winequality <- read.csv("C:/Users/Jaswanth/Downloads/winequality-red.csv")
attach(winequality)
dim(winequality)
## [1] 1599 12
library(psych)
describe(winequality)
str(winequality)
## 'data.frame': 1599 obs. of 12 variables:
## $ fixed.acidity : num 7.4 7.8 7.8 11.2 7.4 7.4 7.9 7.3 7.8 7.5 ...
## $ volatile.acidity : num 0.7 0.88 0.76 0.28 0.7 0.66 0.6 0.65 0.58 0.5 ...
## $ citric.acid : num 0 0 0.04 0.56 0 0 0.06 0 0.02 0.36 ...
## $ residual.sugar : num 1.9 2.6 2.3 1.9 1.9 1.8 1.6 1.2 2 6.1 ...
## $ chlorides : num 0.076 0.098 0.092 0.075 0.076 0.075 0.069 0.065 0.073 0.071 ...
## $ free.sulfur.dioxide : num 11 25 15 17 11 13 15 15 9 17 ...
## $ total.sulfur.dioxide: num 34 67 54 60 34 40 59 21 18 102 ...
## $ density : num 0.998 0.997 0.997 0.998 0.998 ...
## $ pH : num 3.51 3.2 3.26 3.16 3.51 3.51 3.3 3.39 3.36 3.35 ...
## $ sulphates : num 0.56 0.68 0.65 0.58 0.56 0.56 0.46 0.47 0.57 0.8 ...
## $ alcohol : num 9.4 9.8 9.8 9.8 9.4 9.4 9.4 10 9.5 10.5 ...
## $ quality : int 5 5 5 6 5 5 5 7 7 5 ...
table(fixed.acidity)
## fixed.acidity
## 4.6 4.7 4.9 5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6 6.1
## 1 1 1 6 4 6 4 5 1 14 2 4 9 13 16
## 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7 7.1 7.2 7.3 7.4 7.5 7.6
## 20 14 25 17 37 28 46 38 50 57 67 44 44 52 46
## 7.7 7.8 7.9 8 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 9 9.1
## 49 53 42 42 26 45 40 26 19 27 24 34 33 26 29
## 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 10 10.1 10.2 10.3 10.4 10.5 10.6
## 16 22 17 14 17 9 15 26 23 10 19 11 21 12 14
## 10.7 10.8 10.9 11 11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9 12 12.1
## 10 10 8 3 9 5 7 5 13 12 3 3 12 7 1
## 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 13 13.2 13.3 13.4 13.5 13.7 13.8
## 4 5 4 7 4 4 5 2 3 3 3 1 1 2 1
## 14 14.3 15 15.5 15.6 15.9
## 1 1 2 2 2 1
table(volatile.acidity)
## volatile.acidity
## 0.12 0.16 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 0.26 0.27
## 3 2 10 2 3 6 6 5 13 7 16 14
## 0.28 0.29 0.295 0.3 0.305 0.31 0.315 0.32 0.33 0.34 0.35 0.36
## 23 16 1 16 2 30 2 23 20 30 22 38
## 0.365 0.37 0.38 0.39 0.395 0.4 0.41 0.415 0.42 0.43 0.44 0.45
## 2 24 35 35 2 37 33 3 31 43 23 22
## 0.46 0.47 0.475 0.48 0.49 0.5 0.51 0.52 0.53 0.54 0.545 0.55
## 31 21 2 24 35 46 24 33 29 31 5 20
## 0.56 0.565 0.57 0.575 0.58 0.585 0.59 0.595 0.6 0.605 0.61 0.615
## 34 1 28 3 38 3 39 1 47 3 27 6
## 0.62 0.625 0.63 0.635 0.64 0.645 0.65 0.655 0.66 0.665 0.67 0.675
## 24 3 29 9 27 12 16 7 26 3 23 3
## 0.68 0.685 0.69 0.695 0.7 0.705 0.71 0.715 0.72 0.725 0.73 0.735
## 12 11 23 7 10 6 3 12 5 9 6 8
## 0.74 0.745 0.75 0.755 0.76 0.765 0.77 0.775 0.78 0.785 0.79 0.795
## 11 5 6 3 5 5 6 4 10 8 2 2
## 0.8 0.805 0.81 0.815 0.82 0.825 0.83 0.835 0.84 0.845 0.85 0.855
## 3 1 2 3 5 1 4 4 8 1 2 3
## 0.86 0.865 0.87 0.875 0.88 0.885 0.89 0.895 0.9 0.91 0.915 0.92
## 2 1 4 2 5 5 1 1 3 3 4 1
## 0.935 0.95 0.955 0.96 0.965 0.975 0.98 1 1.005 1.01 1.02 1.025
## 2 1 1 3 3 1 3 3 1 1 4 1
## 1.035 1.04 1.07 1.09 1.115 1.13 1.18 1.185 1.24 1.33 1.58
## 1 3 1 1 1 1 1 1 1 2 1
table(citric.acid)
## citric.acid
## 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 0.13 0.14
## 132 33 50 30 29 20 24 22 33 30 35 15 27 18 21
## 0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29
## 19 9 16 22 21 25 33 27 25 51 27 38 20 19 21
## 0.3 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.4 0.41 0.42 0.43 0.44
## 30 30 32 25 24 13 20 19 14 28 29 16 29 15 23
## 0.45 0.46 0.47 0.48 0.49 0.5 0.51 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59
## 22 19 18 23 68 20 13 17 14 13 12 8 9 9 8
## 0.6 0.61 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 0.7 0.71 0.72 0.73 0.74
## 9 2 1 10 9 7 14 2 11 4 2 1 1 3 4
## 0.75 0.76 0.78 0.79 1
## 1 3 1 1 1
table(residual.sugar)
## residual.sugar
## 0.9 1.2 1.3 1.4 1.5 1.6 1.65 1.7 1.75 1.8 1.9 2 2.05 2.1 2.15
## 2 8 5 35 30 58 2 76 2 129 117 156 2 128 2
## 2.2 2.25 2.3 2.35 2.4 2.5 2.55 2.6 2.65 2.7 2.8 2.85 2.9 2.95 3
## 131 1 109 1 86 84 1 79 1 39 49 1 24 1 25
## 3.1 3.2 3.3 3.4 3.45 3.5 3.6 3.65 3.7 3.75 3.8 3.9 4 4.1 4.2
## 7 15 11 15 1 2 8 1 4 1 8 6 11 6 5
## 4.25 4.3 4.4 4.5 4.6 4.65 4.7 4.8 5 5.1 5.15 5.2 5.4 5.5 5.6
## 1 8 4 4 6 2 1 3 1 5 1 3 1 8 6
## 5.7 5.8 5.9 6 6.1 6.2 6.3 6.4 6.55 6.6 6.7 7 7.2 7.3 7.5
## 1 4 3 4 4 3 2 3 2 2 2 1 1 1 1
## 7.8 7.9 8.1 8.3 8.6 8.8 8.9 9 10.7 11 12.9 13.4 13.8 13.9 15.4
## 2 3 2 3 1 2 1 1 1 2 1 1 2 1 2
## 15.5
## 1
table(chlorides)
## chlorides
## 0.012 0.034 0.038 0.039 0.041 0.042 0.043 0.044 0.045 0.046 0.047 0.048
## 2 1 2 4 4 3 1 5 4 4 4 8
## 0.049 0.05 0.051 0.052 0.053 0.054 0.055 0.056 0.057 0.058 0.059 0.06
## 8 12 1 10 5 13 8 9 10 14 17 16
## 0.061 0.062 0.063 0.064 0.065 0.066 0.067 0.068 0.069 0.07 0.071 0.072
## 11 24 22 20 23 32 27 30 21 35 47 24
## 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.08 0.081 0.082 0.083 0.084
## 35 55 45 51 47 51 43 66 40 46 35 49
## 0.085 0.086 0.087 0.088 0.089 0.09 0.091 0.092 0.093 0.094 0.095 0.096
## 25 31 25 32 25 21 19 22 21 19 23 18
## 0.097 0.098 0.099 0.1 0.101 0.102 0.103 0.104 0.105 0.106 0.107 0.108
## 18 12 8 13 5 10 7 16 6 8 9 1
## 0.109 0.11 0.111 0.112 0.113 0.114 0.115 0.116 0.117 0.118 0.119 0.12
## 3 8 7 6 1 11 5 2 4 8 3 3
## 0.121 0.122 0.123 0.124 0.125 0.126 0.127 0.128 0.132 0.136 0.137 0.143
## 2 7 6 3 1 1 1 1 4 1 1 1
## 0.145 0.146 0.147 0.148 0.152 0.153 0.157 0.159 0.161 0.165 0.166 0.168
## 1 1 1 1 2 1 3 1 1 1 3 1
## 0.169 0.17 0.171 0.172 0.174 0.176 0.178 0.186 0.19 0.194 0.2 0.205
## 1 1 2 1 1 1 2 1 1 1 1 2
## 0.213 0.214 0.216 0.222 0.226 0.23 0.235 0.236 0.241 0.243 0.25 0.263
## 1 3 1 1 2 1 1 1 1 1 1 1
## 0.267 0.27 0.332 0.337 0.341 0.343 0.358 0.36 0.368 0.369 0.387 0.401
## 1 1 1 1 1 1 1 1 1 1 1 1
## 0.403 0.413 0.414 0.415 0.422 0.464 0.467 0.61 0.611
## 1 1 2 3 1 1 1 1 1
table(free.sulfur.dioxide)
## free.sulfur.dioxide
## 1 2 3 4 5 5.5 6 7 8 9 10 11 12 13 14
## 3 1 49 41 104 1 138 71 56 62 79 59 75 57 50
## 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
## 78 61 60 46 39 30 41 22 32 34 24 32 29 23 23
## 30 31 32 33 34 35 36 37 37.5 38 39 40 40.5 41 42
## 16 20 22 11 18 15 11 3 2 9 5 6 1 7 3
## 43 45 46 47 48 50 51 52 53 54 55 57 66 68 72
## 3 3 1 1 4 2 4 3 1 1 2 1 1 2 1
table(total.sulfur.dioxide)
## total.sulfur.dioxide
## 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
## 3 4 14 14 27 26 29 28 33 35 26 27 35 29 33
## 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## 25 25 34 36 27 24 30 43 20 14 32 20 17 20 26
## 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
## 12 26 31 16 17 14 26 18 23 20 17 24 21 21 11
## 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65
## 11 15 14 20 13 10 6 14 9 18 9 9 13 10 17
## 66 67 68 69 70 71 72 73 74 75 76 77 77.5 78 79
## 9 12 10 8 8 7 10 7 8 5 3 8 2 4 5
## 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94
## 4 6 4 2 6 9 10 6 14 9 5 7 8 2 8
## 95 96 98 99 100 101 102 103 104 105 106 108 109 110 111
## 4 5 7 6 3 4 6 2 5 5 6 3 4 6 3
## 112 113 114 115 116 119 120 121 122 124 125 126 127 128 129
## 3 4 2 2 1 7 2 4 3 3 2 1 2 2 3
## 130 131 133 134 135 136 139 140 141 142 143 144 145 147 148
## 1 3 3 2 2 2 1 1 3 1 2 3 3 3 2
## 149 151 152 153 155 160 165 278 289
## 1 2 1 1 1 1 1 1 1
table(density)
## density
## 0.99007 0.9902 0.99064 0.9908 0.99084 0.9912 0.9915 0.99154 0.99157
## 2 1 2 1 1 1 1 1 1
## 0.9916 0.99162 0.9917 0.99182 0.99191 0.9921 0.9922 0.99235 0.99236
## 2 1 1 2 1 1 2 1 1
## 0.9924 0.99242 0.99252 0.99256 0.99258 0.99264 0.9927 0.9928 0.99286
## 3 2 1 1 3 1 1 2 1
## 0.9929 0.99292 0.99294 0.99306 0.99314 0.99316 0.99318 0.9932 0.99322
## 1 1 2 1 1 2 1 1 1
## 0.99323 0.99328 0.9933 0.99331 0.99332 0.99334 0.99336 0.9934 0.99341
## 1 1 1 2 1 1 1 4 1
## 0.99344 0.99346 0.99348 0.9935 0.99352 0.99354 0.99356 0.99357 0.99358
## 1 3 1 1 2 2 4 1 3
## 0.9936 0.99362 0.99364 0.9937 0.99371 0.99374 0.99376 0.99378 0.99379
## 2 2 1 2 2 2 3 3 1
## 0.9938 0.99384 0.99385 0.99386 0.99387 0.99388 0.99392 0.99394 0.99395
## 1 1 1 1 1 2 2 1 1
## 0.99396 0.99397 0.994 0.99402 0.99408 0.9941 0.99414 0.99416 0.99417
## 3 1 2 4 3 1 2 1 1
## 0.99418 0.99419 0.9942 0.99425 0.99426 0.99428 0.9943 0.99434 0.99437
## 2 2 3 1 1 1 2 1 1
## 0.99438 0.99439 0.9944 0.99444 0.99448 0.99451 0.99454 0.99456 0.99458
## 5 1 3 4 4 1 1 1 4
## 0.99459 0.9946 0.99462 0.99464 0.99467 0.99468 0.9947 0.99471 0.99472
## 1 5 2 2 2 1 6 3 3
## 0.99473 0.99474 0.99476 0.99478 0.99479 0.9948 0.99483 0.99484 0.99486
## 1 1 3 2 1 9 1 3 1
## 0.99488 0.99489 0.9949 0.99491 0.99492 0.99494 0.99495 0.99496 0.99498
## 4 3 4 1 2 4 2 1 5
## 0.99499 0.995 0.99501 0.99502 0.99504 0.99506 0.99508 0.99509 0.9951
## 1 10 1 2 2 1 3 1 4
## 0.99512 0.99514 0.99516 0.99517 0.99518 0.99519 0.9952 0.99521 0.99522
## 2 5 6 1 3 1 9 1 4
## 0.99523 0.99524 0.99525 0.99526 0.99528 0.99529 0.9953 0.99531 0.99532
## 1 4 2 2 3 1 4 2 1
## 0.99533 0.99534 0.99536 0.99538 0.9954 0.99541 0.99542 0.99543 0.99544
## 1 6 2 11 4 1 1 2 1
## 0.99545 0.99546 0.99547 0.99549 0.9955 0.99551 0.99552 0.99553 0.99554
## 3 7 2 2 14 3 5 1 3
## 0.99555 0.99556 0.99557 0.99558 0.9956 0.99562 0.99564 0.99565 0.99566
## 1 2 3 3 14 4 2 3 4
## 0.99568 0.99569 0.9957 0.99572 0.99573 0.99574 0.99575 0.99576 0.99577
## 4 1 6 9 1 2 2 5 3
## 0.99578 0.9958 0.99581 0.99582 0.99584 0.99585 0.99586 0.99587 0.99588
## 3 14 1 1 2 3 6 2 4
## 0.99589 0.9959 0.99592 0.99593 0.99594 0.99596 0.99598 0.99599 0.996
## 1 13 4 2 1 2 2 2 13
## 0.99603 0.99604 0.99605 0.99606 0.99608 0.99609 0.9961 0.99612 0.99613
## 2 3 3 2 2 1 10 6 4
## 0.99614 0.99615 0.99616 0.99617 0.99619 0.9962 0.99621 0.99622 0.99623
## 2 5 7 1 1 28 1 5 2
## 0.99624 0.99625 0.99627 0.99628 0.99629 0.9963 0.99631 0.99632 0.99633
## 3 3 3 3 2 15 1 4 4
## 0.99634 0.99635 0.99636 0.99638 0.99639 0.9964 0.99641 0.99642 0.99643
## 3 1 5 5 2 25 1 3 1
## 0.99645 0.99646 0.99647 0.99648 0.99649 0.9965 0.99651 0.99652 0.99654
## 1 1 2 3 1 11 1 6 2
## 0.99655 0.99656 0.99658 0.99659 0.9966 0.99661 0.99664 0.99665 0.99666
## 6 5 1 2 23 1 3 1 3
## 0.99667 0.99668 0.99669 0.9967 0.99672 0.99674 0.99675 0.99676 0.99677
## 1 4 2 13 5 2 5 3 2
## 0.99678 0.9968 0.99682 0.99683 0.99684 0.99685 0.99686 0.99688 0.99689
## 1 35 2 2 1 8 3 2 4
## 0.9969 0.99692 0.99693 0.99694 0.99695 0.99697 0.99698 0.99699 0.997
## 18 4 2 3 1 1 1 1 24
## 0.99701 0.99702 0.99704 0.99705 0.99706 0.99708 0.99709 0.9971 0.99712
## 2 4 3 1 2 4 1 13 4
## 0.99713 0.99714 0.99716 0.99717 0.99718 0.99719 0.9972 0.99721 0.99722
## 2 2 2 1 3 1 36 1 1
## 0.99724 0.99725 0.99726 0.99727 0.99728 0.99729 0.9973 0.99732 0.99733
## 4 1 1 1 3 1 18 3 1
## 0.99734 0.99735 0.99736 0.99738 0.99739 0.9974 0.99743 0.99744 0.99745
## 4 6 5 4 1 22 2 2 9
## 0.99746 0.99747 0.99748 0.9975 0.99752 0.99754 0.99756 0.99758 0.9976
## 7 2 3 7 1 1 1 1 35
## 0.99761 0.99764 0.99765 0.99768 0.99769 0.9977 0.99772 0.99774 0.99779
## 1 1 1 3 2 4 1 5 1
## 0.9978 0.99782 0.99783 0.99784 0.99785 0.99786 0.99787 0.99788 0.9979
## 26 2 2 1 1 4 3 2 14
## 0.99791 0.99796 0.99798 0.998 0.99801 0.99803 0.99808 0.9981 0.99814
## 1 1 2 29 2 3 1 10 2
## 0.99815 0.99817 0.99818 0.9982 0.99822 0.99823 0.99824 0.99828 0.9983
## 2 2 3 23 1 1 3 2 9
## 0.99832 0.99834 0.99836 0.9984 0.99842 0.99845 0.9985 0.99852 0.99854
## 1 1 2 20 2 1 3 1 1
## 0.99855 0.99859 0.9986 0.99864 0.99865 0.9987 0.99878 0.9988 0.99888
## 2 1 19 1 2 12 1 20 2
## 0.9989 0.99892 0.999 0.99901 0.9991 0.99914 0.99915 0.99918 0.9992
## 2 3 8 1 10 3 1 1 7
## 0.99922 0.99925 0.9993 0.99935 0.99938 0.99939 0.9994 0.9995 0.9996
## 1 1 4 1 1 1 24 1 12
## 0.99965 0.9997 0.99974 0.99975 0.99976 0.9998 0.9999 1 1.00005
## 1 8 1 1 1 10 1 10 2
## 1.0001 1.00012 1.00015 1.0002 1.00024 1.00025 1.0003 1.0004 1.0006
## 4 1 2 10 1 1 2 9 6
## 1.0008 1.001 1.0014 1.0015 1.0018 1.0021 1.0022 1.00242 1.0026
## 3 6 6 2 1 2 2 2 2
## 1.00289 1.00315 1.0032 1.00369
## 1 3 1 2
table(pH)
## pH
## 2.74 2.86 2.87 2.88 2.89 2.9 2.92 2.93 2.94 2.95 2.98 2.99 3 3.01 3.02
## 1 1 1 2 4 1 4 3 4 1 5 2 6 5 8
## 3.03 3.04 3.05 3.06 3.07 3.08 3.09 3.1 3.11 3.12 3.13 3.14 3.15 3.16 3.17
## 6 10 8 10 11 11 11 19 9 20 13 21 34 36 27
## 3.18 3.19 3.2 3.21 3.22 3.23 3.24 3.25 3.26 3.27 3.28 3.29 3.3 3.31 3.32
## 30 25 39 36 39 32 29 26 53 35 42 46 57 39 45
## 3.33 3.34 3.35 3.36 3.37 3.38 3.39 3.4 3.41 3.42 3.43 3.44 3.45 3.46 3.47
## 37 43 39 56 37 48 48 37 34 33 17 29 20 22 21
## 3.48 3.49 3.5 3.51 3.52 3.53 3.54 3.55 3.56 3.57 3.58 3.59 3.6 3.61 3.62
## 19 10 14 15 18 17 16 8 11 10 10 8 7 8 4
## 3.63 3.66 3.67 3.68 3.69 3.7 3.71 3.72 3.74 3.75 3.78 3.85 3.9 4.01
## 3 4 3 5 4 1 4 3 1 1 2 1 2 2
table(sulphates)
## sulphates
## 0.33 0.37 0.39 0.4 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.5 0.51 0.52
## 1 2 6 4 5 8 16 12 18 19 29 31 27 26 47
## 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.6 0.61 0.62 0.63 0.64 0.65 0.66 0.67
## 51 68 50 60 55 68 51 69 45 61 48 46 41 42 36
## 0.68 0.69 0.7 0.71 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79 0.8 0.81 0.82
## 35 23 33 26 28 26 26 20 25 26 23 18 19 15 22
## 0.83 0.84 0.85 0.86 0.87 0.88 0.89 0.9 0.91 0.92 0.93 0.94 0.95 0.96 0.97
## 15 13 14 13 13 7 7 8 8 5 10 4 2 3 6
## 0.98 0.99 1 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.1 1.11 1.12
## 2 3 1 1 3 2 2 3 4 2 3 1 2 1 1
## 1.13 1.14 1.15 1.16 1.17 1.18 1.2 1.22 1.26 1.28 1.31 1.33 1.34 1.36 1.56
## 2 2 1 1 5 3 1 1 1 2 1 1 1 3 1
## 1.59 1.61 1.62 1.95 1.98 2
## 1 1 1 2 1 1
table(alcohol)
## alcohol
## 8.4 8.5 8.7 8.8
## 2 1 2 2
## 9 9.05 9.1 9.2
## 30 1 23 72
## 9.23333333333333 9.25 9.3 9.4
## 1 1 59 103
## 9.5 9.55 9.56666666666667 9.6
## 139 2 1 59
## 9.7 9.8 9.9 9.95
## 54 78 49 1
## 10 10.0333333333333 10.1 10.2
## 67 2 47 46
## 10.3 10.4 10.5 10.55
## 33 41 67 2
## 10.6 10.7 10.75 10.8
## 28 27 1 42
## 10.9 11 11.0666666666667 11.1
## 49 59 1 27
## 11.2 11.3 11.4 11.5
## 36 32 32 30
## 11.6 11.7 11.8 11.9
## 15 23 29 20
## 11.95 12 12.1 12.2
## 1 21 13 12
## 12.3 12.4 12.5 12.6
## 12 13 21 6
## 12.7 12.8 12.9 13
## 9 17 9 6
## 13.1 13.2 13.3 13.4
## 2 1 3 3
## 13.5 13.5666666666667 13.6 14
## 1 1 4 7
## 14.9
## 1
xtabs(~fixed.acidity+quality)
## quality
## fixed.acidity 3 4 5 6 7 8
## 4.6 0 1 0 0 0 0
## 4.7 0 0 0 1 0 0
## 4.9 0 0 0 0 1 0
## 5 0 1 1 3 0 1
## 5.1 0 0 0 1 3 0
## 5.2 0 0 1 4 1 0
## 5.3 0 0 1 0 3 0
## 5.4 0 0 0 3 2 0
## 5.5 0 0 0 0 0 1
## 5.6 0 1 9 1 2 1
## 5.7 0 1 0 1 0 0
## 5.8 0 0 1 3 0 0
## 5.9 0 0 3 6 0 0
## 6 0 1 5 7 0 0
## 6.1 0 0 10 5 1 0
## 6.2 0 1 10 8 1 0
## 6.3 0 1 4 9 0 0
## 6.4 0 1 10 12 2 0
## 6.5 0 3 5 9 0 0
## 6.6 0 1 16 14 6 0
## 6.7 1 1 11 12 3 0
## 6.8 1 2 19 20 4 0
## 6.9 0 3 14 21 0 0
## 7 0 1 23 23 3 0
## 7.1 1 2 31 21 2 0
## 7.2 0 1 31 24 9 2
## 7.3 1 2 22 14 5 0
## 7.4 1 1 23 14 4 1
## 7.5 0 4 24 21 3 0
## 7.6 1 1 25 17 2 0
## 7.7 0 0 28 16 5 0
## 7.8 0 0 30 19 3 1
## 7.9 0 1 16 18 5 2
## 8 0 1 18 21 2 0
## 8.1 0 2 17 5 2 0
## 8.2 0 2 14 23 6 0
## 8.3 1 3 15 15 6 0
## 8.4 0 2 13 9 2 0
## 8.5 0 1 8 5 5 0
## 8.6 0 0 17 8 1 1
## 8.7 0 0 10 9 5 0
## 8.8 0 2 17 12 3 0
## 8.9 0 0 12 10 11 0
## 9 0 0 17 8 1 0
## 9.1 0 1 7 13 7 1
## 9.2 0 1 9 4 2 0
## 9.3 0 0 12 8 2 0
## 9.4 0 0 5 7 4 1
## 9.5 0 0 7 5 2 0
## 9.6 0 0 8 6 3 0
## 9.7 0 0 5 4 0 0
## 9.8 0 0 6 4 5 0
## 9.9 0 1 18 3 4 0
## 10 0 0 9 10 3 1
## 10.1 0 1 0 5 4 0
## 10.2 0 1 5 8 5 0
## 10.3 0 0 2 8 0 1
## 10.4 2 0 3 10 6 0
## 10.5 0 1 0 4 7 0
## 10.6 0 0 5 8 1 0
## 10.7 0 0 4 3 1 2
## 10.8 0 0 5 5 0 0
## 10.9 0 0 1 7 0 0
## 11 0 0 2 0 1 0
## 11.1 0 0 2 3 4 0
## 11.2 0 0 2 3 0 0
## 11.3 0 0 2 4 0 1
## 11.4 0 0 1 4 0 0
## 11.5 0 0 2 10 1 0
## 11.6 1 1 2 4 4 0
## 11.7 0 0 1 1 1 0
## 11.8 0 0 0 1 2 0
## 11.9 0 0 3 7 2 0
## 12 0 1 0 2 4 0
## 12.1 0 0 1 0 0 0
## 12.2 0 0 2 2 0 0
## 12.3 0 0 4 1 0 0
## 12.4 0 0 1 3 0 0
## 12.5 0 1 3 2 1 0
## 12.6 0 0 0 3 0 1
## 12.7 0 0 3 1 0 0
## 12.8 0 0 0 1 4 0
## 12.9 0 0 0 1 1 0
## 13 0 0 1 2 0 0
## 13.2 0 0 1 2 0 0
## 13.3 0 0 1 1 1 0
## 13.4 0 0 0 1 0 0
## 13.5 0 0 1 0 0 0
## 13.7 0 0 0 2 0 0
## 13.8 0 0 0 1 0 0
## 14 0 0 0 1 0 0
## 14.3 0 0 0 1 0 0
## 15 0 0 0 0 2 0
## 15.5 0 0 2 0 0 0
## 15.6 0 0 1 0 1 0
## 15.9 0 0 1 0 0 0
xtabs(~volatile.acidity+quality)
## quality
## volatile.acidity 3 4 5 6 7 8
## 0.12 0 0 0 0 3 0
## 0.16 0 0 0 2 0 0
## 0.18 0 0 2 7 1 0
## 0.19 0 0 1 1 0 0
## 0.2 0 0 1 1 1 0
## 0.21 0 0 1 2 3 0
## 0.22 0 0 0 5 1 0
## 0.23 0 1 1 3 0 0
## 0.24 0 0 2 6 5 0
## 0.25 0 0 0 3 4 0
## 0.26 0 0 2 10 3 1
## 0.27 0 0 1 8 5 0
## 0.28 0 0 5 5 13 0
## 0.29 0 0 3 8 5 0
## 0.295 0 0 0 1 0 0
## 0.3 0 0 0 6 9 1
## 0.305 0 0 0 2 0 0
## 0.31 0 0 4 12 13 1
## 0.315 0 0 0 2 0 0
## 0.32 0 0 10 7 5 1
## 0.33 0 1 3 5 10 1
## 0.34 0 0 9 16 5 0
## 0.35 0 1 6 9 3 3
## 0.36 0 0 5 23 9 1
## 0.365 0 0 2 0 0 0
## 0.37 0 0 9 9 6 0
## 0.38 0 1 10 16 7 1
## 0.39 0 1 15 16 3 0
## 0.395 0 0 0 1 1 0
## 0.4 0 1 8 21 6 1
## 0.41 0 0 16 11 6 0
## 0.415 0 0 1 2 0 0
## 0.42 0 0 12 12 5 2
## 0.43 0 0 23 17 3 0
## 0.44 1 0 6 11 5 0
## 0.45 0 0 12 10 0 0
## 0.46 0 1 16 14 0 0
## 0.47 0 2 8 9 2 0
## 0.475 0 0 0 2 0 0
## 0.48 0 1 8 8 7 0
## 0.49 0 0 16 17 1 1
## 0.5 0 1 24 19 2 0
## 0.51 0 0 2 19 3 0
## 0.52 0 2 13 13 5 0
## 0.53 0 1 7 19 2 0
## 0.54 0 0 15 14 1 1
## 0.545 0 0 0 5 0 0
## 0.55 0 1 10 8 1 0
## 0.56 0 0 21 10 3 0
## 0.565 0 0 1 0 0 0
## 0.57 0 0 12 13 2 1
## 0.575 0 0 3 0 0 0
## 0.58 1 2 15 16 4 0
## 0.585 0 0 1 1 1 0
## 0.59 0 2 20 13 4 0
## 0.595 0 0 1 0 0 0
## 0.6 0 0 31 15 1 0
## 0.605 0 0 1 2 0 0
## 0.61 1 2 15 9 0 0
## 0.615 0 0 4 0 2 0
## 0.62 0 1 15 7 0 1
## 0.625 0 1 1 1 0 0
## 0.63 0 1 15 13 0 0
## 0.635 0 1 3 3 2 0
## 0.64 0 0 19 7 1 0
## 0.645 0 0 6 6 0 0
## 0.65 0 0 8 6 2 0
## 0.655 0 0 7 0 0 0
## 0.66 0 0 16 5 5 0
## 0.665 0 0 3 0 0 0
## 0.67 0 2 11 10 0 0
## 0.675 0 1 2 0 0 0
## 0.68 0 2 7 3 0 0
## 0.685 0 1 6 3 1 0
## 0.69 0 0 14 9 0 0
## 0.695 0 0 6 0 1 0
## 0.7 0 0 6 4 0 0
## 0.705 0 0 5 1 0 0
## 0.71 0 0 2 1 0 0
## 0.715 0 0 7 5 0 0
## 0.72 0 0 4 1 0 0
## 0.725 0 0 6 3 0 0
## 0.73 0 1 5 0 0 0
## 0.735 0 0 5 2 1 0
## 0.74 0 0 5 6 0 0
## 0.745 0 0 3 2 0 0
## 0.75 0 0 3 3 0 0
## 0.755 0 1 1 1 0 0
## 0.76 1 0 1 3 0 0
## 0.765 0 1 2 2 0 0
## 0.77 0 0 3 3 0 0
## 0.775 0 0 3 1 0 0
## 0.78 0 1 7 2 0 0
## 0.785 0 1 3 4 0 0
## 0.79 0 0 1 1 0 0
## 0.795 0 0 1 1 0 0
## 0.8 0 0 2 1 0 0
## 0.805 0 0 1 0 0 0
## 0.81 0 0 1 1 0 0
## 0.815 1 0 1 0 1 0
## 0.82 0 0 5 0 0 0
## 0.825 0 0 0 1 0 0
## 0.83 0 1 2 1 0 0
## 0.835 0 0 3 0 1 0
## 0.84 0 1 1 4 2 0
## 0.845 0 1 0 0 0 0
## 0.85 0 0 1 0 0 1
## 0.855 0 0 0 3 0 0
## 0.86 0 0 1 1 0 0
## 0.865 0 0 0 1 0 0
## 0.87 0 1 3 0 0 0
## 0.875 1 0 1 0 0 0
## 0.88 0 1 4 0 0 0
## 0.885 0 1 4 0 0 0
## 0.89 0 0 1 0 0 0
## 0.895 0 0 0 1 0 0
## 0.9 0 0 2 1 0 0
## 0.91 0 1 1 1 0 0
## 0.915 0 1 2 0 1 0
## 0.92 0 0 1 0 0 0
## 0.935 0 1 1 0 0 0
## 0.95 0 0 1 0 0 0
## 0.955 0 1 0 0 0 0
## 0.96 0 0 2 1 0 0
## 0.965 0 0 3 0 0 0
## 0.975 0 1 0 0 0 0
## 0.98 1 0 1 1 0 0
## 1 0 0 1 2 0 0
## 1.005 0 0 1 0 0 0
## 1.01 0 0 0 1 0 0
## 1.02 1 2 0 1 0 0
## 1.025 0 0 1 0 0 0
## 1.035 0 0 1 0 0 0
## 1.04 0 1 1 1 0 0
## 1.07 0 0 1 0 0 0
## 1.09 0 1 0 0 0 0
## 1.115 0 1 0 0 0 0
## 1.13 0 1 0 0 0 0
## 1.18 0 0 1 0 0 0
## 1.185 1 0 0 0 0 0
## 1.24 0 0 1 0 0 0
## 1.33 0 0 2 0 0 0
## 1.58 1 0 0 0 0 0
xtabs(~citric.acid+quality)
## quality
## citric.acid 3 4 5 6 7 8
## 0 3 10 57 54 8 0
## 0.01 0 1 11 16 5 0
## 0.02 2 2 16 26 4 0
## 0.03 0 4 16 7 2 1
## 0.04 0 3 16 9 1 0
## 0.05 2 1 10 6 0 1
## 0.06 0 2 10 10 2 0
## 0.07 0 1 10 10 1 0
## 0.08 0 2 15 14 2 0
## 0.09 0 3 12 11 3 1
## 0.1 0 1 20 11 3 0
## 0.11 0 0 9 4 2 0
## 0.12 0 0 12 12 3 0
## 0.13 0 0 9 9 0 0
## 0.14 0 0 14 6 1 0
## 0.15 0 1 10 8 0 0
## 0.16 0 0 4 2 3 0
## 0.17 0 0 11 4 1 0
## 0.18 0 0 9 12 1 0
## 0.19 0 1 12 8 0 0
## 0.2 0 2 15 8 0 0
## 0.21 0 0 22 11 0 0
## 0.22 0 1 15 11 0 0
## 0.23 0 0 17 8 0 0
## 0.24 0 3 22 25 0 1
## 0.25 0 0 18 9 0 0
## 0.26 0 1 27 10 0 0
## 0.27 0 2 6 11 1 0
## 0.28 0 0 10 6 3 0
## 0.29 0 0 14 6 1 0
## 0.3 0 1 11 14 3 1
## 0.31 0 0 9 19 1 1
## 0.32 0 1 13 8 10 0
## 0.33 0 0 11 9 4 1
## 0.34 0 0 6 9 8 1
## 0.35 0 0 6 3 4 0
## 0.36 0 1 10 5 4 0
## 0.37 0 1 5 11 2 0
## 0.38 0 0 5 5 4 0
## 0.39 0 0 9 9 9 1
## 0.4 0 1 7 13 8 0
## 0.41 0 0 5 6 5 0
## 0.42 1 0 6 18 4 0
## 0.43 0 0 5 8 2 0
## 0.44 0 1 8 9 5 0
## 0.45 0 0 5 9 7 1
## 0.46 0 0 2 9 7 1
## 0.47 0 0 3 8 7 0
## 0.48 0 1 7 11 4 0
## 0.49 1 2 32 25 8 0
## 0.5 0 1 9 7 2 1
## 0.51 0 0 3 8 2 0
## 0.52 0 0 7 8 2 0
## 0.53 0 0 1 3 8 2
## 0.54 0 1 4 4 3 1
## 0.55 0 0 4 7 1 0
## 0.56 0 0 1 5 1 1
## 0.57 0 0 3 4 2 0
## 0.58 0 0 4 3 2 0
## 0.59 0 0 4 3 1 0
## 0.6 0 0 5 4 0 0
## 0.61 0 0 2 0 0 0
## 0.62 0 0 0 1 0 0
## 0.63 0 0 3 4 3 0
## 0.64 0 0 2 5 2 0
## 0.65 0 0 5 2 0 0
## 0.66 1 0 2 5 6 0
## 0.67 0 0 0 1 0 1
## 0.68 0 0 3 5 3 0
## 0.69 0 0 0 4 0 0
## 0.7 0 0 2 0 0 0
## 0.71 0 0 0 0 1 0
## 0.72 0 0 0 0 0 1
## 0.73 0 0 0 1 2 0
## 0.74 0 0 1 1 2 0
## 0.75 0 0 0 0 1 0
## 0.76 0 0 1 0 2 0
## 0.78 0 0 0 1 0 0
## 0.79 0 0 1 0 0 0
## 1 0 1 0 0 0 0
xtabs(~residual.sugar+quality)
## quality
## residual.sugar 3 4 5 6 7 8
## 0.9 0 0 0 2 0 0
## 1.2 1 0 1 4 2 0
## 1.3 0 1 2 2 0 0
## 1.4 0 2 13 15 4 1
## 1.5 1 3 13 9 4 0
## 1.6 0 4 34 16 4 0
## 1.65 0 0 1 1 0 0
## 1.7 0 0 33 33 9 1
## 1.75 0 0 1 0 1 0
## 1.8 1 2 57 48 17 4
## 1.9 0 2 54 55 5 1
## 2 0 6 71 65 12 2
## 2.05 0 0 0 0 2 0
## 2.1 3 8 41 58 18 0
## 2.15 0 0 0 2 0 0
## 2.2 1 6 52 54 17 1
## 2.25 0 0 1 0 0 0
## 2.3 0 2 52 44 10 1
## 2.35 0 0 1 0 0 0
## 2.4 0 0 26 39 21 0
## 2.5 0 2 35 35 11 1
## 2.55 0 0 1 0 0 0
## 2.6 0 1 41 28 7 2
## 2.65 0 0 0 0 1 0
## 2.7 0 0 18 17 4 0
## 2.8 0 1 18 21 8 1
## 2.85 0 0 1 0 0 0
## 2.9 0 0 12 11 1 0
## 2.95 0 0 0 0 1 0
## 3 0 0 13 11 1 0
## 3.1 0 1 2 3 1 0
## 3.2 0 0 4 9 2 0
## 3.3 0 1 5 4 1 0
## 3.4 1 2 9 1 2 0
## 3.45 0 0 1 0 0 0
## 3.5 0 0 1 0 1 0
## 3.6 0 0 1 4 2 1
## 3.65 0 0 0 0 1 0
## 3.7 0 0 1 2 1 0
## 3.75 0 0 1 0 0 0
## 3.8 0 0 5 2 1 0
## 3.9 0 2 4 0 0 0
## 4 0 0 2 7 2 0
## 4.1 0 0 2 3 1 0
## 4.2 0 0 3 1 1 0
## 4.25 1 0 0 0 0 0
## 4.3 0 1 3 4 0 0
## 4.4 0 2 0 1 1 0
## 4.5 0 1 3 0 0 0
## 4.6 0 0 1 3 2 0
## 4.65 0 0 2 0 0 0
## 4.7 0 0 0 0 1 0
## 4.8 0 0 2 1 0 0
## 5 0 0 0 0 1 0
## 5.1 0 0 1 4 0 0
## 5.15 0 0 1 0 0 0
## 5.2 0 0 0 2 0 1
## 5.4 0 0 1 0 0 0
## 5.5 0 0 4 3 1 0
## 5.6 0 1 3 0 2 0
## 5.7 1 0 0 0 0 0
## 5.8 0 0 1 0 3 0
## 5.9 0 0 2 0 1 0
## 6 0 0 1 0 3 0
## 6.1 0 0 4 0 0 0
## 6.2 0 0 0 1 2 0
## 6.3 0 1 0 1 0 0
## 6.4 0 0 2 0 0 1
## 6.55 0 0 0 0 2 0
## 6.6 0 0 2 0 0 0
## 6.7 0 0 1 0 1 0
## 7 0 0 1 0 0 0
## 7.2 0 0 1 0 0 0
## 7.3 0 0 1 0 0 0
## 7.5 0 0 1 0 0 0
## 7.8 0 0 2 0 0 0
## 7.9 0 0 3 0 0 0
## 8.1 0 0 2 0 0 0
## 8.3 0 0 0 1 2 0
## 8.6 0 0 0 1 0 0
## 8.8 0 0 0 2 0 0
## 8.9 0 0 0 0 1 0
## 9 0 0 0 1 0 0
## 10.7 0 0 0 1 0 0
## 11 0 0 0 2 0 0
## 12.9 0 1 0 0 0 0
## 13.4 0 0 0 1 0 0
## 13.8 0 0 2 0 0 0
## 13.9 0 0 0 1 0 0
## 15.4 0 0 0 2 0 0
## 15.5 0 0 1 0 0 0
xtabs(~chlorides+quality)
## quality
## chlorides 3 4 5 6 7 8
## 0.012 0 0 0 0 2 0
## 0.034 0 0 0 1 0 0
## 0.038 0 0 0 1 1 0
## 0.039 0 0 1 3 0 0
## 0.041 0 0 1 2 1 0
## 0.042 0 0 1 1 1 0
## 0.043 0 0 0 1 0 0
## 0.044 0 0 0 2 2 1
## 0.045 0 1 1 1 0 1
## 0.046 0 0 0 3 1 0
## 0.047 0 0 2 2 0 0
## 0.048 0 0 2 2 4 0
## 0.049 0 0 5 3 0 0
## 0.05 0 1 3 5 3 0
## 0.051 0 0 0 1 0 0
## 0.052 0 0 1 4 5 0
## 0.053 0 0 4 1 0 0
## 0.054 0 2 2 3 6 0
## 0.055 0 0 3 2 3 0
## 0.056 0 0 3 4 1 1
## 0.057 0 2 4 3 1 0
## 0.058 0 2 3 7 2 0
## 0.059 0 0 3 11 3 0
## 0.06 0 2 3 5 5 1
## 0.061 1 1 1 4 3 1
## 0.062 0 0 6 10 8 0
## 0.063 0 0 5 12 5 0
## 0.064 0 0 4 12 4 0
## 0.065 0 0 5 13 4 1
## 0.066 0 0 9 14 9 0
## 0.067 0 3 9 10 5 0
## 0.068 0 1 8 17 3 1
## 0.069 0 1 8 10 2 0
## 0.07 0 3 18 10 2 2
## 0.071 0 1 20 18 7 1
## 0.072 0 2 6 12 3 1
## 0.073 0 1 13 16 4 1
## 0.074 1 0 22 20 11 1
## 0.075 0 1 19 16 9 0
## 0.076 0 0 29 21 0 1
## 0.077 0 0 24 21 2 0
## 0.078 1 1 21 22 5 1
## 0.079 0 1 18 23 1 0
## 0.08 0 3 36 24 2 1
## 0.081 0 1 23 15 1 0
## 0.082 1 1 21 20 3 0
## 0.083 0 1 16 12 5 1
## 0.084 1 2 21 22 3 0
## 0.085 0 0 8 13 4 0
## 0.086 0 2 17 11 0 1
## 0.087 0 1 13 6 5 0
## 0.088 0 2 15 13 2 0
## 0.089 0 2 14 7 2 0
## 0.09 0 0 12 8 1 0
## 0.091 0 0 6 10 3 0
## 0.092 0 0 9 9 4 0
## 0.093 0 1 8 6 6 0
## 0.094 0 0 9 7 3 0
## 0.095 0 0 10 9 4 0
## 0.096 0 3 8 6 1 0
## 0.097 1 0 8 8 1 0
## 0.098 0 0 9 3 0 0
## 0.099 0 0 8 0 0 0
## 0.1 0 0 7 5 1 0
## 0.101 0 0 3 0 2 0
## 0.102 0 1 6 3 0 0
## 0.103 0 1 2 3 1 0
## 0.104 0 0 9 4 3 0
## 0.105 0 1 4 1 0 0
## 0.106 0 0 6 2 0 0
## 0.107 0 0 5 2 2 0
## 0.108 0 0 1 0 0 0
## 0.109 0 0 1 0 2 0
## 0.11 0 0 3 4 1 0
## 0.111 0 0 5 2 0 0
## 0.112 0 0 6 0 0 0
## 0.113 0 0 1 0 0 0
## 0.114 0 1 5 5 0 0
## 0.115 0 0 4 0 1 0
## 0.116 0 0 1 0 1 0
## 0.117 0 0 2 2 0 0
## 0.118 0 0 3 5 0 0
## 0.119 0 0 0 3 0 0
## 0.12 0 0 1 1 1 0
## 0.121 0 0 0 1 1 0
## 0.122 0 0 5 2 0 0
## 0.123 0 1 1 4 0 0
## 0.124 0 0 2 0 1 0
## 0.125 0 0 0 1 0 0
## 0.126 0 0 1 0 0 0
## 0.127 0 0 1 0 0 0
## 0.128 0 0 0 0 1 0
## 0.132 0 0 1 3 0 0
## 0.136 0 0 1 0 0 0
## 0.137 1 0 0 0 0 0
## 0.143 0 0 0 0 1 0
## 0.145 1 0 0 0 0 0
## 0.146 0 0 1 0 0 0
## 0.147 0 1 0 0 0 0
## 0.148 0 0 0 1 0 0
## 0.152 0 0 2 0 0 0
## 0.153 0 0 0 1 0 0
## 0.157 0 0 1 2 0 0
## 0.159 0 0 1 0 0 0
## 0.161 0 0 1 0 0 0
## 0.165 0 0 1 0 0 0
## 0.166 0 0 3 0 0 0
## 0.168 0 0 1 0 0 0
## 0.169 0 0 1 0 0 0
## 0.17 0 0 1 0 0 0
## 0.171 0 0 0 2 0 0
## 0.172 0 1 0 0 0 0
## 0.174 0 0 0 1 0 0
## 0.176 0 0 1 0 0 0
## 0.178 0 0 1 1 0 0
## 0.186 0 0 1 0 0 0
## 0.19 0 0 0 1 0 0
## 0.194 0 0 0 1 0 0
## 0.2 1 0 0 0 0 0
## 0.205 0 0 2 0 0 0
## 0.213 0 0 0 1 0 0
## 0.214 0 0 0 3 0 0
## 0.216 0 0 0 0 1 0
## 0.222 0 0 0 1 0 0
## 0.226 0 0 0 2 0 0
## 0.23 0 0 0 1 0 0
## 0.235 0 0 1 0 0 0
## 0.236 0 0 1 0 0 0
## 0.241 0 0 0 1 0 0
## 0.243 0 0 0 1 0 0
## 0.25 0 0 0 1 0 0
## 0.263 0 0 1 0 0 0
## 0.267 1 0 0 0 0 0
## 0.27 0 0 1 0 0 0
## 0.332 0 0 0 1 0 0
## 0.337 0 0 0 1 0 0
## 0.341 0 0 0 1 0 0
## 0.343 0 0 1 0 0 0
## 0.358 0 0 0 0 1 0
## 0.36 0 0 1 0 0 0
## 0.368 0 0 1 0 0 0
## 0.369 0 0 1 0 0 0
## 0.387 0 0 1 0 0 0
## 0.401 0 0 1 0 0 0
## 0.403 0 0 1 0 0 0
## 0.413 0 0 0 1 0 0
## 0.414 0 0 1 1 0 0
## 0.415 0 0 2 1 0 0
## 0.422 0 0 1 0 0 0
## 0.464 0 0 1 0 0 0
## 0.467 0 0 1 0 0 0
## 0.61 0 1 0 0 0 0
## 0.611 0 0 1 0 0 0
xtabs(~free.sulfur.dioxide+quality)
## quality
## free.sulfur.dioxide 3 4 5 6 7 8
## 1 0 0 0 3 0 0
## 2 0 0 0 1 0 0
## 3 1 3 16 17 11 1
## 4 0 5 18 11 7 0
## 5 3 5 46 36 11 3
## 5.5 0 0 0 1 0 0
## 6 2 7 35 64 26 4
## 7 0 3 30 26 11 1
## 8 0 1 23 30 1 1
## 9 0 2 30 19 11 0
## 10 1 0 39 22 17 0
## 11 0 5 20 26 8 0
## 12 0 3 37 22 12 1
## 13 0 1 20 25 11 0
## 14 0 3 16 28 3 0
## 15 0 2 37 32 5 2
## 16 1 0 29 22 9 0
## 17 0 3 21 30 5 1
## 18 0 0 18 24 4 0
## 19 0 1 15 19 3 1
## 20 1 0 16 11 2 0
## 21 0 0 23 13 5 0
## 22 0 1 7 12 2 0
## 23 0 1 15 12 4 0
## 24 0 0 13 16 5 0
## 25 0 0 14 8 2 0
## 26 0 2 11 18 1 0
## 27 0 1 15 13 0 0
## 28 0 1 14 7 0 1
## 29 0 0 9 12 2 0
## 30 0 0 9 6 1 0
## 31 0 0 10 7 3 0
## 32 0 1 12 7 2 0
## 33 0 0 5 6 0 0
## 34 1 0 11 5 0 1
## 35 0 0 10 1 4 0
## 36 0 1 6 2 2 0
## 37 0 0 2 0 1 0
## 37.5 0 0 0 0 2 0
## 38 0 0 3 4 2 0
## 39 0 0 3 2 0 0
## 40 0 0 3 3 0 0
## 40.5 0 0 0 1 0 0
## 41 0 1 1 5 0 0
## 42 0 0 1 1 0 1
## 43 0 0 2 1 0 0
## 45 0 0 1 0 2 0
## 46 0 0 1 0 0 0
## 47 0 0 1 0 0 0
## 48 0 0 3 1 0 0
## 50 0 0 1 1 0 0
## 51 0 0 3 1 0 0
## 52 0 0 2 1 0 0
## 53 0 0 0 0 1 0
## 54 0 0 0 0 1 0
## 55 0 0 0 2 0 0
## 57 0 0 1 0 0 0
## 66 0 0 1 0 0 0
## 68 0 0 2 0 0 0
## 72 0 0 0 1 0 0
xtabs(~total.sulfur.dioxide+quality)
## quality
## total.sulfur.dioxide 3 4 5 6 7 8
## 6 0 0 2 1 0 0
## 7 0 1 1 1 1 0
## 8 0 2 3 6 3 0
## 9 1 2 2 6 3 0
## 10 0 1 3 8 15 0
## 11 1 1 10 10 4 0
## 12 1 2 13 7 5 1
## 13 0 4 12 7 3 2
## 14 2 4 8 15 4 0
## 15 0 0 13 16 6 0
## 16 1 0 8 11 3 3
## 17 0 0 7 15 3 2
## 18 0 0 13 14 8 0
## 19 0 2 10 10 6 1
## 20 0 2 15 12 4 0
## 21 0 0 6 12 7 0
## 22 0 0 14 8 3 0
## 23 0 2 17 13 2 0
## 24 0 2 3 18 12 1
## 25 0 0 8 15 4 0
## 26 0 2 11 9 2 0
## 27 0 0 9 16 5 0
## 28 0 0 13 21 9 0
## 29 1 2 4 7 4 2
## 30 0 0 4 8 2 0
## 31 0 2 13 16 1 0
## 32 0 1 11 7 1 0
## 33 0 0 6 8 3 0
## 34 0 0 7 9 4 0
## 35 0 0 7 16 3 0
## 36 0 1 4 6 1 0
## 37 0 0 13 10 2 1
## 38 0 0 13 15 3 0
## 39 0 0 6 9 1 0
## 40 0 0 10 7 0 0
## 41 0 0 3 8 3 0
## 42 0 1 11 7 7 0
## 43 0 1 3 10 4 0
## 44 0 0 6 13 4 0
## 45 0 0 10 8 1 1
## 46 0 1 3 13 0 0
## 47 1 2 7 9 5 0
## 48 1 1 7 9 3 0
## 49 1 1 8 7 4 0
## 50 0 0 3 7 0 1
## 51 0 1 4 6 0 0
## 52 0 0 8 5 2 0
## 53 0 0 6 6 2 0
## 54 0 0 9 9 2 0
## 55 0 1 5 5 2 0
## 56 0 0 4 5 1 0
## 57 0 0 3 3 0 0
## 58 0 0 7 7 0 0
## 59 0 0 4 3 2 0
## 60 0 0 9 9 0 0
## 61 0 1 4 4 0 0
## 62 0 0 3 6 0 0
## 63 0 1 6 6 0 0
## 64 0 0 4 6 0 0
## 65 0 1 9 7 0 0
## 66 0 0 7 2 0 0
## 67 0 1 7 1 3 0
## 68 0 0 7 3 0 0
## 69 0 1 1 6 0 0
## 70 0 0 3 5 0 0
## 71 0 0 6 1 0 0
## 72 0 0 8 2 0 0
## 73 0 0 4 3 0 0
## 74 0 0 1 6 0 1
## 75 0 1 3 1 0 0
## 76 0 0 1 0 2 0
## 77 0 0 4 3 1 0
## 77.5 0 0 2 0 0 0
## 78 0 0 3 1 0 0
## 79 0 0 1 4 0 0
## 80 0 0 1 2 1 0
## 81 0 0 1 5 0 0
## 82 0 0 3 1 0 0
## 83 0 0 1 1 0 0
## 84 0 1 5 0 0 0
## 85 0 1 7 1 0 0
## 86 0 1 5 3 1 0
## 87 0 0 4 1 0 1
## 88 0 0 8 3 2 1
## 89 0 0 4 3 2 0
## 90 0 0 5 0 0 0
## 91 0 0 2 5 0 0
## 92 0 0 5 3 0 0
## 93 0 0 1 0 1 0
## 94 0 0 4 4 0 0
## 95 0 0 2 2 0 0
## 96 0 0 5 0 0 0
## 98 0 0 4 3 0 0
## 99 0 0 5 1 0 0
## 100 0 0 1 0 2 0
## 101 0 0 3 0 1 0
## 102 0 0 5 1 0 0
## 103 0 0 0 1 1 0
## 104 0 0 5 0 0 0
## 105 0 0 3 2 0 0
## 106 0 0 4 1 1 0
## 108 0 0 3 0 0 0
## 109 0 0 1 3 0 0
## 110 0 0 6 0 0 0
## 111 0 0 3 0 0 0
## 112 0 0 3 0 0 0
## 113 0 1 3 0 0 0
## 114 0 0 1 1 0 0
## 115 0 0 2 0 0 0
## 116 0 0 1 0 0 0
## 119 0 1 6 0 0 0
## 120 0 0 2 0 0 0
## 121 0 0 4 0 0 0
## 122 0 0 3 0 0 0
## 124 0 0 3 0 0 0
## 125 0 0 2 0 0 0
## 126 0 0 1 0 0 0
## 127 0 0 2 0 0 0
## 128 0 0 2 0 0 0
## 129 0 0 3 0 0 0
## 130 0 0 1 0 0 0
## 131 0 0 3 0 0 0
## 133 0 0 3 0 0 0
## 134 0 0 2 0 0 0
## 135 0 0 2 0 0 0
## 136 0 0 0 2 0 0
## 139 0 0 1 0 0 0
## 140 0 0 1 0 0 0
## 141 0 0 3 0 0 0
## 142 0 0 1 0 0 0
## 143 0 0 2 0 0 0
## 144 0 0 3 0 0 0
## 145 0 0 3 0 0 0
## 147 0 0 3 0 0 0
## 148 0 0 1 1 0 0
## 149 0 0 0 1 0 0
## 151 0 0 2 0 0 0
## 152 0 0 1 0 0 0
## 153 0 0 1 0 0 0
## 155 0 0 1 0 0 0
## 160 0 0 0 1 0 0
## 165 0 0 0 1 0 0
## 278 0 0 0 0 1 0
## 289 0 0 0 0 1 0
xtabs(~density+quality)
## quality
## density 3 4 5 6 7 8
## 0.99007 0 0 0 2 0 0
## 0.9902 0 0 0 1 0 0
## 0.99064 0 0 0 0 2 0
## 0.9908 0 0 0 0 0 1
## 0.99084 0 0 0 1 0 0
## 0.9912 0 0 0 1 0 0
## 0.9915 0 0 0 1 0 0
## 0.99154 0 0 0 0 1 0
## 0.99157 0 0 0 0 1 0
## 0.9916 0 0 0 2 0 0
## 0.99162 0 0 0 1 0 0
## 0.9917 0 0 0 0 0 1
## 0.99182 0 0 0 0 2 0
## 0.99191 0 0 0 1 0 0
## 0.9921 0 0 0 1 0 0
## 0.9922 0 0 0 2 0 0
## 0.99235 0 0 0 0 0 1
## 0.99236 0 0 0 1 0 0
## 0.9924 0 0 0 0 2 1
## 0.99242 0 0 0 2 0 0
## 0.99252 0 0 0 1 0 0
## 0.99256 0 0 1 0 0 0
## 0.99258 0 0 1 2 0 0
## 0.99264 0 0 0 0 1 0
## 0.9927 0 0 0 0 1 0
## 0.9928 0 0 0 0 2 0
## 0.99286 0 0 1 0 0 0
## 0.9929 0 0 0 1 0 0
## 0.99292 0 0 0 1 0 0
## 0.99294 0 0 0 2 0 0
## 0.99306 0 0 1 0 0 0
## 0.99314 0 0 0 1 0 0
## 0.99316 0 0 0 0 2 0
## 0.99318 0 0 0 0 1 0
## 0.9932 0 0 0 1 0 0
## 0.99322 0 0 1 0 0 0
## 0.99323 0 0 0 1 0 0
## 0.99328 0 0 0 1 0 0
## 0.9933 0 0 0 0 1 0
## 0.99331 0 0 0 2 0 0
## 0.99332 0 0 0 1 0 0
## 0.99334 0 0 1 0 0 0
## 0.99336 0 0 1 0 0 0
## 0.9934 0 1 1 1 1 0
## 0.99341 0 0 1 0 0 0
## 0.99344 0 0 0 1 0 0
## 0.99346 0 0 1 2 0 0
## 0.99348 0 0 1 0 0 0
## 0.9935 0 0 0 1 0 0
## 0.99352 0 0 0 2 0 0
## 0.99354 0 0 0 1 1 0
## 0.99356 0 0 0 0 4 0
## 0.99357 0 0 0 1 0 0
## 0.99358 0 0 1 0 2 0
## 0.9936 0 0 0 2 0 0
## 0.99362 0 0 1 1 0 0
## 0.99364 0 0 0 1 0 0
## 0.9937 0 0 2 0 0 0
## 0.99371 0 0 0 2 0 0
## 0.99374 0 0 1 0 1 0
## 0.99376 0 0 0 3 0 0
## 0.99378 0 0 1 0 2 0
## 0.99379 0 0 0 1 0 0
## 0.9938 0 1 0 0 0 0
## 0.99384 0 0 0 1 0 0
## 0.99385 0 0 1 0 0 0
## 0.99386 0 0 0 0 1 0
## 0.99387 0 0 0 1 0 0
## 0.99388 0 0 0 2 0 0
## 0.99392 0 0 1 1 0 0
## 0.99394 0 0 0 0 1 0
## 0.99395 0 0 1 0 0 0
## 0.99396 0 1 0 2 0 0
## 0.99397 0 0 0 0 1 0
## 0.994 0 1 0 1 0 0
## 0.99402 0 0 2 2 0 0
## 0.99408 0 0 0 1 2 0
## 0.9941 0 0 1 0 0 0
## 0.99414 0 0 0 2 0 0
## 0.99416 0 0 0 0 1 0
## 0.99417 0 0 0 0 0 1
## 0.99418 0 0 0 2 0 0
## 0.99419 0 0 0 0 1 1
## 0.9942 0 0 3 0 0 0
## 0.99425 0 0 1 0 0 0
## 0.99426 0 0 0 0 1 0
## 0.99428 0 0 0 0 1 0
## 0.9943 0 0 1 1 0 0
## 0.99434 0 0 0 0 1 0
## 0.99437 0 1 0 0 0 0
## 0.99438 0 0 0 5 0 0
## 0.99439 0 0 0 0 1 0
## 0.9944 0 0 1 2 0 0
## 0.99444 0 0 0 2 2 0
## 0.99448 0 0 3 1 0 0
## 0.99451 0 0 0 0 0 1
## 0.99454 0 0 0 1 0 0
## 0.99456 0 0 0 1 0 0
## 0.99458 0 0 0 2 2 0
## 0.99459 0 0 0 0 1 0
## 0.9946 0 0 1 3 1 0
## 0.99462 0 1 0 0 0 1
## 0.99464 0 0 2 0 0 0
## 0.99467 0 0 0 2 0 0
## 0.99468 0 0 0 0 1 0
## 0.9947 0 0 0 3 3 0
## 0.99471 1 0 0 1 1 0
## 0.99472 0 0 1 1 0 1
## 0.99473 0 0 0 0 1 0
## 0.99474 0 0 0 1 0 0
## 0.99476 1 0 1 1 0 0
## 0.99478 0 0 1 1 0 0
## 0.99479 0 0 0 1 0 0
## 0.9948 0 1 0 7 1 0
## 0.99483 0 0 0 1 0 0
## 0.99484 0 0 0 1 2 0
## 0.99486 0 0 0 0 1 0
## 0.99488 0 1 0 2 1 0
## 0.99489 0 0 0 3 0 0
## 0.9949 0 0 1 3 0 0
## 0.99491 0 0 0 1 0 0
## 0.99492 0 0 0 2 0 0
## 0.99494 0 0 2 2 0 0
## 0.99495 0 0 0 0 2 0
## 0.99496 0 0 1 0 0 0
## 0.99498 0 1 0 2 2 0
## 0.99499 0 0 1 0 0 0
## 0.995 0 0 4 4 2 0
## 0.99501 0 0 1 0 0 0
## 0.99502 0 0 1 1 0 0
## 0.99504 0 0 0 2 0 0
## 0.99506 0 0 0 1 0 0
## 0.99508 0 0 1 2 0 0
## 0.99509 0 0 0 0 1 0
## 0.9951 0 0 1 2 1 0
## 0.99512 0 0 0 2 0 0
## 0.99514 0 0 0 3 2 0
## 0.99516 0 0 2 0 3 1
## 0.99517 0 1 0 0 0 0
## 0.99518 0 0 1 2 0 0
## 0.99519 0 0 0 0 1 0
## 0.9952 0 0 2 2 5 0
## 0.99521 0 0 1 0 0 0
## 0.99522 0 0 1 3 0 0
## 0.99523 0 0 0 0 1 0
## 0.99524 0 1 1 0 2 0
## 0.99525 0 0 1 1 0 0
## 0.99526 0 0 0 1 1 0
## 0.99528 0 0 0 2 1 0
## 0.99529 0 0 1 0 0 0
## 0.9953 0 0 1 2 1 0
## 0.99531 0 0 0 2 0 0
## 0.99532 0 0 1 0 0 0
## 0.99533 0 0 0 1 0 0
## 0.99534 0 0 1 1 4 0
## 0.99536 0 0 0 1 1 0
## 0.99538 0 0 3 7 1 0
## 0.9954 0 0 3 1 0 0
## 0.99541 0 0 0 1 0 0
## 0.99542 0 0 1 0 0 0
## 0.99543 0 0 0 2 0 0
## 0.99544 0 0 0 1 0 0
## 0.99545 0 0 1 2 0 0
## 0.99546 0 0 5 2 0 0
## 0.99547 0 0 1 1 0 0
## 0.99549 0 0 0 1 1 0
## 0.9955 0 0 6 5 3 0
## 0.99551 0 0 2 1 0 0
## 0.99552 0 0 1 0 4 0
## 0.99553 0 0 0 1 0 0
## 0.99554 0 0 0 3 0 0
## 0.99555 0 0 0 1 0 0
## 0.99556 0 0 0 2 0 0
## 0.99557 0 1 0 2 0 0
## 0.99558 0 0 2 1 0 0
## 0.9956 0 1 5 8 0 0
## 0.99562 0 0 2 2 0 0
## 0.99564 0 0 0 2 0 0
## 0.99565 0 1 0 2 0 0
## 0.99566 0 1 0 2 1 0
## 0.99568 0 0 1 1 2 0
## 0.99569 0 0 1 0 0 0
## 0.9957 0 0 5 1 0 0
## 0.99572 0 2 1 4 2 0
## 0.99573 0 0 0 1 0 0
## 0.99574 0 0 0 2 0 0
## 0.99575 0 0 2 0 0 0
## 0.99576 0 1 3 1 0 0
## 0.99577 0 0 1 1 1 0
## 0.99578 0 0 2 1 0 0
## 0.9958 0 1 8 5 0 0
## 0.99581 0 0 0 1 0 0
## 0.99582 0 0 0 1 0 0
## 0.99584 0 0 2 0 0 0
## 0.99585 0 1 0 2 0 0
## 0.99586 0 0 2 2 2 0
## 0.99587 0 0 2 0 0 0
## 0.99588 0 0 1 3 0 0
## 0.99589 0 0 0 1 0 0
## 0.9959 0 0 6 7 0 0
## 0.99592 0 1 2 1 0 0
## 0.99593 0 0 1 1 0 0
## 0.99594 0 0 0 0 1 0
## 0.99596 0 0 2 0 0 0
## 0.99598 0 0 0 2 0 0
## 0.99599 0 0 0 2 0 0
## 0.996 1 0 6 5 0 1
## 0.99603 0 0 2 0 0 0
## 0.99604 0 0 1 0 2 0
## 0.99605 0 0 1 2 0 0
## 0.99606 0 0 2 0 0 0
## 0.99608 0 0 1 1 0 0
## 0.99609 0 0 0 1 0 0
## 0.9961 0 0 8 2 0 0
## 0.99612 0 0 4 2 0 0
## 0.99613 0 0 2 2 0 0
## 0.99614 0 1 0 0 1 0
## 0.99615 0 0 0 4 1 0
## 0.99616 0 1 2 4 0 0
## 0.99617 0 0 0 1 0 0
## 0.99619 0 0 0 1 0 0
## 0.9962 0 1 15 7 5 0
## 0.99621 0 0 1 0 0 0
## 0.99622 0 0 3 2 0 0
## 0.99623 0 0 2 0 0 0
## 0.99624 0 0 2 1 0 0
## 0.99625 0 0 2 1 0 0
## 0.99627 0 0 1 2 0 0
## 0.99628 0 0 2 1 0 0
## 0.99629 0 0 2 0 0 0
## 0.9963 0 0 10 3 2 0
## 0.99631 0 0 1 0 0 0
## 0.99632 0 1 3 0 0 0
## 0.99633 0 0 2 2 0 0
## 0.99634 0 0 3 0 0 0
## 0.99635 0 0 0 1 0 0
## 0.99636 0 0 4 1 0 0
## 0.99638 0 0 1 4 0 0
## 0.99639 0 0 1 0 1 0
## 0.9964 0 0 14 8 2 1
## 0.99641 0 0 1 0 0 0
## 0.99642 0 0 1 2 0 0
## 0.99643 0 0 0 0 1 0
## 0.99645 0 0 1 0 0 0
## 0.99646 0 0 0 1 0 0
## 0.99647 0 0 2 0 0 0
## 0.99648 0 1 1 1 0 0
## 0.99649 0 0 0 1 0 0
## 0.9965 0 1 5 5 0 0
## 0.99651 0 0 0 1 0 0
## 0.99652 0 1 0 5 0 0
## 0.99654 0 0 2 0 0 0
## 0.99655 0 0 4 2 0 0
## 0.99656 0 0 2 3 0 0
## 0.99658 0 0 0 0 1 0
## 0.99659 0 0 0 2 0 0
## 0.9966 1 0 17 4 1 0
## 0.99661 0 0 0 1 0 0
## 0.99664 0 1 1 0 1 0
## 0.99665 0 0 1 0 0 0
## 0.99666 0 0 2 0 1 0
## 0.99667 0 0 0 1 0 0
## 0.99668 0 0 3 1 0 0
## 0.99669 0 0 2 0 0 0
## 0.9967 0 1 5 7 0 0
## 0.99672 0 1 1 2 1 0
## 0.99674 0 0 0 2 0 0
## 0.99675 0 0 1 4 0 0
## 0.99676 0 0 0 1 2 0
## 0.99677 0 0 0 2 0 0
## 0.99678 0 0 0 1 0 0
## 0.9968 0 1 22 7 5 0
## 0.99682 0 0 1 1 0 0
## 0.99683 0 0 1 0 1 0
## 0.99684 0 0 0 0 1 0
## 0.99685 0 0 3 5 0 0
## 0.99686 0 0 0 2 1 0
## 0.99688 0 0 0 2 0 0
## 0.99689 0 0 4 0 0 0
## 0.9969 0 0 14 3 1 0
## 0.99692 0 0 2 2 0 0
## 0.99693 0 0 1 1 0 0
## 0.99694 0 0 3 0 0 0
## 0.99695 0 0 0 0 1 0
## 0.99697 0 0 0 1 0 0
## 0.99698 0 0 0 1 0 0
## 0.99699 0 0 1 0 0 0
## 0.997 0 1 14 8 1 0
## 0.99701 0 0 1 1 0 0
## 0.99702 0 0 2 1 1 0
## 0.99704 0 0 0 3 0 0
## 0.99705 1 0 0 0 0 0
## 0.99706 0 0 2 0 0 0
## 0.99708 0 0 2 2 0 0
## 0.99709 0 0 1 0 0 0
## 0.9971 0 0 8 4 1 0
## 0.99712 0 0 4 0 0 0
## 0.99713 0 0 0 2 0 0
## 0.99714 0 0 1 1 0 0
## 0.99716 0 0 0 2 0 0
## 0.99717 0 0 1 0 0 0
## 0.99718 0 0 3 0 0 0
## 0.99719 0 1 0 0 0 0
## 0.9972 0 3 10 19 2 2
## 0.99721 0 0 0 1 0 0
## 0.99722 0 0 1 0 0 0
## 0.99724 0 0 1 3 0 0
## 0.99725 0 0 0 1 0 0
## 0.99726 0 0 1 0 0 0
## 0.99727 0 0 0 1 0 0
## 0.99728 0 0 1 0 2 0
## 0.99729 0 0 1 0 0 0
## 0.9973 0 0 9 5 3 1
## 0.99732 0 0 2 0 1 0
## 0.99733 0 0 1 0 0 0
## 0.99734 0 0 1 3 0 0
## 0.99735 0 0 4 0 2 0
## 0.99736 0 1 1 0 3 0
## 0.99738 0 0 3 0 1 0
## 0.99739 0 0 0 1 0 0
## 0.9974 0 1 10 11 0 0
## 0.99743 0 0 2 0 0 0
## 0.99744 0 0 0 2 0 0
## 0.99745 0 1 4 3 1 0
## 0.99746 0 0 7 0 0 0
## 0.99747 0 0 0 2 0 0
## 0.99748 0 0 3 0 0 0
## 0.9975 0 0 4 3 0 0
## 0.99752 0 0 1 0 0 0
## 0.99754 0 0 0 1 0 0
## 0.99756 0 0 1 0 0 0
## 0.99758 0 0 0 1 0 0
## 0.9976 0 2 19 6 7 1
## 0.99761 0 0 0 1 0 0
## 0.99764 0 0 0 1 0 0
## 0.99765 0 0 1 0 0 0
## 0.99768 0 0 1 2 0 0
## 0.99769 0 0 1 0 1 0
## 0.9977 0 0 1 3 0 0
## 0.99772 0 0 1 0 0 0
## 0.99774 0 0 0 5 0 0
## 0.99779 0 0 1 0 0 0
## 0.9978 0 2 19 2 3 0
## 0.99782 0 0 2 0 0 0
## 0.99783 0 0 2 0 0 0
## 0.99784 0 0 1 0 0 0
## 0.99785 0 0 1 0 0 0
## 0.99786 0 0 3 1 0 0
## 0.99787 0 0 1 2 0 0
## 0.99788 0 0 2 0 0 0
## 0.9979 0 0 9 5 0 0
## 0.99791 0 1 0 0 0 0
## 0.99796 0 0 1 0 0 0
## 0.99798 0 1 0 1 0 0
## 0.998 0 1 15 11 2 0
## 0.99801 0 0 2 0 0 0
## 0.99803 0 0 3 0 0 0
## 0.99808 1 0 0 0 0 0
## 0.9981 0 1 4 5 0 0
## 0.99814 0 0 1 1 0 0
## 0.99815 0 0 0 2 0 0
## 0.99817 0 0 2 0 0 0
## 0.99818 0 0 3 0 0 0
## 0.9982 0 0 12 10 1 0
## 0.99822 0 0 0 1 0 0
## 0.99823 0 0 1 0 0 0
## 0.99824 0 0 1 2 0 0
## 0.99828 0 0 2 0 0 0
## 0.9983 0 0 5 4 0 0
## 0.99832 1 0 0 0 0 0
## 0.99834 0 0 0 0 1 0
## 0.99836 0 1 0 1 0 0
## 0.9984 0 0 7 11 2 0
## 0.99842 0 0 0 2 0 0
## 0.99845 0 0 1 0 0 0
## 0.9985 0 0 1 2 0 0
## 0.99852 0 0 1 0 0 0
## 0.99854 0 0 1 0 0 0
## 0.99855 0 0 2 0 0 0
## 0.99859 0 0 0 0 1 0
## 0.9986 0 0 10 6 3 0
## 0.99864 0 0 0 0 1 0
## 0.99865 0 0 0 2 0 0
## 0.9987 0 0 4 7 0 1
## 0.99878 0 0 1 0 0 0
## 0.9988 0 0 9 10 0 1
## 0.99888 0 0 0 2 0 0
## 0.9989 0 0 0 0 2 0
## 0.99892 1 0 2 0 0 0
## 0.999 0 0 2 4 2 0
## 0.99901 0 0 0 1 0 0
## 0.9991 0 1 3 4 2 0
## 0.99914 0 0 3 0 0 0
## 0.99915 0 0 1 0 0 0
## 0.99918 0 0 1 0 0 0
## 0.9992 0 0 4 2 1 0
## 0.99922 0 0 1 0 0 0
## 0.99925 0 0 0 1 0 0
## 0.9993 0 0 1 3 0 0
## 0.99935 0 0 1 0 0 0
## 0.99938 0 0 1 0 0 0
## 0.99939 0 0 0 1 0 0
## 0.9994 1 0 8 13 2 0
## 0.9995 0 0 0 1 0 0
## 0.9996 0 1 4 6 1 0
## 0.99965 0 0 0 0 1 0
## 0.9997 0 0 5 2 1 0
## 0.99974 0 0 0 1 0 0
## 0.99975 0 0 1 0 0 0
## 0.99976 0 0 1 0 0 0
## 0.9998 0 0 6 2 2 0
## 0.9999 0 0 1 0 0 0
## 1 0 0 3 6 1 0
## 1.00005 0 0 0 0 2 0
## 1.0001 0 0 4 0 0 0
## 1.00012 0 0 0 1 0 0
## 1.00015 0 0 2 0 0 0
## 1.0002 0 0 2 6 2 0
## 1.00024 0 0 1 0 0 0
## 1.00025 0 1 0 0 0 0
## 1.0003 0 0 0 2 0 0
## 1.0004 0 0 7 1 1 0
## 1.0006 0 0 3 3 0 0
## 1.0008 1 0 0 2 0 0
## 1.001 0 1 3 2 0 0
## 1.0014 0 0 1 4 1 0
## 1.0015 0 0 0 2 0 0
## 1.0018 0 0 1 0 0 0
## 1.0021 0 0 0 2 0 0
## 1.0022 0 0 0 0 2 0
## 1.00242 0 0 2 0 0 0
## 1.0026 0 0 1 1 0 0
## 1.00289 0 0 1 0 0 0
## 1.00315 0 0 3 0 0 0
## 1.0032 0 0 0 0 1 0
## 1.00369 0 0 0 2 0 0
xtabs(~pH+quality)
## quality
## pH 3 4 5 6 7 8
## 2.74 0 1 0 0 0 0
## 2.86 0 0 0 1 0 0
## 2.87 0 0 0 1 0 0
## 2.88 0 0 1 0 0 1
## 2.89 0 0 2 2 0 0
## 2.9 0 0 0 1 0 0
## 2.92 0 0 3 0 1 0
## 2.93 0 0 1 2 0 0
## 2.94 0 0 2 2 0 0
## 2.95 0 0 0 0 1 0
## 2.98 0 0 2 1 1 1
## 2.99 0 0 2 0 0 0
## 3 0 0 4 2 0 0
## 3.01 0 0 1 1 3 0
## 3.02 0 0 3 1 4 0
## 3.03 0 0 4 2 0 0
## 3.04 0 0 5 4 1 0
## 3.05 0 1 4 1 2 0
## 3.06 0 0 3 7 0 0
## 3.07 0 1 0 6 4 0
## 3.08 0 0 7 4 0 0
## 3.09 0 0 5 4 2 0
## 3.1 0 0 10 9 0 0
## 3.11 0 0 3 5 1 0
## 3.12 0 0 6 12 2 0
## 3.13 0 0 10 2 1 0
## 3.14 0 0 12 4 5 0
## 3.15 0 0 17 8 6 3
## 3.16 1 1 19 14 1 0
## 3.17 0 1 11 10 5 0
## 3.18 0 0 11 15 4 0
## 3.19 0 0 15 6 4 0
## 3.2 0 1 19 11 7 1
## 3.21 0 0 11 20 4 1
## 3.22 0 0 13 20 5 1
## 3.23 0 1 12 10 6 3
## 3.24 0 0 14 8 6 1
## 3.25 1 0 16 6 3 0
## 3.26 0 2 24 17 10 0
## 3.27 0 0 12 15 8 0
## 3.28 0 1 24 14 3 0
## 3.29 0 2 22 19 3 0
## 3.3 0 3 23 23 8 0
## 3.31 1 2 13 18 5 0
## 3.32 1 2 11 25 6 0
## 3.33 0 2 11 18 6 0
## 3.34 0 2 21 14 6 0
## 3.35 0 1 15 16 5 2
## 3.36 0 1 31 19 5 0
## 3.37 0 2 13 18 4 0
## 3.38 1 4 14 23 6 0
## 3.39 0 1 25 21 1 0
## 3.4 1 1 13 14 8 0
## 3.41 0 2 13 14 5 0
## 3.42 0 0 10 18 5 0
## 3.43 0 2 5 10 0 0
## 3.44 0 1 14 11 3 0
## 3.45 0 1 8 10 1 0
## 3.46 0 0 15 5 1 1
## 3.47 0 0 4 15 2 0
## 3.48 1 0 12 6 0 0
## 3.49 0 0 7 3 0 0
## 3.5 1 2 5 5 0 1
## 3.51 0 1 8 5 1 0
## 3.52 0 1 6 7 4 0
## 3.53 0 1 9 7 0 0
## 3.54 0 1 7 5 3 0
## 3.55 1 0 3 4 0 0
## 3.56 0 0 4 5 1 1
## 3.57 0 0 5 3 2 0
## 3.58 0 1 3 3 3 0
## 3.59 0 2 3 3 0 0
## 3.6 0 1 2 4 0 0
## 3.61 0 0 3 5 0 0
## 3.62 0 1 2 1 0 0
## 3.63 1 0 2 0 0 0
## 3.66 0 1 2 1 0 0
## 3.67 0 0 2 1 0 0
## 3.68 0 0 2 2 1 0
## 3.69 0 0 2 2 0 0
## 3.7 0 0 0 1 0 0
## 3.71 0 0 0 1 3 0
## 3.72 0 0 2 0 0 1
## 3.74 0 0 1 0 0 0
## 3.75 0 1 0 0 0 0
## 3.78 0 0 0 1 1 0
## 3.85 0 0 0 1 0 0
## 3.9 0 1 0 1 0 0
## 4.01 0 0 0 2 0 0
xtabs(~sulphates+quality)
## quality
## sulphates 3 4 5 6 7 8
## 0.33 0 1 0 0 0 0
## 0.37 0 1 1 0 0 0
## 0.39 0 0 4 0 2 0
## 0.4 1 0 1 2 0 0
## 0.42 0 0 4 1 0 0
## 0.43 0 2 4 2 0 0
## 0.44 0 1 12 3 0 0
## 0.45 0 0 12 0 0 0
## 0.46 0 2 12 4 0 0
## 0.47 0 1 14 3 1 0
## 0.48 0 4 17 8 0 0
## 0.49 1 2 20 6 2 0
## 0.5 0 2 19 6 0 0
## 0.51 1 1 16 6 2 0
## 0.52 1 2 33 10 1 0
## 0.53 0 1 33 17 0 0
## 0.54 1 2 38 26 1 0
## 0.55 1 2 27 15 5 0
## 0.56 0 5 25 26 4 0
## 0.57 1 5 30 17 2 0
## 0.58 0 3 35 27 3 0
## 0.59 0 1 20 24 6 0
## 0.6 0 3 21 43 2 0
## 0.61 0 1 26 18 0 0
## 0.62 0 2 29 23 7 0
## 0.63 2 0 19 22 4 1
## 0.64 0 2 20 19 5 0
## 0.65 0 0 12 21 6 2
## 0.66 0 0 15 21 6 0
## 0.67 0 1 15 18 2 0
## 0.68 0 0 13 16 6 0
## 0.69 0 0 5 11 4 3
## 0.7 0 1 7 19 5 1
## 0.71 0 0 11 9 6 0
## 0.72 0 1 7 14 5 1
## 0.73 0 0 8 10 8 0
## 0.74 0 0 8 8 8 2
## 0.75 0 0 4 13 3 0
## 0.76 0 0 1 11 12 1
## 0.77 0 0 5 11 10 0
## 0.78 0 0 9 11 3 0
## 0.79 0 0 5 8 5 0
## 0.8 0 0 7 8 4 0
## 0.81 0 0 1 10 4 0
## 0.82 0 0 3 11 4 4
## 0.83 0 0 3 8 4 0
## 0.84 0 0 2 4 7 0
## 0.85 0 0 0 5 9 0
## 0.86 1 1 1 5 4 1
## 0.87 0 0 2 8 3 0
## 0.88 0 0 2 0 5 0
## 0.89 0 0 0 5 2 0
## 0.9 0 0 1 3 4 0
## 0.91 0 0 3 5 0 0
## 0.92 0 0 0 2 2 1
## 0.93 0 0 4 6 0 0
## 0.94 0 0 1 2 1 0
## 0.95 0 0 1 1 0 0
## 0.96 0 0 0 3 0 0
## 0.97 0 0 2 4 0 0
## 0.98 0 0 1 1 0 0
## 0.99 0 0 1 1 1 0
## 1 0 0 0 1 0 0
## 1.01 0 0 0 0 1 0
## 1.02 0 0 1 0 2 0
## 1.03 0 0 1 1 0 0
## 1.04 0 0 0 1 1 0
## 1.05 0 0 2 0 1 0
## 1.06 0 0 1 3 0 0
## 1.07 0 0 2 0 0 0
## 1.08 0 1 0 1 1 0
## 1.09 0 0 1 0 0 0
## 1.1 0 0 1 0 0 1
## 1.11 0 0 0 1 0 0
## 1.12 0 1 0 0 0 0
## 1.13 0 0 0 0 2 0
## 1.14 0 0 2 0 0 0
## 1.15 0 0 1 0 0 0
## 1.16 0 0 0 1 0 0
## 1.17 0 0 5 0 0 0
## 1.18 0 0 1 2 0 0
## 1.2 0 0 1 0 0 0
## 1.22 0 0 1 0 0 0
## 1.26 0 0 1 0 0 0
## 1.28 0 0 2 0 0 0
## 1.31 0 0 1 0 0 0
## 1.33 0 0 0 1 0 0
## 1.34 0 0 1 0 0 0
## 1.36 0 0 0 2 1 0
## 1.56 0 0 1 0 0 0
## 1.59 0 0 1 0 0 0
## 1.61 0 0 0 1 0 0
## 1.62 0 0 1 0 0 0
## 1.95 0 0 0 2 0 0
## 1.98 0 0 1 0 0 0
## 2 0 1 0 0 0 0
xtabs(~alcohol+quality)
## quality
## alcohol 3 4 5 6 7 8
## 8.4 1 0 0 1 0 0
## 8.5 0 0 1 0 0 0
## 8.7 0 0 0 2 0 0
## 8.8 0 0 2 0 0 0
## 9 1 2 11 16 0 0
## 9.05 0 1 0 0 0 0
## 9.1 0 2 14 7 0 0
## 9.2 0 3 50 17 2 0
## 9.23333333333333 0 0 0 1 0 0
## 9.25 0 0 0 1 0 0
## 9.3 0 2 44 13 0 0
## 9.4 0 2 79 22 0 0
## 9.5 0 0 97 40 2 0
## 9.55 0 0 1 1 0 0
## 9.56666666666667 0 0 0 1 0 0
## 9.6 0 6 38 15 0 0
## 9.7 1 2 35 14 2 0
## 9.8 1 3 49 23 1 1
## 9.9 1 1 25 18 4 0
## 9.95 1 0 0 0 0 0
## 10 0 4 29 25 8 1
## 10.0333333333333 0 0 0 2 0 0
## 10.1 0 1 23 21 2 0
## 10.2 1 0 21 20 4 0
## 10.3 0 1 13 18 1 0
## 10.4 0 3 12 25 1 0
## 10.5 0 1 31 25 10 0
## 10.55 0 0 0 1 1 0
## 10.6 0 0 8 14 6 0
## 10.7 1 0 7 18 1 0
## 10.75 0 0 0 1 0 0
## 10.8 0 0 9 22 11 0
## 10.9 1 3 13 27 5 0
## 11 1 4 19 22 11 2
## 11.0666666666667 0 0 0 1 0 0
## 11.1 0 1 7 15 4 0
## 11.2 0 3 8 15 10 0
## 11.3 0 1 5 18 7 1
## 11.4 0 2 9 18 2 1
## 11.5 0 2 3 19 6 0
## 11.6 0 0 1 8 6 0
## 11.7 0 0 1 9 11 2
## 11.8 0 1 2 15 10 1
## 11.9 0 0 1 14 5 0
## 11.95 0 0 1 0 0 0
## 12 0 1 1 10 9 0
## 12.1 0 0 1 4 8 0
## 12.2 0 0 1 7 4 0
## 12.3 0 0 0 5 7 0
## 12.4 0 0 0 7 6 0
## 12.5 0 0 0 11 9 1
## 12.6 0 0 1 2 2 1
## 12.7 0 0 0 6 2 1
## 12.8 0 0 1 8 7 1
## 12.9 0 0 2 3 3 1
## 13 0 0 4 0 2 0
## 13.1 0 1 0 0 0 1
## 13.2 0 0 0 1 0 0
## 13.3 0 0 0 2 1 0
## 13.4 0 0 0 1 1 1
## 13.5 0 0 0 1 0 0
## 13.5666666666667 0 0 0 0 1 0
## 13.6 0 0 0 1 3 0
## 14 0 0 0 4 1 2
## 14.9 0 0 1 0 0 0
boxplot(fixed.acidity,horizontal = TRUE,col = "green")
boxplot(density,horizontal = TRUE,col = "red")
##Alcohol content
boxplot(alcohol,horizontal = TRUE,col = "blue")
hist(pH,ylim = c(0,500))
hist(residual.sugar,ylim = c(0,1000))
##Total sulphur dioxide
hist(total.sulfur.dioxide,ylim = c(0,500))
#Plots ##Alcohol content vs Wine quality
plot(alcohol~quality)
plot(pH~quality)
##Citric acid and Wine quality
plot(citric.acid~quality)
#Correlation Matrix
cor(winequality)
## fixed.acidity volatile.acidity citric.acid
## fixed.acidity 1.00000000 -0.256130895 0.67170343
## volatile.acidity -0.25613089 1.000000000 -0.55249568
## citric.acid 0.67170343 -0.552495685 1.00000000
## residual.sugar 0.11477672 0.001917882 0.14357716
## chlorides 0.09370519 0.061297772 0.20382291
## free.sulfur.dioxide -0.15379419 -0.010503827 -0.06097813
## total.sulfur.dioxide -0.11318144 0.076470005 0.03553302
## density 0.66804729 0.022026232 0.36494718
## pH -0.68297819 0.234937294 -0.54190414
## sulphates 0.18300566 -0.260986685 0.31277004
## alcohol -0.06166827 -0.202288027 0.10990325
## quality 0.12405165 -0.390557780 0.22637251
## residual.sugar chlorides free.sulfur.dioxide
## fixed.acidity 0.114776724 0.093705186 -0.153794193
## volatile.acidity 0.001917882 0.061297772 -0.010503827
## citric.acid 0.143577162 0.203822914 -0.060978129
## residual.sugar 1.000000000 0.055609535 0.187048995
## chlorides 0.055609535 1.000000000 0.005562147
## free.sulfur.dioxide 0.187048995 0.005562147 1.000000000
## total.sulfur.dioxide 0.203027882 0.047400468 0.667666450
## density 0.355283371 0.200632327 -0.021945831
## pH -0.085652422 -0.265026131 0.070377499
## sulphates 0.005527121 0.371260481 0.051657572
## alcohol 0.042075437 -0.221140545 -0.069408354
## quality 0.013731637 -0.128906560 -0.050656057
## total.sulfur.dioxide density pH
## fixed.acidity -0.11318144 0.66804729 -0.68297819
## volatile.acidity 0.07647000 0.02202623 0.23493729
## citric.acid 0.03553302 0.36494718 -0.54190414
## residual.sugar 0.20302788 0.35528337 -0.08565242
## chlorides 0.04740047 0.20063233 -0.26502613
## free.sulfur.dioxide 0.66766645 -0.02194583 0.07037750
## total.sulfur.dioxide 1.00000000 0.07126948 -0.06649456
## density 0.07126948 1.00000000 -0.34169933
## pH -0.06649456 -0.34169933 1.00000000
## sulphates 0.04294684 0.14850641 -0.19664760
## alcohol -0.20565394 -0.49617977 0.20563251
## quality -0.18510029 -0.17491923 -0.05773139
## sulphates alcohol quality
## fixed.acidity 0.183005664 -0.06166827 0.12405165
## volatile.acidity -0.260986685 -0.20228803 -0.39055778
## citric.acid 0.312770044 0.10990325 0.22637251
## residual.sugar 0.005527121 0.04207544 0.01373164
## chlorides 0.371260481 -0.22114054 -0.12890656
## free.sulfur.dioxide 0.051657572 -0.06940835 -0.05065606
## total.sulfur.dioxide 0.042946836 -0.20565394 -0.18510029
## density 0.148506412 -0.49617977 -0.17491923
## pH -0.196647602 0.20563251 -0.05773139
## sulphates 1.000000000 0.09359475 0.25139708
## alcohol 0.093594750 1.00000000 0.47616632
## quality 0.251397079 0.47616632 1.00000000
library(corrgram)
corrgram(x=cor(winequality))
library(car)
##
## Attaching package: 'car'
## The following object is masked from 'package:psych':
##
## logit
scatterplotMatrix(x=cor(winequality))