Reading and Visualizing the wine Data Set

winequality <- read.csv("C:/Users/Jaswanth/Downloads/winequality-red.csv")
attach(winequality)
dim(winequality)
## [1] 1599   12

The dimensions of the dataset are 1599 rows and 12 columns

Describing the Data

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 ...

One Way Contingency tables for categorical data

Fixed acidity

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

Volatile acidity

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

Citric acid

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

Residual sugar

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

Chlorides

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

Free Sulfur Dioxide

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

Total Sulfur Dioxide

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

Density

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

pH Value

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

Sulphates

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

Alcohol content

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

Two way contingency tables

Fixed acidity and Wine Quality

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

Volatile acidity and Wine Quality

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

Citric Acid and Wine Quality

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

Residual Sugar and Wine Quality

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

Chlorides and Wine Quality

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

Free Sulphur Dioxide and Wine quality

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

Total Sulfur Dioxide and Wine quality

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

Density and Wine quality

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

pH Value and Wine quality

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

Sulphates and Wine quality

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

Alcohol content and Wine quality

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

Boxplots of Variables

Fixed acidity

boxplot(fixed.acidity,horizontal = TRUE,col = "green")

Density

boxplot(density,horizontal = TRUE,col = "red")

##Alcohol content

boxplot(alcohol,horizontal = TRUE,col = "blue")

Histograms

pH Values

hist(pH,ylim = c(0,500))

Residual Sugar

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)

pH VS Wine 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

Corrgram

library(corrgram)
corrgram(x=cor(winequality))

Scatter plot matrix

library(car)
## 
## Attaching package: 'car'
## The following object is masked from 'package:psych':
## 
##     logit
scatterplotMatrix(x=cor(winequality))