
## 70 6.1606797 3.8127634 11.1475619 10.8083816 5.2557750 5.3851256
## 71 30.6260353 30.7294026 40.3660356 40.4712052 30.6203150 30.7616607
## 72 11.2327602 10.9072293 4.2880031 4.2163806 11.2004855 11.4436623
## 73 4.8356345 2.1429316 10.5993103 10.2257823 4.3663319 4.1408353
## 74 4.9144580 3.8767047 10.3209221 10.5793416 1.8774537 2.5239176
## 75 10.8663108 10.7198093 3.8994890 3.0519238 10.8523070 10.6531132
## 76 11.0224210 10.6223303 3.6842607 3.4699111 10.7172824 10.6861109
## 77 4.5084903 3.6183965 10.4427530 10.4688105 2.9216147 2.2289181
## 27 28 29 30 31 32
## 2
## 3
## 4
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
## 17
## 18
## 19
## 20
## 22
## 23
## 24
## 25
## 26
## 27
## 28 20.4082366
## 29 20.4546393 2.5780964
## 30 10.6172306 10.9508989 11.1141524
## 31 3.1727863 20.6600443 20.7014984 10.2810462
## 32 10.9948392 11.0448849 11.0629177 2.2105063 10.7588136
## 33 2.5939050 20.2414808 20.3565015 10.5282516 4.1636569 10.5972877
## 34 10.6566140 10.8217326 10.8187618 4.3361102 11.3219705 4.2179151
## 35 20.4122330 3.3777737 5.1271200 10.9137945 20.7391579 11.1091789
## 36 20.4968307 4.3754553 5.0261150 10.2242129 20.3273968 10.2767639
## 37 10.7185902 10.7809067 10.8729155 3.1556289 10.5658819 2.6876432
## 38 10.9290840 11.5874986 11.5265613 2.9865605 10.4281400 3.3528368
## 39 11.0151150 11.3160128 11.3658635 4.4079726 11.3362525 4.4277894
## 40 40.3063023 20.5315605 20.4780802 30.4488025 40.4353298 30.4496460
## 41 11.3577891 11.7568892 11.7791625 4.7893559 11.4576457 3.9317673
## 42 3.3205981 20.2653280 20.4862676 10.7122154 4.2901450 10.8081057
## 43 10.6278451 10.8515991 10.9859900 1.9145848 10.3409262 2.1615607
## 44 9.0194235 22.2905740 22.4723314 13.9146501 9.5821014 14.1430882
## 45 50.1741122 30.1693217 30.3745236 40.2878791 50.2759307 40.3414200
## 46 50.1937092 30.1593412 30.3434515 40.2853881 50.2883046 40.3100642
## 47 60.1897503 40.0848349 40.0981708 50.2441049 60.2638758 50.2683388
## 48 3.6775612 20.4763830 20.5400312 10.4548860 3.6350842 10.2787435
## 49 20.2505725 4.1493664 4.2068914 10.1655927 20.2544945 10.2128596
## 50 40.2591695 20.2305649 20.2472974 30.3726201 40.4317948 30.3192444
## 51 10.4295148 30.3052922 30.2703293 20.4455711 11.1569173 20.4066280
## 52 30.2793159 10.2490546 10.5233788 20.3419914 30.3750557 20.3391595
## 53 20.5913044 1.8129734 2.0421622 11.3313911 20.7968320 11.3940299
## 54 5.7385264 20.9505691 20.7939258 11.5159250 6.5950179 11.1723703
## 55 50.2559350 70.4002666 70.4619894 60.2220346 50.3233653 60.2792247
## 56 50.2180995 70.3528908 70.4212704 60.2375504 50.3121137 60.2989853
## 57 3.1549577 20.2609051 20.3824382 10.8004214 4.6966724 10.8949528
## 59 20.4448953 2.2306949 1.7818704 11.1342762 20.6548493 11.1223956
## 60 3.6185130 20.1587173 20.3903255 10.6541444 4.6140776 10.7082715
## 61 10.2163125 30.2892623 30.3203194 20.3099466 10.8003559 20.4937879
## 62 11.2687113 11.9786691 11.8396098 4.4169536 11.2737338 3.7566734
## 63 11.0851911 11.7330040 11.4567447 4.3236002 11.2068472 3.4234725
## 64 20.6192967 40.6205023 40.6940098 30.5947645 20.8404494 30.6839013
## 65 11.1526734 30.6987951 30.7672617 21.0103269 11.8231295 21.1126831
## 66 11.1668836 30.7323057 30.7951174 20.9824747 11.7898406 21.0824792
## 67 10.4481197 10.8680241 11.0326267 2.0885064 10.2108107 3.7261206
## 68 11.0034680 11.6446908 11.5003486 6.0066230 11.4760132 5.7507762
## 69 10.8952821 30.5733917 30.6332368 20.6418883 11.2179367 20.8037855
## 70 11.3911106 11.6942545 11.7754489 5.0011439 11.7061127 4.4846350
## 71 40.4788604 20.4899011 20.4602446 30.6840996 40.5592207 30.6682765
## 72 4.8407203 20.5932295 20.6786326 11.2840882 5.9652204 11.0975021
## 73 10.9784877 11.0916529 11.1293377 3.7559511 11.3341560 2.6252803
## 74 10.7051957 11.0785441 11.2347480 1.4589463 10.3339216 2.1916226
## 75 3.7333339 20.4324103 20.4954455 10.7861452 4.6242085 10.6108905
## 76 3.5278425 20.4728076 20.5522866 10.7923955 4.3835580 10.5846869
## 77 10.6127703 10.9389686 11.0423818 2.4313550 10.5012767 1.9267315
## 33 34 35 36 37 38
## 2
## 3
## 4
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
## 17
## 18
## 19
## 20
## 22
## 23
## 24
## 25
## 26
## 27
## 28
## 29
## 30
## 31
## 32
## 33
## 34 10.4278885
## 35 20.2575561 10.5565098
## 36 20.3005573 11.2686335 4.7441654
## 37 10.5527491 4.2610888 10.9915755 10.4977094
## 38 10.8918715 6.0730527 11.9700217 10.4421336 3.7691925
## 39 10.7158682 5.0755583 11.3545667 10.9601083 5.0214269 4.9254686
## 40 40.2400218 30.4021538 20.7196849 20.7404382 30.4749624 30.6097904
## 41 10.8160909 6.0680845 11.9812778 10.8448667 4.6905563 3.5346341
## 42 2.4650027 10.6265305 20.1936697 20.3386035 10.3880609 11.2400667
## 43 10.4317631 4.7179557 11.0656501 10.2207065 2.2668204 2.6052280
## 44 9.0770833 13.9419044 22.1917786 22.3191344 13.8923032 14.0523663
## 45 50.0988966 40.3302787 30.2371625 30.3407213 40.2542169 40.4115683
## 46 50.0960922 40.3208222 30.2497715 30.3149116 40.2287806 40.4001436
## 47 60.1512141 50.2497668 40.2684217 40.3226521 50.2472908 50.3861500
## 48 3.0329494 10.9617903 20.5800038 20.1968844 10.1955715 10.3848421
## 49 20.1836717 10.5760524 3.9025846 2.6566611 10.3357281 10.6097554
## 50 40.1413985 30.2544138 20.4117976 20.5509318 30.3442207 30.5749927
## 51 10.1710321 20.2791156 30.3505543 30.3229151 20.4294881 20.4989250
## 52 30.1573113 20.3144308 10.4332764 10.7855323 20.2958573 20.7769774
## 53 20.4668941 11.1780818 5.0089066 5.2984827 11.0428160 11.8559737
## 54 4.5992211 11.2873213 21.0382426 20.7788575 11.3892949 11.5260922
## 55 50.2501101 60.2943107 70.2742538 70.2219178 60.3473712 60.2649123
## 56 50.2182960 60.2737941 70.2443812 70.2279957 60.3130456 60.2825473
## 57 2.2396203 10.2765732 20.1855960 20.4835552 10.6400058 11.5141163
## 59 20.4009500 11.0818591 4.9868820 4.8335278 10.7467472 11.4419573
## 60 2.6534513 10.5284249 20.1181285 20.3882283 10.5166321 11.4846472
## 61 10.4304205 20.2072013 30.2139767 30.3788717 20.5374031 20.6902919
## 62 11.0082975 5.4871793 12.0195564 10.9644907 4.7749323 3.4440348
## 63 10.8528085 4.8773623 11.8007175 10.9209261 4.0234847 3.6496662
## 64 20.7467845 30.6562853 40.5480067 40.5117446 30.6327512 30.5730866
## 65 11.4227247 20.7723838 30.6297365 30.8101065 20.9446564 21.1287048
## 66 11.4255993 20.7685653 30.6370688 30.8013785 20.9460137 21.0997664
## 67 10.6389673 4.8345396 10.9266082 10.4803092 3.3826425 3.8625870
## 68 10.9243910 5.2362077 11.7461975 11.6982636 4.1679632 5.6751214
## 69 11.0287684 20.7896061 30.5928450 30.5173916 20.7793744 20.6913388
## 70 10.8958394 5.2678113 11.5877056 11.2121731 5.3951215 5.3575079
## 71 40.4002614 30.7377829 21.1176613 20.9741298 30.5938449 30.7654123
## 72 3.6745932 11.1222490 20.6709897 20.6337815 11.0888626 11.4622770
## 73 10.4074383 3.3448849 10.9416829 10.7526056 3.9846600 4.7182264
## 74 10.5733361 5.0377364 11.1851060 10.2122099 3.1493897 2.4006170
## 75 3.0671410 10.5635584 20.4319550 20.4225538 10.3565023 10.9981862
## 76 2.8567849 10.8673316 20.5478103 20.3722888 10.3212680 10.7060429
## 77 10.4858174 3.9543442 10.9368615 10.4013943 1.7703685 3.1830544
## 39 40 41 42 43 44
## 2
## 3
## 4
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
## 17
## 18
## 19
## 20
## 22
## 23
## 24
## 25
## 26
## 27
## 28
## 29
## 30
## 31
## 32
## 33
## 34
## 35
## 36
## 37
## 38
## 39
## 40 30.1235914
## 41 4.7141534 30.5636276
## 42 11.1279419 40.3168052 11.3250452
## 43 4.3007582 30.4372104 3.8845175 10.5816813
## 44 14.0688901 41.2620981 14.0221160 9.1892288 13.7973556
## 45 40.3305763 11.2512090 40.3705222 50.1048347 40.2208774 50.8795434
## 46 40.3211198 11.2172646 40.3431693 50.1004282 40.2093985 50.8988688
## 47 50.3109740 20.4113730 50.4076951 60.1689865 50.2351915 60.8522732
## 48 10.9577841 40.3427510 10.4979431 3.4213041 10.2514233 9.4728538
## 49 10.7595279 20.5107974 10.9263727 20.2378646 10.2512075 22.1312477
## 50 30.3812583 3.6759380 30.4413694 40.1945458 30.3573280 41.1989274
## 51 20.3733116 50.2022941 20.3418215 10.6678478 20.3681476 13.6199681
## 52 20.6123390 10.8877867 20.8138536 30.1469061 20.3023060 31.5325737
## 53 11.7473143 20.6738816 12.2364317 20.5182951 11.1741358 22.5707245
## 54 10.3142344 40.1470045 11.0460027 5.5904509 11.3264107 10.3643302
## 55 60.3528820 90.3830414 60.3034073 50.3530489 60.2495002 51.0063920
## 56 60.3580635 90.3774303 60.3268621 50.2916090 60.2416560 50.9679723
## 57 11.1021398 40.2782823 11.5364031 1.8145949 10.7555275 9.2772724
## 59 11.4633883 20.5329351 11.7402218 20.4237676 10.9643392 22.4088771
## 60 11.1620625 40.3217179 11.6267274 2.4049623 10.5667823 9.5693075
## 61 20.5415070 50.2457945 20.8998417 10.7626103 20.4311469 13.7184521
## 62 5.0664506 30.5927139 2.8792062 11.4775667 4.4313587 14.1517404
## 63 4.7541578 30.4907873 3.0220436 11.1662613 4.1403170 14.0641507
## 64 30.8524400 60.5372569 30.6626815 20.9021330 30.6070115 22.3959885
## 65 21.3467728 50.5678916 21.1911589 11.5673732 21.0478447 14.1951280
## 66 21.3214943 50.5594317 21.1413956 11.5760545 21.0288633 14.1595638
## 67 4.8902064 30.4910037 5.8864078 10.6613916 2.4847603 13.9077712
## 68 5.9288440 30.5940363 5.1891716 10.7844031 5.1269147 13.8072921
## 69 20.8588049 50.4235012 20.8691946 11.4037839 20.6535153 14.0531595
## 70 1.9890042 30.1900381 4.2179835 11.3706815 4.7445156 14.1762976
## 71 30.4071963 3.4868273 30.7937181 40.4701682 30.5617910 41.4540555
## 72 10.2396178 40.1278729 11.0880542 4.5626701 11.0124301 9.8578596
## 73 4.1323680 30.3638046 3.4150373 10.8052103 3.5917229 13.9135462
## 74 4.3883833 30.4828970 4.0168076 10.8433440 1.2160278 13.9173746
## 75 11.1506467 40.3273831 10.9855897 2.9562298 10.7206249 9.4765069
## 76 11.0398516 40.3345828 10.5372509 3.1772896 10.5143154 9.2696485
## 77 4.5417352 30.4232315 3.9127994 10.5162752 2.1682638 13.7890442
## 45 46 47 48 49 50
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## 46 0.6644937
## 47 10.8308052 10.8104019
## 48 50.2078692 50.1922766 60.2249913
## 49 30.3288754 30.3110025 40.2466307 20.1789027
## 50 10.7547807 10.6817510 20.1264323 40.2401452 20.3450597
## 51 60.1539711 60.1476314 70.1711863 10.5705012 30.1770161 50.1310895
## 52 20.3299921 20.3112259 30.1200612 30.2736886 10.5129977 10.3801594
## 53 30.3217951 30.3012687 40.1189723 20.6718259 5.1207494 20.3990889
## 54 50.3865148 50.3550367 60.3426366 5.0237867 20.5644170 40.3278669
## 55 100.2314913 100.2413027 110.3385837 50.3256160 70.2081966 90.3353048
## 56 100.2016334 100.2114477 110.3229534 50.3164207 70.2114181 90.3272991
## 57 50.1312840 50.1292821 60.1581433 4.1805868 20.2633217 40.1712089
## 59 30.2992693 30.2760761 40.0861741 20.4495111 4.3080329 20.2534275
## 60 50.1146113 50.1118078 60.1446934 3.9096663 20.2672242 40.1929831
## 61 60.1910607 60.2073974 70.1632593 10.9730569 30.1720159 50.1979814
## 62 40.4964329 40.4731324 50.4477687 10.5268484 10.7902062 30.4847491
## 63 40.4612364 40.4279878 50.3758111 10.4256399 10.5349619 30.3687765
## 64 70.3320984 70.3460800 80.3912726 20.7202910 40.4384344 60.4380578
## 65 60.3668796 60.3831687 70.3630083 11.5350098 30.6047358 50.4218565
## 66 60.3719352 60.3882229 70.3658416 11.5248163 30.5832565 50.4182036
## 67 40.2582777 40.2687457 50.2303283 10.7313178 10.3275820 30.4405445
## 68 40.3732318 40.3518498 50.4028162 10.9523908 11.0815182 30.4896450
## 69 60.2922005 60.3065130 70.3057465 11.2002692 30.4458016 50.3852702
## 70 40.4110293 40.3956299 50.3905952 11.0130307 11.0005697 30.4322156
## 71 11.4729576 11.4256268 20.4440561 40.4573660 20.9659051 4.9738589
## 72 50.2389984 50.2266123 60.2750082 4.3523016 20.5476136 40.2929414
## 73 40.2931446 40.2677328 50.2595795 10.5235297 10.4132718 30.2028111
## 74 40.2870992 40.2836118 50.2722252 10.3469485 10.3008465 30.4174361
## 75 50.1934257 50.1762286 60.2161592 2.4509208 20.2358284 40.1914017
## 76 50.1844945 50.1720950 60.2284907 1.4303962 20.2752428 40.2167549
## 77 40.2743211 40.2588694 50.2485755 10.0900555 10.1952303 30.2972652
## 51 52 53 54 55 56
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## 52 40.2289491
## 53 30.4434462 10.5600256
## 54 10.7704332 30.5652227 21.1463119
## 55 40.3312676 80.3223345 70.5192829 50.5543921
## 56 40.3055042 80.2988792 70.4608276 50.5546193 1.4171683
## 57 10.5267831 30.1287532 20.4677599 5.3535671 50.3335247 50.2778623
## 59 30.3297720 10.5470598 1.9049468 20.9332041 70.4875749 70.4419257
## 60 10.8039639 30.0639567 20.3598208 5.9955050 50.3700401 50.3146678
## 61 3.3770007 40.1854817 30.4236728 11.6146126 40.2990701 40.2841277
## 62 20.4131506 20.9179387 12.4168793 11.1890517 60.2928424 60.3405989
## 63 20.3008168 20.7641729 12.1283714 10.8940462 60.3227507 60.3500576
## 64 11.4288628 50.5077669 40.7678451 21.5043828 30.5198800 30.5044847
## 65 5.5512023 40.5393243 30.8582740 12.7800764 40.5860690 40.5525639
## 66 5.5249588 40.5397141 30.9069895 12.7175535 40.5706764 40.5496809
## 67 20.5289133 20.3627141 11.1741270 11.8561507 60.2689174 60.2501220
## 68 20.4094268 20.7913174 12.0051183 11.3293101 60.4477891 60.3840556
## 69 4.8659136 40.4442411 30.7127947 12.1220218 40.4381807 40.4225243
## 70 20.4503396 20.7051662 12.2098928 10.3123532 60.3766949 60.4006980
## 71 50.3709040 11.1346412 20.4312556 40.4034502 90.5393128 90.5086178
## 72 10.7159346 30.3806561 20.8070561 2.7689288 50.4773521 50.4461553
## 73 20.2090094 20.3492874 11.5831615 10.8362693 60.2595732 60.2807336
## 74 20.4413567 20.3991127 11.4522483 11.4989244 60.2226642 60.2381798
## 75 10.5590035 30.2694690 20.6397233 5.0471872 50.3922426 50.3642346
## 76 10.4447917 30.2958897 20.6910703 4.9294372 50.3521705 50.3248324
## 77 20.3479529 20.3238304 11.3262475 11.2572096 60.2755559 60.2774579
## 57 59 60 61 62 63
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## 59 20.4403584
## 60 2.2871814 20.3863557
## 61 10.4743865 30.3723043 10.5629634
## 62 11.6043977 11.8082207 11.8326131 20.7690039
## 63 11.2814269 11.4554551 11.5677950 20.6896759 1.9474896
## 64 20.9628438 40.6477395 21.0484761 11.4715297 30.5724477 30.6025962
## 65 11.5440611 30.7069251 11.8127785 5.3874252 20.9888407 20.9556230
## 66 11.5464965 30.7413112 11.8519748 5.3803839 20.9303869 20.9011881
## 67 10.7816996 11.0135699 10.6005612 20.2991716 5.8543787 5.4344033
## 68 10.9586060 11.4588342 11.4690717 20.8641032 5.5589061 4.3763434
## 69 11.4043337 30.6227229 11.4969321 4.7892821 20.8265365 20.8499793
## 70 11.3111905 11.9015962 11.4097555 20.7193905 4.6840681 4.6183797
## 71 40.4581458 20.4362250 40.4106037 50.4242987 30.9493547 30.8716567
## 72 4.5101306 20.7147228 4.5676284 11.2406259 11.4329870 11.2824004
## 73 10.6744102 11.2919946 10.7615501 20.4270338 3.5879549 3.2113682
## 74 11.0012443 11.2245782 10.7648395 20.4222737 4.2503078 4.2832281
## 75 3.4435708 20.4179615 3.8391171 10.9049922 10.6868952 10.5322870
## 76 3.8899766 20.4478077 4.0144818 11.0004661 10.6188629 10.4628712
## 77 10.7080182 10.9254628 10.6333808 20.4125463 3.5068911 3.0464809
## 64 65 66 67 68 69
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## 65 10.2642818
## 66 10.2649270 0.5620719
## 67 30.6557311 21.0747115 21.0704077
## 68 30.7300865 20.9913224 20.9678151 5.8438750
## 69 10.2639774 2.9554482 2.9732413 20.6888682 21.0250133
## 70 30.9027697 21.4008548 21.3506480 5.9677984 6.1735751 20.9791264
## 71 60.6882368 50.7383093 50.7536872 30.6717792 30.8868711 50.5453507
## 72 21.2632593 12.3594974 12.3648636 11.4814279 11.4234704 11.6943480
## 73 30.6603301 20.9679209 20.9214327 5.0507272 5.2700319 20.7984113
## 74 30.5960038 21.0826786 21.0549221 2.5661766 5.9849499 20.6431947
## 75 20.7709111 11.2984965 11.3002856 11.0408835 10.7429135 11.3752011
## 76 20.6773536 11.3043250 11.3043525 11.0225480 10.6520948 11.2088724
## 77 30.5186240 20.7996289 20.7768628 3.4358284 4.6436376 20.6545243
## 70 71 72 73 74 75
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## 71 30.5069612
## 72 10.2617177 40.2505521
## 73 3.5960035 30.6889414 10.8391717
## 74 4.7744461 30.6482048 11.1854611 3.7507107
## 75 11.2271456 40.5135120 4.6105246 10.5897203 10.9110359
## 76 11.0364478 40.4647947 4.1425363 10.5524355 10.6892327 2.0239392
## 77 4.6347055 30.6447651 11.0324001 3.0461601 2.4382643 10.2913306
## 76
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## 77 10.2315835fviz_cluster(km2, data = cereals_k)
dist_cereals_model2 <-fviz_silhouette(silhouette(km2$cluster, dist_cereals_k))## cluster size ave.sil.width
## 1 1 13 0.31
## 2 2 8 0.58
## 3 3 53 0.65dist_cereals_model2