Red Wine Quality Analysis
Ayan Ghosh
27 December 2017
This dataset is public available for research. Number of Instances: red wine - 1599. Number of Attributes:12
Analysis of Red Wine Quality Chemical Properties: -> fixed acidity: most acids involved with wine or fixed or nonvolatile (do not evaporate readily) (tartaric acid - g / dm^3) -> volatile acidity: the amount of acetic acid in wine, which at too high of levels can lead to an unpleasant, vinegar taste (acetic acid - g / dm^3) -> citric acid: found in small quantities, citric acid can add ‘freshness’ and flavor to wines (g / dm^3) -> residual sugar: the amount of sugar remaining after fermentation stops (g / dm^3) ->chlorides: the amount of salt in the wine (sodium chloride - g / dm^3 -> free sulfur dioxide: he free form of SO2 exists in equilibrium between molecular SO2 (as a dissolved gas) and bisulfite ion (mg / dm^3) -> total sulfur dioxide: amount of free and bound forms of S02 (mg / dm^3) -> density: the density of water is close to that of water depending on the percent alcohol and sugar content (g / cm^3) -> pH: describes how acidic or basic a wine is on a scale from 0 (very acidic) to 14 (very basic) -> sulphates: a wine additive which can contribute to sulfur dioxide gas (S02) levels (potassium sulphate - g / dm3) -> alcohol: the percent alcohol content of the wine (% by volume) Output variable (based on sensory data): -> quality (score between 0 and 10)
setwd("G:/IIEST 2K15-2K20/Intern/Winter Internship/Resources/capstone project")
redwine<- read.csv(paste("winequality-red.csv", sep=""))
redwine3<- read.csv(paste("winequality-red.csv", sep=""))
View(redwine)
summary(redwine)## fixed.acidity volatile.acidity citric.acid residual.sugar
## Min. : 4.60 Min. :0.1200 Min. :0.000 Min. : 0.900
## 1st Qu.: 7.10 1st Qu.:0.3900 1st Qu.:0.090 1st Qu.: 1.900
## Median : 7.90 Median :0.5200 Median :0.260 Median : 2.200
## Mean : 8.32 Mean :0.5278 Mean :0.271 Mean : 2.539
## 3rd Qu.: 9.20 3rd Qu.:0.6400 3rd Qu.:0.420 3rd Qu.: 2.600
## Max. :15.90 Max. :1.5800 Max. :1.000 Max. :15.500
## chlorides free.sulfur.dioxide total.sulfur.dioxide
## Min. :0.01200 Min. : 1.00 Min. : 6.00
## 1st Qu.:0.07000 1st Qu.: 7.00 1st Qu.: 22.00
## Median :0.07900 Median :14.00 Median : 38.00
## Mean :0.08747 Mean :15.87 Mean : 46.47
## 3rd Qu.:0.09000 3rd Qu.:21.00 3rd Qu.: 62.00
## Max. :0.61100 Max. :72.00 Max. :289.00
## density pH sulphates alcohol
## Min. :0.9901 Min. :2.740 Min. :0.3300 Min. : 8.40
## 1st Qu.:0.9956 1st Qu.:3.210 1st Qu.:0.5500 1st Qu.: 9.50
## Median :0.9968 Median :3.310 Median :0.6200 Median :10.20
## Mean :0.9967 Mean :3.311 Mean :0.6581 Mean :10.42
## 3rd Qu.:0.9978 3rd Qu.:3.400 3rd Qu.:0.7300 3rd Qu.:11.10
## Max. :1.0037 Max. :4.010 Max. :2.0000 Max. :14.90
## quality
## Min. :3.000
## 1st Qu.:5.000
## Median :6.000
## Mean :5.636
## 3rd Qu.:6.000
## Max. :8.000library(psych)
describe(redwine)## vars n mean sd median trimmed mad min
## fixed.acidity 1 1599 8.32 1.74 7.90 8.15 1.48 4.60
## volatile.acidity 2 1599 0.53 0.18 0.52 0.52 0.18 0.12
## citric.acid 3 1599 0.27 0.19 0.26 0.26 0.25 0.00
## residual.sugar 4 1599 2.54 1.41 2.20 2.26 0.44 0.90
## chlorides 5 1599 0.09 0.05 0.08 0.08 0.01 0.01
## free.sulfur.dioxide 6 1599 15.87 10.46 14.00 14.58 10.38 1.00
## total.sulfur.dioxide 7 1599 46.47 32.90 38.00 41.84 26.69 6.00
## density 8 1599 1.00 0.00 1.00 1.00 0.00 0.99
## pH 9 1599 3.31 0.15 3.31 3.31 0.15 2.74
## sulphates 10 1599 0.66 0.17 0.62 0.64 0.12 0.33
## alcohol 11 1599 10.42 1.07 10.20 10.31 1.04 8.40
## quality 12 1599 5.64 0.81 6.00 5.59 1.48 3.00
## max range skew kurtosis se
## fixed.acidity 15.90 11.30 0.98 1.12 0.04
## volatile.acidity 1.58 1.46 0.67 1.21 0.00
## citric.acid 1.00 1.00 0.32 -0.79 0.00
## residual.sugar 15.50 14.60 4.53 28.49 0.04
## chlorides 0.61 0.60 5.67 41.53 0.00
## free.sulfur.dioxide 72.00 71.00 1.25 2.01 0.26
## total.sulfur.dioxide 289.00 283.00 1.51 3.79 0.82
## density 1.00 0.01 0.07 0.92 0.00
## pH 4.01 1.27 0.19 0.80 0.00
## sulphates 2.00 1.67 2.42 11.66 0.00
## alcohol 14.90 6.50 0.86 0.19 0.03
## quality 8.00 5.00 0.22 0.29 0.02dim(redwine)## [1] 1599 12names(redwine)## [1] "fixed.acidity" "volatile.acidity" "citric.acid"
## [4] "residual.sugar" "chlorides" "free.sulfur.dioxide"
## [7] "total.sulfur.dioxide" "density" "pH"
## [10] "sulphates" "alcohol" "quality"boxplot for overall dataset
redwine1=redwine[,1:12]
View(redwine1)
redwine2=log(redwine1+1)
boxplot(redwine2,xlab="Value",ylab="Parameters",main="Boxplot Presentation of different Parameters")
Adding label as alcohol percentage to group the alcohol concentration in the following: Light = Less than 9 Medium = Between 9 and 12 Strong = Greater than 12
library(ggplot2)##
## Attaching package: 'ggplot2'## The following objects are masked from 'package:psych':
##
## %+%, alpharedwine$label=''
redwine$label[redwine$alcohol<=9] ='Light'
redwine$label[9<redwine$alcohol & redwine$alcohol<=12]='Medium'
redwine$label[12<redwine$alcohol]='Strong'
redwine$label=as.factor(redwine$label)
table(redwine$label)##
## Light Medium Strong
## 37 1421 141qplot(x=label,data = redwine)
pie(table(redwine$label),col=c("red","yellow","blue"),main="Wine-label split up")
Adding rating as redwine quality to group the redwine quality in the following: Poor = less than 5 Good = between 5 and 8 Excellent = greater than 8
library(ggplot2)
redwine$rating[5>=redwine$quality] = 'Poor'
redwine$rating[5<redwine$quality & redwine$quality <8] ='Good'
redwine$rating[8<=redwine$quality] ='Excellent'
redwine$rating = as.factor(redwine$rating)
redwine$rating=relevel(redwine$rating, 'Poor')
table(redwine$rating)##
## Poor Excellent Good
## 744 18 837 qplot(x=rating,data = redwine)
pie(table(redwine$rating),col=c("yellow","blue","red"),main="Wine-rating split up")
Simple exploration about how many quality wines are out there.
summary(subset(redwine, select = -c(rating, label)))## fixed.acidity volatile.acidity citric.acid residual.sugar
## Min. : 4.60 Min. :0.1200 Min. :0.000 Min. : 0.900
## 1st Qu.: 7.10 1st Qu.:0.3900 1st Qu.:0.090 1st Qu.: 1.900
## Median : 7.90 Median :0.5200 Median :0.260 Median : 2.200
## Mean : 8.32 Mean :0.5278 Mean :0.271 Mean : 2.539
## 3rd Qu.: 9.20 3rd Qu.:0.6400 3rd Qu.:0.420 3rd Qu.: 2.600
## Max. :15.90 Max. :1.5800 Max. :1.000 Max. :15.500
## chlorides free.sulfur.dioxide total.sulfur.dioxide
## Min. :0.01200 Min. : 1.00 Min. : 6.00
## 1st Qu.:0.07000 1st Qu.: 7.00 1st Qu.: 22.00
## Median :0.07900 Median :14.00 Median : 38.00
## Mean :0.08747 Mean :15.87 Mean : 46.47
## 3rd Qu.:0.09000 3rd Qu.:21.00 3rd Qu.: 62.00
## Max. :0.61100 Max. :72.00 Max. :289.00
## density pH sulphates alcohol
## Min. :0.9901 Min. :2.740 Min. :0.3300 Min. : 8.40
## 1st Qu.:0.9956 1st Qu.:3.210 1st Qu.:0.5500 1st Qu.: 9.50
## Median :0.9968 Median :3.310 Median :0.6200 Median :10.20
## Mean :0.9967 Mean :3.311 Mean :0.6581 Mean :10.42
## 3rd Qu.:0.9978 3rd Qu.:3.400 3rd Qu.:0.7300 3rd Qu.:11.10
## Max. :1.0037 Max. :4.010 Max. :2.0000 Max. :14.90
## quality
## Min. :3.000
## 1st Qu.:5.000
## Median :6.000
## Mean :5.636
## 3rd Qu.:6.000
## Max. :8.000 create_plot <- function(varname, binwidth = 0.1)
return(ggplot(aes_string(x = varname), data = redwine) + geom_histogram(binwidth = binwidth))
ggplot(redwine, aes(x=as.factor(quality))) + geom_bar()
I will now created simple univariate plots using the variables
#Fixed Acidity
create_plot('fixed.acidity')
par(mfrow=c(1,3))
hist(redwine$fixed.acidity,xlab="fixed.acidity",ylab="Frequency",main="fixed.acidity Index", col=c("red","blue","green","yellow"))
boxplot(redwine$fixed.acidity,main="fixed.acidity Index", xlab="fixed.acidity",ylab="Frequency")
barplot(redwine$fixed.acidity,main = "fixed.acidity Index", xlab="fixed.acidity",ylab="Frequency")
#Citric acid
create_plot('citric.acid',0.05)
qplot(x=citric.acid, data=redwine)+ scale_x_log10()## Warning: Transformation introduced infinite values in continuous x-axis## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.## Warning: Removed 132 rows containing non-finite values (stat_bin).
par(mfrow=c(1,3))
hist(redwine$citric.acid,xlab="citric.acid",ylab="Frequency",main="citric.acid Index", col=c("red","blue","green","yellow"))
boxplot(redwine$citric.acid,main="citric.acid Index", xlab="citric.acid",ylab="Frequency")
barplot(redwine$citric.acid,main = "citric.acid Index", xlab="citric.acid",ylab="Frequency")
#pH
create_plot('pH',0.05)
par(mfrow=c(1,3))
hist(redwine$pH,xlab="pH",ylab="Frequency",main="pH Index", col=c("red","blue","green","yellow"))
boxplot(redwine$pH,main="pH Index", xlab="pH",ylab="Frequency")
barplot(redwine$pH,main = "pH Index", xlab="pH",ylab="Frequency")
#Chlorides
create_plot('chlorides',0.01)
qplot(x=chlorides, data=redwine)+ scale_x_log10()## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
par(mfrow=c(1,3))
hist(redwine$chlorides,xlab="chlorides",ylab="Frequency",main="chlorides Index", col=c("red","blue","green","yellow"))
boxplot(redwine$chlorides,main="chlorides Index", xlab="chlorides",ylab="Frequency")
barplot(redwine$chlorides,main = "chlorides Index", xlab="chlorides",ylab="Frequency")
#Residual Sugar
create_plot('residual.sugar',0.1)
qplot(x=residual.sugar, data=redwine)+ scale_x_log10()## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
par(mfrow=c(1,3))
hist(redwine$residual.sugar,xlab="residual.sugar",ylab="Frequency",main="residual.sugar Index", col=c("red","blue","green","yellow"))
boxplot(redwine$residual.sugar,main="residual.sugar Index", xlab="residual.sugar",ylab="Frequency")
barplot(redwine$residual.sugar,main = "residual.sugar Index", xlab="residual.sugar",ylab="Frequency")
#Density
create_plot('density',0.001)
boxplot(redwine$density,main = "Density",xlab = "density",ylab = "frequency")
hist(redwine$density,xlab="density",ylab="Frequency",main="density Index", col=c("red","blue","green","yellow"))
#Alcohol-From the distribution, we can see that most alcohol percentage on concetrated from 9 to 11
library(gridExtra)
grid.arrange(create_plot('alcohol'), ggplot(aes(x=1, y=alcohol), data=redwine)+geom_boxplot(),nrow=1)
qplot(x=alcohol, data=redwine)+scale_x_log10()## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.par(mfrow=c(1,3))
hist(redwine$alcohol,xlab="alcohol",ylab="Frequency",main="alcohol Index", col=c("red","blue","green","yellow"))
boxplot(redwine$alcohol,main="alcohol Index", xlab="alcohol",ylab="Frequency")
barplot(redwine$alcohol,main = "alcohol Index", xlab="alcohol",ylab="Frequency")
#sulphur di oxide
create_plot('free.sulfur.dioxide', 1)
qplot(x=free.sulfur.dioxide, data=redwine)+ scale_x_log10()## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#volatile acidity
create_plot('volatile.acidity',0.01)
par(mfrow=c(1,3))
hist(redwine$volatile.acidity,xlab="volatile.acidity",ylab="Frequency",main="volatile.acidity Index", col=c("red","blue","green","yellow"))
boxplot(redwine$volatile.acidity,main="volatile.acidity Index", xlab="volatile.acidity",ylab="Frequency")
barplot(redwine$volatile.acidity,main = "volatile.acidity Index", xlab="volatile.acidity",ylab="Frequency")
#total and free sulfur di oxide
create_plot('total.sulfur.dioxide',1)
create_plot('free.sulfur.dioxide',1)
par(mfrow=c(1,3))
hist(redwine$total.sulfur.dioxide,xlab="total.sulfur.dioxide",ylab="Frequency",main="total.sulfur.dioxide Index", col=c("red","blue","green","yellow"))
boxplot(redwine$total.sulfur.dioxide,main="total.sulfur.dioxide Index", xlab="total.sulfur.dioxide",ylab="Frequency")
barplot(redwine$total.sulfur.dioxide,main = "total.sulfur.dioxide Index", xlab="total.sulfur.dioxide",ylab="Frequency")
par(mfrow=c(1,3))
hist(redwine$free.sulfur.dioxide,xlab="free.sulfur.dioxide",ylab="Frequency",main="free.sulfur.dioxide Index", col=c("red","blue","green","yellow"))
boxplot(redwine$free.sulfur.dioxide,main="free.sulfur.dioxide Index", xlab="free.sulfur.dioxide",ylab="Frequency")
barplot(redwine$free.sulfur.dioxide,main = "free.sulfur.dioxide Index", xlab="free.sulfur.dioxide",ylab="Frequency")
#sulphates
create_plot('sulphates',0.01)
par(mfrow=c(1,3))
hist(redwine$sulphates,xlab="sulphates",ylab="Frequency",main="sulphates Index", col=c("red","blue","green","yellow"))
boxplot(redwine$sulphates,main="sulphates Index", xlab="sulphates",ylab="Frequency")
barplot(redwine$sulphates,main = "sulphates Index", xlab="sulphates",ylab="Frequency")
#Quality
par(mfrow=c(1,3))
hist(redwine$quality,xlab="quality",ylab="Frequency",main="Quality Index", col=c("red","blue","green","yellow"))
boxplot(redwine$quality,main="Quality Index", xlab="quality",ylab="Frequency")
barplot(redwine$quality,main = "Quality Index", xlab="quality",ylab="Frequency")
pie(table(redwine$quality),col=c("red","yellow"),main="Quality Index")
all scatterplots to determine the associations between quality and other chemical properties
library(car)##
## Attaching package: 'car'## The following object is masked from 'package:psych':
##
## logitscatterplot(redwine$quality,redwine$fixed.acidity,main="Quality of wines with fixed acidity",ylab = "fixed acidity", xlab="quality",cex=1.1,pch=19)
scatterplot(redwine$quality,redwine$volatile.acidity,main="Quality of wines with volatile acidity",ylab = "Volatile Acidity", xlab="quality",cex=1.1,pch=19)
scatterplot(redwine$quality,redwine$citric.acid,main="quality of wines with Citric Acid",ylab = "Citric Acid", xlab="quality",cex=1.1,pch=19)
scatterplot(redwine$quality,redwine$residual.sugar,main="quality of wines with residual sugars",ylab = "residual sugar", xlab="quality",cex=1.1,pch=19)
scatterplot(redwine$quality,redwine$chlorides,main="quality of wines with Chlorides",ylab = "chlorides", xlab="quality",cex=1.1,pch=19)
scatterplot(redwine$quality,redwine$free.sulfur.dioxide,main="quality of wines with free.sulfur.dioxide",ylab = "free sulfur dioxide", xlab="quality",cex=1.1,pch=19)
scatterplot(redwine$quality,redwine$total.sulfur.dioxide,main="quality of wines with total.sulfur.dioxide",ylab = "total sulfur dioxide", xlab="quality",cex=1.1,pch=19)
scatterplot(redwine$quality,redwine$pH,main="quality of wines with pH",ylab = "pH index", xlab="quality",cex=1.1,pch=19)
scatterplot(redwine$quality,redwine$sulphates,main="quality of wines with sulphates",ylab = "sulphates", xlab="quality",cex=1.1,pch=19)
scatterplot(redwine$quality,redwine$alcohol,main="quality of wines with Alcohol",ylab = "alcohol", xlab="quality",cex=1.1,pch=19)
scatterplot(redwine$quality,redwine$density,main="quality of wines with Density",ylab = "density", xlab="quality",cex=1.1,pch=19)
Visualization through ggplots about the associations between variables
library(ggvis)##
## Attaching package: 'ggvis'## The following object is masked from 'package:ggplot2':
##
## resolutionredwine %>% ggvis(~quality, ~alcohol, fill = ~pH) %>% layer_points()redwine %>% ggvis(~quality, ~sulphates, fill = ~pH) %>% layer_points()redwine %>% ggvis(~quality, ~density, fill = ~pH) %>% layer_points()redwine %>% ggvis(~quality, ~total.sulfur.dioxide, fill = ~pH) %>% layer_points()redwine %>% ggvis(~quality, ~free.sulfur.dioxide, fill = ~pH) %>% layer_points()redwine %>% ggvis(~quality, ~chlorides, fill = ~pH) %>% layer_points()redwine %>% ggvis(~quality, ~residual.sugar, fill = ~pH) %>% layer_points()redwine %>% ggvis(~quality, ~citric.acid, fill = ~pH) %>% layer_points()redwine %>% ggvis(~quality, ~volatile.acidity, fill = ~pH) %>% layer_points()redwine %>% ggvis(~quality, ~fixed.acidity, fill = ~pH) %>% layer_points()jitterplots for the same
plot(jitter(redwine$fixed.acidity),jitter(redwine$quality),main="quality with fixed.acidity",xlab = "fixed acidity", ylab="quality",cex=1.1)
plot(jitter(redwine$volatile.acidity),jitter(redwine$quality),main="quality with volatile.acidity",xlab = "volatile.acidity", ylab="quality",cex=1.1)
plot(jitter(redwine$citric.acid),jitter(redwine$quality),main="quality with citric acid",xlab = "citric acid", ylab="quality",cex=1.1)
plot(jitter(redwine$residual.sugar),jitter(redwine$quality),main="quality with residual sugar",xlab = "residual.sugar", ylab="quality",cex=1.1)
plot(jitter(redwine$chlorides),jitter(redwine$quality),main="quality with chlorides",xlab = "chlorides", ylab="quality",cex=1.1)
plot(jitter(redwine$free.sulfur.dioxide),jitter(redwine$quality),main="quality with free.sulfur.dioxide",xlab = "free.sulfur.dioxide", ylab="quality",cex=1.1)
plot(jitter(redwine$total.sulfur.dioxide),jitter(redwine$quality),main="quality with total.sulfur.dioxide",xlab = "total.sulfur.dioxide", ylab="quality",cex=1.1)
plot(jitter(redwine$density),jitter(redwine$quality),main="quality with density",xlab = "density", ylab="quality",cex=1.1)
plot(jitter(redwine$pH),jitter(redwine$quality),main="quality with pH",xlab = "pH", ylab="quality",cex=1.1)
plot(jitter(redwine$sulphates),jitter(redwine$quality),main="quality with sulphates",xlab = "sulphates", ylab="quality",cex=1.1)
plot(jitter(redwine$alcohol),jitter(redwine$quality),main="quality with alcohol",xlab = "alcohol", ylab="quality",cex=1.1)
Correlation tests to find relationship between different parameters
Correlation matrix,covariance matrix, Corrgram
Correlation tests to find relationship between different parameters
Correlation matrix,covariance matrix, Corrgram
corr.test(redwine3, use = "complete")## Call:corr.test(x = redwine3, use = "complete")
## Correlation matrix
## fixed.acidity volatile.acidity citric.acid
## fixed.acidity 1.00 -0.26 0.67
## volatile.acidity -0.26 1.00 -0.55
## citric.acid 0.67 -0.55 1.00
## residual.sugar 0.11 0.00 0.14
## chlorides 0.09 0.06 0.20
## free.sulfur.dioxide -0.15 -0.01 -0.06
## total.sulfur.dioxide -0.11 0.08 0.04
## density 0.67 0.02 0.36
## pH -0.68 0.23 -0.54
## sulphates 0.18 -0.26 0.31
## alcohol -0.06 -0.20 0.11
## quality 0.12 -0.39 0.23
## residual.sugar chlorides free.sulfur.dioxide
## fixed.acidity 0.11 0.09 -0.15
## volatile.acidity 0.00 0.06 -0.01
## citric.acid 0.14 0.20 -0.06
## residual.sugar 1.00 0.06 0.19
## chlorides 0.06 1.00 0.01
## free.sulfur.dioxide 0.19 0.01 1.00
## total.sulfur.dioxide 0.20 0.05 0.67
## density 0.36 0.20 -0.02
## pH -0.09 -0.27 0.07
## sulphates 0.01 0.37 0.05
## alcohol 0.04 -0.22 -0.07
## quality 0.01 -0.13 -0.05
## total.sulfur.dioxide density pH sulphates alcohol
## fixed.acidity -0.11 0.67 -0.68 0.18 -0.06
## volatile.acidity 0.08 0.02 0.23 -0.26 -0.20
## citric.acid 0.04 0.36 -0.54 0.31 0.11
## residual.sugar 0.20 0.36 -0.09 0.01 0.04
## chlorides 0.05 0.20 -0.27 0.37 -0.22
## free.sulfur.dioxide 0.67 -0.02 0.07 0.05 -0.07
## total.sulfur.dioxide 1.00 0.07 -0.07 0.04 -0.21
## density 0.07 1.00 -0.34 0.15 -0.50
## pH -0.07 -0.34 1.00 -0.20 0.21
## sulphates 0.04 0.15 -0.20 1.00 0.09
## alcohol -0.21 -0.50 0.21 0.09 1.00
## quality -0.19 -0.17 -0.06 0.25 0.48
## quality
## fixed.acidity 0.12
## volatile.acidity -0.39
## citric.acid 0.23
## residual.sugar 0.01
## chlorides -0.13
## free.sulfur.dioxide -0.05
## total.sulfur.dioxide -0.19
## density -0.17
## pH -0.06
## sulphates 0.25
## alcohol 0.48
## quality 1.00
## Sample Size
## [1] 1599
## Probability values (Entries above the diagonal are adjusted for multiple tests.)
## fixed.acidity volatile.acidity citric.acid
## fixed.acidity 0.00 0.00 0.00
## volatile.acidity 0.00 0.00 0.00
## citric.acid 0.00 0.00 0.00
## residual.sugar 0.00 0.94 0.00
## chlorides 0.00 0.01 0.00
## free.sulfur.dioxide 0.00 0.67 0.01
## total.sulfur.dioxide 0.00 0.00 0.16
## density 0.00 0.38 0.00
## pH 0.00 0.00 0.00
## sulphates 0.00 0.00 0.00
## alcohol 0.01 0.00 0.00
## quality 0.00 0.00 0.00
## residual.sugar chlorides free.sulfur.dioxide
## fixed.acidity 0.00 0.00 0.00
## volatile.acidity 1.00 0.25 1.00
## citric.acid 0.00 0.00 0.25
## residual.sugar 0.00 0.37 0.00
## chlorides 0.03 0.00 1.00
## free.sulfur.dioxide 0.00 0.82 0.00
## total.sulfur.dioxide 0.00 0.06 0.00
## density 0.00 0.00 0.38
## pH 0.00 0.00 0.00
## sulphates 0.83 0.00 0.04
## alcohol 0.09 0.00 0.01
## quality 0.58 0.00 0.04
## total.sulfur.dioxide density pH sulphates alcohol
## fixed.acidity 0.00 0.0 0.00 0.00 0.25
## volatile.acidity 0.05 1.0 0.00 0.00 0.00
## citric.acid 1.00 0.0 0.00 0.00 0.00
## residual.sugar 0.00 0.0 0.01 1.00 0.86
## chlorides 0.64 0.0 0.00 0.00 0.00
## free.sulfur.dioxide 0.00 1.0 0.10 0.51 0.11
## total.sulfur.dioxide 0.00 0.1 0.15 0.86 0.00
## density 0.00 0.0 0.00 0.00 0.00
## pH 0.01 0.0 0.00 0.00 0.00
## sulphates 0.09 0.0 0.00 0.00 0.00
## alcohol 0.00 0.0 0.00 0.00 0.00
## quality 0.00 0.0 0.02 0.00 0.00
## quality
## fixed.acidity 0.00
## volatile.acidity 0.00
## citric.acid 0.00
## residual.sugar 1.00
## chlorides 0.00
## free.sulfur.dioxide 0.51
## total.sulfur.dioxide 0.00
## density 0.00
## pH 0.31
## sulphates 0.00
## alcohol 0.00
## quality 0.00
##
## To see confidence intervals of the correlations, print with the short=FALSE optionx<-redwine3[,c("quality","pH","density","residual.sugar","chlorides","free.sulfur.dioxide","total.sulfur.dioxide","sulphates","alcohol")]
y<-redwine3[,c("fixed.acidity","volatile.acidity","citric.acid")]
cor(x,y)## fixed.acidity volatile.acidity citric.acid
## quality 0.12405165 -0.390557780 0.22637251
## pH -0.68297819 0.234937294 -0.54190414
## density 0.66804729 0.022026232 0.36494718
## 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
## sulphates 0.18300566 -0.260986685 0.31277004
## alcohol -0.06166827 -0.202288027 0.10990325cov(x,y)## fixed.acidity volatile.acidity citric.acid
## quality 0.174423588 -5.647588e-02 0.0356118929
## pH -0.183585704 6.494699e-03 -0.0162975823
## density 0.002195224 7.443665e-06 0.0001341746
## residual.sugar 0.281756262 4.841910e-04 0.0394342700
## chlorides 0.007678692 5.165869e-04 0.0018687248
## free.sulfur.dioxide -2.800921493 -1.967359e-02 -0.1242521139
## total.sulfur.dioxide -6.482345858 4.504257e-01 0.2276972740
## sulphates 0.054010092 -7.921434e-03 0.0103277145
## alcohol -0.114421153 -3.860022e-02 0.0228151729var(x,y)## fixed.acidity volatile.acidity citric.acid
## quality 0.174423588 -5.647588e-02 0.0356118929
## pH -0.183585704 6.494699e-03 -0.0162975823
## density 0.002195224 7.443665e-06 0.0001341746
## residual.sugar 0.281756262 4.841910e-04 0.0394342700
## chlorides 0.007678692 5.165869e-04 0.0018687248
## free.sulfur.dioxide -2.800921493 -1.967359e-02 -0.1242521139
## total.sulfur.dioxide -6.482345858 4.504257e-01 0.2276972740
## sulphates 0.054010092 -7.921434e-03 0.0103277145
## alcohol -0.114421153 -3.860022e-02 0.0228151729corrplot,corrgram for the dataset
library(corrplot) ## corrplot 0.84 loadedcorrplot(corr=cor(redwine3[,c(1:12)],use = "complete.obs"), method = "circle")
library(gplots)##
## Attaching package: 'gplots'## The following object is masked from 'package:stats':
##
## lowesscorrplot.mixed(corr=cor(redwine[,c(1:12)],use ="complete.obs"), lower = "number", upper = "circle", tl.pos = c("d",
"lt", "n"), diag = c("n", "l", "u"), bg = "white", addgrid.col = "grey",
lower.col = NULL, upper.col = NULL)
library(corrgram)
corrgram(redwine, order=TRUE, lower.panel=panel.shade, upper.panel=panel.pie, text.panel=panel.txt, main="Corrgram of RW Dataset")
BiVariate Plots #Making Contigengency tables #perfoming chi-square tests
library(gridExtra)
mytable<-xtabs(~quality+volatile.acidity, data = redwine)
addmargins(mytable)## volatile.acidity
## quality 0.12 0.16 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28
## 3 0 0 0 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 1 0 0 0 0 0
## 5 0 0 2 1 1 1 0 1 2 0 2 1 5
## 6 0 2 7 1 1 2 5 3 6 3 10 8 5
## 7 3 0 1 0 1 3 1 0 5 4 3 5 13
## 8 0 0 0 0 0 0 0 0 0 0 1 0 0
## Sum 3 2 10 2 3 6 6 5 13 7 16 14 23
## volatile.acidity
## quality 0.29 0.295 0.3 0.305 0.31 0.315 0.32 0.33 0.34 0.35 0.36 0.365
## 3 0 0 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 1 0 1 0 0
## 5 3 0 0 0 4 0 10 3 9 6 5 2
## 6 8 1 6 2 12 2 7 5 16 9 23 0
## 7 5 0 9 0 13 0 5 10 5 3 9 0
## 8 0 0 1 0 1 0 1 1 0 3 1 0
## Sum 16 1 16 2 30 2 23 20 30 22 38 2
## volatile.acidity
## quality 0.37 0.38 0.39 0.395 0.4 0.41 0.415 0.42 0.43 0.44 0.45 0.46 0.47
## 3 0 0 0 0 0 0 0 0 0 1 0 0 0
## 4 0 1 1 0 1 0 0 0 0 0 0 1 2
## 5 9 10 15 0 8 16 1 12 23 6 12 16 8
## 6 9 16 16 1 21 11 2 12 17 11 10 14 9
## 7 6 7 3 1 6 6 0 5 3 5 0 0 2
## 8 0 1 0 0 1 0 0 2 0 0 0 0 0
## Sum 24 35 35 2 37 33 3 31 43 23 22 31 21
## volatile.acidity
## quality 0.475 0.48 0.49 0.5 0.51 0.52 0.53 0.54 0.545 0.55 0.56 0.565
## 3 0 0 0 0 0 0 0 0 0 0 0 0
## 4 0 1 0 1 0 2 1 0 0 1 0 0
## 5 0 8 16 24 2 13 7 15 0 10 21 1
## 6 2 8 17 19 19 13 19 14 5 8 10 0
## 7 0 7 1 2 3 5 2 1 0 1 3 0
## 8 0 0 1 0 0 0 0 1 0 0 0 0
## Sum 2 24 35 46 24 33 29 31 5 20 34 1
## volatile.acidity
## quality 0.57 0.575 0.58 0.585 0.59 0.595 0.6 0.605 0.61 0.615 0.62 0.625
## 3 0 0 1 0 0 0 0 0 1 0 0 0
## 4 0 0 2 0 2 0 0 0 2 0 1 1
## 5 12 3 15 1 20 1 31 1 15 4 15 1
## 6 13 0 16 1 13 0 15 2 9 0 7 1
## 7 2 0 4 1 4 0 1 0 0 2 0 0
## 8 1 0 0 0 0 0 0 0 0 0 1 0
## Sum 28 3 38 3 39 1 47 3 27 6 24 3
## volatile.acidity
## quality 0.63 0.635 0.64 0.645 0.65 0.655 0.66 0.665 0.67 0.675 0.68 0.685
## 3 0 0 0 0 0 0 0 0 0 0 0 0
## 4 1 1 0 0 0 0 0 0 2 1 2 1
## 5 15 3 19 6 8 7 16 3 11 2 7 6
## 6 13 3 7 6 6 0 5 0 10 0 3 3
## 7 0 2 1 0 2 0 5 0 0 0 0 1
## 8 0 0 0 0 0 0 0 0 0 0 0 0
## Sum 29 9 27 12 16 7 26 3 23 3 12 11
## volatile.acidity
## quality 0.69 0.695 0.7 0.705 0.71 0.715 0.72 0.725 0.73 0.735 0.74 0.745
## 3 0 0 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 0 1 0 0 0
## 5 14 6 6 5 2 7 4 6 5 5 5 3
## 6 9 0 4 1 1 5 1 3 0 2 6 2
## 7 0 1 0 0 0 0 0 0 0 1 0 0
## 8 0 0 0 0 0 0 0 0 0 0 0 0
## Sum 23 7 10 6 3 12 5 9 6 8 11 5
## volatile.acidity
## quality 0.75 0.755 0.76 0.765 0.77 0.775 0.78 0.785 0.79 0.795 0.8 0.805
## 3 0 0 1 0 0 0 0 0 0 0 0 0
## 4 0 1 0 1 0 0 1 1 0 0 0 0
## 5 3 1 1 2 3 3 7 3 1 1 2 1
## 6 3 1 3 2 3 1 2 4 1 1 1 0
## 7 0 0 0 0 0 0 0 0 0 0 0 0
## 8 0 0 0 0 0 0 0 0 0 0 0 0
## Sum 6 3 5 5 6 4 10 8 2 2 3 1
## volatile.acidity
## quality 0.81 0.815 0.82 0.825 0.83 0.835 0.84 0.845 0.85 0.855 0.86 0.865
## 3 0 1 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 1 0 1 1 0 0 0 0
## 5 1 1 5 0 2 3 1 0 1 0 1 0
## 6 1 0 0 1 1 0 4 0 0 3 1 1
## 7 0 1 0 0 0 1 2 0 0 0 0 0
## 8 0 0 0 0 0 0 0 0 1 0 0 0
## Sum 2 3 5 1 4 4 8 1 2 3 2 1
## volatile.acidity
## quality 0.87 0.875 0.88 0.885 0.89 0.895 0.9 0.91 0.915 0.92 0.935 0.95
## 3 0 1 0 0 0 0 0 0 0 0 0 0
## 4 1 0 1 1 0 0 0 1 1 0 1 0
## 5 3 1 4 4 1 0 2 1 2 1 1 1
## 6 0 0 0 0 0 1 1 1 0 0 0 0
## 7 0 0 0 0 0 0 0 0 1 0 0 0
## 8 0 0 0 0 0 0 0 0 0 0 0 0
## Sum 4 2 5 5 1 1 3 3 4 1 2 1
## volatile.acidity
## quality 0.955 0.96 0.965 0.975 0.98 1 1.005 1.01 1.02 1.025 1.035 1.04
## 3 0 0 0 0 1 0 0 0 1 0 0 0
## 4 1 0 0 1 0 0 0 0 2 0 0 1
## 5 0 2 3 0 1 1 1 0 0 1 1 1
## 6 0 1 0 0 1 2 0 1 1 0 0 1
## 7 0 0 0 0 0 0 0 0 0 0 0 0
## 8 0 0 0 0 0 0 0 0 0 0 0 0
## Sum 1 3 3 1 3 3 1 1 4 1 1 3
## volatile.acidity
## quality 1.07 1.09 1.115 1.13 1.18 1.185 1.24 1.33 1.58 Sum
## 3 0 0 0 0 0 1 0 0 1 10
## 4 0 1 1 1 0 0 0 0 0 53
## 5 1 0 0 0 1 0 1 2 0 681
## 6 0 0 0 0 0 0 0 0 0 638
## 7 0 0 0 0 0 0 0 0 0 199
## 8 0 0 0 0 0 0 0 0 0 18
## Sum 1 1 1 1 1 1 1 2 1 1599chisq.test(mytable)## Warning in chisq.test(mytable): Chi-squared approximation may be incorrect##
## Pearson's Chi-squared test
##
## data: mytable
## X-squared = 1589.2, df = 710, p-value < 2.2e-16grid.arrange(ggplot(aes(x=factor(quality), y=volatile.acidity), data=redwine)+ geom_jitter(alpha=0.3)+
geom_boxplot(alpha=0.5, color='blue')+
stat_summary(fun.y='median',
geom='point',
color='red',
shape=8,
size=4))
ggplot(data = redwine,
aes(x = volatile.acidity)) +
geom_histogram(aes(fill = factor(quality)),
binwidth = 0.1,
position = 'dodge') +
scale_fill_brewer(name = 'Quality Score', type = 'seq', palette = 11) +
ggtitle('Volatile Acidity Distribution by Quality Score') +
scale_x_continuous(lim = c(0.1, 1.2), breaks = seq(.1, 1.2, 0.1)) +
xlab('Volatile Acidity (g / dm^3)') +
ylab('Number of Wines')## Warning: Removed 4 rows containing non-finite values (stat_bin).## Warning: Removed 6 rows containing missing values (geom_bar).
mytable<-xtabs(~pH+alcohol, data = redwine)
addmargins(mytable)## alcohol
## pH 8.4 8.5 8.7 8.8 9 9.05 9.1 9.2 9.23333333333333 9.25 9.3
## 2.74 0 0 0 0 0 0 0 0 0 0 0
## 2.86 1 0 0 0 0 0 0 0 0 0 0
## 2.87 0 0 0 0 0 0 0 0 0 0 0
## 2.88 0 0 0 0 0 0 0 0 0 0 0
## 2.89 0 0 0 0 0 0 0 0 0 0 0
## 2.9 0 0 0 0 0 0 1 0 0 0 0
## 2.92 0 0 0 0 0 0 0 0 0 0 0
## 2.93 0 0 0 0 0 0 0 0 0 0 0
## 2.94 0 0 0 0 0 0 0 2 0 0 0
## 2.95 0 0 0 0 0 0 0 0 0 0 0
## 2.98 0 0 0 0 0 0 0 1 0 0 0
## 2.99 0 0 0 0 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0 2 0 0 2
## 3.01 0 0 0 0 0 0 0 0 0 0 0
## 3.02 0 0 0 0 0 0 0 1 0 0 1
## 3.03 0 0 0 0 1 0 0 1 0 0 0
## 3.04 0 0 0 0 0 0 0 1 0 0 2
## 3.05 0 0 0 0 0 0 0 1 0 0 0
## 3.06 0 0 0 0 1 0 1 0 0 0 0
## 3.07 0 0 0 0 0 0 0 2 0 0 0
## 3.08 0 0 0 0 1 0 1 1 0 0 4
## 3.09 0 0 0 0 0 0 1 0 0 0 2
## 3.1 0 0 0 0 2 0 0 3 0 0 2
## 3.11 0 0 0 0 0 0 0 0 0 0 2
## 3.12 0 0 0 0 0 0 1 3 0 0 4
## 3.13 0 0 0 0 0 0 2 1 0 0 0
## 3.14 0 0 0 0 0 0 1 0 0 0 0
## 3.15 0 1 0 0 0 0 2 1 0 0 0
## 3.16 1 0 0 2 1 0 2 3 0 0 0
## 3.17 0 0 0 0 0 0 1 3 0 0 0
## 3.18 0 0 0 0 2 0 0 0 0 0 0
## 3.19 0 0 0 0 0 0 0 3 0 0 0
## 3.2 0 0 0 0 0 0 0 5 0 0 1
## 3.21 0 0 0 0 0 0 0 0 0 0 3
## 3.22 0 0 0 0 0 0 0 1 0 0 2
## 3.23 0 0 0 0 0 0 0 1 0 0 1
## 3.24 0 0 0 0 0 0 0 0 0 0 2
## 3.25 0 0 0 0 1 0 0 3 0 0 0
## 3.26 0 0 0 0 0 0 2 2 0 0 4
## 3.27 0 0 0 0 0 0 0 0 0 0 6
## 3.28 0 0 0 0 0 0 0 2 0 0 1
## 3.29 0 0 0 0 1 0 0 6 0 0 4
## 3.3 0 0 0 0 4 0 0 0 0 0 1
## 3.31 0 0 0 0 1 0 0 2 0 0 1
## 3.32 0 0 1 0 4 0 0 2 0 0 2
## 3.33 0 0 0 0 0 0 0 0 0 0 0
## 3.34 0 0 1 0 0 0 0 6 0 0 2
## 3.35 0 0 0 0 0 0 0 1 0 0 1
## 3.36 0 0 0 0 0 0 6 0 0 0 0
## 3.37 0 0 0 0 4 0 0 1 0 0 0
## 3.38 0 0 0 0 1 0 0 1 0 0 0
## 3.39 0 0 0 0 1 1 0 1 0 0 1
## 3.4 0 0 0 0 0 0 0 0 0 0 0
## 3.41 0 0 0 0 2 0 0 2 0 0 0
## 3.42 0 0 0 0 0 0 0 1 0 0 0
## 3.43 0 0 0 0 2 0 0 1 0 0 0
## 3.44 0 0 0 0 0 0 1 1 0 0 1
## 3.45 0 0 0 0 0 0 0 0 0 0 0
## 3.46 0 0 0 0 0 0 0 1 0 0 1
## 3.47 0 0 0 0 0 0 0 0 0 0 0
## 3.48 0 0 0 0 1 0 1 1 0 0 2
## 3.49 0 0 0 0 0 0 0 2 0 0 0
## 3.5 0 0 0 0 0 0 0 0 0 0 1
## 3.51 0 0 0 0 0 0 0 0 0 0 0
## 3.52 0 0 0 0 0 0 0 0 0 0 1
## 3.53 0 0 0 0 0 0 0 0 1 1 0
## 3.54 0 0 0 0 0 0 0 0 0 0 1
## 3.55 0 0 0 0 0 0 0 0 0 0 0
## 3.56 0 0 0 0 0 0 0 0 0 0 0
## 3.57 0 0 0 0 0 0 0 0 0 0 0
## 3.58 0 0 0 0 0 0 0 0 0 0 0
## 3.59 0 0 0 0 0 0 0 0 0 0 1
## 3.6 0 0 0 0 0 0 0 0 0 0 0
## 3.61 0 0 0 0 0 0 0 0 0 0 0
## 3.62 0 0 0 0 0 0 0 0 0 0 0
## 3.63 0 0 0 0 0 0 0 0 0 0 0
## 3.66 0 0 0 0 0 0 0 0 0 0 0
## 3.67 0 0 0 0 0 0 0 0 0 0 0
## 3.68 0 0 0 0 0 0 0 0 0 0 0
## 3.69 0 0 0 0 0 0 0 0 0 0 0
## 3.7 0 0 0 0 0 0 0 0 0 0 0
## 3.71 0 0 0 0 0 0 0 0 0 0 0
## 3.72 0 0 0 0 0 0 0 0 0 0 0
## 3.74 0 0 0 0 0 0 0 0 0 0 0
## 3.75 0 0 0 0 0 0 0 0 0 0 0
## 3.78 0 0 0 0 0 0 0 0 0 0 0
## 3.85 0 0 0 0 0 0 0 0 0 0 0
## 3.9 0 0 0 0 0 0 0 0 0 0 0
## 4.01 0 0 0 0 0 0 0 0 0 0 0
## Sum 2 1 2 2 30 1 23 72 1 1 59
## alcohol
## pH 9.4 9.5 9.55 9.56666666666667 9.6 9.7 9.8 9.9 9.95 10
## 2.74 1 0 0 0 0 0 0 0 0 0
## 2.86 0 0 0 0 0 0 0 0 0 0
## 2.87 0 0 0 0 0 0 0 0 0 0
## 2.88 0 0 0 0 0 1 1 0 0 0
## 2.89 0 0 0 0 2 0 0 0 0 0
## 2.9 0 0 0 0 0 0 0 0 0 0
## 2.92 0 0 0 0 0 0 0 0 0 0
## 2.93 0 0 0 0 0 0 1 2 0 0
## 2.94 0 1 0 0 0 0 0 0 0 0
## 2.95 0 0 0 0 0 0 0 0 0 0
## 2.98 1 0 0 0 0 0 0 1 0 0
## 2.99 0 0 0 0 0 0 0 0 0 0
## 3 0 1 0 0 0 0 0 0 0 0
## 3.01 1 0 0 0 0 0 0 0 0 0
## 3.02 0 1 0 0 0 0 0 2 0 0
## 3.03 0 0 0 0 0 1 1 1 0 0
## 3.04 2 1 0 0 1 0 0 0 0 0
## 3.05 0 2 0 0 1 0 0 0 0 1
## 3.06 1 0 0 0 0 0 0 0 0 2
## 3.07 0 0 0 0 0 0 0 0 0 2
## 3.08 0 1 0 0 0 0 1 0 0 0
## 3.09 2 0 0 0 0 1 0 0 0 1
## 3.1 1 0 0 0 1 1 0 0 0 0
## 3.11 0 0 0 0 0 0 1 0 0 2
## 3.12 0 1 0 0 1 0 0 1 0 2
## 3.13 1 2 0 0 1 0 0 0 0 1
## 3.14 3 1 0 0 0 1 1 1 0 0
## 3.15 3 1 0 0 0 0 5 3 0 0
## 3.16 5 2 0 1 1 1 6 1 0 0
## 3.17 2 3 0 0 1 0 3 0 0 3
## 3.18 1 4 0 0 1 0 0 0 0 0
## 3.19 1 8 0 0 4 0 0 0 0 3
## 3.2 4 6 0 0 3 1 3 0 0 0
## 3.21 3 5 0 0 0 0 0 4 0 2
## 3.22 3 2 0 0 2 1 0 1 0 5
## 3.23 1 6 0 0 1 2 0 0 0 3
## 3.24 3 2 0 0 1 2 2 1 0 0
## 3.25 3 2 0 0 2 0 2 3 0 2
## 3.26 2 3 0 0 5 3 4 3 0 2
## 3.27 4 1 0 0 1 1 1 1 0 1
## 3.28 3 6 0 0 3 4 3 2 0 2
## 3.29 1 4 0 0 0 1 4 1 0 2
## 3.3 4 3 0 0 5 0 4 2 0 2
## 3.31 3 4 2 0 1 2 3 0 0 1
## 3.32 2 5 0 0 3 1 1 0 0 1
## 3.33 1 5 0 0 0 2 2 0 0 1
## 3.34 5 4 0 0 1 2 0 0 0 3
## 3.35 2 1 0 0 0 3 1 0 0 3
## 3.36 4 6 0 0 2 1 0 0 0 2
## 3.37 3 1 0 0 2 1 0 3 0 0
## 3.38 1 6 0 0 2 0 3 2 0 1
## 3.39 6 2 0 0 4 2 3 0 0 4
## 3.4 2 4 0 0 1 2 3 1 0 1
## 3.41 2 2 0 0 0 2 0 0 0 0
## 3.42 1 4 0 0 1 0 0 0 0 2
## 3.43 0 1 0 0 0 2 0 0 0 3
## 3.44 4 1 0 0 0 0 1 0 0 1
## 3.45 3 4 0 0 0 0 1 0 0 0
## 3.46 0 7 0 0 0 0 0 1 0 1
## 3.47 2 4 0 0 1 1 0 4 0 0
## 3.48 0 1 0 0 1 2 3 0 0 1
## 3.49 0 0 0 0 0 0 0 0 0 0
## 3.5 0 0 0 0 0 2 2 1 0 0
## 3.51 3 2 0 0 0 2 0 0 0 1
## 3.52 0 3 0 0 1 1 0 0 0 0
## 3.53 0 2 0 0 0 2 1 1 0 0
## 3.54 0 0 0 0 0 0 0 0 0 1
## 3.55 0 1 0 0 0 2 1 0 1 0
## 3.56 1 0 0 0 0 0 0 0 0 0
## 3.57 0 0 0 0 0 0 1 1 0 0
## 3.58 0 0 0 0 0 0 1 1 0 0
## 3.59 0 0 0 0 0 0 3 0 0 1
## 3.6 0 0 0 0 0 0 1 1 0 0
## 3.61 0 0 0 0 0 0 2 2 0 1
## 3.62 0 0 0 0 0 0 0 1 0 0
## 3.63 0 0 0 0 0 0 0 0 0 0
## 3.66 0 0 0 0 0 0 2 0 0 0
## 3.67 0 0 0 0 1 1 0 0 0 0
## 3.68 0 0 0 0 1 0 0 0 0 0
## 3.69 2 0 0 0 0 0 0 0 0 0
## 3.7 0 0 0 0 0 0 0 0 0 0
## 3.71 0 0 0 0 0 0 0 0 0 0
## 3.72 0 0 0 0 0 0 0 0 0 0
## 3.74 0 0 0 0 0 0 0 0 0 0
## 3.75 0 0 0 0 0 0 0 0 0 0
## 3.78 0 0 0 0 0 0 0 0 0 0
## 3.85 0 0 0 0 0 0 0 0 0 0
## 3.9 0 0 0 0 0 0 0 0 0 0
## 4.01 0 0 0 0 0 0 0 0 0 0
## Sum 103 139 2 1 59 54 78 49 1 67
## alcohol
## pH 10.0333333333333 10.1 10.2 10.3 10.4 10.5 10.55 10.6 10.7 10.75
## 2.74 0 0 0 0 0 0 0 0 0 0
## 2.86 0 0 0 0 0 0 0 0 0 0
## 2.87 0 0 1 0 0 0 0 0 0 0
## 2.88 0 0 0 0 0 0 0 0 0 0
## 2.89 0 0 0 0 0 0 0 0 0 0
## 2.9 0 0 0 0 0 0 0 0 0 0
## 2.92 0 0 0 0 0 1 0 0 0 0
## 2.93 0 0 0 0 0 0 0 0 0 0
## 2.94 0 0 1 0 0 0 0 0 0 0
## 2.95 0 0 0 0 0 0 0 0 0 0
## 2.98 0 0 0 0 0 0 0 0 0 0
## 2.99 0 0 2 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0 0 0 0
## 3.01 0 0 0 0 0 0 0 0 0 0
## 3.02 0 0 0 0 0 0 0 0 0 0
## 3.03 0 0 1 0 0 0 0 0 0 0
## 3.04 0 1 1 0 0 0 0 0 0 0
## 3.05 0 0 0 0 0 1 0 1 0 0
## 3.06 0 1 0 0 0 0 0 0 0 0
## 3.07 2 0 0 1 1 1 0 0 0 0
## 3.08 0 1 0 0 0 0 0 0 0 0
## 3.09 0 0 0 0 0 0 0 0 0 0
## 3.1 0 0 0 1 3 2 0 0 0 0
## 3.11 0 1 0 0 0 0 0 0 0 0
## 3.12 0 0 0 0 1 0 0 1 1 0
## 3.13 0 0 1 0 2 0 0 0 0 0
## 3.14 0 0 2 0 1 0 0 0 0 0
## 3.15 0 0 0 0 2 4 0 1 0 0
## 3.16 0 0 0 2 0 0 0 0 0 0
## 3.17 0 0 1 0 1 1 0 1 0 0
## 3.18 0 2 2 1 1 0 0 1 0 0
## 3.19 0 1 0 0 0 0 0 0 0 0
## 3.2 0 0 3 0 0 1 0 0 0 0
## 3.21 0 0 3 0 0 2 0 0 0 0
## 3.22 0 2 0 3 0 0 0 0 0 0
## 3.23 0 1 0 0 0 1 0 0 0 0
## 3.24 0 0 0 1 2 1 0 1 0 0
## 3.25 0 0 1 1 1 1 0 0 0 0
## 3.26 0 1 3 0 0 0 0 3 1 0
## 3.27 0 0 0 0 0 0 0 0 0 0
## 3.28 0 3 0 0 0 0 0 0 1 0
## 3.29 0 6 1 0 1 0 0 0 2 0
## 3.3 0 2 3 1 3 3 1 0 1 1
## 3.31 0 2 0 1 2 2 0 1 3 0
## 3.32 0 0 0 0 1 6 0 1 0 0
## 3.33 0 0 0 3 3 3 0 0 0 0
## 3.34 0 0 2 0 1 4 0 2 0 0
## 3.35 0 3 1 1 2 3 0 1 1 0
## 3.36 0 5 1 0 2 6 0 0 4 0
## 3.37 0 2 0 4 4 3 0 0 1 0
## 3.38 0 3 0 5 0 3 0 1 1 0
## 3.39 0 1 0 0 0 2 0 6 0 0
## 3.4 0 3 2 2 0 0 0 0 0 0
## 3.41 0 2 0 3 1 0 0 0 0 0
## 3.42 0 1 2 0 0 5 0 3 2 0
## 3.43 0 1 0 0 0 0 0 0 1 0
## 3.44 0 1 2 1 0 1 1 0 1 0
## 3.45 0 0 0 1 0 1 0 0 1 0
## 3.46 0 0 4 0 0 0 0 1 0 0
## 3.47 0 0 1 0 1 0 0 0 0 0
## 3.48 0 0 0 0 0 0 0 0 0 0
## 3.49 0 0 0 0 2 2 0 0 0 0
## 3.5 0 0 1 0 0 0 0 0 0 0
## 3.51 0 0 0 0 0 0 0 0 1 0
## 3.52 0 0 1 0 0 0 0 1 2 0
## 3.53 0 0 0 0 3 1 0 1 0 0
## 3.54 0 0 0 0 0 2 0 0 2 0
## 3.55 0 0 0 0 0 0 0 0 0 0
## 3.56 0 0 0 0 0 0 0 1 0 0
## 3.57 0 0 1 0 0 0 0 0 0 0
## 3.58 0 0 1 0 0 1 0 0 0 0
## 3.59 0 0 0 0 0 0 0 0 0 0
## 3.6 0 0 1 1 0 0 0 0 0 0
## 3.61 0 0 0 0 0 0 0 0 0 0
## 3.62 0 0 0 0 0 0 0 0 0 0
## 3.63 0 0 0 0 0 0 0 0 1 0
## 3.66 0 1 0 0 0 0 0 0 0 0
## 3.67 0 0 0 0 0 0 0 0 0 0
## 3.68 0 0 0 0 0 0 0 0 0 0
## 3.69 0 0 0 0 0 2 0 0 0 0
## 3.7 0 0 0 0 0 0 0 0 0 0
## 3.71 0 0 0 0 0 0 0 0 0 0
## 3.72 0 0 0 0 0 0 0 0 0 0
## 3.74 0 0 0 0 0 0 0 0 0 0
## 3.75 0 0 0 0 0 1 0 0 0 0
## 3.78 0 0 0 0 0 0 0 0 0 0
## 3.85 0 0 0 0 0 0 0 0 0 0
## 3.9 0 0 0 0 0 0 0 0 0 0
## 4.01 0 0 0 0 0 0 0 0 0 0
## Sum 2 47 46 33 41 67 2 28 27 1
## alcohol
## pH 10.8 10.9 11 11.0666666666667 11.1 11.2 11.3 11.4 11.5 11.6 11.7
## 2.74 0 0 0 0 0 0 0 0 0 0 0
## 2.86 0 0 0 0 0 0 0 0 0 0 0
## 2.87 0 0 0 0 0 0 0 0 0 0 0
## 2.88 0 0 0 0 0 0 0 0 0 0 0
## 2.89 0 0 0 0 0 0 0 0 0 0 0
## 2.9 0 0 0 0 0 0 0 0 0 0 0
## 2.92 0 0 0 0 3 0 0 0 0 0 0
## 2.93 0 0 0 0 0 0 0 0 0 0 0
## 2.94 0 0 0 0 0 0 0 0 0 0 0
## 2.95 0 0 0 0 0 1 0 0 0 0 0
## 2.98 0 0 0 0 0 0 0 0 0 0 0
## 2.99 0 0 0 0 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0 0 0 0 0
## 3.01 1 0 0 0 0 0 0 0 0 0 0
## 3.02 0 2 0 0 0 0 0 0 0 0 0
## 3.03 0 0 0 0 0 0 0 0 0 0 0
## 3.04 0 0 0 0 0 0 0 1 0 0 0
## 3.05 0 0 0 0 0 0 0 0 1 0 0
## 3.06 0 0 1 0 0 0 1 1 0 0 0
## 3.07 0 0 0 0 0 0 0 0 0 0 2
## 3.08 0 1 0 0 0 0 0 0 0 0 0
## 3.09 0 1 1 0 0 0 0 0 0 0 0
## 3.1 2 0 0 0 0 0 0 1 0 0 0
## 3.11 1 0 0 0 0 0 0 0 0 0 0
## 3.12 0 0 0 0 0 1 0 0 1 0 0
## 3.13 0 0 1 0 0 0 0 0 0 0 0
## 3.14 0 2 1 0 2 0 1 2 1 0 0
## 3.15 0 1 5 0 0 1 0 1 0 0 1
## 3.16 1 0 0 0 2 0 1 0 2 0 0
## 3.17 1 0 0 0 0 2 0 0 0 0 0
## 3.18 1 3 4 0 1 2 0 1 0 0 0
## 3.19 0 0 0 0 0 0 1 2 0 1 0
## 3.2 2 1 0 0 0 0 0 1 0 0 0
## 3.21 1 3 1 0 0 0 2 0 0 1 0
## 3.22 0 2 0 0 0 3 0 2 0 1 1
## 3.23 0 1 0 0 2 0 3 0 0 1 0
## 3.24 4 1 0 0 0 2 0 1 0 0 1
## 3.25 1 0 0 0 0 0 0 0 0 0 0
## 3.26 0 0 2 0 0 2 1 0 0 0 6
## 3.27 1 1 5 0 0 1 0 0 0 0 2
## 3.28 0 0 0 0 1 0 2 0 3 0 0
## 3.29 2 3 1 0 1 1 0 0 2 1 0
## 3.3 1 0 2 0 0 2 0 2 2 0 0
## 3.31 2 0 1 0 0 1 1 0 0 0 0
## 3.32 1 0 3 1 2 0 0 1 1 1 0
## 3.33 0 3 1 0 2 1 1 0 0 0 0
## 3.34 1 0 1 0 0 1 0 1 0 1 1
## 3.35 2 0 1 0 0 0 1 1 0 1 1
## 3.36 2 4 3 0 0 1 0 2 0 0 0
## 3.37 0 0 1 0 0 1 2 0 2 0 0
## 3.38 2 1 1 0 1 0 3 0 0 1 2
## 3.39 0 2 3 0 0 0 0 2 0 1 0
## 3.4 0 5 5 0 0 3 1 0 0 0 0
## 3.41 3 2 1 0 2 1 1 0 0 0 0
## 3.42 2 0 3 0 1 0 2 0 2 0 1
## 3.43 1 0 0 0 1 1 1 0 1 0 0
## 3.44 1 1 0 0 1 0 2 1 2 0 0
## 3.45 0 0 0 0 0 2 1 0 3 0 0
## 3.46 0 0 2 0 0 0 0 0 0 0 0
## 3.47 0 3 2 0 0 0 1 0 0 0 0
## 3.48 0 0 1 0 0 0 0 1 1 2 1
## 3.49 0 0 0 0 0 0 0 1 0 1 0
## 3.5 0 2 1 0 1 1 0 0 0 0 0
## 3.51 1 0 1 0 0 0 1 1 1 0 1
## 3.52 0 0 1 0 0 1 0 1 0 0 0
## 3.53 1 2 0 0 1 0 0 0 0 0 0
## 3.54 0 1 2 0 0 1 2 0 0 0 0
## 3.55 0 1 0 0 0 0 0 0 0 0 0
## 3.56 2 0 0 0 2 0 0 0 0 1 0
## 3.57 0 0 0 0 0 0 0 0 0 0 2
## 3.58 2 0 0 0 0 1 0 0 0 0 0
## 3.59 0 0 0 0 0 1 0 1 1 0 0
## 3.6 0 0 0 0 1 1 0 0 0 0 1
## 3.61 0 0 0 0 0 0 0 1 1 0 0
## 3.62 0 0 1 0 0 0 0 0 1 0 0
## 3.63 0 0 0 0 0 0 0 0 0 0 0
## 3.66 0 0 0 0 0 0 0 0 1 0 0
## 3.67 0 0 0 0 0 0 0 0 0 1 0
## 3.68 0 0 0 0 0 0 0 1 0 0 0
## 3.69 0 0 0 0 0 0 0 0 0 0 0
## 3.7 0 0 0 0 0 0 0 0 0 0 0
## 3.71 0 0 0 0 0 0 0 0 0 0 0
## 3.72 0 0 0 0 0 0 0 2 0 0 0
## 3.74 0 0 0 0 0 0 0 0 1 0 0
## 3.75 0 0 0 0 0 0 0 0 0 0 0
## 3.78 0 0 0 0 0 0 0 0 0 0 0
## 3.85 0 0 0 0 0 0 0 0 0 0 0
## 3.9 0 0 0 0 0 0 0 0 0 0 0
## 4.01 0 0 0 0 0 0 0 0 0 0 0
## Sum 42 49 59 1 27 36 32 32 30 15 23
## alcohol
## pH 11.8 11.9 11.95 12 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9
## 2.74 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2.86 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2.87 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2.88 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2.89 0 0 0 0 0 0 0 0 0 0 2 0 0
## 2.9 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2.92 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2.93 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2.94 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2.95 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2.98 1 0 0 0 0 0 0 0 0 0 0 0 0
## 2.99 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0 0 0 0 0 1 0
## 3.01 1 0 0 0 0 0 2 0 0 0 0 0 0
## 3.02 0 0 0 1 0 0 0 0 0 0 0 0 0
## 3.03 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.04 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.05 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.06 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.07 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.08 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.09 2 0 0 0 0 0 0 0 0 0 0 0 0
## 3.1 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.11 0 0 0 0 0 0 0 1 0 0 0 0 0
## 3.12 1 0 0 1 0 0 0 0 0 0 0 0 0
## 3.13 0 1 0 0 0 0 0 0 0 0 0 0 0
## 3.14 1 0 0 0 0 0 0 0 0 0 0 0 0
## 3.15 0 0 0 0 1 0 0 0 1 0 0 0 0
## 3.16 1 0 0 0 0 0 0 0 1 0 0 0 0
## 3.17 0 0 0 2 0 1 0 0 1 0 0 0 0
## 3.18 1 1 0 0 0 0 0 0 0 0 0 0 0
## 3.19 0 0 0 0 0 0 0 0 1 0 0 0 0
## 3.2 0 2 0 3 1 1 0 0 0 0 0 0 0
## 3.21 1 0 0 1 2 0 1 0 1 0 0 0 0
## 3.22 1 0 0 1 0 1 0 0 1 0 0 1 0
## 3.23 0 0 0 4 0 0 0 0 2 1 0 0 0
## 3.24 0 0 0 0 1 0 0 0 0 1 0 0 0
## 3.25 0 2 0 0 0 0 1 0 0 0 0 0 0
## 3.26 2 0 0 0 0 0 0 2 0 0 0 0 0
## 3.27 0 1 0 0 1 1 2 1 1 1 0 1 0
## 3.28 2 1 0 1 0 0 0 1 1 0 0 0 0
## 3.29 0 0 0 1 0 0 0 0 0 0 0 0 0
## 3.3 1 0 0 1 1 0 0 1 0 0 2 1 0
## 3.31 1 0 0 0 0 0 0 0 2 0 0 0 0
## 3.32 1 1 0 0 0 0 0 1 0 0 0 0 0
## 3.33 1 2 0 2 0 1 0 0 0 0 0 3 0
## 3.34 0 0 0 0 0 1 0 0 0 0 0 0 2
## 3.35 0 0 0 2 2 0 0 1 1 0 1 1 0
## 3.36 0 1 0 0 0 1 0 1 0 0 0 2 0
## 3.37 1 0 0 0 0 0 0 1 0 0 0 0 0
## 3.38 3 1 0 0 0 0 0 0 0 1 1 0 0
## 3.39 2 0 0 0 0 0 0 1 0 0 0 2 0
## 3.4 1 0 0 0 0 0 0 0 1 0 0 0 0
## 3.41 2 3 0 0 1 0 0 0 0 1 0 1 0
## 3.42 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.43 0 0 0 0 0 0 0 0 0 1 0 0 0
## 3.44 0 1 0 0 1 1 1 0 0 0 0 0 0
## 3.45 1 0 0 0 0 1 1 0 0 0 0 0 0
## 3.46 1 0 0 0 0 0 0 0 1 0 1 0 1
## 3.47 0 0 0 0 0 0 0 0 0 0 0 0 1
## 3.48 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.49 0 0 0 0 1 0 0 0 0 0 0 0 0
## 3.5 0 1 0 0 0 0 0 0 0 0 0 0 0
## 3.51 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.52 0 0 0 0 0 1 2 1 0 0 0 0 1
## 3.53 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.54 0 1 0 0 0 1 0 0 0 0 0 0 0
## 3.55 0 0 0 0 1 0 0 0 0 0 0 1 0
## 3.56 0 0 0 0 0 0 0 0 0 0 1 0 3
## 3.57 0 1 1 1 0 0 0 0 1 0 0 0 0
## 3.58 0 0 0 0 0 0 1 0 2 0 0 0 0
## 3.59 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.6 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.61 0 0 0 0 0 0 0 0 0 0 1 0 0
## 3.62 0 0 0 0 0 0 0 1 0 0 0 0 0
## 3.63 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.66 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.67 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.68 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.69 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.7 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.71 0 0 0 0 0 1 0 0 0 0 0 2 0
## 3.72 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.74 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.75 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.78 0 0 0 0 0 0 1 0 1 0 0 0 0
## 3.85 0 0 0 0 0 0 0 0 0 0 0 0 1
## 3.9 0 0 0 0 0 0 0 0 0 0 0 1 0
## 4.01 0 0 0 0 0 0 0 0 2 0 0 0 0
## Sum 29 20 1 21 13 12 12 13 21 6 9 17 9
## alcohol
## pH 13 13.1 13.2 13.3 13.4 13.5 13.5666666666667 13.6 14 14.9 Sum
## 2.74 0 0 0 0 0 0 0 0 0 0 1
## 2.86 0 0 0 0 0 0 0 0 0 0 1
## 2.87 0 0 0 0 0 0 0 0 0 0 1
## 2.88 0 0 0 0 0 0 0 0 0 0 2
## 2.89 0 0 0 0 0 0 0 0 0 0 4
## 2.9 0 0 0 0 0 0 0 0 0 0 1
## 2.92 0 0 0 0 0 0 0 0 0 0 4
## 2.93 0 0 0 0 0 0 0 0 0 0 3
## 2.94 0 0 0 0 0 0 0 0 0 0 4
## 2.95 0 0 0 0 0 0 0 0 0 0 1
## 2.98 0 0 0 0 0 0 0 0 0 1 5
## 2.99 0 0 0 0 0 0 0 0 0 0 2
## 3 0 0 0 0 0 0 0 0 0 0 6
## 3.01 0 0 0 0 0 0 0 0 0 0 5
## 3.02 0 0 0 0 0 0 0 0 0 0 8
## 3.03 0 0 0 0 0 0 0 0 0 0 6
## 3.04 0 0 0 0 0 0 0 0 0 0 10
## 3.05 0 0 0 0 0 0 0 0 0 0 8
## 3.06 0 0 0 0 1 0 0 0 0 0 10
## 3.07 0 0 0 0 0 0 0 0 0 0 11
## 3.08 0 0 0 0 0 0 0 0 0 0 11
## 3.09 0 0 0 0 0 0 0 0 0 0 11
## 3.1 0 0 0 0 0 0 0 0 0 0 19
## 3.11 0 0 0 1 0 0 0 0 0 0 9
## 3.12 0 0 0 0 0 0 0 0 0 0 20
## 3.13 0 0 0 0 0 0 0 0 0 0 13
## 3.14 0 0 0 0 0 0 0 0 0 0 21
## 3.15 0 0 0 0 0 0 0 0 0 0 34
## 3.16 0 0 0 0 0 0 0 0 0 0 36
## 3.17 0 0 0 0 0 0 0 0 0 0 27
## 3.18 1 0 0 0 0 0 0 0 0 0 30
## 3.19 0 0 0 0 0 0 0 0 0 0 25
## 3.2 0 1 0 0 0 0 0 0 0 0 39
## 3.21 0 0 0 0 0 0 0 0 0 0 36
## 3.22 2 0 0 0 1 0 0 0 0 0 39
## 3.23 0 0 1 0 0 0 0 0 0 0 32
## 3.24 0 0 0 0 0 0 0 0 0 0 29
## 3.25 0 0 0 0 0 0 0 0 0 0 26
## 3.26 0 0 0 0 0 0 0 0 0 0 53
## 3.27 0 0 0 0 0 0 0 0 0 0 35
## 3.28 0 0 0 0 0 0 0 0 0 0 42
## 3.29 0 0 0 0 0 0 0 0 0 0 46
## 3.3 0 0 0 1 0 0 0 0 0 0 57
## 3.31 0 0 0 0 0 0 0 0 0 0 39
## 3.32 0 0 0 0 1 0 0 0 1 0 45
## 3.33 0 0 0 0 0 0 0 0 0 0 37
## 3.34 0 0 0 1 0 0 0 0 0 0 43
## 3.35 0 0 0 0 0 0 0 0 0 0 39
## 3.36 0 0 0 0 0 0 0 0 0 0 56
## 3.37 0 0 0 0 0 0 0 0 0 0 37
## 3.38 0 0 0 0 0 0 0 1 0 0 48
## 3.39 0 0 0 0 0 1 0 0 0 0 48
## 3.4 0 0 0 0 0 0 0 0 0 0 37
## 3.41 0 0 0 0 0 0 0 0 0 0 34
## 3.42 0 0 0 0 0 0 0 0 0 0 33
## 3.43 0 0 0 0 0 0 0 0 0 0 17
## 3.44 0 0 0 0 0 0 0 0 0 0 29
## 3.45 0 0 0 0 0 0 0 0 0 0 20
## 3.46 0 0 0 0 0 0 0 0 0 0 22
## 3.47 0 0 0 0 0 0 0 0 0 0 21
## 3.48 0 0 0 0 0 0 0 0 0 0 19
## 3.49 0 0 0 0 0 0 0 1 0 0 10
## 3.5 0 0 0 0 0 0 0 0 1 0 14
## 3.51 0 0 0 0 0 0 0 0 0 0 15
## 3.52 0 0 0 0 0 0 0 0 0 0 18
## 3.53 0 0 0 0 0 0 0 0 0 0 17
## 3.54 0 0 0 0 0 0 1 1 0 0 16
## 3.55 0 0 0 0 0 0 0 0 0 0 8
## 3.56 0 0 0 0 0 0 0 0 0 0 11
## 3.57 1 0 0 0 0 0 0 0 0 0 10
## 3.58 0 0 0 0 0 0 0 0 0 0 10
## 3.59 0 0 0 0 0 0 0 0 0 0 8
## 3.6 0 0 0 0 0 0 0 0 0 0 7
## 3.61 0 0 0 0 0 0 0 0 0 0 8
## 3.62 0 0 0 0 0 0 0 0 0 0 4
## 3.63 2 0 0 0 0 0 0 0 0 0 3
## 3.66 0 0 0 0 0 0 0 0 0 0 4
## 3.67 0 0 0 0 0 0 0 0 0 0 3
## 3.68 0 0 0 0 0 0 0 1 2 0 5
## 3.69 0 0 0 0 0 0 0 0 0 0 4
## 3.7 0 0 0 0 0 0 0 0 1 0 1
## 3.71 0 0 0 0 0 0 0 0 1 0 4
## 3.72 0 0 0 0 0 0 0 0 1 0 3
## 3.74 0 0 0 0 0 0 0 0 0 0 1
## 3.75 0 0 0 0 0 0 0 0 0 0 1
## 3.78 0 0 0 0 0 0 0 0 0 0 2
## 3.85 0 0 0 0 0 0 0 0 0 0 1
## 3.9 0 1 0 0 0 0 0 0 0 0 2
## 4.01 0 0 0 0 0 0 0 0 0 0 2
## Sum 6 2 1 3 3 1 1 4 7 1 1599chisq.test(mytable)## Warning in chisq.test(mytable): Chi-squared approximation may be incorrect##
## Pearson's Chi-squared test
##
## data: mytable
## X-squared = 9140.4, df = 5632, p-value < 2.2e-16ggplot(data=redwine, aes(x=pH, y=alcohol))+ geom_point()+ geom_smooth() ## `geom_smooth()` using method = 'gam'
mytable<-xtabs(~density+alcohol, data = redwine)
addmargins(mytable)## alcohol
## density 8.4 8.5 8.7 8.8 9 9.05 9.1 9.2 9.23333333333333 9.25
## 0.99007 0 0 0 0 0 0 0 0 0 0
## 0.9902 0 0 0 0 0 0 0 0 0 0
## 0.99064 0 0 0 0 0 0 0 0 0 0
## 0.9908 0 0 0 0 0 0 0 0 0 0
## 0.99084 0 0 0 0 0 0 0 0 0 0
## 0.9912 0 0 0 0 0 0 0 0 0 0
## 0.9915 0 0 0 0 0 0 0 0 0 0
## 0.99154 0 0 0 0 0 0 0 0 0 0
## 0.99157 0 0 0 0 0 0 0 0 0 0
## 0.9916 0 0 0 0 0 0 0 0 0 0
## 0.99162 0 0 0 0 0 0 0 0 0 0
## 0.9917 0 0 0 0 0 0 0 0 0 0
## 0.99182 0 0 0 0 0 0 0 0 0 0
## 0.99191 0 0 0 0 0 0 0 0 0 0
## 0.9921 0 0 0 0 0 0 0 0 0 0
## 0.9922 0 0 0 0 0 0 0 0 0 0
## 0.99235 0 0 0 0 0 0 0 0 0 0
## 0.99236 0 0 0 0 0 0 0 0 0 0
## 0.9924 0 0 0 0 0 0 0 0 0 0
## 0.99242 0 0 0 0 0 0 0 0 0 0
## 0.99252 0 0 0 0 0 0 0 0 0 0
## 0.99256 0 0 0 0 0 0 0 0 0 0
## 0.99258 0 0 0 0 0 0 0 0 0 0
## 0.99264 0 0 0 0 0 0 0 0 0 0
## 0.9927 0 0 0 0 0 0 0 0 0 0
## 0.9928 0 0 0 0 0 0 0 0 0 0
## 0.99286 0 0 0 0 0 0 0 0 0 0
## 0.9929 0 0 0 0 0 0 0 0 0 0
## 0.99292 0 0 0 0 0 0 0 0 0 0
## 0.99294 0 0 0 0 0 0 0 0 0 0
## 0.99306 0 0 0 0 0 0 0 0 0 0
## 0.99314 0 0 0 0 0 0 0 0 0 0
## 0.99316 0 0 0 0 0 0 0 0 0 0
## 0.99318 0 0 0 0 0 0 0 0 0 0
## 0.9932 0 0 0 0 0 0 0 0 0 0
## 0.99322 0 0 0 0 0 0 0 0 0 0
## 0.99323 0 0 0 0 0 0 0 0 0 0
## 0.99328 0 0 0 0 0 0 0 0 0 0
## 0.9933 0 0 0 0 0 0 0 0 0 0
## 0.99331 0 0 0 0 0 0 0 0 0 0
## 0.99332 0 0 0 0 0 0 0 0 0 0
## 0.99334 0 0 0 0 0 0 0 0 0 0
## 0.99336 0 0 0 0 0 0 0 0 0 0
## 0.9934 0 0 0 0 0 0 0 0 0 0
## 0.99341 0 0 0 0 0 0 0 0 0 0
## 0.99344 0 0 0 0 0 0 0 0 0 0
## 0.99346 0 0 0 0 0 0 0 0 0 0
## 0.99348 0 0 0 0 0 0 0 0 0 0
## 0.9935 0 0 0 0 0 0 0 0 0 0
## 0.99352 0 0 0 0 0 0 0 0 0 0
## 0.99354 0 0 0 0 0 0 0 0 0 0
## 0.99356 0 0 0 0 0 0 0 0 0 0
## 0.99357 0 0 0 0 0 0 0 0 0 0
## 0.99358 0 0 0 0 0 0 0 0 0 0
## 0.9936 0 0 0 0 0 0 0 0 0 0
## 0.99362 0 0 0 0 0 0 0 0 0 0
## 0.99364 0 0 0 0 0 0 0 0 0 0
## 0.9937 0 0 0 0 0 0 0 0 0 0
## 0.99371 0 0 0 0 0 0 0 0 0 0
## 0.99374 0 0 0 0 0 0 0 0 0 0
## 0.99376 0 0 0 0 0 0 0 0 0 0
## 0.99378 0 0 0 0 0 0 0 0 0 0
## 0.99379 0 0 0 0 0 0 0 0 0 0
## 0.9938 0 0 0 0 0 0 0 0 0 0
## 0.99384 0 0 0 0 0 0 0 0 0 0
## 0.99385 0 0 0 0 0 0 0 0 0 0
## 0.99386 0 0 0 0 0 0 0 0 0 0
## 0.99387 0 0 0 0 0 0 0 0 0 0
## 0.99388 0 0 0 0 0 0 0 0 0 0
## 0.99392 0 0 0 0 0 0 0 0 0 0
## 0.99394 0 0 0 0 0 0 0 0 0 0
## 0.99395 0 0 0 0 0 0 0 0 0 0
## 0.99396 0 0 0 0 0 0 0 0 0 0
## 0.99397 0 0 0 0 0 0 0 0 0 0
## 0.994 0 0 0 0 0 0 0 0 0 0
## 0.99402 0 0 0 0 0 0 0 0 0 0
## 0.99408 0 0 0 0 0 0 0 0 0 0
## 0.9941 0 0 0 0 0 0 0 0 0 0
## 0.99414 0 0 0 0 0 0 0 0 0 0
## 0.99416 0 0 0 0 0 0 0 0 0 0
## 0.99417 0 0 0 0 0 0 0 0 0 0
## 0.99418 0 0 0 0 0 0 0 0 0 0
## 0.99419 0 0 0 0 0 0 0 0 0 0
## 0.9942 0 0 0 0 0 0 0 0 0 0
## 0.99425 0 0 0 0 0 0 0 0 0 0
## 0.99426 0 0 0 0 0 0 0 0 0 0
## 0.99428 0 0 0 0 0 0 0 0 0 0
## 0.9943 0 0 0 0 0 0 0 0 0 0
## 0.99434 0 0 0 0 0 0 0 0 0 0
## 0.99437 0 0 0 0 0 0 0 0 0 0
## 0.99438 0 0 0 0 0 0 0 0 0 0
## 0.99439 0 0 0 0 0 0 0 0 0 0
## 0.9944 0 0 0 0 0 0 0 0 0 0
## 0.99444 0 0 0 0 0 0 0 0 0 0
## 0.99448 0 0 0 0 0 0 0 0 0 0
## 0.99451 0 0 0 0 0 0 0 0 0 0
## 0.99454 0 0 0 0 0 0 0 0 0 0
## 0.99456 0 0 0 0 0 0 0 0 0 0
## 0.99458 0 0 0 0 0 0 0 0 0 0
## 0.99459 0 0 0 0 0 0 0 0 0 0
## 0.9946 0 0 0 0 0 0 0 0 0 0
## 0.99462 0 0 0 0 0 0 0 0 0 0
## 0.99464 0 0 0 0 0 0 0 0 0 0
## 0.99467 0 0 0 0 0 0 0 0 0 0
## 0.99468 0 0 0 0 0 0 0 0 0 0
## 0.9947 0 0 0 0 0 0 0 0 0 0
## 0.99471 0 0 0 0 0 0 0 0 0 0
## 0.99472 0 0 0 0 0 0 0 0 0 0
## 0.99473 0 0 0 0 0 0 0 0 0 0
## 0.99474 0 0 0 0 0 0 0 0 0 0
## 0.99476 0 0 0 0 0 0 0 0 0 0
## 0.99478 0 0 0 0 0 0 0 0 0 0
## 0.99479 0 0 0 0 0 0 0 0 0 0
## 0.9948 0 0 0 0 0 0 0 0 0 0
## 0.99483 0 0 0 0 0 0 0 0 0 0
## 0.99484 0 0 0 0 0 0 0 0 0 0
## 0.99486 0 0 0 0 0 0 0 0 0 0
## 0.99488 0 0 0 0 0 0 0 0 0 0
## 0.99489 0 0 0 0 0 0 0 0 0 0
## 0.9949 0 0 0 0 0 0 0 0 0 0
## 0.99491 0 0 0 0 0 0 0 0 0 0
## 0.99492 0 0 0 0 0 0 0 0 0 0
## 0.99494 0 0 0 0 0 0 0 0 0 0
## 0.99495 0 0 0 0 0 0 0 0 0 0
## 0.99496 0 0 0 0 0 0 0 0 0 0
## 0.99498 0 0 0 0 0 0 0 0 0 0
## 0.99499 0 0 0 0 0 0 0 1 0 0
## 0.995 0 0 0 0 0 0 0 0 0 0
## 0.99501 0 0 0 0 0 0 0 0 0 0
## 0.99502 0 0 0 0 0 0 0 0 0 0
## 0.99504 0 0 0 0 0 0 0 0 0 0
## 0.99506 0 0 0 0 0 0 0 0 0 0
## 0.99508 0 0 0 0 0 0 0 0 0 0
## 0.99509 0 0 0 0 0 0 0 0 0 0
## 0.9951 0 0 0 0 0 0 0 0 0 0
## 0.99512 0 0 0 0 0 0 0 0 0 0
## 0.99514 0 0 0 0 0 0 0 0 0 0
## 0.99516 0 0 0 0 0 0 0 0 0 0
## 0.99517 0 0 0 0 0 0 0 0 0 0
## 0.99518 0 0 0 0 0 0 0 0 0 0
## 0.99519 0 0 0 0 0 0 0 0 0 0
## 0.9952 0 0 0 0 0 0 0 0 0 0
## 0.99521 0 0 0 0 0 0 0 0 0 0
## 0.99522 0 0 0 0 0 0 0 0 0 0
## 0.99523 0 0 0 0 0 0 0 0 0 0
## 0.99524 0 0 0 0 0 0 0 0 0 0
## 0.99525 0 0 0 0 0 0 0 0 0 0
## 0.99526 0 0 0 0 0 0 0 0 0 0
## 0.99528 0 0 0 0 0 0 0 0 0 0
## 0.99529 0 0 0 0 0 0 0 0 0 0
## 0.9953 0 0 0 0 0 0 0 0 0 0
## 0.99531 0 0 0 0 0 0 0 0 0 0
## 0.99532 0 0 0 0 0 0 0 0 0 0
## 0.99533 0 0 0 0 0 0 0 0 0 0
## 0.99534 0 0 0 0 0 0 0 0 0 0
## 0.99536 0 0 0 0 0 0 0 0 0 0
## 0.99538 0 0 0 0 0 0 0 0 0 0
## 0.9954 0 0 0 0 0 0 0 1 0 0
## 0.99541 0 0 0 0 0 0 0 0 0 0
## 0.99542 0 0 0 0 0 0 0 0 0 0
## 0.99543 0 0 0 0 0 0 0 0 0 0
## 0.99544 0 0 0 0 0 0 0 0 0 0
## 0.99545 0 0 0 0 0 0 0 0 0 0
## 0.99546 0 0 0 0 0 0 0 0 0 0
## 0.99547 0 0 0 0 0 0 0 0 0 0
## 0.99549 0 0 0 0 0 0 0 0 0 0
## 0.9955 0 0 0 0 0 0 0 1 0 0
## 0.99551 0 0 0 0 0 0 0 0 0 0
## 0.99552 0 0 0 0 0 0 0 0 0 0
## 0.99553 0 0 0 0 0 0 0 0 0 0
## 0.99554 0 0 0 0 0 0 1 0 0 0
## 0.99555 0 0 0 0 0 0 0 0 0 0
## 0.99556 0 0 0 0 0 0 0 0 0 0
## 0.99557 0 0 0 0 0 0 0 0 0 0
## 0.99558 0 0 0 0 0 0 0 0 0 0
## 0.9956 0 0 0 0 1 0 0 0 0 0
## 0.99562 0 0 0 0 0 0 0 0 0 0
## 0.99564 0 0 0 0 0 0 0 0 0 0
## 0.99565 0 0 0 0 0 0 0 0 0 0
## 0.99566 0 0 0 0 0 0 0 0 0 0
## 0.99568 0 0 0 0 0 0 0 0 0 0
## 0.99569 0 0 0 0 0 0 0 0 0 0
## 0.9957 0 0 0 0 0 0 0 1 0 0
## 0.99572 0 0 0 0 0 0 0 0 0 0
## 0.99573 0 0 0 0 0 0 0 0 0 0
## 0.99574 0 0 0 0 0 0 0 0 0 0
## 0.99575 0 0 0 0 0 0 0 0 0 0
## 0.99576 0 0 0 0 0 0 0 0 0 0
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## 0.99888 0 0 0 0 0 0 0 0 0 0
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## 0.99892 0 0 0 0 0 0 0 2 0 0
## 0.999 0 0 0 0 0 0 0 0 0 0
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## 0.9992 0 0 0 0 0 0 0 0 0 0
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## 0.9993 0 0 0 0 0 0 0 0 0 0
## 0.99935 0 0 0 0 0 0 0 0 0 0
## 0.99938 0 0 0 0 0 0 0 0 0 0
## 0.99939 0 0 0 0 0 0 0 0 0 0
## 0.9994 1 0 0 0 0 0 0 0 0 0
## 0.9995 0 0 0 0 0 0 0 0 0 0
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## 0.99974 0 0 0 0 0 0 0 0 0 0
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## 0.99976 0 0 0 0 0 0 0 0 0 0
## 0.9998 0 0 0 0 0 0 0 0 0 0
## 0.9999 0 0 0 0 0 0 0 0 0 0
## 1 0 0 0 0 1 0 0 3 0 0
## 1.00005 0 0 0 0 0 0 0 2 0 0
## 1.0001 0 0 0 0 0 0 0 0 0 0
## 1.00012 0 0 0 0 0 0 0 0 0 0
## 1.00015 0 0 0 0 0 0 0 0 0 0
## 1.0002 0 0 0 0 0 0 0 0 0 0
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## 1.0004 0 0 0 0 2 0 0 0 0 0
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## 1.0008 1 0 0 0 1 0 0 0 0 0
## 1.001 0 0 0 0 0 0 0 1 0 0
## 1.0014 0 0 0 0 0 0 0 0 0 0
## 1.0015 0 0 0 0 0 0 0 2 0 0
## 1.0018 0 0 0 0 0 0 0 0 0 0
## 1.0021 0 0 0 0 0 0 0 0 0 0
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## 1.0026 0 0 0 0 0 0 0 1 0 0
## 1.00289 0 0 0 0 0 0 0 0 0 0
## 1.00315 0 0 0 0 0 0 0 0 0 0
## 1.0032 0 0 0 0 0 0 0 0 0 0
## 1.00369 0 0 0 0 2 0 0 0 0 0
## Sum 2 1 2 2 30 1 23 72 1 1
## alcohol
## density 9.3 9.4 9.5 9.55 9.56666666666667 9.6 9.7 9.8 9.9 9.95
## 0.99007 0 0 0 0 0 0 0 0 0 0
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## 0.9955 2 2 0 0 0 0 0 0 0 0
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## 0.99627 0 0 0 0 0 0 0 1 0 0
## 0.99628 0 0 0 0 0 0 0 0 0 0
## 0.99629 0 0 0 0 0 0 0 0 0 0
## 0.9963 2 2 2 0 0 0 0 1 0 0
## 0.99631 0 0 0 0 0 0 0 0 0 0
## 0.99632 1 1 1 0 0 0 0 0 0 0
## 0.99633 0 0 1 0 0 0 0 0 0 0
## 0.99634 0 1 0 0 0 0 0 0 0 0
## 0.99635 0 0 0 0 0 0 0 0 0 0
## 0.99636 0 0 0 0 0 0 3 0 1 0
## 0.99638 0 0 0 0 0 0 0 1 0 0
## 0.99639 0 0 0 0 0 0 0 0 0 0
## 0.9964 1 2 6 0 0 0 2 3 0 0
## 0.99641 0 1 0 0 0 0 0 0 0 0
## 0.99642 0 1 0 0 0 0 0 0 0 0
## 0.99643 0 0 0 0 0 0 0 0 0 0
## 0.99645 0 0 0 0 0 0 0 0 0 0
## 0.99646 0 0 0 0 0 0 0 0 0 0
## 0.99647 0 0 0 0 0 0 0 0 0 0
## 0.99648 0 0 0 0 0 0 0 0 0 0
## 0.99649 0 0 0 0 0 0 0 0 0 0
## 0.9965 0 1 1 0 0 2 0 0 0 0
## 0.99651 0 0 1 0 0 0 0 0 0 0
## 0.99652 0 0 0 0 0 0 0 1 0 0
## 0.99654 0 0 1 0 0 0 0 0 0 0
## 0.99655 1 0 1 0 0 0 0 0 0 0
## 0.99656 0 0 0 0 0 0 0 3 0 0
## 0.99658 0 0 0 0 0 0 0 0 0 0
## 0.99659 0 1 0 0 0 0 0 0 0 0
## 0.9966 1 3 2 0 0 3 0 2 1 0
## 0.99661 0 0 0 0 0 0 1 0 0 0
## 0.99664 1 0 0 0 0 0 0 0 0 0
## 0.99665 0 0 0 0 0 0 0 0 0 0
## 0.99666 0 2 0 0 0 0 0 0 0 0
## 0.99667 0 0 0 0 0 0 0 0 0 0
## 0.99668 0 0 1 0 0 1 0 0 0 0
## 0.99669 0 0 0 0 0 0 0 0 0 0
## 0.9967 1 0 1 0 0 0 0 2 0 0
## 0.99672 0 0 0 0 0 0 1 0 0 0
## 0.99674 0 0 0 0 0 0 0 0 0 0
## 0.99675 1 0 0 0 0 0 0 0 0 0
## 0.99676 0 1 0 0 0 0 0 0 0 0
## 0.99677 0 0 1 0 0 0 0 0 0 0
## 0.99678 0 0 0 0 0 1 0 0 0 0
## 0.9968 4 6 10 0 0 1 2 1 0 0
## 0.99682 0 0 0 0 0 0 0 0 1 0
## 0.99683 0 0 0 0 0 0 1 0 0 0
## 0.99684 0 0 0 0 0 0 0 0 0 0
## 0.99685 0 0 3 0 0 0 0 0 0 0
## 0.99686 0 0 2 0 0 0 0 0 0 0
## 0.99688 0 0 2 0 0 0 0 0 0 0
## 0.99689 0 0 0 0 0 0 0 4 0 0
## 0.9969 3 1 5 0 0 1 0 0 0 0
## 0.99692 0 0 0 0 0 0 0 0 0 0
## 0.99693 0 1 0 0 0 0 0 0 0 0
## 0.99694 0 3 0 0 0 0 0 0 0 0
## 0.99695 0 0 0 0 0 0 0 0 0 0
## 0.99697 0 0 0 0 0 0 0 0 0 0
## 0.99698 0 0 1 0 0 0 0 0 0 0
## 0.99699 0 0 0 0 0 0 0 0 0 0
## 0.997 1 5 2 0 0 0 0 1 0 0
## 0.99701 0 0 0 0 0 0 1 0 0 0
## 0.99702 0 0 0 0 0 0 0 0 0 0
## 0.99704 0 0 0 0 0 0 0 0 0 0
## 0.99705 0 0 0 0 0 0 1 0 0 0
## 0.99706 0 0 0 0 0 0 0 0 0 0
## 0.99708 0 0 2 0 0 0 1 0 0 0
## 0.99709 0 0 0 0 0 0 0 0 0 0
## 0.9971 2 0 2 0 0 2 1 0 0 0
## 0.99712 0 0 0 0 0 0 0 3 0 0
## 0.99713 0 0 0 0 1 1 0 0 0 0
## 0.99714 0 0 0 0 0 0 0 0 1 0
## 0.99716 0 0 2 0 0 0 0 0 0 0
## 0.99717 0 0 0 0 0 0 0 0 0 0
## 0.99718 0 0 2 0 0 0 0 0 0 0
## 0.99719 0 0 0 0 0 0 0 0 0 0
## 0.9972 2 1 3 0 0 4 0 1 5 0
## 0.99721 0 0 0 0 0 0 0 0 0 0
## 0.99722 0 0 0 0 0 0 0 0 0 0
## 0.99724 0 0 0 0 0 0 0 0 0 0
## 0.99725 0 0 0 0 0 0 0 0 0 0
## 0.99726 0 0 0 0 0 0 0 1 0 0
## 0.99727 0 0 1 0 0 0 0 0 0 0
## 0.99728 0 0 0 0 0 0 0 0 0 0
## 0.99729 0 0 0 0 0 0 0 1 0 0
## 0.9973 1 2 1 0 0 2 0 2 0 0
## 0.99732 0 0 0 0 0 0 0 2 0 0
## 0.99733 0 0 0 0 0 0 0 0 0 0
## 0.99734 0 0 0 0 0 0 0 0 0 0
## 0.99735 1 1 0 0 0 0 0 0 2 0
## 0.99736 0 0 1 0 0 0 0 0 0 0
## 0.99738 0 1 0 0 0 2 0 0 0 0
## 0.99739 0 0 0 0 0 0 1 0 0 0
## 0.9974 1 6 1 0 0 2 0 2 0 0
## 0.99743 0 0 0 0 0 0 2 0 0 0
## 0.99744 0 0 0 0 0 0 2 0 0 0
## 0.99745 0 0 2 2 0 0 1 2 0 0
## 0.99746 0 0 2 0 0 1 1 1 0 0
## 0.99747 0 0 0 0 0 0 0 0 0 0
## 0.99748 0 0 0 0 0 0 1 2 0 0
## 0.9975 2 1 0 0 0 0 0 0 1 0
## 0.99752 0 0 0 0 0 0 0 0 0 0
## 0.99754 0 0 0 0 0 0 0 0 0 0
## 0.99756 0 0 0 0 0 0 0 0 0 0
## 0.99758 0 0 0 0 0 0 0 0 0 0
## 0.9976 3 7 3 0 0 4 1 1 2 0
## 0.99761 0 0 0 0 0 1 0 0 0 0
## 0.99764 0 0 1 0 0 0 0 0 0 0
## 0.99765 0 1 0 0 0 0 0 0 0 0
## 0.99768 0 1 2 0 0 0 0 0 0 0
## 0.99769 0 0 0 0 0 1 0 0 0 0
## 0.9977 0 0 0 0 0 0 0 0 1 0
## 0.99772 0 0 0 0 0 0 0 0 0 0
## 0.99774 1 0 0 0 0 0 0 0 0 0
## 0.99779 0 0 0 0 0 0 1 0 0 0
## 0.9978 1 6 4 0 0 1 0 0 0 0
## 0.99782 0 2 0 0 0 0 0 0 0 0
## 0.99783 0 0 1 0 0 0 0 0 0 0
## 0.99784 0 0 0 0 0 0 0 0 0 0
## 0.99785 0 1 0 0 0 0 0 0 0 0
## 0.99786 0 0 0 0 0 0 0 0 0 0
## 0.99787 0 0 1 0 0 0 0 0 0 0
## 0.99788 0 0 1 0 0 0 0 0 0 0
## 0.9979 0 1 1 0 0 0 1 1 2 0
## 0.99791 0 0 0 0 0 0 0 0 0 0
## 0.99796 0 0 0 0 0 0 0 0 0 0
## 0.99798 0 0 0 0 0 1 0 0 0 0
## 0.998 1 1 5 0 0 2 3 3 0 0
## 0.99801 0 0 0 0 0 0 1 0 0 0
## 0.99803 0 0 3 0 0 0 0 0 0 0
## 0.99808 0 0 0 0 0 0 0 0 0 0
## 0.9981 0 1 1 0 0 1 1 0 2 0
## 0.99814 0 0 0 0 0 0 0 0 0 0
## 0.99815 0 0 1 0 0 0 0 0 0 0
## 0.99817 0 0 0 0 0 0 0 0 0 0
## 0.99818 0 0 0 0 0 1 0 0 0 0
## 0.9982 1 2 4 0 0 1 1 4 1 0
## 0.99822 0 0 0 0 0 0 0 0 0 0
## 0.99823 0 0 0 0 0 0 0 0 0 0
## 0.99824 0 0 0 0 0 0 0 0 0 0
## 0.99828 0 0 0 0 0 0 0 0 0 0
## 0.9983 0 1 2 0 0 0 0 0 2 0
## 0.99832 0 0 0 0 0 0 0 0 1 0
## 0.99834 0 0 0 0 0 0 0 0 0 0
## 0.99836 0 0 0 0 0 0 0 0 1 0
## 0.9984 2 3 0 0 0 1 0 1 0 0
## 0.99842 0 0 0 0 0 0 0 0 0 0
## 0.99845 0 0 0 0 0 1 0 0 0 0
## 0.9985 0 0 0 0 0 0 0 0 0 0
## 0.99852 0 0 0 0 0 0 0 0 0 0
## 0.99854 0 0 0 0 0 1 0 0 0 0
## 0.99855 0 0 1 0 0 1 0 0 0 0
## 0.99859 0 0 0 0 0 0 0 0 0 0
## 0.9986 1 2 0 0 0 3 0 0 0 0
## 0.99864 0 0 0 0 0 0 1 0 0 0
## 0.99865 0 0 0 0 0 0 0 0 0 0
## 0.9987 1 2 2 0 0 0 2 1 0 0
## 0.99878 0 1 0 0 0 0 0 0 0 0
## 0.9988 1 0 1 0 0 2 1 0 0 0
## 0.99888 0 0 2 0 0 0 0 0 0 0
## 0.9989 0 0 0 0 0 0 0 0 0 0
## 0.99892 0 0 0 0 0 0 0 0 0 0
## 0.999 1 0 1 0 0 0 0 0 1 0
## 0.99901 0 0 0 0 0 0 0 0 0 0
## 0.9991 0 3 0 0 0 1 0 0 0 0
## 0.99914 0 0 0 0 0 0 0 0 0 0
## 0.99915 0 1 0 0 0 0 0 0 0 0
## 0.99918 0 1 0 0 0 0 0 0 0 0
## 0.9992 0 1 2 0 0 0 0 0 0 0
## 0.99922 0 1 0 0 0 0 0 0 0 0
## 0.99925 0 0 0 0 0 0 0 0 0 0
## 0.9993 0 1 0 0 0 0 1 0 0 0
## 0.99935 0 0 0 0 0 0 0 0 0 0
## 0.99938 0 0 1 0 0 0 0 0 0 0
## 0.99939 0 0 0 0 0 0 0 0 0 0
## 0.9994 1 2 2 0 0 2 0 0 2 0
## 0.9995 0 0 0 0 0 0 0 0 0 0
## 0.9996 0 1 0 0 0 0 0 0 2 0
## 0.99965 0 0 0 0 0 0 0 0 0 0
## 0.9997 0 0 0 0 0 0 2 1 1 0
## 0.99974 0 0 0 0 0 0 0 0 0 0
## 0.99975 0 0 0 0 0 0 1 0 0 0
## 0.99976 0 0 0 0 0 1 0 0 0 0
## 0.9998 3 1 1 0 0 0 1 1 1 0
## 0.9999 0 0 0 0 0 0 0 0 0 0
## 1 1 0 1 0 0 0 0 0 0 0
## 1.00005 0 0 0 0 0 0 0 0 0 0
## 1.0001 0 0 2 0 0 0 1 0 0 0
## 1.00012 0 0 0 0 0 0 0 0 0 0
## 1.00015 0 0 0 0 0 0 0 2 0 0
## 1.0002 1 0 0 0 0 2 1 0 0 0
## 1.00024 0 0 0 0 0 0 0 0 0 0
## 1.00025 0 0 0 0 0 0 0 1 0 0
## 1.0003 0 0 0 0 0 0 0 0 0 0
## 1.0004 0 1 2 0 0 0 0 0 1 0
## 1.0006 0 1 0 0 0 0 1 0 0 0
## 1.0008 0 0 0 0 0 0 0 0 0 0
## 1.001 1 0 0 0 0 0 0 1 0 0
## 1.0014 1 0 1 0 0 0 0 0 0 0
## 1.0015 0 0 0 0 0 0 0 0 0 0
## 1.0018 0 0 0 0 0 0 0 0 0 0
## 1.0021 0 0 0 0 0 0 0 0 0 0
## 1.0022 0 0 0 0 0 0 0 0 0 0
## 1.00242 0 0 0 0 0 0 0 0 0 0
## 1.0026 0 0 0 0 0 0 0 0 0 0
## 1.00289 1 0 0 0 0 0 0 0 0 0
## 1.00315 0 0 0 0 0 0 0 0 0 0
## 1.0032 0 0 0 0 0 0 0 0 0 0
## 1.00369 0 0 0 0 0 0 0 0 0 0
## Sum 59 103 139 2 1 59 54 78 49 1
## alcohol
## density 10 10.0333333333333 10.1 10.2 10.3 10.4 10.5 10.55 10.6 10.7
## 0.99007 0 0 0 0 0 0 0 0 0 0
## 0.9902 0 0 0 0 0 0 0 0 0 0
## 0.99064 0 0 0 0 0 0 0 0 0 0
## 0.9908 0 0 0 0 0 0 0 0 0 0
## 0.99084 0 0 0 0 0 0 0 0 0 0
## 0.9912 0 0 0 0 0 0 0 0 0 0
## 0.9915 0 0 0 0 0 0 0 0 0 0
## 0.99154 0 0 0 0 0 0 0 0 0 0
## 0.99157 0 0 0 0 0 0 0 0 0 0
## 0.9916 0 0 0 0 0 0 0 0 0 0
## 0.99162 0 0 0 0 0 0 0 0 0 0
## 0.9917 0 0 0 0 0 0 0 0 0 0
## 0.99182 0 0 0 0 0 0 0 0 0 0
## 0.99191 0 0 0 0 0 0 0 0 0 0
## 0.9921 0 0 0 0 0 0 0 0 0 0
## 0.9922 0 0 0 0 0 0 0 0 0 0
## 0.99235 0 0 0 0 0 0 0 0 0 0
## 0.99236 0 0 0 0 0 0 0 1 0 0
## 0.9924 0 0 0 0 0 0 0 0 0 0
## 0.99242 0 0 0 0 0 0 0 0 0 0
## 0.99252 0 0 0 0 0 0 0 0 0 0
## 0.99256 0 0 0 0 0 0 0 0 0 0
## 0.99258 0 0 0 0 0 0 0 0 0 0
## 0.99264 0 0 0 0 0 0 0 0 0 0
## 0.9927 0 0 0 0 0 0 0 0 0 0
## 0.9928 0 0 0 0 0 0 0 0 0 0
## 0.99286 0 0 0 0 0 0 0 0 0 0
## 0.9929 0 0 0 0 0 0 0 0 0 0
## 0.99292 0 0 0 0 0 0 0 0 0 0
## 0.99294 0 0 0 0 0 0 1 0 0 0
## 0.99306 0 0 0 0 0 0 0 0 0 0
## 0.99314 0 0 0 0 0 0 0 0 0 0
## 0.99316 0 0 0 0 0 0 0 0 0 0
## 0.99318 0 0 0 0 0 0 0 0 0 0
## 0.9932 0 0 0 0 0 0 0 0 0 0
## 0.99322 0 0 0 0 0 0 0 0 0 0
## 0.99323 0 0 0 0 0 0 0 0 0 0
## 0.99328 0 0 0 0 0 0 0 0 0 0
## 0.9933 0 0 0 0 0 0 0 0 0 0
## 0.99331 0 0 0 0 0 0 0 0 0 0
## 0.99332 0 0 0 0 0 0 0 0 0 0
## 0.99334 0 0 0 0 0 0 0 0 0 0
## 0.99336 0 0 0 0 0 0 0 0 0 0
## 0.9934 0 0 0 0 0 0 0 0 0 0
## 0.99341 0 0 0 0 0 0 0 0 0 0
## 0.99344 0 0 0 0 0 0 0 0 0 0
## 0.99346 0 0 0 0 0 0 0 0 0 0
## 0.99348 0 0 0 0 0 0 0 0 0 0
## 0.9935 0 0 0 0 0 0 0 0 0 0
## 0.99352 0 0 0 0 0 0 0 0 0 0
## 0.99354 0 0 0 0 0 0 0 0 0 0
## 0.99356 0 0 0 0 0 0 0 0 0 0
## 0.99357 0 0 0 0 0 0 0 0 0 0
## 0.99358 0 0 0 0 0 0 0 0 0 0
## 0.9936 0 0 0 0 0 0 0 0 0 0
## 0.99362 0 0 0 0 0 0 0 0 0 0
## 0.99364 0 0 0 0 0 0 0 0 0 0
## 0.9937 0 0 0 0 0 0 0 0 0 0
## 0.99371 0 0 0 0 0 0 0 0 0 0
## 0.99374 0 0 0 0 0 0 0 0 0 0
## 0.99376 0 0 0 0 0 0 0 0 0 0
## 0.99378 0 0 0 0 0 0 0 0 0 0
## 0.99379 0 0 0 0 0 0 0 0 0 0
## 0.9938 0 0 0 0 0 0 1 0 0 0
## 0.99384 0 0 0 0 0 0 0 0 0 0
## 0.99385 0 0 0 0 0 0 0 0 0 0
## 0.99386 0 0 0 0 0 0 0 0 0 0
## 0.99387 0 0 0 0 0 0 0 0 0 0
## 0.99388 0 0 0 0 0 0 0 0 0 0
## 0.99392 0 0 0 0 0 0 0 0 0 0
## 0.99394 0 0 0 0 0 0 0 0 0 0
## 0.99395 0 0 0 0 0 0 0 0 0 0
## 0.99396 0 0 0 0 0 1 0 0 0 0
## 0.99397 0 0 0 0 0 0 0 0 0 0
## 0.994 0 0 0 0 0 0 0 0 0 0
## 0.99402 0 0 0 0 0 0 0 0 0 0
## 0.99408 0 0 0 0 0 0 0 0 0 0
## 0.9941 0 0 0 0 0 0 0 0 0 0
## 0.99414 0 0 0 0 0 0 0 0 0 0
## 0.99416 0 0 0 0 0 0 0 0 0 0
## 0.99417 0 0 0 0 0 0 0 0 0 0
## 0.99418 0 0 0 0 0 0 0 0 0 0
## 0.99419 0 0 0 0 0 0 0 0 0 0
## 0.9942 0 0 0 0 0 0 0 0 0 0
## 0.99425 0 0 0 0 0 0 0 0 0 0
## 0.99426 0 0 0 0 0 0 0 0 0 0
## 0.99428 0 0 0 0 0 0 0 0 0 0
## 0.9943 0 0 0 0 0 0 0 0 0 0
## 0.99434 0 0 0 0 0 0 0 0 0 0
## 0.99437 0 0 0 0 0 0 0 0 0 0
## 0.99438 0 0 0 0 0 0 0 0 0 0
## 0.99439 0 0 0 0 0 0 0 0 0 0
## 0.9944 1 0 0 0 0 0 0 0 0 0
## 0.99444 0 0 0 0 0 0 0 0 0 0
## 0.99448 0 0 0 0 0 0 0 0 0 0
## 0.99451 0 0 0 0 0 0 0 0 0 0
## 0.99454 0 0 0 0 0 0 0 0 0 0
## 0.99456 0 0 0 0 0 0 0 0 0 0
## 0.99458 0 0 0 0 0 0 0 0 0 0
## 0.99459 1 0 0 0 0 0 0 0 0 0
## 0.9946 2 0 0 0 0 0 0 0 0 0
## 0.99462 0 0 0 0 0 0 0 0 0 0
## 0.99464 0 0 2 0 0 0 0 0 0 0
## 0.99467 0 0 0 0 0 0 0 0 0 0
## 0.99468 0 0 0 0 0 0 0 0 0 0
## 0.9947 0 0 0 0 0 0 0 0 0 0
## 0.99471 0 0 0 0 0 0 0 0 0 0
## 0.99472 0 0 0 0 0 0 0 0 0 0
## 0.99473 0 0 0 0 0 0 0 0 0 0
## 0.99474 0 0 0 0 0 0 0 0 0 0
## 0.99476 0 0 0 0 0 0 0 0 0 0
## 0.99478 0 0 0 0 0 0 0 0 0 0
## 0.99479 0 0 0 0 0 0 0 0 0 0
## 0.9948 0 0 0 0 0 0 0 0 4 0
## 0.99483 0 0 0 0 0 0 0 0 0 0
## 0.99484 0 0 0 1 0 0 0 0 0 0
## 0.99486 0 0 0 0 0 0 0 0 0 0
## 0.99488 0 0 0 0 0 0 0 0 0 0
## 0.99489 0 0 0 0 2 0 0 0 0 0
## 0.9949 0 0 0 0 0 0 1 0 0 0
## 0.99491 0 0 0 0 0 0 0 0 0 0
## 0.99492 0 0 0 0 0 0 0 0 1 0
## 0.99494 0 0 0 0 0 0 0 0 0 0
## 0.99495 0 0 0 0 0 0 0 0 0 0
## 0.99496 0 0 0 0 0 0 0 0 1 0
## 0.99498 0 0 1 0 0 2 0 0 0 0
## 0.99499 0 0 0 0 0 0 0 0 0 0
## 0.995 0 0 2 0 0 0 0 0 0 2
## 0.99501 0 0 0 0 0 0 0 0 0 0
## 0.99502 1 0 0 0 0 0 0 0 0 0
## 0.99504 0 0 0 0 0 0 0 0 0 0
## 0.99506 0 0 0 0 0 0 0 0 0 0
## 0.99508 0 0 0 0 0 0 0 0 0 0
## 0.99509 0 0 0 0 0 0 0 0 0 0
## 0.9951 0 0 0 0 0 0 0 0 0 0
## 0.99512 0 0 0 0 0 0 0 0 0 0
## 0.99514 0 0 0 0 0 0 0 1 0 0
## 0.99516 0 0 0 0 0 0 0 0 0 0
## 0.99517 0 0 0 0 0 0 0 0 0 0
## 0.99518 0 0 0 0 0 0 0 0 0 0
## 0.99519 0 0 0 0 0 0 0 0 0 0
## 0.9952 0 0 0 0 0 0 0 0 0 0
## 0.99521 0 0 0 0 0 0 0 0 0 0
## 0.99522 1 0 0 0 0 0 0 0 1 0
## 0.99523 0 0 0 0 0 0 0 0 0 0
## 0.99524 0 0 0 0 0 0 0 0 0 0
## 0.99525 0 0 0 0 0 0 0 0 0 1
## 0.99526 0 0 0 0 0 0 0 0 0 0
## 0.99528 0 0 0 0 1 0 0 0 0 0
## 0.99529 0 0 0 0 0 0 0 0 0 0
## 0.9953 0 0 0 0 0 2 0 0 0 0
## 0.99531 0 0 1 0 0 0 0 0 0 0
## 0.99532 0 0 0 0 0 0 1 0 0 0
## 0.99533 0 0 0 0 0 0 0 0 0 0
## 0.99534 0 0 0 0 0 0 0 0 0 0
## 0.99536 0 0 0 0 0 0 0 0 0 0
## 0.99538 0 0 0 0 0 0 4 0 0 0
## 0.9954 0 0 0 0 0 0 0 0 0 0
## 0.99541 0 0 0 0 0 0 0 0 0 0
## 0.99542 0 0 0 0 0 0 0 0 0 1
## 0.99543 0 0 0 0 0 0 0 0 0 0
## 0.99544 0 0 0 0 0 0 0 0 0 0
## 0.99545 0 0 0 0 0 1 0 0 0 0
## 0.99546 0 0 4 0 1 0 0 0 0 0
## 0.99547 0 0 0 1 0 0 0 0 0 0
## 0.99549 0 0 0 0 0 0 0 0 0 0
## 0.9955 0 0 1 1 0 0 0 0 0 2
## 0.99551 0 0 0 1 0 0 0 0 0 0
## 0.99552 0 0 0 0 0 0 0 0 0 0
## 0.99553 0 0 0 0 0 0 0 0 0 0
## 0.99554 0 0 0 0 0 0 0 0 0 0
## 0.99555 0 0 0 0 0 0 0 0 0 0
## 0.99556 0 0 1 0 0 0 0 0 0 0
## 0.99557 0 0 0 0 0 0 0 0 0 0
## 0.99558 0 0 1 0 0 0 0 0 0 0
## 0.9956 1 0 0 1 0 3 1 0 0 0
## 0.99562 0 0 0 0 0 0 1 0 0 0
## 0.99564 0 0 0 0 2 0 0 0 0 0
## 0.99565 0 0 0 0 0 0 0 0 0 0
## 0.99566 0 0 0 0 0 0 0 0 0 0
## 0.99568 1 0 0 0 0 0 2 0 0 0
## 0.99569 0 0 0 0 0 0 0 0 0 0
## 0.9957 0 0 0 0 0 1 0 0 0 0
## 0.99572 0 0 0 0 0 0 0 0 1 0
## 0.99573 0 0 0 0 0 0 0 0 0 0
## 0.99574 0 0 0 0 0 0 0 0 0 0
## 0.99575 1 0 0 1 0 0 0 0 0 0
## 0.99576 1 0 1 0 0 0 0 0 0 0
## 0.99577 0 0 0 0 0 0 0 0 0 0
## 0.99578 0 0 0 0 0 0 0 0 0 0
## 0.9958 0 0 2 1 1 0 0 0 0 0
## 0.99581 0 0 0 0 0 0 0 0 0 0
## 0.99582 0 0 0 0 0 0 0 0 0 0
## 0.99584 0 0 0 0 0 0 1 0 0 0
## 0.99585 0 0 0 0 0 0 0 0 0 0
## 0.99586 1 0 1 0 0 0 0 0 0 0
## 0.99587 0 0 0 0 0 0 0 0 0 0
## 0.99588 0 0 1 0 0 1 0 0 0 0
## 0.99589 0 0 0 0 0 1 0 0 0 0
## 0.9959 1 0 1 1 1 1 0 0 1 0
## 0.99592 0 0 0 0 0 1 0 0 0 0
## 0.99593 1 0 0 0 0 0 0 0 0 0
## 0.99594 0 0 0 0 0 0 0 0 0 0
## 0.99596 0 0 0 0 0 0 0 0 0 0
## 0.99598 0 0 0 0 0 0 0 0 0 0
## 0.99599 0 0 0 0 0 0 0 0 0 0
## 0.996 1 0 0 0 1 0 0 0 1 0
## 0.99603 0 0 0 0 1 0 1 0 0 0
## 0.99604 1 0 0 0 0 0 0 0 0 0
## 0.99605 0 0 0 0 0 0 0 0 0 1
## 0.99606 0 0 0 0 0 0 0 0 0 0
## 0.99608 1 0 0 1 0 0 0 0 0 0
## 0.99609 0 0 0 0 0 0 0 0 0 0
## 0.9961 0 0 1 0 1 0 0 0 0 0
## 0.99612 0 0 0 1 1 0 0 0 0 1
## 0.99613 0 0 0 1 0 0 0 0 0 0
## 0.99614 0 0 0 0 0 0 0 0 0 0
## 0.99615 0 0 0 0 0 0 2 0 0 0
## 0.99616 0 0 0 0 0 0 0 0 0 0
## 0.99617 0 0 0 0 0 0 0 0 0 0
## 0.99619 0 0 0 0 0 0 0 0 0 0
## 0.9962 1 0 0 1 0 0 2 0 0 1
## 0.99621 0 0 0 0 0 0 0 0 0 0
## 0.99622 0 0 0 0 0 0 0 0 0 0
## 0.99623 0 0 0 0 0 0 0 0 0 0
## 0.99624 0 0 0 0 0 0 0 0 0 2
## 0.99625 0 0 0 0 0 0 0 0 0 0
## 0.99627 0 0 0 0 0 0 0 0 0 0
## 0.99628 0 0 0 0 0 2 0 0 0 0
## 0.99629 0 0 0 0 1 0 0 0 0 0
## 0.9963 0 0 1 1 0 0 0 0 1 0
## 0.99631 0 0 0 1 0 0 0 0 0 0
## 0.99632 0 0 0 0 0 0 0 0 0 0
## 0.99633 0 0 0 0 0 0 0 0 2 0
## 0.99634 0 0 0 0 0 2 0 0 0 0
## 0.99635 1 0 0 0 0 0 0 0 0 0
## 0.99636 0 0 0 0 0 1 0 0 0 0
## 0.99638 0 0 0 0 0 0 0 0 0 0
## 0.99639 0 0 0 0 0 0 0 0 0 0
## 0.9964 1 0 1 1 0 0 1 0 0 0
## 0.99641 0 0 0 0 0 0 0 0 0 0
## 0.99642 0 0 0 0 0 0 0 0 0 0
## 0.99643 0 0 0 0 0 0 0 0 0 0
## 0.99645 0 0 0 0 0 0 0 0 0 0
## 0.99646 0 0 0 0 0 0 0 0 0 0
## 0.99647 1 0 0 0 0 0 1 0 0 0
## 0.99648 0 0 0 0 0 1 0 0 0 0
## 0.99649 0 0 0 0 0 0 0 0 0 0
## 0.9965 1 0 0 0 0 0 0 0 0 4
## 0.99651 0 0 0 0 0 0 0 0 0 0
## 0.99652 0 0 0 0 0 0 0 0 0 0
## 0.99654 1 0 0 0 0 0 0 0 0 0
## 0.99655 0 0 0 0 0 0 2 0 0 0
## 0.99656 0 0 0 0 0 0 0 0 0 0
## 0.99658 0 0 0 0 0 0 0 0 0 0
## 0.99659 0 0 0 0 0 0 1 0 0 0
## 0.9966 0 0 1 1 0 0 2 0 1 2
## 0.99661 0 0 0 0 0 0 0 0 0 0
## 0.99664 1 0 0 0 0 0 0 0 0 0
## 0.99665 0 0 0 1 0 0 0 0 0 0
## 0.99666 0 0 0 0 0 0 0 0 0 0
## 0.99667 0 0 0 0 0 0 1 0 0 0
## 0.99668 0 0 0 0 0 0 0 0 0 0
## 0.99669 0 0 0 1 0 0 0 0 0 0
## 0.9967 0 0 0 1 1 0 0 0 1 0
## 0.99672 1 0 0 0 0 1 0 0 0 0
## 0.99674 0 0 0 0 0 0 0 0 0 0
## 0.99675 0 0 0 0 0 0 0 0 0 0
## 0.99676 0 0 0 0 0 0 0 0 1 0
## 0.99677 0 0 0 0 0 0 1 0 0 0
## 0.99678 0 0 0 0 0 0 0 0 0 0
## 0.9968 3 0 0 2 1 0 1 0 0 0
## 0.99682 0 0 0 0 1 0 0 0 0 0
## 0.99683 0 0 0 0 0 0 0 0 1 0
## 0.99684 0 0 0 0 0 0 0 0 0 0
## 0.99685 1 0 0 0 0 0 0 0 0 0
## 0.99686 0 0 0 0 0 0 0 0 1 0
## 0.99688 0 0 0 0 0 0 0 0 0 0
## 0.99689 0 0 0 0 0 0 0 0 0 0
## 0.9969 0 0 0 1 2 2 1 0 0 1
## 0.99692 2 0 0 0 0 0 0 0 0 0
## 0.99693 0 0 0 0 1 0 0 0 0 0
## 0.99694 0 0 0 0 0 0 0 0 0 0
## 0.99695 0 0 0 0 1 0 0 0 0 0
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## 0.99698 0 0 0 0 0 0 0 0 0 0
## 0.99699 0 0 0 0 0 0 0 0 0 0
## 0.997 0 0 0 0 1 0 0 0 0 0
## 0.99701 1 0 0 0 0 0 0 0 0 0
## 0.99702 0 0 0 0 0 0 0 0 0 0
## 0.99704 0 2 0 0 0 0 0 0 0 0
## 0.99705 0 0 0 0 0 0 0 0 0 0
## 0.99706 0 0 0 0 0 0 0 0 0 0
## 0.99708 0 0 0 0 0 0 0 0 0 0
## 0.99709 0 0 0 1 0 0 0 0 0 0
## 0.9971 0 0 1 0 0 0 0 0 1 0
## 0.99712 1 0 0 0 0 0 0 0 0 0
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## 0.99714 0 0 1 0 0 0 0 0 0 0
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## 0.99717 0 0 0 0 0 0 0 0 0 0
## 0.99718 0 0 0 0 1 0 0 0 0 0
## 0.99719 0 0 0 0 1 0 0 0 0 0
## 0.9972 0 0 1 1 0 0 1 0 0 2
## 0.99721 0 0 0 0 1 0 0 0 0 0
## 0.99722 0 0 0 0 0 0 0 0 0 0
## 0.99724 0 0 1 0 0 1 0 0 0 0
## 0.99725 0 0 0 0 0 0 1 0 0 0
## 0.99726 0 0 0 0 0 0 0 0 0 0
## 0.99727 0 0 0 0 0 0 0 0 0 0
## 0.99728 2 0 0 0 0 0 0 0 0 0
## 0.99729 0 0 0 0 0 0 0 0 0 0
## 0.9973 0 0 1 0 0 0 4 0 0 0
## 0.99732 0 0 0 0 0 0 0 0 0 0
## 0.99733 0 0 0 0 0 0 0 0 0 0
## 0.99734 0 0 0 1 0 0 1 0 0 0
## 0.99735 2 0 0 0 0 0 0 0 0 0
## 0.99736 0 0 0 0 0 0 0 0 0 0
## 0.99738 0 0 0 0 0 0 0 0 0 0
## 0.99739 0 0 0 0 0 0 0 0 0 0
## 0.9974 0 0 0 1 1 0 1 0 0 0
## 0.99743 0 0 0 0 0 0 0 0 0 0
## 0.99744 0 0 0 0 0 0 0 0 0 0
## 0.99745 0 0 0 0 0 1 0 0 0 0
## 0.99746 0 0 0 0 0 0 2 0 0 0
## 0.99747 0 0 0 0 0 0 0 0 0 0
## 0.99748 0 0 0 0 0 0 0 0 0 0
## 0.9975 1 0 0 0 0 0 1 0 0 0
## 0.99752 1 0 0 0 0 0 0 0 0 0
## 0.99754 0 0 0 0 0 0 1 0 0 0
## 0.99756 0 0 0 1 0 0 0 0 0 0
## 0.99758 0 0 0 0 0 1 0 0 0 0
## 0.9976 2 0 0 0 0 1 1 0 2 0
## 0.99761 0 0 0 0 0 0 0 0 0 0
## 0.99764 0 0 0 0 0 0 0 0 0 0
## 0.99765 0 0 0 0 0 0 0 0 0 0
## 0.99768 0 0 0 0 0 0 0 0 0 0
## 0.99769 0 0 0 1 0 0 0 0 0 0
## 0.9977 0 0 0 0 0 1 0 0 0 0
## 0.99772 0 0 0 0 0 0 1 0 0 0
## 0.99774 0 0 0 0 0 0 2 0 0 0
## 0.99779 0 0 0 0 0 0 0 0 0 0
## 0.9978 2 0 0 0 0 1 4 0 0 0
## 0.99782 0 0 0 0 0 0 0 0 0 0
## 0.99783 0 0 0 0 0 1 0 0 0 0
## 0.99784 0 0 0 0 0 0 0 0 0 0
## 0.99785 0 0 0 0 0 0 0 0 0 0
## 0.99786 0 0 0 2 0 0 1 0 0 0
## 0.99787 2 0 0 0 0 0 0 0 0 0
## 0.99788 0 0 0 0 0 0 1 0 0 0
## 0.9979 1 0 2 0 0 0 1 0 0 0
## 0.99791 0 0 0 0 0 1 0 0 0 0
## 0.99796 0 0 1 0 0 0 0 0 0 0
## 0.99798 0 0 0 0 0 0 1 0 0 0
## 0.998 3 0 0 1 0 0 2 0 0 0
## 0.99801 0 0 0 0 0 0 0 0 0 0
## 0.99803 0 0 0 0 0 0 0 0 0 0
## 0.99808 0 0 0 1 0 0 0 0 0 0
## 0.9981 0 0 1 0 0 0 0 0 0 0
## 0.99814 1 0 0 0 0 0 0 0 1 0
## 0.99815 1 0 0 0 0 0 0 0 0 0
## 0.99817 0 0 0 0 0 0 0 0 0 0
## 0.99818 0 0 0 0 0 0 0 0 0 0
## 0.9982 3 0 0 0 0 0 1 0 0 0
## 0.99822 0 0 0 0 0 1 0 0 0 0
## 0.99823 0 0 0 0 0 0 0 0 0 0
## 0.99824 0 0 2 0 0 0 1 0 0 0
## 0.99828 0 0 0 0 0 0 0 0 2 0
## 0.9983 2 0 0 0 0 0 0 0 0 0
## 0.99832 0 0 0 0 0 0 0 0 0 0
## 0.99834 1 0 0 0 0 0 0 0 0 0
## 0.99836 0 0 0 0 0 1 0 0 0 0
## 0.9984 1 0 3 2 0 0 1 0 1 0
## 0.99842 0 0 0 0 0 0 0 0 0 0
## 0.99845 0 0 0 0 0 0 0 0 0 0
## 0.9985 1 0 1 0 0 0 0 0 0 1
## 0.99852 0 0 0 0 0 0 0 0 0 0
## 0.99854 0 0 0 0 0 0 0 0 0 0
## 0.99855 0 0 0 0 0 0 0 0 0 0
## 0.99859 0 0 0 0 0 0 0 0 0 0
## 0.9986 0 0 1 0 1 0 3 0 1 0
## 0.99864 0 0 0 0 0 0 0 0 0 0
## 0.99865 0 0 0 0 0 2 0 0 0 0
## 0.9987 0 0 0 0 0 0 0 0 0 3
## 0.99878 0 0 0 0 0 0 0 0 0 0
## 0.9988 0 0 0 3 0 0 0 0 1 0
## 0.99888 0 0 0 0 0 0 0 0 0 0
## 0.9989 0 0 0 0 0 0 0 0 0 0
## 0.99892 0 0 0 0 0 0 0 0 0 0
## 0.999 0 0 0 0 2 0 0 0 0 1
## 0.99901 0 0 0 0 0 0 0 0 0 0
## 0.9991 0 0 2 0 0 0 2 0 0 0
## 0.99914 0 0 0 2 0 0 0 0 0 0
## 0.99915 0 0 0 0 0 0 0 0 0 0
## 0.99918 0 0 0 0 0 0 0 0 0 0
## 0.9992 2 0 0 0 1 0 0 0 0 0
## 0.99922 0 0 0 0 0 0 0 0 0 0
## 0.99925 0 0 0 0 0 0 0 0 0 0
## 0.9993 0 0 0 1 0 0 0 0 0 0
## 0.99935 0 0 1 0 0 0 0 0 0 0
## 0.99938 0 0 0 0 0 0 0 0 0 0
## 0.99939 0 0 0 0 0 0 0 0 0 0
## 0.9994 1 0 0 2 1 1 1 0 0 0
## 0.9995 0 0 0 0 0 1 0 0 0 0
## 0.9996 0 0 4 0 0 1 1 0 1 0
## 0.99965 0 0 0 0 0 0 1 0 0 0
## 0.9997 0 0 0 2 1 1 0 0 0 0
## 0.99974 0 0 0 0 0 0 0 0 0 0
## 0.99975 0 0 0 0 0 0 0 0 0 0
## 0.99976 0 0 0 0 0 0 0 0 0 0
## 0.9998 0 0 0 0 0 0 0 0 0 0
## 0.9999 0 0 0 0 0 0 0 0 0 0
## 1 1 0 0 1 0 1 1 0 0 0
## 1.00005 0 0 0 0 0 0 0 0 0 0
## 1.0001 0 0 0 0 0 0 0 0 0 0
## 1.00012 0 0 0 0 0 0 0 0 0 0
## 1.00015 0 0 0 0 0 0 0 0 0 0
## 1.0002 0 0 0 0 0 0 0 0 0 1
## 1.00024 1 0 0 0 0 0 0 0 0 0
## 1.00025 0 0 0 0 0 0 0 0 0 0
## 1.0003 0 0 0 0 0 0 0 0 0 0
## 1.0004 0 0 0 0 2 0 0 0 0 0
## 1.0006 0 0 0 1 0 0 0 0 0 1
## 1.0008 0 0 0 0 0 0 0 0 0 0
## 1.001 0 0 0 0 0 0 0 0 0 0
## 1.0014 2 0 0 0 0 0 0 0 0 0
## 1.0015 0 0 0 0 0 0 0 0 0 0
## 1.0018 0 0 0 0 0 0 0 0 0 0
## 1.0021 0 0 0 0 0 0 0 0 0 0
## 1.0022 2 0 0 0 0 0 0 0 0 0
## 1.00242 0 0 0 0 0 0 0 0 0 0
## 1.0026 0 0 0 0 0 1 0 0 0 0
## 1.00289 0 0 0 0 0 0 0 0 0 0
## 1.00315 0 0 0 0 0 0 0 0 0 0
## 1.0032 0 0 0 0 0 0 0 0 0 0
## 1.00369 0 0 0 0 0 0 0 0 0 0
## Sum 67 2 47 46 33 41 67 2 28 27
## alcohol
## density 10.75 10.8 10.9 11 11.0666666666667 11.1 11.2 11.3 11.4 11.5
## 0.99007 0 0 0 0 0 0 0 0 0 0
## 0.9902 0 0 0 0 0 0 0 0 0 0
## 0.99064 0 0 0 0 0 0 0 0 0 0
## 0.9908 0 0 0 0 0 0 0 0 0 0
## 0.99084 0 0 0 0 0 0 0 0 0 0
## 0.9912 0 0 0 0 0 0 0 0 0 0
## 0.9915 0 0 0 0 0 0 0 0 0 0
## 0.99154 0 0 0 0 0 0 0 0 0 0
## 0.99157 0 0 0 0 0 0 0 0 0 0
## 0.9916 0 0 0 0 0 0 0 0 0 0
## 0.99162 0 0 0 0 0 0 0 0 0 0
## 0.9917 0 0 0 0 0 0 0 0 0 0
## 0.99182 0 0 0 0 0 0 0 0 0 0
## 0.99191 0 0 0 0 0 0 0 0 0 0
## 0.9921 0 0 0 0 0 0 0 0 0 0
## 0.9922 0 0 0 0 0 0 0 0 0 1
## 0.99235 0 0 0 0 0 0 0 0 0 0
## 0.99236 0 0 0 0 0 0 0 0 0 0
## 0.9924 0 0 0 0 0 0 0 0 0 0
## 0.99242 0 0 0 0 0 0 0 0 0 0
## 0.99252 0 0 0 0 0 0 0 0 0 0
## 0.99256 0 0 0 0 0 0 0 0 0 0
## 0.99258 0 0 0 0 0 0 0 0 0 0
## 0.99264 0 0 0 0 0 0 0 0 0 0
## 0.9927 0 0 0 0 0 0 0 0 0 0
## 0.9928 0 0 0 0 0 0 0 0 0 0
## 0.99286 0 0 0 0 0 0 0 0 0 0
## 0.9929 0 0 0 0 0 0 0 0 0 0
## 0.99292 0 0 0 0 0 0 0 0 0 0
## 0.99294 0 0 0 0 0 0 0 0 0 0
## 0.99306 0 0 0 0 0 0 0 0 0 0
## 0.99314 0 0 0 0 0 0 0 0 0 0
## 0.99316 0 0 0 0 0 0 0 0 0 0
## 0.99318 0 0 0 0 0 0 0 0 0 0
## 0.9932 0 0 0 0 0 0 0 0 0 0
## 0.99322 0 0 0 0 0 0 0 0 0 0
## 0.99323 0 0 0 0 0 0 0 0 0 0
## 0.99328 0 0 0 0 0 0 0 0 0 0
## 0.9933 0 0 0 0 0 0 0 0 0 0
## 0.99331 0 0 0 0 0 0 0 0 0 2
## 0.99332 0 0 0 0 0 0 0 0 0 0
## 0.99334 0 0 0 0 0 0 0 0 0 0
## 0.99336 0 0 0 1 0 0 0 0 0 0
## 0.9934 0 0 0 0 0 0 0 0 0 1
## 0.99341 0 0 0 0 0 0 0 0 0 0
## 0.99344 0 0 0 0 0 0 0 0 0 0
## 0.99346 0 0 0 0 0 0 0 0 1 0
## 0.99348 0 0 0 0 0 0 0 0 0 0
## 0.9935 0 0 0 0 0 0 0 0 0 0
## 0.99352 0 0 0 0 0 0 0 0 0 0
## 0.99354 0 0 0 0 0 0 0 0 1 0
## 0.99356 0 0 0 0 0 0 0 0 0 0
## 0.99357 0 0 0 0 0 0 0 0 0 1
## 0.99358 0 0 0 1 0 0 0 0 0 0
## 0.9936 0 0 0 0 0 0 0 0 0 0
## 0.99362 0 0 0 0 0 0 0 0 0 0
## 0.99364 0 0 0 0 0 0 0 0 0 0
## 0.9937 0 0 0 0 0 0 0 0 0 0
## 0.99371 0 0 0 0 0 0 0 0 0 0
## 0.99374 0 0 0 0 0 0 0 0 0 0
## 0.99376 0 0 0 0 0 2 0 0 0 0
## 0.99378 0 0 0 0 0 0 0 0 0 0
## 0.99379 0 0 0 0 0 0 0 0 0 1
## 0.9938 0 0 0 0 0 0 0 0 0 0
## 0.99384 0 0 0 0 0 0 0 0 0 0
## 0.99385 0 0 0 0 0 0 1 0 0 0
## 0.99386 0 0 0 0 0 0 0 0 0 0
## 0.99387 0 0 0 0 0 0 0 0 0 0
## 0.99388 0 0 0 0 0 0 0 0 0 0
## 0.99392 0 0 0 0 0 0 0 0 1 0
## 0.99394 0 0 0 0 0 0 0 1 0 0
## 0.99395 0 0 0 1 0 0 0 0 0 0
## 0.99396 0 0 0 1 0 0 0 0 0 1
## 0.99397 0 0 0 0 0 0 0 0 0 0
## 0.994 0 0 0 0 0 0 1 0 0 0
## 0.99402 0 0 0 0 0 0 1 2 0 0
## 0.99408 0 0 0 0 0 0 0 0 0 0
## 0.9941 0 0 0 0 0 1 0 0 0 0
## 0.99414 0 0 0 0 0 0 0 0 0 0
## 0.99416 0 0 0 0 0 0 0 1 0 0
## 0.99417 0 0 0 0 0 0 0 0 0 0
## 0.99418 0 0 0 0 0 0 0 0 0 0
## 0.99419 0 0 0 0 0 0 1 0 1 0
## 0.9942 0 0 0 0 0 0 0 0 2 0
## 0.99425 0 0 0 0 0 0 0 0 1 0
## 0.99426 0 0 0 0 0 0 0 0 0 0
## 0.99428 0 0 0 0 0 0 1 0 0 0
## 0.9943 0 0 0 0 0 0 0 0 0 0
## 0.99434 0 0 0 0 0 0 0 0 0 0
## 0.99437 0 0 0 0 0 0 1 0 0 0
## 0.99438 0 0 0 0 0 0 3 1 1 0
## 0.99439 0 0 0 0 0 0 0 0 0 0
## 0.9944 0 0 0 0 0 0 1 0 0 0
## 0.99444 0 0 0 0 0 0 0 1 0 0
## 0.99448 0 1 0 0 0 0 0 0 0 0
## 0.99451 0 0 0 0 0 0 0 0 0 0
## 0.99454 0 0 0 0 0 0 1 0 0 0
## 0.99456 0 0 0 0 0 0 0 0 0 0
## 0.99458 0 0 0 0 0 0 0 0 0 0
## 0.99459 0 0 0 0 0 0 0 0 0 0
## 0.9946 0 0 0 0 0 0 0 0 0 0
## 0.99462 0 0 0 0 0 0 0 0 1 0
## 0.99464 0 0 0 0 0 0 0 0 0 0
## 0.99467 0 0 1 0 0 0 0 0 0 0
## 0.99468 0 0 0 0 0 0 0 0 0 0
## 0.9947 0 0 0 0 0 0 0 2 1 0
## 0.99471 0 0 0 0 0 0 0 0 0 0
## 0.99472 1 0 0 0 0 0 0 1 1 0
## 0.99473 0 0 0 0 0 0 0 0 0 0
## 0.99474 0 0 0 0 0 0 0 0 0 0
## 0.99476 0 0 2 0 0 0 0 0 0 0
## 0.99478 0 0 1 0 0 0 0 0 1 0
## 0.99479 0 0 0 0 0 0 0 0 0 1
## 0.9948 0 0 0 0 0 0 0 1 1 2
## 0.99483 0 0 1 0 0 0 0 0 0 0
## 0.99484 0 0 0 0 0 0 0 0 0 0
## 0.99486 0 0 0 0 0 0 0 0 0 0
## 0.99488 0 0 0 0 0 0 1 1 0 1
## 0.99489 0 0 1 0 0 0 0 0 0 0
## 0.9949 0 1 0 0 0 1 0 0 1 0
## 0.99491 0 0 0 0 0 0 1 0 0 0
## 0.99492 0 0 0 0 0 0 0 0 1 0
## 0.99494 0 0 0 0 0 0 1 0 0 1
## 0.99495 0 0 0 1 0 0 0 0 0 1
## 0.99496 0 0 0 0 0 0 0 0 0 0
## 0.99498 0 0 0 0 0 1 0 0 0 0
## 0.99499 0 0 0 0 0 0 0 0 0 0
## 0.995 0 0 0 0 0 0 0 0 0 0
## 0.99501 0 0 0 0 0 0 1 0 0 0
## 0.99502 0 0 0 0 0 0 0 0 0 1
## 0.99504 0 0 0 0 0 0 0 0 0 0
## 0.99506 0 0 0 0 0 0 0 0 0 0
## 0.99508 0 0 0 0 0 0 0 0 0 2
## 0.99509 0 0 0 0 0 0 0 0 0 0
## 0.9951 0 1 1 1 0 0 0 0 0 0
## 0.99512 0 0 0 0 0 0 1 0 0 0
## 0.99514 0 0 2 1 0 1 0 0 0 0
## 0.99516 0 0 0 0 0 0 2 0 0 0
## 0.99517 0 0 1 0 0 0 0 0 0 0
## 0.99518 0 1 0 0 0 2 0 0 0 0
## 0.99519 0 0 0 0 0 0 0 1 0 0
## 0.9952 0 0 0 0 0 1 0 1 0 0
## 0.99521 0 0 0 1 0 0 0 0 0 0
## 0.99522 0 2 0 0 0 0 0 0 0 0
## 0.99523 0 0 0 0 0 0 0 0 0 0
## 0.99524 0 0 0 0 0 1 0 0 0 0
## 0.99525 0 0 0 0 0 0 0 0 0 0
## 0.99526 0 1 0 0 0 0 0 0 0 0
## 0.99528 0 1 0 0 0 0 0 0 0 0
## 0.99529 0 0 0 0 0 0 0 0 0 0
## 0.9953 0 0 0 0 0 0 0 0 0 0
## 0.99531 0 0 0 0 0 0 0 0 0 0
## 0.99532 0 0 0 0 0 0 0 0 0 0
## 0.99533 0 0 0 0 0 0 0 0 1 0
## 0.99534 0 0 0 4 0 0 0 0 1 0
## 0.99536 0 0 0 0 0 0 1 0 0 0
## 0.99538 0 0 2 0 0 0 0 2 0 0
## 0.9954 0 0 0 0 0 0 0 1 0 0
## 0.99541 0 0 0 0 0 0 0 0 0 1
## 0.99542 0 0 0 0 0 0 0 0 0 0
## 0.99543 0 0 0 0 0 0 0 0 0 0
## 0.99544 0 0 0 0 0 0 0 0 1 0
## 0.99545 0 0 0 0 0 0 0 0 0 0
## 0.99546 0 0 0 0 0 0 1 0 1 0
## 0.99547 0 0 0 0 0 0 0 0 0 0
## 0.99549 0 0 0 1 0 0 0 0 0 0
## 0.9955 0 0 2 0 0 0 1 0 0 0
## 0.99551 0 2 0 0 0 0 0 0 0 0
## 0.99552 0 0 0 0 0 1 0 0 0 0
## 0.99553 0 0 0 0 0 0 0 0 0 0
## 0.99554 0 0 0 1 0 0 0 0 0 0
## 0.99555 0 0 0 1 0 0 0 0 0 0
## 0.99556 0 0 1 0 0 0 0 0 0 0
## 0.99557 0 2 0 0 0 0 0 0 0 1
## 0.99558 0 0 0 0 0 0 0 0 0 0
## 0.9956 0 0 0 0 0 1 0 0 2 0
## 0.99562 0 1 0 0 0 0 0 1 0 0
## 0.99564 0 0 0 0 0 0 0 0 0 0
## 0.99565 0 0 0 0 0 0 0 0 0 0
## 0.99566 0 0 0 0 1 2 0 0 0 0
## 0.99568 0 0 0 0 0 0 0 1 0 0
## 0.99569 0 0 0 0 0 0 0 0 0 0
## 0.9957 0 0 0 0 0 0 1 0 0 0
## 0.99572 0 0 2 0 0 0 1 3 0 1
## 0.99573 0 0 0 0 0 0 0 0 0 0
## 0.99574 0 0 0 2 0 0 0 0 0 0
## 0.99575 0 0 0 0 0 0 0 0 0 0
## 0.99576 0 0 0 0 0 0 1 0 0 0
## 0.99577 0 0 0 0 0 1 0 0 0 0
## 0.99578 0 0 1 0 0 0 0 0 0 0
## 0.9958 0 0 0 1 0 0 1 0 0 0
## 0.99581 0 0 0 0 0 0 0 0 0 0
## 0.99582 0 1 0 0 0 0 0 0 0 0
## 0.99584 0 0 0 0 0 0 0 0 0 0
## 0.99585 0 0 0 0 0 0 0 0 0 0
## 0.99586 0 0 0 0 0 0 0 1 0 0
## 0.99587 0 0 0 0 0 0 0 0 0 0
## 0.99588 0 1 0 0 0 0 0 0 0 0
## 0.99589 0 0 0 0 0 0 0 0 0 0
## 0.9959 0 0 0 0 0 0 0 0 0 0
## 0.99592 0 0 1 0 0 0 0 0 0 0
## 0.99593 0 0 0 0 0 0 0 0 0 0
## 0.99594 0 0 0 0 0 0 0 1 0 0
## 0.99596 0 0 0 0 0 0 0 0 0 0
## 0.99598 0 0 0 0 0 0 0 0 1 0
## 0.99599 0 0 0 2 0 0 0 0 0 0
## 0.996 0 0 0 0 0 0 0 1 1 0
## 0.99603 0 0 0 0 0 0 0 0 0 0
## 0.99604 0 0 0 1 0 0 0 0 0 0
## 0.99605 0 0 0 0 0 0 0 0 2 0
## 0.99606 0 0 0 0 0 0 0 0 0 0
## 0.99608 0 0 0 0 0 0 0 0 0 0
## 0.99609 0 0 0 0 0 0 0 0 0 0
## 0.9961 0 0 0 0 0 0 0 0 0 1
## 0.99612 0 0 0 1 0 0 0 0 0 0
## 0.99613 0 0 0 0 0 1 0 0 0 0
## 0.99614 0 0 0 0 0 0 0 0 0 0
## 0.99615 0 0 0 0 0 0 0 0 0 0
## 0.99616 0 0 0 0 0 0 0 0 0 0
## 0.99617 0 0 0 0 0 0 0 0 0 0
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## 0.9962 0 2 4 3 0 0 0 0 1 0
## 0.99621 0 1 0 0 0 0 0 0 0 0
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## 0.99623 0 0 0 0 0 0 0 0 0 0
## 0.99624 0 0 0 1 0 0 0 0 0 0
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## 0.99629 0 0 0 0 0 0 0 0 0 0
## 0.9963 0 0 0 0 0 0 0 0 0 0
## 0.99631 0 0 0 0 0 0 0 0 0 0
## 0.99632 0 0 1 0 0 0 0 0 0 0
## 0.99633 0 0 0 1 0 0 0 0 0 0
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## 0.99638 0 0 2 0 0 0 0 0 0 0
## 0.99639 0 1 0 0 0 0 0 0 0 0
## 0.9964 0 0 2 3 0 0 1 0 0 0
## 0.99641 0 0 0 0 0 0 0 0 0 0
## 0.99642 0 0 0 0 0 0 0 0 0 0
## 0.99643 0 0 0 0 0 0 0 0 0 0
## 0.99645 0 0 0 1 0 0 0 0 0 0
## 0.99646 0 0 0 0 0 0 0 0 0 0
## 0.99647 0 0 0 0 0 0 0 0 0 0
## 0.99648 0 0 0 1 0 1 0 0 0 0
## 0.99649 0 0 0 0 0 0 0 0 0 0
## 0.9965 0 0 0 0 0 0 0 0 0 1
## 0.99651 0 0 0 0 0 0 0 0 0 0
## 0.99652 0 0 3 0 0 0 0 0 0 0
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## 0.99655 0 2 0 0 0 0 0 0 0 0
## 0.99656 0 0 0 0 0 1 0 0 0 0
## 0.99658 0 0 0 0 0 0 0 0 0 0
## 0.99659 0 0 0 0 0 0 0 0 0 0
## 0.9966 0 0 0 3 0 1 0 0 0 0
## 0.99661 0 0 0 0 0 0 0 0 0 0
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## 0.99666 0 0 1 0 0 0 0 0 0 0
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## 0.99669 0 0 0 0 0 0 0 0 0 0
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## 0.99761 0 0 0 0 0 0 0 0 0 0
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## 0.99938 0 0 0 0 0 0 0 0 0 0
## 0.99939 0 0 0 0 0 0 0 1 0 0
## 0.9994 0 4 0 0 0 1 0 0 2 1
## 0.9995 0 0 0 0 0 0 0 0 0 0
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## 0.9997 0 0 0 0 0 0 0 0 0 0
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## 0.9998 0 0 0 0 0 0 2 0 0 0
## 0.9999 0 0 1 0 0 0 0 0 0 0
## 1 0 0 0 0 0 0 0 0 0 0
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## 1.0001 0 0 0 1 0 0 0 0 0 0
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## 1.001 0 0 0 0 0 0 1 1 0 0
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## 1.00315 0 0 0 0 0 3 0 0 0 0
## 1.0032 0 0 0 0 0 0 1 0 0 0
## 1.00369 0 0 0 0 0 0 0 0 0 0
## Sum 1 42 49 59 1 27 36 32 32 30
## alcohol
## density 11.6 11.7 11.8 11.9 11.95 12 12.1 12.2 12.3 12.4 12.5 12.6
## 0.99007 0 0 0 0 0 0 0 0 0 0 0 0
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## 0.99064 0 2 0 0 0 0 0 0 0 0 0 0
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## 0.99939 0 0 0 0 0 0 0 0 0 0 0 0
## 0.9994 0 0 0 0 0 0 0 0 0 0 0 0
## 0.9995 0 0 0 0 0 0 0 0 0 0 0 0
## 0.9996 0 0 0 0 0 0 0 0 0 0 0 0
## 0.99965 0 0 0 0 0 0 0 0 0 0 0 0
## 0.9997 0 0 0 0 0 0 0 0 0 0 0 0
## 0.99974 0 0 0 0 0 0 0 0 0 0 0 0
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## 0.99976 0 0 0 0 0 0 0 0 0 0 0 0
## 0.9998 0 0 0 0 0 0 0 0 0 0 0 0
## 0.9999 0 0 0 0 0 0 0 0 0 0 0 0
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## 1.00005 0 0 0 0 0 0 0 0 0 0 0 0
## 1.0001 0 0 0 0 0 0 0 0 0 0 0 0
## 1.00012 0 0 0 0 0 0 0 0 0 0 0 0
## 1.00015 0 0 0 0 0 0 0 0 0 0 0 0
## 1.0002 2 2 0 0 0 0 0 0 0 0 0 0
## 1.00024 0 0 0 0 0 0 0 0 0 0 0 0
## 1.00025 0 0 0 0 0 0 0 0 0 0 0 0
## 1.0003 0 0 0 0 0 0 0 0 0 0 0 0
## 1.0004 0 0 0 0 0 0 0 0 0 0 0 0
## 1.0006 0 0 0 0 0 0 0 0 0 0 0 0
## 1.0008 0 0 0 0 0 0 0 0 0 0 0 0
## 1.001 0 0 0 1 0 0 0 0 0 0 0 0
## 1.0014 0 0 0 0 0 1 0 0 0 0 0 0
## 1.0015 0 0 0 0 0 0 0 0 0 0 0 0
## 1.0018 0 0 0 0 0 0 0 0 0 0 0 0
## 1.0021 0 0 0 0 0 0 0 0 0 0 0 0
## 1.0022 0 0 0 0 0 0 0 0 0 0 0 0
## 1.00242 0 0 0 0 0 0 0 0 0 0 0 0
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## 1.00289 0 0 0 0 0 0 0 0 0 0 0 0
## 1.00315 0 0 0 0 0 0 0 0 0 0 0 0
## 1.0032 0 0 0 0 0 0 0 0 0 0 0 0
## 1.00369 0 0 0 0 0 0 0 0 0 0 0 0
## Sum 15 23 29 20 1 21 13 12 12 13 21 6
## alcohol
## density 12.7 12.8 12.9 13 13.1 13.2 13.3 13.4 13.5 13.5666666666667
## 0.99007 2 0 0 0 0 0 0 0 0 0
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## 0.9978 0 0 0 0 0 0 0 0 0 0
## 0.99782 0 0 0 0 0 0 0 0 0 0
## 0.99783 0 0 0 0 0 0 0 0 0 0
## 0.99784 0 0 0 0 0 0 0 0 0 0
## 0.99785 0 0 0 0 0 0 0 0 0 0
## 0.99786 0 0 0 0 0 0 0 0 0 0
## 0.99787 0 0 0 0 0 0 0 0 0 0
## 0.99788 0 0 0 0 0 0 0 0 0 0
## 0.9979 0 0 0 0 0 0 0 0 0 0
## 0.99791 0 0 0 0 0 0 0 0 0 0
## 0.99796 0 0 0 0 0 0 0 0 0 0
## 0.99798 0 0 0 0 0 0 0 0 0 0
## 0.998 0 0 0 0 0 0 0 0 0 0
## 0.99801 0 0 0 0 0 0 0 0 0 0
## 0.99803 0 0 0 0 0 0 0 0 0 0
## 0.99808 0 0 0 0 0 0 0 0 0 0
## 0.9981 0 0 0 0 0 0 0 0 0 0
## 0.99814 0 0 0 0 0 0 0 0 0 0
## 0.99815 0 0 0 0 0 0 0 0 0 0
## 0.99817 0 0 0 0 0 0 0 0 0 0
## 0.99818 0 0 0 0 0 0 0 0 0 0
## 0.9982 0 0 0 0 0 0 0 0 0 0
## 0.99822 0 0 0 0 0 0 0 0 0 0
## 0.99823 0 0 0 0 0 0 0 0 0 0
## 0.99824 0 0 0 0 0 0 0 0 0 0
## 0.99828 0 0 0 0 0 0 0 0 0 0
## 0.9983 0 0 0 0 0 0 0 0 0 0
## 0.99832 0 0 0 0 0 0 0 0 0 0
## 0.99834 0 0 0 0 0 0 0 0 0 0
## 0.99836 0 0 0 0 0 0 0 0 0 0
## 0.9984 0 0 0 0 0 0 0 0 0 0
## 0.99842 0 0 0 0 0 0 0 0 0 0
## 0.99845 0 0 0 0 0 0 0 0 0 0
## 0.9985 0 0 0 0 0 0 0 0 0 0
## 0.99852 0 0 0 0 0 0 0 0 0 0
## 0.99854 0 0 0 0 0 0 0 0 0 0
## 0.99855 0 0 0 0 0 0 0 0 0 0
## 0.99859 0 0 0 0 0 0 0 0 0 0
## 0.9986 0 0 0 0 0 0 0 0 0 0
## 0.99864 0 0 0 0 0 0 0 0 0 0
## 0.99865 0 0 0 0 0 0 0 0 0 0
## 0.9987 0 0 0 0 0 0 0 0 0 0
## 0.99878 0 0 0 0 0 0 0 0 0 0
## 0.9988 0 0 0 0 0 0 1 1 0 0
## 0.99888 0 0 0 0 0 0 0 0 0 0
## 0.9989 0 0 0 0 0 0 0 0 0 0
## 0.99892 0 0 0 0 0 0 0 0 0 0
## 0.999 0 0 0 0 0 0 0 0 0 0
## 0.99901 0 0 0 0 0 0 0 0 0 0
## 0.9991 0 0 0 0 0 0 0 0 0 0
## 0.99914 0 0 0 0 0 0 0 0 0 0
## 0.99915 0 0 0 0 0 0 0 0 0 0
## 0.99918 0 0 0 0 0 0 0 0 0 0
## 0.9992 0 0 0 0 0 0 0 0 0 0
## 0.99922 0 0 0 0 0 0 0 0 0 0
## 0.99925 0 0 0 0 0 0 0 0 0 0
## 0.9993 0 0 0 0 0 0 0 0 0 0
## 0.99935 0 0 0 0 0 0 0 0 0 0
## 0.99938 0 0 0 0 0 0 0 0 0 0
## 0.99939 0 0 0 0 0 0 0 0 0 0
## 0.9994 0 0 0 0 0 0 0 0 0 0
## 0.9995 0 0 0 0 0 0 0 0 0 0
## 0.9996 0 0 0 0 0 0 0 0 0 0
## 0.99965 0 0 0 0 0 0 0 0 0 0
## 0.9997 0 0 0 0 0 0 0 0 0 0
## 0.99974 0 0 0 0 0 0 0 0 0 0
## 0.99975 0 0 0 0 0 0 0 0 0 0
## 0.99976 0 0 0 0 0 0 0 0 0 0
## 0.9998 0 0 0 0 0 0 0 0 0 0
## 0.9999 0 0 0 0 0 0 0 0 0 0
## 1 0 0 0 0 0 0 0 0 0 0
## 1.00005 0 0 0 0 0 0 0 0 0 0
## 1.0001 0 0 0 0 0 0 0 0 0 0
## 1.00012 0 0 0 0 0 0 0 0 0 0
## 1.00015 0 0 0 0 0 0 0 0 0 0
## 1.0002 0 0 0 0 0 0 0 0 0 0
## 1.00024 0 0 0 0 0 0 0 0 0 0
## 1.00025 0 0 0 0 0 0 0 0 0 0
## 1.0003 0 0 0 0 0 0 0 0 0 0
## 1.0004 0 0 0 1 0 0 0 0 0 0
## 1.0006 0 0 0 0 0 0 0 0 0 0
## 1.0008 0 0 0 0 0 0 0 0 0 0
## 1.001 0 0 0 0 0 0 0 0 0 0
## 1.0014 0 0 0 0 0 0 0 0 0 0
## 1.0015 0 0 0 0 0 0 0 0 0 0
## 1.0018 0 0 0 1 0 0 0 0 0 0
## 1.0021 2 0 0 0 0 0 0 0 0 0
## 1.0022 0 0 0 0 0 0 0 0 0 0
## 1.00242 0 0 0 0 0 0 0 0 0 0
## 1.0026 0 0 0 0 0 0 0 0 0 0
## 1.00289 0 0 0 0 0 0 0 0 0 0
## 1.00315 0 0 0 0 0 0 0 0 0 0
## 1.0032 0 0 0 0 0 0 0 0 0 0
## 1.00369 0 0 0 0 0 0 0 0 0 0
## Sum 9 17 9 6 2 1 3 3 1 1
## alcohol
## density 13.6 14 14.9 Sum
## 0.99007 0 0 0 2
## 0.9902 1 0 0 1
## 0.99064 0 0 0 2
## 0.9908 0 1 0 1
## 0.99084 0 1 0 1
## 0.9912 0 0 0 1
## 0.9915 0 0 0 1
## 0.99154 0 1 0 1
## 0.99157 1 0 0 1
## 0.9916 0 2 0 2
## 0.99162 0 0 0 1
## 0.9917 0 1 0 1
## 0.99182 1 0 0 2
## 0.99191 0 0 0 1
## 0.9921 0 0 0 1
## 0.9922 0 0 0 2
## 0.99235 0 0 0 1
## 0.99236 0 0 0 1
## 0.9924 0 0 0 3
## 0.99242 0 0 0 2
## 0.99252 0 0 0 1
## 0.99256 0 0 0 1
## 0.99258 0 0 0 3
## 0.99264 0 0 0 1
## 0.9927 0 0 0 1
## 0.9928 0 0 0 2
## 0.99286 0 0 0 1
## 0.9929 0 0 0 1
## 0.99292 0 0 0 1
## 0.99294 0 0 0 2
## 0.99306 0 0 0 1
## 0.99314 0 0 0 1
## 0.99316 0 0 0 2
## 0.99318 0 0 0 1
## 0.9932 0 0 0 1
## 0.99322 0 0 0 1
## 0.99323 0 0 0 1
## 0.99328 0 0 0 1
## 0.9933 1 0 0 1
## 0.99331 0 0 0 2
## 0.99332 0 0 0 1
## 0.99334 0 0 0 1
## 0.99336 0 0 0 1
## 0.9934 0 0 0 4
## 0.99341 0 0 0 1
## 0.99344 0 0 0 1
## 0.99346 0 0 0 3
## 0.99348 0 0 0 1
## 0.9935 0 0 0 1
## 0.99352 0 0 0 2
## 0.99354 0 0 0 2
## 0.99356 0 0 0 4
## 0.99357 0 0 0 1
## 0.99358 0 0 0 3
## 0.9936 0 0 0 2
## 0.99362 0 0 0 2
## 0.99364 0 0 0 1
## 0.9937 0 0 0 2
## 0.99371 0 0 0 2
## 0.99374 0 0 0 2
## 0.99376 0 0 0 3
## 0.99378 0 0 0 3
## 0.99379 0 0 0 1
## 0.9938 0 0 0 1
## 0.99384 0 0 0 1
## 0.99385 0 0 0 1
## 0.99386 0 0 0 1
## 0.99387 0 0 0 1
## 0.99388 0 0 0 2
## 0.99392 0 0 0 2
## 0.99394 0 0 0 1
## 0.99395 0 0 0 1
## 0.99396 0 0 0 3
## 0.99397 0 0 0 1
## 0.994 0 0 0 2
## 0.99402 0 0 0 4
## 0.99408 0 0 0 3
## 0.9941 0 0 0 1
## 0.99414 0 0 0 2
## 0.99416 0 0 0 1
## 0.99417 0 0 0 1
## 0.99418 0 0 0 2
## 0.99419 0 0 0 2
## 0.9942 0 0 0 3
## 0.99425 0 0 0 1
## 0.99426 0 0 0 1
## 0.99428 0 0 0 1
## 0.9943 0 0 0 2
## 0.99434 0 0 0 1
## 0.99437 0 0 0 1
## 0.99438 0 0 0 5
## 0.99439 0 0 0 1
## 0.9944 0 0 0 3
## 0.99444 0 0 0 4
## 0.99448 0 0 0 4
## 0.99451 0 0 0 1
## 0.99454 0 0 0 1
## 0.99456 0 0 0 1
## 0.99458 0 0 0 4
## 0.99459 0 0 0 1
## 0.9946 0 0 0 5
## 0.99462 0 0 0 2
## 0.99464 0 0 0 2
## 0.99467 0 0 0 2
## 0.99468 0 0 0 1
## 0.9947 0 1 0 6
## 0.99471 0 0 0 3
## 0.99472 0 0 0 3
## 0.99473 0 0 0 1
## 0.99474 0 0 0 1
## 0.99476 0 0 0 3
## 0.99478 0 0 0 2
## 0.99479 0 0 0 1
## 0.9948 0 0 0 9
## 0.99483 0 0 0 1
## 0.99484 0 0 0 3
## 0.99486 0 0 0 1
## 0.99488 0 0 0 4
## 0.99489 0 0 0 3
## 0.9949 0 0 0 4
## 0.99491 0 0 0 1
## 0.99492 0 0 0 2
## 0.99494 0 0 0 4
## 0.99495 0 0 0 2
## 0.99496 0 0 0 1
## 0.99498 0 0 0 5
## 0.99499 0 0 0 1
## 0.995 0 0 0 10
## 0.99501 0 0 0 1
## 0.99502 0 0 0 2
## 0.99504 0 0 0 2
## 0.99506 0 0 0 1
## 0.99508 0 0 0 3
## 0.99509 0 0 0 1
## 0.9951 0 0 0 4
## 0.99512 0 0 0 2
## 0.99514 0 0 0 5
## 0.99516 0 0 0 6
## 0.99517 0 0 0 1
## 0.99518 0 0 0 3
## 0.99519 0 0 0 1
## 0.9952 0 0 0 9
## 0.99521 0 0 0 1
## 0.99522 0 0 0 4
## 0.99523 0 0 0 1
## 0.99524 0 0 0 4
## 0.99525 0 0 0 2
## 0.99526 0 0 0 2
## 0.99528 0 0 0 3
## 0.99529 0 0 0 1
## 0.9953 0 0 0 4
## 0.99531 0 0 0 2
## 0.99532 0 0 0 1
## 0.99533 0 0 0 1
## 0.99534 0 0 0 6
## 0.99536 0 0 0 2
## 0.99538 0 0 0 11
## 0.9954 0 0 0 4
## 0.99541 0 0 0 1
## 0.99542 0 0 0 1
## 0.99543 0 0 0 2
## 0.99544 0 0 0 1
## 0.99545 0 0 0 3
## 0.99546 0 0 0 7
## 0.99547 0 0 0 2
## 0.99549 0 0 0 2
## 0.9955 0 0 0 14
## 0.99551 0 0 0 3
## 0.99552 0 0 0 5
## 0.99553 0 0 0 1
## 0.99554 0 0 0 3
## 0.99555 0 0 0 1
## 0.99556 0 0 0 2
## 0.99557 0 0 0 3
## 0.99558 0 0 0 3
## 0.9956 0 0 0 14
## 0.99562 0 0 0 4
## 0.99564 0 0 0 2
## 0.99565 0 0 0 3
## 0.99566 0 0 0 4
## 0.99568 0 0 0 4
## 0.99569 0 0 0 1
## 0.9957 0 0 0 6
## 0.99572 0 0 0 9
## 0.99573 0 0 0 1
## 0.99574 0 0 0 2
## 0.99575 0 0 0 2
## 0.99576 0 0 0 5
## 0.99577 0 0 0 3
## 0.99578 0 0 0 3
## 0.9958 0 0 0 14
## 0.99581 0 0 0 1
## 0.99582 0 0 0 1
## 0.99584 0 0 0 2
## 0.99585 0 0 0 3
## 0.99586 0 0 0 6
## 0.99587 0 0 0 2
## 0.99588 0 0 0 4
## 0.99589 0 0 0 1
## 0.9959 0 0 0 13
## 0.99592 0 0 0 4
## 0.99593 0 0 0 2
## 0.99594 0 0 0 1
## 0.99596 0 0 0 2
## 0.99598 0 0 0 2
## 0.99599 0 0 0 2
## 0.996 0 0 0 13
## 0.99603 0 0 0 2
## 0.99604 0 0 0 3
## 0.99605 0 0 0 3
## 0.99606 0 0 0 2
## 0.99608 0 0 0 2
## 0.99609 0 0 0 1
## 0.9961 0 0 0 10
## 0.99612 0 0 0 6
## 0.99613 0 0 0 4
## 0.99614 0 0 0 2
## 0.99615 0 0 0 5
## 0.99616 0 0 0 7
## 0.99617 0 0 0 1
## 0.99619 0 0 0 1
## 0.9962 0 0 0 28
## 0.99621 0 0 0 1
## 0.99622 0 0 0 5
## 0.99623 0 0 0 2
## 0.99624 0 0 0 3
## 0.99625 0 0 0 3
## 0.99627 0 0 0 3
## 0.99628 0 0 0 3
## 0.99629 0 0 0 2
## 0.9963 0 0 0 15
## 0.99631 0 0 0 1
## 0.99632 0 0 0 4
## 0.99633 0 0 0 4
## 0.99634 0 0 0 3
## 0.99635 0 0 0 1
## 0.99636 0 0 0 5
## 0.99638 0 0 0 5
## 0.99639 0 0 0 2
## 0.9964 0 0 0 25
## 0.99641 0 0 0 1
## 0.99642 0 0 0 3
## 0.99643 0 0 0 1
## 0.99645 0 0 0 1
## 0.99646 0 0 0 1
## 0.99647 0 0 0 2
## 0.99648 0 0 0 3
## 0.99649 0 0 0 1
## 0.9965 0 0 0 11
## 0.99651 0 0 0 1
## 0.99652 0 0 0 6
## 0.99654 0 0 0 2
## 0.99655 0 0 0 6
## 0.99656 0 0 0 5
## 0.99658 0 0 0 1
## 0.99659 0 0 0 2
## 0.9966 0 0 0 23
## 0.99661 0 0 0 1
## 0.99664 0 0 0 3
## 0.99665 0 0 0 1
## 0.99666 0 0 0 3
## 0.99667 0 0 0 1
## 0.99668 0 0 0 4
## 0.99669 0 0 0 2
## 0.9967 0 0 0 13
## 0.99672 0 0 0 5
## 0.99674 0 0 0 2
## 0.99675 0 0 0 5
## 0.99676 0 0 0 3
## 0.99677 0 0 0 2
## 0.99678 0 0 0 1
## 0.9968 0 0 0 35
## 0.99682 0 0 0 2
## 0.99683 0 0 0 2
## 0.99684 0 0 0 1
## 0.99685 0 0 0 8
## 0.99686 0 0 0 3
## 0.99688 0 0 0 2
## 0.99689 0 0 0 4
## 0.9969 0 0 0 18
## 0.99692 0 0 0 4
## 0.99693 0 0 0 2
## 0.99694 0 0 0 3
## 0.99695 0 0 0 1
## 0.99697 0 0 0 1
## 0.99698 0 0 0 1
## 0.99699 0 0 0 1
## 0.997 0 0 0 24
## 0.99701 0 0 0 2
## 0.99702 0 0 0 4
## 0.99704 0 0 0 3
## 0.99705 0 0 0 1
## 0.99706 0 0 0 2
## 0.99708 0 0 0 4
## 0.99709 0 0 0 1
## 0.9971 0 0 0 13
## 0.99712 0 0 0 4
## 0.99713 0 0 0 2
## 0.99714 0 0 0 2
## 0.99716 0 0 0 2
## 0.99717 0 0 0 1
## 0.99718 0 0 0 3
## 0.99719 0 0 0 1
## 0.9972 0 0 0 36
## 0.99721 0 0 0 1
## 0.99722 0 0 0 1
## 0.99724 0 0 0 4
## 0.99725 0 0 0 1
## 0.99726 0 0 0 1
## 0.99727 0 0 0 1
## 0.99728 0 0 0 3
## 0.99729 0 0 0 1
## 0.9973 0 0 0 18
## 0.99732 0 0 0 3
## 0.99733 0 0 0 1
## 0.99734 0 0 0 4
## 0.99735 0 0 0 6
## 0.99736 0 0 0 5
## 0.99738 0 0 0 4
## 0.99739 0 0 0 1
## 0.9974 0 0 0 22
## 0.99743 0 0 0 2
## 0.99744 0 0 0 2
## 0.99745 0 0 0 9
## 0.99746 0 0 0 7
## 0.99747 0 0 0 2
## 0.99748 0 0 0 3
## 0.9975 0 0 0 7
## 0.99752 0 0 0 1
## 0.99754 0 0 0 1
## 0.99756 0 0 0 1
## 0.99758 0 0 0 1
## 0.9976 0 0 1 35
## 0.99761 0 0 0 1
## 0.99764 0 0 0 1
## 0.99765 0 0 0 1
## 0.99768 0 0 0 3
## 0.99769 0 0 0 2
## 0.9977 0 0 0 4
## 0.99772 0 0 0 1
## 0.99774 0 0 0 5
## 0.99779 0 0 0 1
## 0.9978 0 0 0 26
## 0.99782 0 0 0 2
## 0.99783 0 0 0 2
## 0.99784 0 0 0 1
## 0.99785 0 0 0 1
## 0.99786 0 0 0 4
## 0.99787 0 0 0 3
## 0.99788 0 0 0 2
## 0.9979 0 0 0 14
## 0.99791 0 0 0 1
## 0.99796 0 0 0 1
## 0.99798 0 0 0 2
## 0.998 0 0 0 29
## 0.99801 0 0 0 2
## 0.99803 0 0 0 3
## 0.99808 0 0 0 1
## 0.9981 0 0 0 10
## 0.99814 0 0 0 2
## 0.99815 0 0 0 2
## 0.99817 0 0 0 2
## 0.99818 0 0 0 3
## 0.9982 0 0 0 23
## 0.99822 0 0 0 1
## 0.99823 0 0 0 1
## 0.99824 0 0 0 3
## 0.99828 0 0 0 2
## 0.9983 0 0 0 9
## 0.99832 0 0 0 1
## 0.99834 0 0 0 1
## 0.99836 0 0 0 2
## 0.9984 0 0 0 20
## 0.99842 0 0 0 2
## 0.99845 0 0 0 1
## 0.9985 0 0 0 3
## 0.99852 0 0 0 1
## 0.99854 0 0 0 1
## 0.99855 0 0 0 2
## 0.99859 0 0 0 1
## 0.9986 0 0 0 19
## 0.99864 0 0 0 1
## 0.99865 0 0 0 2
## 0.9987 0 0 0 12
## 0.99878 0 0 0 1
## 0.9988 0 0 0 20
## 0.99888 0 0 0 2
## 0.9989 0 0 0 2
## 0.99892 0 0 0 3
## 0.999 0 0 0 8
## 0.99901 0 0 0 1
## 0.9991 0 0 0 10
## 0.99914 0 0 0 3
## 0.99915 0 0 0 1
## 0.99918 0 0 0 1
## 0.9992 0 0 0 7
## 0.99922 0 0 0 1
## 0.99925 0 0 0 1
## 0.9993 0 0 0 4
## 0.99935 0 0 0 1
## 0.99938 0 0 0 1
## 0.99939 0 0 0 1
## 0.9994 0 0 0 24
## 0.9995 0 0 0 1
## 0.9996 0 0 0 12
## 0.99965 0 0 0 1
## 0.9997 0 0 0 8
## 0.99974 0 0 0 1
## 0.99975 0 0 0 1
## 0.99976 0 0 0 1
## 0.9998 0 0 0 10
## 0.9999 0 0 0 1
## 1 0 0 0 10
## 1.00005 0 0 0 2
## 1.0001 0 0 0 4
## 1.00012 0 0 0 1
## 1.00015 0 0 0 2
## 1.0002 0 0 0 10
## 1.00024 0 0 0 1
## 1.00025 0 0 0 1
## 1.0003 0 0 0 2
## 1.0004 0 0 0 9
## 1.0006 0 0 0 6
## 1.0008 0 0 0 3
## 1.001 0 0 0 6
## 1.0014 0 0 0 6
## 1.0015 0 0 0 2
## 1.0018 0 0 0 1
## 1.0021 0 0 0 2
## 1.0022 0 0 0 2
## 1.00242 0 0 0 2
## 1.0026 0 0 0 2
## 1.00289 0 0 0 1
## 1.00315 0 0 0 3
## 1.0032 0 0 0 1
## 1.00369 0 0 0 2
## Sum 4 7 1 1599chisq.test(mytable)## Warning in chisq.test(mytable): Chi-squared approximation may be incorrect##
## Pearson's Chi-squared test
##
## data: mytable
## X-squared = 44200, df = 27840, p-value < 2.2e-16ggplot(data=redwine, aes(x=density, y=alcohol))+
geom_point(alpha=0.5, size=1)+ geom_smooth(method='lm', se=FALSE)
mytable<-xtabs(~chlorides+alcohol, data = redwine)
addmargins(mytable)## alcohol
## chlorides 8.4 8.5 8.7 8.8 9 9.05 9.1 9.2 9.23333333333333 9.25
## 0.012 0 0 0 0 0 0 0 0 0 0
## 0.034 0 0 0 0 0 0 0 0 0 0
## 0.038 0 0 0 0 0 0 0 0 0 0
## 0.039 0 0 0 0 0 0 0 0 0 0
## 0.041 0 0 0 0 0 0 0 0 0 0
## 0.042 0 0 0 0 0 0 0 0 0 0
## 0.043 0 0 0 0 0 0 0 0 0 0
## 0.044 0 0 0 0 0 0 0 0 0 0
## 0.045 0 0 0 0 0 0 0 0 0 0
## 0.046 0 0 0 0 0 0 0 0 0 0
## 0.047 0 0 0 0 0 0 0 0 0 0
## 0.048 0 0 0 0 0 0 0 0 0 0
## 0.049 0 0 0 0 0 0 0 0 0 0
## 0.05 0 0 0 0 0 0 1 0 0 0
## 0.051 0 0 0 0 0 0 0 0 0 0
## 0.052 0 0 0 0 0 0 0 0 0 0
## 0.053 0 0 0 0 0 0 0 0 0 0
## 0.054 0 0 0 0 0 0 0 0 0 0
## 0.055 0 0 0 0 0 0 0 0 0 0
## 0.056 0 0 1 0 0 0 0 0 0 0
## 0.057 0 0 0 0 0 0 0 0 0 0
## 0.058 0 0 0 0 0 0 1 0 0 0
## 0.059 0 0 0 0 0 0 0 0 0 0
## 0.06 0 0 0 0 0 0 0 0 0 0
## 0.061 0 0 0 0 0 0 0 0 0 0
## 0.062 0 0 0 0 0 0 0 0 0 0
## 0.063 0 0 0 0 0 0 0 0 0 0
## 0.064 0 0 0 0 0 0 0 0 0 0
## 0.065 0 0 0 0 2 0 0 1 0 0
## 0.066 0 0 0 0 0 0 0 2 0 0
## 0.067 0 0 0 0 0 0 1 0 0 0
## 0.068 0 0 0 0 0 0 0 0 0 0
## 0.069 0 0 0 0 0 0 0 3 0 0
## 0.07 0 0 0 0 1 0 1 2 0 0
## 0.071 0 0 0 0 2 0 0 3 0 0
## 0.072 0 0 0 0 1 0 1 1 0 0
## 0.073 0 0 0 0 0 0 0 3 0 0
## 0.074 0 0 0 0 4 0 0 4 1 1
## 0.075 1 0 0 0 0 0 1 5 0 0
## 0.076 0 0 0 0 2 0 0 1 0 0
## 0.077 0 0 0 0 0 0 0 3 0 0
## 0.078 0 0 0 0 0 0 0 1 0 0
## 0.079 0 0 0 0 0 0 0 1 0 0
## 0.08 0 0 0 0 4 0 1 1 0 0
## 0.081 0 0 0 0 2 0 0 1 0 0
## 0.082 0 0 0 0 0 1 0 4 0 0
## 0.083 0 0 0 0 0 0 0 2 0 0
## 0.084 0 0 1 0 0 0 0 2 0 0
## 0.085 0 0 0 0 0 0 0 1 0 0
## 0.086 0 0 0 0 1 0 1 0 0 0
## 0.087 0 0 0 0 0 0 0 2 0 0
## 0.088 0 0 0 0 0 0 1 3 0 0
## 0.089 0 0 0 0 0 0 0 1 0 0
## 0.09 0 0 0 0 0 0 0 1 0 0
## 0.091 0 0 0 0 0 0 0 0 0 0
## 0.092 0 0 0 0 0 0 0 2 0 0
## 0.093 0 0 0 0 0 0 0 1 0 0
## 0.094 0 0 0 0 1 0 1 2 0 0
## 0.095 0 0 0 0 0 0 2 0 0 0
## 0.096 0 0 0 0 0 0 1 0 0 0
## 0.097 0 0 0 0 3 0 0 4 0 0
## 0.098 0 0 0 0 1 0 2 2 0 0
## 0.099 0 0 0 0 0 0 0 0 0 0
## 0.1 0 0 0 0 0 0 0 0 0 0
## 0.101 0 0 0 0 0 0 0 0 0 0
## 0.102 0 0 0 0 0 0 0 0 0 0
## 0.103 0 0 0 0 0 0 0 1 0 0
## 0.104 0 0 0 0 0 0 2 0 0 0
## 0.105 0 0 0 0 0 0 0 1 0 0
## 0.106 0 0 0 0 0 0 0 1 0 0
## 0.107 0 0 0 0 0 0 0 1 0 0
## 0.108 0 0 0 0 0 0 0 0 0 0
## 0.109 0 0 0 0 0 0 1 0 0 0
## 0.11 0 0 0 0 0 0 0 0 0 0
## 0.111 0 0 0 0 0 0 0 0 0 0
## 0.112 0 0 0 0 0 0 1 1 0 0
## 0.113 0 0 0 0 0 0 0 0 0 0
## 0.114 0 0 0 0 0 0 1 1 0 0
## 0.115 0 0 0 0 0 0 0 0 0 0
## 0.116 0 0 0 0 0 0 0 0 0 0
## 0.117 0 0 0 0 0 0 0 0 0 0
## 0.118 0 0 0 0 0 0 0 0 0 0
## 0.119 0 0 0 0 0 0 0 0 0 0
## 0.12 0 0 0 0 0 0 0 0 0 0
## 0.121 0 0 0 0 0 0 0 0 0 0
## 0.122 0 0 0 0 0 0 0 0 0 0
## 0.123 0 0 0 0 0 0 0 0 0 0
## 0.124 0 0 0 0 0 0 0 0 0 0
## 0.125 0 0 0 0 0 0 0 0 0 0
## 0.126 0 0 0 0 0 0 0 0 0 0
## 0.127 0 0 0 0 0 0 0 0 0 0
## 0.128 0 0 0 0 0 0 0 0 0 0
## 0.132 0 0 0 0 0 0 0 0 0 0
## 0.136 0 0 0 0 0 0 0 0 0 0
## 0.137 0 0 0 0 0 0 0 0 0 0
## 0.143 0 0 0 0 0 0 0 0 0 0
## 0.145 0 0 0 0 0 0 0 0 0 0
## 0.146 0 0 0 0 0 0 0 0 0 0
## 0.147 0 0 0 0 0 0 0 0 0 0
## 0.148 0 0 0 0 0 0 0 0 0 0
## 0.152 0 0 0 0 0 0 0 0 0 0
## 0.153 0 0 0 0 0 0 0 0 0 0
## 0.157 0 0 0 0 0 0 0 0 0 0
## 0.159 0 0 0 0 0 0 0 0 0 0
## 0.161 0 0 0 0 0 0 0 0 0 0
## 0.165 0 0 0 0 0 0 0 1 0 0
## 0.166 0 0 0 0 0 0 0 0 0 0
## 0.168 0 0 0 0 0 0 0 0 0 0
## 0.169 0 1 0 0 0 0 0 0 0 0
## 0.17 0 0 0 0 0 0 0 1 0 0
## 0.171 0 0 0 0 0 0 0 0 0 0
## 0.172 0 0 0 0 0 0 0 0 0 0
## 0.174 0 0 0 0 0 0 0 0 0 0
## 0.176 0 0 0 0 0 0 0 1 0 0
## 0.178 0 0 0 0 1 0 0 0 0 0
## 0.186 0 0 0 0 0 0 0 0 0 0
## 0.19 0 0 0 0 0 0 0 0 0 0
## 0.194 0 0 0 0 0 0 0 0 0 0
## 0.2 1 0 0 0 0 0 0 0 0 0
## 0.205 0 0 0 2 0 0 0 0 0 0
## 0.213 0 0 0 0 0 0 0 0 0 0
## 0.214 0 0 0 0 2 0 0 0 0 0
## 0.216 0 0 0 0 0 0 0 0 0 0
## 0.222 0 0 0 0 0 0 0 0 0 0
## 0.226 0 0 0 0 2 0 0 0 0 0
## 0.23 0 0 0 0 0 0 0 0 0 0
## 0.235 0 0 0 0 0 0 0 0 0 0
## 0.236 0 0 0 0 0 0 0 0 0 0
## 0.241 0 0 0 0 0 0 0 0 0 0
## 0.243 0 0 0 0 0 0 0 0 0 0
## 0.25 0 0 0 0 0 0 0 0 0 0
## 0.263 0 0 0 0 0 0 0 0 0 0
## 0.267 0 0 0 0 0 0 0 0 0 0
## 0.27 0 0 0 0 0 0 0 0 0 0
## 0.332 0 0 0 0 0 0 0 0 0 0
## 0.337 0 0 0 0 0 0 0 0 0 0
## 0.341 0 0 0 0 0 0 0 1 0 0
## 0.343 0 0 0 0 0 0 0 0 0 0
## 0.358 0 0 0 0 0 0 0 0 0 0
## 0.36 0 0 0 0 0 0 0 0 0 0
## 0.368 0 0 0 0 0 0 0 0 0 0
## 0.369 0 0 0 0 0 0 0 0 0 0
## 0.387 0 0 0 0 0 0 0 0 0 0
## 0.401 0 0 0 0 0 0 0 0 0 0
## 0.403 0 0 0 0 0 0 0 0 0 0
## 0.413 0 0 0 0 0 0 1 0 0 0
## 0.414 0 0 0 0 0 0 1 1 0 0
## 0.415 0 0 0 0 0 0 1 2 0 0
## 0.422 0 0 0 0 1 0 0 0 0 0
## 0.464 0 0 0 0 0 0 0 0 0 0
## 0.467 0 0 0 0 0 0 0 0 0 0
## 0.61 0 0 0 0 0 0 0 0 0 0
## 0.611 0 0 0 0 0 0 0 0 0 0
## Sum 2 1 2 2 30 1 23 72 1 1
## alcohol
## chlorides 9.3 9.4 9.5 9.55 9.56666666666667 9.6 9.7 9.8 9.9 9.95
## 0.012 0 0 0 0 0 0 0 0 0 0
## 0.034 0 0 0 0 0 0 0 0 0 0
## 0.038 0 0 0 0 0 0 0 0 0 0
## 0.039 0 1 0 0 0 0 0 0 0 0
## 0.041 0 0 0 0 0 0 0 0 0 0
## 0.042 0 0 0 0 0 0 0 0 0 0
## 0.043 0 0 0 0 0 0 0 0 0 0
## 0.044 0 0 0 0 0 0 0 0 0 0
## 0.045 0 0 1 0 0 0 0 0 0 0
## 0.046 0 0 0 0 0 0 0 0 0 0
## 0.047 0 0 0 0 0 0 1 0 0 0
## 0.048 0 0 0 0 0 0 0 0 0 0
## 0.049 0 0 0 0 0 0 0 0 0 0
## 0.05 0 0 1 0 0 0 0 0 0 0
## 0.051 0 0 0 0 0 0 0 0 0 0
## 0.052 0 0 0 0 0 0 0 0 0 0
## 0.053 0 0 1 0 0 0 0 0 0 0
## 0.054 0 0 0 0 0 0 0 0 0 0
## 0.055 0 0 0 0 0 0 0 0 0 0
## 0.056 0 0 0 0 0 0 0 0 0 0
## 0.057 1 0 4 0 0 0 0 0 0 0
## 0.058 0 0 0 0 0 0 0 1 1 0
## 0.059 1 0 0 0 0 0 0 0 0 0
## 0.06 0 0 0 0 0 1 0 1 0 0
## 0.061 0 0 1 0 0 0 1 0 0 0
## 0.062 1 0 1 0 0 2 0 0 0 0
## 0.063 2 0 0 0 0 0 2 1 2 0
## 0.064 0 1 0 0 0 1 1 0 0 0
## 0.065 0 1 0 0 0 0 1 0 1 0
## 0.066 1 2 3 0 0 0 1 0 2 0
## 0.067 0 1 4 0 0 0 0 0 1 0
## 0.068 0 1 1 0 0 1 0 1 0 0
## 0.069 1 2 1 0 0 0 0 2 1 0
## 0.07 2 4 2 0 0 3 0 2 1 0
## 0.071 1 4 2 0 0 1 2 0 0 0
## 0.072 1 2 0 0 0 0 0 1 0 0
## 0.073 4 1 6 0 0 1 0 2 1 0
## 0.074 0 2 5 0 0 4 1 5 4 0
## 0.075 1 3 6 0 0 1 3 1 0 0
## 0.076 3 6 5 0 0 5 1 3 2 0
## 0.077 3 6 2 0 0 2 2 4 1 0
## 0.078 1 2 6 0 0 1 4 6 4 1
## 0.079 3 1 7 0 0 3 2 5 0 0
## 0.08 1 7 9 0 0 1 5 3 8 0
## 0.081 1 2 3 0 0 1 1 5 0 0
## 0.082 2 8 5 0 0 2 5 2 0 0
## 0.083 0 5 4 0 0 1 0 5 1 0
## 0.084 2 5 4 0 0 1 6 3 5 0
## 0.085 0 1 4 0 0 0 1 2 0 0
## 0.086 1 1 2 0 0 1 0 0 2 0
## 0.087 1 2 2 0 0 0 1 1 0 0
## 0.088 4 3 1 0 0 0 0 1 0 0
## 0.089 0 1 5 0 0 3 2 1 1 0
## 0.09 1 0 2 1 0 4 2 0 0 0
## 0.091 0 1 3 0 0 2 1 0 0 0
## 0.092 0 1 1 1 0 1 0 2 0 0
## 0.093 1 1 5 0 0 0 0 0 0 0
## 0.094 0 0 1 0 1 2 2 1 0 0
## 0.095 0 0 1 0 0 1 1 0 2 0
## 0.096 0 3 2 0 0 2 0 1 0 0
## 0.097 3 3 0 0 0 2 0 0 0 0
## 0.098 0 0 0 0 0 0 1 1 0 0
## 0.099 1 1 1 0 0 0 1 1 0 0
## 0.1 1 1 1 0 0 2 0 0 0 0
## 0.101 0 1 0 0 0 1 0 0 0 0
## 0.102 0 0 0 0 0 0 0 3 0 0
## 0.103 0 0 1 0 0 0 0 0 0 0
## 0.104 0 0 2 0 0 1 0 0 0 0
## 0.105 0 0 1 0 0 0 0 0 1 0
## 0.106 0 0 2 0 0 2 0 0 0 0
## 0.107 0 0 2 0 0 0 0 0 1 0
## 0.108 1 0 0 0 0 0 0 0 0 0
## 0.109 0 0 0 0 0 0 0 0 0 0
## 0.11 1 0 0 0 0 0 0 1 2 0
## 0.111 1 2 0 0 0 0 1 0 0 0
## 0.112 1 0 2 0 0 0 0 0 0 0
## 0.113 0 0 1 0 0 0 0 0 0 0
## 0.114 0 0 1 0 0 1 1 2 0 0
## 0.115 1 0 2 0 0 0 0 0 0 0
## 0.116 0 0 0 0 0 0 0 0 0 0
## 0.117 1 1 0 0 0 0 0 0 0 0
## 0.118 0 1 0 0 0 0 0 4 0 0
## 0.119 0 0 0 0 0 0 0 0 0 0
## 0.12 0 0 0 0 0 0 0 0 0 0
## 0.121 0 0 0 0 0 0 0 0 0 0
## 0.122 2 0 0 0 0 0 0 0 2 0
## 0.123 0 0 0 0 0 0 0 1 0 0
## 0.124 0 0 0 0 0 0 0 0 0 0
## 0.125 0 0 0 0 0 0 1 0 0 0
## 0.126 0 0 0 0 0 1 0 0 0 0
## 0.127 0 0 0 0 0 0 0 0 0 0
## 0.128 0 0 0 0 0 0 0 0 0 0
## 0.132 0 0 0 0 0 0 0 0 0 0
## 0.136 0 0 0 0 0 0 0 0 0 0
## 0.137 0 0 0 0 0 0 0 0 0 0
## 0.143 0 0 0 0 0 0 0 0 0 0
## 0.145 0 0 0 0 0 0 0 0 1 0
## 0.146 0 1 0 0 0 0 0 0 0 0
## 0.147 0 0 0 0 0 0 0 0 1 0
## 0.148 0 0 0 0 0 0 0 0 0 0
## 0.152 0 2 0 0 0 0 0 0 0 0
## 0.153 0 0 0 0 0 0 0 0 0 0
## 0.157 0 1 2 0 0 0 0 0 0 0
## 0.159 0 1 0 0 0 0 0 0 0 0
## 0.161 0 0 0 0 0 0 0 0 0 0
## 0.165 0 0 0 0 0 0 0 0 0 0
## 0.166 0 0 0 0 0 0 0 0 0 0
## 0.168 0 0 1 0 0 0 0 0 0 0
## 0.169 0 0 0 0 0 0 0 0 0 0
## 0.17 0 0 0 0 0 0 0 0 0 0
## 0.171 0 1 0 0 0 0 0 0 0 0
## 0.172 0 0 0 0 0 0 0 1 0 0
## 0.174 0 0 0 0 0 0 0 0 0 0
## 0.176 0 0 0 0 0 0 0 0 0 0
## 0.178 0 0 0 0 0 0 0 1 0 0
## 0.186 0 0 1 0 0 0 0 0 0 0
## 0.19 0 1 0 0 0 0 0 0 0 0
## 0.194 0 0 0 0 0 0 0 0 0 0
## 0.2 0 0 0 0 0 0 0 0 0 0
## 0.205 0 0 0 0 0 0 0 0 0 0
## 0.213 0 0 1 0 0 0 0 0 0 0
## 0.214 0 0 1 0 0 0 0 0 0 0
## 0.216 0 0 0 0 0 0 0 0 0 0
## 0.222 0 0 1 0 0 0 0 0 0 0
## 0.226 0 0 0 0 0 0 0 0 0 0
## 0.23 0 0 0 0 0 0 0 0 0 0
## 0.235 0 0 1 0 0 0 0 0 0 0
## 0.236 1 0 0 0 0 0 0 0 0 0
## 0.241 0 0 0 0 0 0 0 0 0 0
## 0.243 0 0 0 0 0 0 0 0 0 0
## 0.25 0 0 0 0 0 0 0 0 0 0
## 0.263 1 0 0 0 0 0 0 0 0 0
## 0.267 0 0 0 0 0 0 0 1 0 0
## 0.27 1 0 0 0 0 0 0 0 0 0
## 0.332 0 0 0 0 0 0 0 0 0 0
## 0.337 0 0 1 0 0 0 0 0 0 0
## 0.341 0 0 0 0 0 0 0 0 0 0
## 0.343 0 0 0 0 0 0 0 0 0 0
## 0.358 0 0 0 0 0 0 0 0 1 0
## 0.36 0 0 1 0 0 0 0 0 0 0
## 0.368 1 0 0 0 0 0 0 0 0 0
## 0.369 0 1 0 0 0 0 0 0 0 0
## 0.387 0 0 0 0 0 1 0 0 0 0
## 0.401 0 1 0 0 0 0 0 0 0 0
## 0.403 1 0 0 0 0 0 0 0 0 0
## 0.413 0 0 0 0 0 0 0 0 0 0
## 0.414 0 0 0 0 0 0 0 0 0 0
## 0.415 0 0 0 0 0 0 0 0 0 0
## 0.422 0 0 0 0 0 0 0 0 0 0
## 0.464 0 1 0 0 0 0 0 0 0 0
## 0.467 1 0 0 0 0 0 0 0 0 0
## 0.61 0 1 0 0 0 0 0 0 0 0
## 0.611 0 1 0 0 0 0 0 0 0 0
## Sum 59 103 139 2 1 59 54 78 49 1
## alcohol
## chlorides 10 10.0333333333333 10.1 10.2 10.3 10.4 10.5 10.55 10.6 10.7
## 0.012 0 0 0 0 0 0 0 0 0 0
## 0.034 0 0 0 0 0 0 0 0 0 0
## 0.038 0 0 0 0 0 0 0 0 0 0
## 0.039 0 0 0 0 0 0 0 0 0 0
## 0.041 0 0 0 0 0 0 0 0 0 0
## 0.042 0 0 0 0 0 0 0 0 0 1
## 0.043 0 0 0 0 0 0 0 0 0 0
## 0.044 0 0 0 0 0 0 0 0 0 0
## 0.045 0 0 0 0 0 0 1 0 0 0
## 0.046 0 0 0 0 0 0 0 0 0 0
## 0.047 0 0 0 0 0 0 0 0 0 0
## 0.048 0 0 0 0 0 0 0 0 0 0
## 0.049 0 0 0 0 0 0 0 0 0 0
## 0.05 0 0 0 1 0 0 0 1 0 0
## 0.051 0 0 0 0 0 0 0 0 0 0
## 0.052 0 0 0 0 1 0 0 0 0 0
## 0.053 1 0 0 0 0 0 0 0 0 0
## 0.054 2 0 0 0 0 1 1 0 1 0
## 0.055 0 0 0 0 0 0 0 0 0 0
## 0.056 0 0 0 0 1 0 0 0 0 0
## 0.057 0 0 0 0 0 0 0 0 0 0
## 0.058 0 0 0 0 0 1 0 0 1 1
## 0.059 0 0 2 2 0 0 1 0 0 0
## 0.06 1 0 1 1 0 0 1 0 0 0
## 0.061 1 0 0 1 0 1 0 0 0 0
## 0.062 3 0 0 0 0 0 2 0 2 0
## 0.063 1 0 0 2 2 0 0 0 0 0
## 0.064 0 0 0 1 0 1 0 0 0 2
## 0.065 2 0 0 0 0 0 3 1 0 0
## 0.066 1 0 1 0 0 1 0 0 1 0
## 0.067 1 0 1 0 2 1 1 0 1 1
## 0.068 1 0 1 2 1 0 2 0 0 0
## 0.069 2 0 1 0 2 1 0 0 0 0
## 0.07 2 0 0 0 2 0 2 0 0 0
## 0.071 1 0 2 3 0 1 5 0 3 0
## 0.072 1 0 0 1 0 0 0 0 0 0
## 0.073 0 0 0 1 1 0 3 0 0 0
## 0.074 0 0 0 2 0 0 4 0 1 1
## 0.075 1 0 1 1 0 5 0 0 0 0
## 0.076 2 0 6 1 0 2 0 0 1 4
## 0.077 3 0 1 0 2 3 1 0 5 0
## 0.078 3 0 0 1 2 3 1 0 1 0
## 0.079 2 0 4 2 0 1 1 0 0 1
## 0.08 0 0 2 0 2 0 2 0 1 2
## 0.081 2 0 0 1 3 1 2 0 0 0
## 0.082 0 0 0 1 0 4 2 0 1 4
## 0.083 5 0 0 2 1 2 1 0 0 0
## 0.084 2 0 3 1 0 0 4 0 0 1
## 0.085 2 0 0 1 0 1 3 0 1 0
## 0.086 2 0 4 0 2 0 1 0 1 1
## 0.087 1 0 0 2 0 0 5 0 0 2
## 0.088 2 0 2 1 0 2 3 0 0 1
## 0.089 2 0 1 0 0 3 1 0 0 0
## 0.09 0 0 0 2 0 1 4 0 0 0
## 0.091 0 2 0 0 1 0 2 0 2 0
## 0.092 6 0 1 1 1 0 3 0 0 0
## 0.093 1 0 1 0 0 0 2 0 1 1
## 0.094 2 0 1 1 0 0 0 0 1 0
## 0.095 1 0 2 0 1 1 0 0 0 0
## 0.096 2 0 1 1 0 0 0 0 0 0
## 0.097 0 0 0 0 0 0 0 0 0 1
## 0.098 0 0 1 0 2 0 0 0 0 0
## 0.099 0 0 0 0 0 1 0 0 0 0
## 0.1 0 0 0 1 0 0 0 0 0 0
## 0.101 0 0 0 0 0 0 0 0 0 0
## 0.102 3 0 1 0 0 0 0 0 0 1
## 0.103 1 0 0 0 0 0 0 0 0 0
## 0.104 0 0 4 0 0 0 0 0 2 1
## 0.105 0 0 0 0 0 0 0 0 1 0
## 0.106 0 0 0 1 0 0 0 0 0 0
## 0.107 0 0 1 0 0 0 0 0 0 0
## 0.108 0 0 0 0 0 0 0 0 0 0
## 0.109 0 0 0 0 0 1 0 0 0 0
## 0.11 0 0 0 1 0 1 0 0 0 0
## 0.111 0 0 0 1 0 0 0 0 0 0
## 0.112 0 0 0 0 0 0 0 0 0 0
## 0.113 0 0 0 0 0 0 0 0 0 0
## 0.114 0 0 0 0 1 0 1 0 0 0
## 0.115 0 0 1 0 1 0 0 0 0 0
## 0.116 0 0 0 0 0 0 0 0 0 0
## 0.117 0 0 0 0 0 0 0 0 0 0
## 0.118 0 0 0 0 0 0 0 0 0 0
## 0.119 0 0 0 0 0 0 0 0 0 0
## 0.12 0 0 0 0 0 0 0 0 0 0
## 0.121 0 0 0 0 0 1 0 0 0 0
## 0.122 0 0 0 1 0 0 0 0 0 0
## 0.123 0 0 0 0 0 0 0 0 0 0
## 0.124 0 0 0 2 0 0 0 0 0 0
## 0.125 0 0 0 0 0 0 0 0 0 0
## 0.126 0 0 0 0 0 0 0 0 0 0
## 0.127 0 0 0 0 0 0 0 0 0 0
## 0.128 0 0 0 0 0 0 0 0 0 0
## 0.132 0 0 0 1 0 0 0 0 0 0
## 0.136 1 0 0 0 0 0 0 0 0 0
## 0.137 0 0 0 0 0 0 0 0 0 0
## 0.143 0 0 0 1 0 0 0 0 0 0
## 0.145 0 0 0 0 0 0 0 0 0 0
## 0.146 0 0 0 0 0 0 0 0 0 0
## 0.147 0 0 0 0 0 0 0 0 0 0
## 0.148 0 0 0 1 0 0 0 0 0 0
## 0.152 0 0 0 0 0 0 0 0 0 0
## 0.153 0 0 0 0 0 0 0 0 0 0
## 0.157 0 0 0 0 0 0 0 0 0 0
## 0.159 0 0 0 0 0 0 0 0 0 0
## 0.161 0 0 0 0 0 0 0 0 0 0
## 0.165 0 0 0 0 0 0 0 0 0 0
## 0.166 1 0 0 0 0 0 0 0 0 0
## 0.168 0 0 0 0 0 0 0 0 0 0
## 0.169 0 0 0 0 0 0 0 0 0 0
## 0.17 0 0 0 0 0 0 0 0 0 0
## 0.171 0 0 0 0 0 0 0 0 0 0
## 0.172 0 0 0 0 0 0 0 0 0 0
## 0.174 0 0 0 0 0 0 0 0 0 0
## 0.176 0 0 0 0 0 0 0 0 0 0
## 0.178 0 0 0 0 0 0 0 0 0 0
## 0.186 0 0 0 0 0 0 0 0 0 0
## 0.19 0 0 0 0 0 0 0 0 0 0
## 0.194 0 0 0 0 0 0 0 0 0 0
## 0.2 0 0 0 0 0 0 0 0 0 0
## 0.205 0 0 0 0 0 0 0 0 0 0
## 0.213 0 0 0 0 0 0 0 0 0 0
## 0.214 0 0 0 0 0 0 0 0 0 0
## 0.216 0 0 0 0 0 0 0 0 0 0
## 0.222 0 0 0 0 0 0 0 0 0 0
## 0.226 0 0 0 0 0 0 0 0 0 0
## 0.23 0 0 0 0 0 0 0 0 0 0
## 0.235 0 0 0 0 0 0 0 0 0 0
## 0.236 0 0 0 0 0 0 0 0 0 0
## 0.241 0 0 0 0 1 0 0 0 0 0
## 0.243 0 0 0 0 1 0 0 0 0 0
## 0.25 0 0 0 0 0 0 0 0 0 1
## 0.263 0 0 0 0 0 0 0 0 0 0
## 0.267 0 0 0 0 0 0 0 0 0 0
## 0.27 0 0 0 0 0 0 0 0 0 0
## 0.332 0 0 0 0 0 0 1 0 0 0
## 0.337 0 0 0 0 0 0 0 0 0 0
## 0.341 0 0 0 0 0 0 0 0 0 0
## 0.343 0 0 0 0 0 0 1 0 0 0
## 0.358 0 0 0 0 0 0 0 0 0 0
## 0.36 0 0 0 0 0 0 0 0 0 0
## 0.368 0 0 0 0 0 0 0 0 0 0
## 0.369 0 0 0 0 0 0 0 0 0 0
## 0.387 0 0 0 0 0 0 0 0 0 0
## 0.401 0 0 0 0 0 0 0 0 0 0
## 0.403 0 0 0 0 0 0 0 0 0 0
## 0.413 0 0 0 0 0 0 0 0 0 0
## 0.414 0 0 0 0 0 0 0 0 0 0
## 0.415 0 0 0 0 0 0 0 0 0 0
## 0.422 0 0 0 0 0 0 0 0 0 0
## 0.464 0 0 0 0 0 0 0 0 0 0
## 0.467 0 0 0 0 0 0 0 0 0 0
## 0.61 0 0 0 0 0 0 0 0 0 0
## 0.611 0 0 0 0 0 0 0 0 0 0
## Sum 67 2 47 46 33 41 67 2 28 27
## alcohol
## chlorides 10.75 10.8 10.9 11 11.0666666666667 11.1 11.2 11.3 11.4 11.5
## 0.012 0 0 0 0 0 0 0 0 0 0
## 0.034 0 0 0 0 0 0 0 0 0 0
## 0.038 0 1 0 0 0 1 0 0 0 0
## 0.039 0 0 0 0 0 0 0 0 0 1
## 0.041 0 0 0 0 0 0 0 0 1 0
## 0.042 0 0 0 0 0 0 0 0 0 0
## 0.043 0 0 0 0 0 0 0 0 1 0
## 0.044 0 0 1 0 0 0 0 0 0 0
## 0.045 0 0 0 0 0 0 0 0 1 0
## 0.046 0 0 0 0 0 0 0 0 0 0
## 0.047 0 0 2 0 0 0 0 0 0 0
## 0.048 0 1 0 0 0 0 0 0 0 0
## 0.049 0 0 0 0 0 0 0 1 2 0
## 0.05 0 0 0 1 0 0 0 0 0 1
## 0.051 0 0 0 0 0 0 0 0 0 0
## 0.052 0 0 2 0 0 0 0 0 0 0
## 0.053 0 0 0 0 0 0 0 2 0 0
## 0.054 0 0 1 0 0 0 0 0 0 3
## 0.055 0 1 0 0 0 0 2 1 0 0
## 0.056 0 0 0 1 0 0 0 1 1 1
## 0.057 0 0 0 0 0 1 2 0 0 0
## 0.058 0 0 1 0 0 2 1 0 1 0
## 0.059 0 1 0 1 0 0 1 2 0 2
## 0.06 0 2 3 1 0 0 0 0 0 0
## 0.061 0 0 1 0 0 0 0 1 1 0
## 0.062 0 0 2 2 0 1 1 3 0 2
## 0.063 0 1 0 0 0 1 1 1 0 0
## 0.064 1 0 1 2 0 0 1 1 0 0
## 0.065 0 0 0 1 0 0 1 1 1 0
## 0.066 0 0 3 2 0 0 2 0 1 1
## 0.067 0 0 1 2 0 1 0 0 0 0
## 0.068 0 1 0 0 0 2 0 2 3 1
## 0.069 0 0 1 1 0 0 0 0 0 1
## 0.07 0 1 0 4 0 1 0 0 1 1
## 0.071 0 2 1 1 0 3 1 1 0 0
## 0.072 0 0 1 1 1 1 2 0 0 1
## 0.073 0 0 4 0 0 1 0 1 2 0
## 0.074 0 1 0 4 0 0 2 0 1 0
## 0.075 0 1 0 1 0 0 1 0 3 1
## 0.076 0 1 0 4 0 0 0 0 0 0
## 0.077 0 3 0 2 0 0 1 0 0 0
## 0.078 0 2 1 1 0 1 2 0 0 0
## 0.079 0 0 3 0 0 0 1 0 1 1
## 0.08 0 2 6 4 0 0 0 0 2 0
## 0.081 0 3 2 4 0 1 2 0 1 1
## 0.082 0 0 1 0 0 0 0 0 0 0
## 0.083 0 0 0 0 0 1 1 1 0 2
## 0.084 0 1 1 2 0 1 2 0 1 0
## 0.085 0 0 0 2 0 0 0 0 0 0
## 0.086 0 2 2 0 0 0 1 0 1 1
## 0.087 0 0 0 3 0 1 0 0 0 0
## 0.088 0 0 0 2 0 3 0 0 0 1
## 0.089 0 1 0 0 0 0 1 0 0 0
## 0.09 0 0 0 0 0 1 0 0 0 0
## 0.091 0 0 0 0 0 0 0 3 0 1
## 0.092 0 0 0 0 0 0 0 0 0 0
## 0.093 0 1 1 1 0 0 0 0 0 0
## 0.094 0 1 0 1 0 0 0 0 0 0
## 0.095 0 4 0 0 0 3 0 1 0 1
## 0.096 0 0 0 2 0 0 0 0 0 1
## 0.097 0 0 0 0 0 0 0 0 1 0
## 0.098 0 0 0 0 0 0 0 0 1 0
## 0.099 0 2 0 0 0 0 0 0 0 0
## 0.1 0 0 0 1 0 0 3 0 1 0
## 0.101 0 0 0 1 0 0 0 0 0 0
## 0.102 0 0 0 0 0 0 1 0 1 0
## 0.103 0 0 0 0 0 0 0 2 0 1
## 0.104 0 0 0 1 0 0 1 0 0 0
## 0.105 0 0 0 1 0 0 0 1 0 0
## 0.106 0 0 0 0 0 0 0 0 2 0
## 0.107 0 0 0 0 0 0 0 0 0 1
## 0.108 0 0 0 0 0 0 0 0 0 0
## 0.109 0 0 0 0 0 0 0 0 0 0
## 0.11 0 1 0 0 0 0 0 0 0 0
## 0.111 0 0 0 0 0 0 0 1 0 0
## 0.112 0 0 1 0 0 0 0 0 0 0
## 0.113 0 0 0 0 0 0 0 0 0 0
## 0.114 0 0 1 0 0 0 0 0 0 0
## 0.115 0 0 0 0 0 0 0 0 0 0
## 0.116 0 0 1 0 0 0 0 0 0 0
## 0.117 0 2 0 0 0 0 0 0 0 0
## 0.118 0 0 0 0 0 0 0 1 0 0
## 0.119 0 0 3 0 0 0 0 0 0 0
## 0.12 0 0 0 0 0 0 1 1 0 0
## 0.121 0 0 0 0 0 0 0 0 0 1
## 0.122 0 0 0 0 0 0 0 0 0 0
## 0.123 0 0 0 1 0 0 0 2 0 0
## 0.124 0 0 0 0 0 0 0 0 0 0
## 0.125 0 0 0 0 0 0 0 0 0 0
## 0.126 0 0 0 0 0 0 0 0 0 0
## 0.127 0 0 0 0 0 0 1 0 0 0
## 0.128 0 0 0 0 0 0 0 0 0 0
## 0.132 0 0 0 0 0 0 0 0 0 2
## 0.136 0 0 0 0 0 0 0 0 0 0
## 0.137 0 0 1 0 0 0 0 0 0 0
## 0.143 0 0 0 0 0 0 0 0 0 0
## 0.145 0 0 0 0 0 0 0 0 0 0
## 0.146 0 0 0 0 0 0 0 0 0 0
## 0.147 0 0 0 0 0 0 0 0 0 0
## 0.148 0 0 0 0 0 0 0 0 0 0
## 0.152 0 0 0 0 0 0 0 0 0 0
## 0.153 0 0 0 0 0 0 0 0 0 0
## 0.157 0 0 0 0 0 0 0 0 0 0
## 0.159 0 0 0 0 0 0 0 0 0 0
## 0.161 0 0 0 1 0 0 0 0 0 0
## 0.165 0 0 0 0 0 0 0 0 0 0
## 0.166 0 2 0 0 0 0 0 0 0 0
## 0.168 0 0 0 0 0 0 0 0 0 0
## 0.169 0 0 0 0 0 0 0 0 0 0
## 0.17 0 0 0 0 0 0 0 0 0 0
## 0.171 0 1 0 0 0 0 0 0 0 0
## 0.172 0 0 0 0 0 0 0 0 0 0
## 0.174 0 0 0 0 0 0 0 1 0 0
## 0.176 0 0 0 0 0 0 0 0 0 0
## 0.178 0 0 0 0 0 0 0 0 0 0
## 0.186 0 0 0 0 0 0 0 0 0 0
## 0.19 0 0 0 0 0 0 0 0 0 0
## 0.194 0 0 0 0 0 0 0 0 0 0
## 0.2 0 0 0 0 0 0 0 0 0 0
## 0.205 0 0 0 0 0 0 0 0 0 0
## 0.213 0 0 0 0 0 0 0 0 0 0
## 0.214 0 0 0 0 0 0 0 0 0 0
## 0.216 0 0 0 0 0 0 0 0 0 0
## 0.222 0 0 0 0 0 0 0 0 0 0
## 0.226 0 0 0 0 0 0 0 0 0 0
## 0.23 0 0 0 0 0 0 0 0 0 0
## 0.235 0 0 0 0 0 0 0 0 0 0
## 0.236 0 0 0 0 0 0 0 0 0 0
## 0.241 0 0 0 0 0 0 0 0 0 0
## 0.243 0 0 0 0 0 0 0 0 0 0
## 0.25 0 0 0 0 0 0 0 0 0 0
## 0.263 0 0 0 0 0 0 0 0 0 0
## 0.267 0 0 0 0 0 0 0 0 0 0
## 0.27 0 0 0 0 0 0 0 0 0 0
## 0.332 0 0 0 0 0 0 0 0 0 0
## 0.337 0 0 0 0 0 0 0 0 0 0
## 0.341 0 0 0 0 0 0 0 0 0 0
## 0.343 0 0 0 0 0 0 0 0 0 0
## 0.358 0 0 0 0 0 0 0 0 0 0
## 0.36 0 0 0 0 0 0 0 0 0 0
## 0.368 0 0 0 0 0 0 0 0 0 0
## 0.369 0 0 0 0 0 0 0 0 0 0
## 0.387 0 0 0 0 0 0 0 0 0 0
## 0.401 0 0 0 0 0 0 0 0 0 0
## 0.403 0 0 0 0 0 0 0 0 0 0
## 0.413 0 0 0 0 0 0 0 0 0 0
## 0.414 0 0 0 0 0 0 0 0 0 0
## 0.415 0 0 0 0 0 0 0 0 0 0
## 0.422 0 0 0 0 0 0 0 0 0 0
## 0.464 0 0 0 0 0 0 0 0 0 0
## 0.467 0 0 0 0 0 0 0 0 0 0
## 0.61 0 0 0 0 0 0 0 0 0 0
## 0.611 0 0 0 0 0 0 0 0 0 0
## Sum 1 42 49 59 1 27 36 32 32 30
## alcohol
## chlorides 11.6 11.7 11.8 11.9 11.95 12 12.1 12.2 12.3 12.4 12.5 12.6
## 0.012 0 2 0 0 0 0 0 0 0 0 0 0
## 0.034 0 0 0 0 0 0 0 0 0 0 0 0
## 0.038 0 0 0 0 0 0 0 0 0 0 0 0
## 0.039 0 0 0 0 0 0 0 0 0 2 0 0
## 0.041 0 0 0 0 0 0 0 0 0 0 3 0
## 0.042 0 1 0 0 0 0 0 0 0 0 0 0
## 0.043 0 0 0 0 0 0 0 0 0 0 0 0
## 0.044 0 0 0 0 0 0 0 0 0 0 1 0
## 0.045 0 0 0 0 0 0 0 0 0 0 0 0
## 0.046 0 0 0 0 0 0 1 1 0 0 0 0
## 0.047 0 0 1 0 0 0 0 0 0 0 0 0
## 0.048 0 0 0 0 0 0 1 0 0 1 0 0
## 0.049 0 1 0 0 0 0 0 0 0 0 0 0
## 0.05 0 0 0 0 1 1 0 0 2 0 0 0
## 0.051 0 0 0 0 0 0 1 0 0 0 0 0
## 0.052 0 0 0 1 0 0 1 0 0 0 1 0
## 0.053 0 0 0 1 0 0 0 0 0 0 0 0
## 0.054 0 0 0 1 0 0 0 1 0 0 1 0
## 0.055 1 0 0 0 0 0 0 0 1 0 0 0
## 0.056 0 0 1 0 0 0 0 0 0 1 0 0
## 0.057 0 0 1 0 0 1 0 0 0 0 0 0
## 0.058 0 1 0 0 0 0 0 1 0 0 0 0
## 0.059 0 0 0 0 0 0 0 0 2 0 0 0
## 0.06 0 0 3 0 0 0 0 0 0 0 0 0
## 0.061 1 0 1 0 0 1 0 0 0 0 0 0
## 0.062 1 0 0 0 0 0 0 0 1 0 0 0
## 0.063 0 2 0 0 0 1 0 1 0 1 0 0
## 0.064 0 2 2 0 0 0 2 0 0 0 0 0
## 0.065 1 0 1 0 0 0 0 1 0 0 1 0
## 0.066 0 0 2 1 0 1 1 0 0 0 0 1
## 0.067 0 0 1 1 0 1 0 0 1 0 0 1
## 0.068 1 2 0 1 0 0 0 1 0 1 1 1
## 0.069 0 0 0 0 0 0 0 0 1 0 0 1
## 0.07 0 0 0 0 0 0 0 0 0 0 1 0
## 0.071 1 1 2 0 0 2 0 0 0 0 1 0
## 0.072 0 0 2 0 0 1 0 1 1 1 1 0
## 0.073 0 0 0 0 0 0 1 0 0 1 0 1
## 0.074 0 0 0 0 0 5 0 0 1 2 0 0
## 0.075 0 0 2 3 0 0 0 0 0 0 1 0
## 0.076 0 0 0 1 0 0 0 0 0 0 0 0
## 0.077 2 0 0 0 0 0 1 0 0 0 0 0
## 0.078 0 1 0 0 0 0 0 0 0 0 2 1
## 0.079 0 0 0 1 0 2 0 1 0 0 0 0
## 0.08 0 1 0 0 0 0 0 0 0 0 2 0
## 0.081 0 0 0 0 0 1 0 0 0 0 0 0
## 0.082 0 0 0 1 0 0 0 1 0 0 2 0
## 0.083 0 0 1 0 0 0 0 0 0 0 0 0
## 0.084 0 0 0 1 0 0 0 0 0 0 0 0
## 0.085 0 0 1 2 0 0 1 0 0 0 0 0
## 0.086 3 0 0 0 0 0 0 0 0 0 0 0
## 0.087 0 0 0 0 0 0 0 0 0 0 0 0
## 0.088 0 1 0 0 0 0 0 0 0 0 0 0
## 0.089 1 0 1 0 0 0 0 0 0 0 0 0
## 0.09 0 0 0 0 0 0 1 1 0 0 0 0
## 0.091 0 0 0 1 0 0 0 0 0 0 0 0
## 0.092 0 0 0 0 0 1 0 0 1 0 0 0
## 0.093 1 0 0 0 0 1 0 0 0 2 0 0
## 0.094 0 0 0 0 0 0 0 1 0 0 0 0
## 0.095 0 2 0 0 0 0 0 0 0 0 0 0
## 0.096 0 0 1 0 0 0 0 0 0 0 0 0
## 0.097 0 1 0 0 0 0 0 0 0 0 0 0
## 0.098 0 0 0 0 0 0 0 0 1 0 0 0
## 0.099 0 0 0 0 0 0 0 0 0 0 0 0
## 0.1 0 1 0 1 0 0 0 0 0 0 0 0
## 0.101 0 0 0 0 0 0 2 0 0 0 0 0
## 0.102 0 0 0 0 0 0 0 0 0 0 0 0
## 0.103 0 0 0 1 0 0 0 0 0 0 0 0
## 0.104 1 0 1 0 0 0 0 0 0 0 0 0
## 0.105 0 0 0 0 0 0 0 0 0 0 0 0
## 0.106 0 0 0 0 0 0 0 0 0 0 0 0
## 0.107 0 0 3 0 0 0 0 0 0 0 0 0
## 0.108 0 0 0 0 0 0 0 0 0 0 0 0
## 0.109 0 0 1 0 0 0 0 0 0 0 0 0
## 0.11 0 0 0 0 0 1 0 0 0 0 0 0
## 0.111 0 1 0 0 0 0 0 0 0 0 0 0
## 0.112 0 0 0 0 0 0 0 0 0 0 0 0
## 0.113 0 0 0 0 0 0 0 0 0 0 0 0
## 0.114 0 0 0 0 0 0 0 0 0 0 0 0
## 0.115 0 0 0 0 0 0 0 0 0 0 0 0
## 0.116 0 1 0 0 0 0 0 0 0 0 0 0
## 0.117 0 0 0 0 0 0 0 0 0 0 0 0
## 0.118 0 2 0 0 0 0 0 0 0 0 0 0
## 0.119 0 0 0 0 0 0 0 0 0 0 0 0
## 0.12 0 0 0 0 0 0 0 0 0 0 0 0
## 0.121 0 0 0 0 0 0 0 0 0 0 0 0
## 0.122 0 0 0 0 0 0 0 0 0 0 2 0
## 0.123 0 0 0 2 0 0 0 0 0 0 0 0
## 0.124 0 0 1 0 0 0 0 0 0 0 0 0
## 0.125 0 0 0 0 0 0 0 0 0 0 0 0
## 0.126 0 0 0 0 0 0 0 0 0 0 0 0
## 0.127 0 0 0 0 0 0 0 0 0 0 0 0
## 0.128 0 0 0 0 0 0 0 1 0 0 0 0
## 0.132 0 0 0 0 0 0 0 0 0 0 0 0
## 0.136 0 0 0 0 0 0 0 0 0 0 0 0
## 0.137 0 0 0 0 0 0 0 0 0 0 0 0
## 0.143 0 0 0 0 0 0 0 0 0 0 0 0
## 0.145 0 0 0 0 0 0 0 0 0 0 0 0
## 0.146 0 0 0 0 0 0 0 0 0 0 0 0
## 0.147 0 0 0 0 0 0 0 0 0 0 0 0
## 0.148 0 0 0 0 0 0 0 0 0 0 0 0
## 0.152 0 0 0 0 0 0 0 0 0 0 0 0
## 0.153 1 0 0 0 0 0 0 0 0 0 0 0
## 0.157 0 0 0 0 0 0 0 0 0 0 0 0
## 0.159 0 0 0 0 0 0 0 0 0 0 0 0
## 0.161 0 0 0 0 0 0 0 0 0 0 0 0
## 0.165 0 0 0 0 0 0 0 0 0 0 0 0
## 0.166 0 0 0 0 0 0 0 0 0 0 0 0
## 0.168 0 0 0 0 0 0 0 0 0 0 0 0
## 0.169 0 0 0 0 0 0 0 0 0 0 0 0
## 0.17 0 0 0 0 0 0 0 0 0 0 0 0
## 0.171 0 0 0 0 0 0 0 0 0 0 0 0
## 0.172 0 0 0 0 0 0 0 0 0 0 0 0
## 0.174 0 0 0 0 0 0 0 0 0 0 0 0
## 0.176 0 0 0 0 0 0 0 0 0 0 0 0
## 0.178 0 0 0 0 0 0 0 0 0 0 0 0
## 0.186 0 0 0 0 0 0 0 0 0 0 0 0
## 0.19 0 0 0 0 0 0 0 0 0 0 0 0
## 0.194 0 0 0 0 0 1 0 0 0 0 0 0
## 0.2 0 0 0 0 0 0 0 0 0 0 0 0
## 0.205 0 0 0 0 0 0 0 0 0 0 0 0
## 0.213 0 0 0 0 0 0 0 0 0 0 0 0
## 0.214 0 0 0 0 0 0 0 0 0 0 0 0
## 0.216 0 0 0 0 0 0 0 0 0 0 1 0
## 0.222 0 0 0 0 0 0 0 0 0 0 0 0
## 0.226 0 0 0 0 0 0 0 0 0 0 0 0
## 0.23 0 0 0 0 0 0 0 0 0 1 0 0
## 0.235 0 0 0 0 0 0 0 0 0 0 0 0
## 0.236 0 0 0 0 0 0 0 0 0 0 0 0
## 0.241 0 0 0 0 0 0 0 0 0 0 0 0
## 0.243 0 0 0 0 0 0 0 0 0 0 0 0
## 0.25 0 0 0 0 0 0 0 0 0 0 0 0
## 0.263 0 0 0 0 0 0 0 0 0 0 0 0
## 0.267 0 0 0 0 0 0 0 0 0 0 0 0
## 0.27 0 0 0 0 0 0 0 0 0 0 0 0
## 0.332 0 0 0 0 0 0 0 0 0 0 0 0
## 0.337 0 0 0 0 0 0 0 0 0 0 0 0
## 0.341 0 0 0 0 0 0 0 0 0 0 0 0
## 0.343 0 0 0 0 0 0 0 0 0 0 0 0
## 0.358 0 0 0 0 0 0 0 0 0 0 0 0
## 0.36 0 0 0 0 0 0 0 0 0 0 0 0
## 0.368 0 0 0 0 0 0 0 0 0 0 0 0
## 0.369 0 0 0 0 0 0 0 0 0 0 0 0
## 0.387 0 0 0 0 0 0 0 0 0 0 0 0
## 0.401 0 0 0 0 0 0 0 0 0 0 0 0
## 0.403 0 0 0 0 0 0 0 0 0 0 0 0
## 0.413 0 0 0 0 0 0 0 0 0 0 0 0
## 0.414 0 0 0 0 0 0 0 0 0 0 0 0
## 0.415 0 0 0 0 0 0 0 0 0 0 0 0
## 0.422 0 0 0 0 0 0 0 0 0 0 0 0
## 0.464 0 0 0 0 0 0 0 0 0 0 0 0
## 0.467 0 0 0 0 0 0 0 0 0 0 0 0
## 0.61 0 0 0 0 0 0 0 0 0 0 0 0
## 0.611 0 0 0 0 0 0 0 0 0 0 0 0
## Sum 15 23 29 20 1 21 13 12 12 13 21 6
## alcohol
## chlorides 12.7 12.8 12.9 13 13.1 13.2 13.3 13.4 13.5 13.5666666666667
## 0.012 0 0 0 0 0 0 0 0 0 0
## 0.034 0 1 0 0 0 0 0 0 0 0
## 0.038 0 0 0 0 0 0 0 0 0 0
## 0.039 0 0 0 0 0 0 0 0 0 0
## 0.041 0 0 0 0 0 0 0 0 0 0
## 0.042 0 0 1 0 0 0 0 0 0 0
## 0.043 0 0 0 0 0 0 0 0 0 0
## 0.044 0 0 1 0 0 0 0 0 0 0
## 0.045 0 0 1 0 0 0 0 0 0 0
## 0.046 0 0 0 1 0 0 0 0 0 0
## 0.047 0 0 0 0 0 0 0 0 0 0
## 0.048 0 1 0 0 0 0 0 0 0 1
## 0.049 2 0 0 2 0 0 0 0 0 0
## 0.05 0 0 0 0 0 0 0 0 0 0
## 0.051 0 0 0 0 0 0 0 0 0 0
## 0.052 1 2 0 0 0 0 0 1 0 0
## 0.053 0 0 0 0 0 0 0 0 0 0
## 0.054 0 0 0 0 1 0 0 0 0 0
## 0.055 0 0 1 0 0 0 1 0 0 0
## 0.056 0 0 0 1 0 0 0 0 0 0
## 0.057 0 0 0 0 0 0 0 0 0 0
## 0.058 0 0 1 0 0 0 0 0 0 0
## 0.059 0 2 0 0 0 0 0 0 0 0
## 0.06 0 0 0 0 0 0 0 0 0 0
## 0.061 0 0 0 0 0 0 0 0 0 0
## 0.062 0 0 0 0 0 0 0 0 0 0
## 0.063 0 0 0 0 0 0 0 0 1 0
## 0.064 0 1 0 0 0 0 0 0 0 0
## 0.065 1 0 0 0 0 0 1 0 0 0
## 0.066 0 0 1 1 0 0 0 0 0 0
## 0.067 0 3 0 0 0 0 0 0 0 0
## 0.068 0 1 1 0 0 0 0 0 0 0
## 0.069 0 0 0 0 0 0 0 0 0 0
## 0.07 1 0 1 0 0 0 0 0 0 0
## 0.071 1 0 0 0 0 0 0 0 0 0
## 0.072 0 1 0 0 0 0 0 0 0 0
## 0.073 0 0 1 0 0 0 0 0 0 0
## 0.074 0 0 0 0 0 0 0 0 0 0
## 0.075 1 0 0 0 0 0 0 0 0 0
## 0.076 0 0 0 0 1 0 0 0 0 0
## 0.077 0 0 0 0 0 0 0 0 0 0
## 0.078 0 3 0 0 0 0 0 0 0 0
## 0.079 0 0 0 0 0 0 0 0 0 0
## 0.08 0 0 0 0 0 0 0 0 0 0
## 0.081 0 0 0 0 0 0 0 0 0 0
## 0.082 0 0 0 0 0 0 0 0 0 0
## 0.083 0 0 0 0 0 0 0 0 0 0
## 0.084 0 0 0 0 0 0 0 0 0 0
## 0.085 2 0 0 0 0 0 0 0 0 0
## 0.086 0 0 0 0 0 0 0 1 0 0
## 0.087 0 2 0 0 0 0 0 0 0 0
## 0.088 0 0 0 0 0 0 1 0 0 0
## 0.089 0 0 0 0 0 0 0 0 0 0
## 0.09 0 0 0 0 0 0 0 0 0 0
## 0.091 0 0 0 0 0 0 0 0 0 0
## 0.092 0 0 0 0 0 0 0 0 0 0
## 0.093 0 0 0 0 0 0 0 0 0 0
## 0.094 0 0 0 0 0 0 0 0 0 0
## 0.095 0 0 0 0 0 0 0 0 0 0
## 0.096 0 0 0 0 0 0 0 0 0 0
## 0.097 0 0 0 0 0 0 0 0 0 0
## 0.098 0 0 0 0 0 0 0 0 0 0
## 0.099 0 0 0 0 0 0 0 0 0 0
## 0.1 0 0 0 0 0 0 0 0 0 0
## 0.101 0 0 0 0 0 0 0 0 0 0
## 0.102 0 0 0 0 0 0 0 0 0 0
## 0.103 0 0 0 0 0 0 0 0 0 0
## 0.104 0 0 0 0 0 0 0 0 0 0
## 0.105 0 0 0 0 0 0 0 0 0 0
## 0.106 0 0 0 0 0 0 0 0 0 0
## 0.107 0 0 0 0 0 0 0 0 0 0
## 0.108 0 0 0 0 0 0 0 0 0 0
## 0.109 0 0 0 0 0 0 0 0 0 0
## 0.11 0 0 0 0 0 0 0 0 0 0
## 0.111 0 0 0 0 0 0 0 0 0 0
## 0.112 0 0 0 0 0 0 0 0 0 0
## 0.113 0 0 0 0 0 0 0 0 0 0
## 0.114 0 0 0 0 0 0 0 1 0 0
## 0.115 0 0 0 0 0 0 0 0 0 0
## 0.116 0 0 0 0 0 0 0 0 0 0
## 0.117 0 0 0 0 0 0 0 0 0 0
## 0.118 0 0 0 0 0 0 0 0 0 0
## 0.119 0 0 0 0 0 0 0 0 0 0
## 0.12 0 0 0 1 0 0 0 0 0 0
## 0.121 0 0 0 0 0 0 0 0 0 0
## 0.122 0 0 0 0 0 0 0 0 0 0
## 0.123 0 0 0 0 0 0 0 0 0 0
## 0.124 0 0 0 0 0 0 0 0 0 0
## 0.125 0 0 0 0 0 0 0 0 0 0
## 0.126 0 0 0 0 0 0 0 0 0 0
## 0.127 0 0 0 0 0 0 0 0 0 0
## 0.128 0 0 0 0 0 0 0 0 0 0
## 0.132 0 0 0 0 0 1 0 0 0 0
## 0.136 0 0 0 0 0 0 0 0 0 0
## 0.137 0 0 0 0 0 0 0 0 0 0
## 0.143 0 0 0 0 0 0 0 0 0 0
## 0.145 0 0 0 0 0 0 0 0 0 0
## 0.146 0 0 0 0 0 0 0 0 0 0
## 0.147 0 0 0 0 0 0 0 0 0 0
## 0.148 0 0 0 0 0 0 0 0 0 0
## 0.152 0 0 0 0 0 0 0 0 0 0
## 0.153 0 0 0 0 0 0 0 0 0 0
## 0.157 0 0 0 0 0 0 0 0 0 0
## 0.159 0 0 0 0 0 0 0 0 0 0
## 0.161 0 0 0 0 0 0 0 0 0 0
## 0.165 0 0 0 0 0 0 0 0 0 0
## 0.166 0 0 0 0 0 0 0 0 0 0
## 0.168 0 0 0 0 0 0 0 0 0 0
## 0.169 0 0 0 0 0 0 0 0 0 0
## 0.17 0 0 0 0 0 0 0 0 0 0
## 0.171 0 0 0 0 0 0 0 0 0 0
## 0.172 0 0 0 0 0 0 0 0 0 0
## 0.174 0 0 0 0 0 0 0 0 0 0
## 0.176 0 0 0 0 0 0 0 0 0 0
## 0.178 0 0 0 0 0 0 0 0 0 0
## 0.186 0 0 0 0 0 0 0 0 0 0
## 0.19 0 0 0 0 0 0 0 0 0 0
## 0.194 0 0 0 0 0 0 0 0 0 0
## 0.2 0 0 0 0 0 0 0 0 0 0
## 0.205 0 0 0 0 0 0 0 0 0 0
## 0.213 0 0 0 0 0 0 0 0 0 0
## 0.214 0 0 0 0 0 0 0 0 0 0
## 0.216 0 0 0 0 0 0 0 0 0 0
## 0.222 0 0 0 0 0 0 0 0 0 0
## 0.226 0 0 0 0 0 0 0 0 0 0
## 0.23 0 0 0 0 0 0 0 0 0 0
## 0.235 0 0 0 0 0 0 0 0 0 0
## 0.236 0 0 0 0 0 0 0 0 0 0
## 0.241 0 0 0 0 0 0 0 0 0 0
## 0.243 0 0 0 0 0 0 0 0 0 0
## 0.25 0 0 0 0 0 0 0 0 0 0
## 0.263 0 0 0 0 0 0 0 0 0 0
## 0.267 0 0 0 0 0 0 0 0 0 0
## 0.27 0 0 0 0 0 0 0 0 0 0
## 0.332 0 0 0 0 0 0 0 0 0 0
## 0.337 0 0 0 0 0 0 0 0 0 0
## 0.341 0 0 0 0 0 0 0 0 0 0
## 0.343 0 0 0 0 0 0 0 0 0 0
## 0.358 0 0 0 0 0 0 0 0 0 0
## 0.36 0 0 0 0 0 0 0 0 0 0
## 0.368 0 0 0 0 0 0 0 0 0 0
## 0.369 0 0 0 0 0 0 0 0 0 0
## 0.387 0 0 0 0 0 0 0 0 0 0
## 0.401 0 0 0 0 0 0 0 0 0 0
## 0.403 0 0 0 0 0 0 0 0 0 0
## 0.413 0 0 0 0 0 0 0 0 0 0
## 0.414 0 0 0 0 0 0 0 0 0 0
## 0.415 0 0 0 0 0 0 0 0 0 0
## 0.422 0 0 0 0 0 0 0 0 0 0
## 0.464 0 0 0 0 0 0 0 0 0 0
## 0.467 0 0 0 0 0 0 0 0 0 0
## 0.61 0 0 0 0 0 0 0 0 0 0
## 0.611 0 0 0 0 0 0 0 0 0 0
## Sum 9 17 9 6 2 1 3 3 1 1
## alcohol
## chlorides 13.6 14 14.9 Sum
## 0.012 0 0 0 2
## 0.034 0 0 0 1
## 0.038 0 0 0 2
## 0.039 0 0 0 4
## 0.041 0 0 0 4
## 0.042 0 0 0 3
## 0.043 0 0 0 1
## 0.044 1 1 0 5
## 0.045 0 0 0 4
## 0.046 1 0 0 4
## 0.047 0 0 0 4
## 0.048 1 2 0 8
## 0.049 0 0 0 8
## 0.05 0 2 0 12
## 0.051 0 0 0 1
## 0.052 0 0 0 10
## 0.053 0 0 0 5
## 0.054 0 0 0 13
## 0.055 0 0 0 8
## 0.056 0 0 0 9
## 0.057 0 0 0 10
## 0.058 0 0 0 14
## 0.059 0 0 0 17
## 0.06 0 1 0 16
## 0.061 0 0 0 11
## 0.062 0 0 0 24
## 0.063 0 0 0 22
## 0.064 0 0 0 20
## 0.065 0 1 0 23
## 0.066 0 0 0 32
## 0.067 0 0 0 27
## 0.068 0 0 0 30
## 0.069 0 0 0 21
## 0.07 0 0 0 35
## 0.071 0 0 0 47
## 0.072 0 0 0 24
## 0.073 0 0 0 35
## 0.074 0 0 0 55
## 0.075 1 0 0 45
## 0.076 0 0 0 51
## 0.077 0 0 0 47
## 0.078 0 0 0 51
## 0.079 0 0 0 43
## 0.08 0 0 0 66
## 0.081 0 0 0 40
## 0.082 0 0 0 46
## 0.083 0 0 0 35
## 0.084 0 0 0 49
## 0.085 0 0 0 25
## 0.086 0 0 0 31
## 0.087 0 0 0 25
## 0.088 0 0 0 32
## 0.089 0 0 0 25
## 0.09 0 0 0 21
## 0.091 0 0 0 19
## 0.092 0 0 0 22
## 0.093 0 0 0 21
## 0.094 0 0 0 19
## 0.095 0 0 0 23
## 0.096 0 0 1 18
## 0.097 0 0 0 18
## 0.098 0 0 0 12
## 0.099 0 0 0 8
## 0.1 0 0 0 13
## 0.101 0 0 0 5
## 0.102 0 0 0 10
## 0.103 0 0 0 7
## 0.104 0 0 0 16
## 0.105 0 0 0 6
## 0.106 0 0 0 8
## 0.107 0 0 0 9
## 0.108 0 0 0 1
## 0.109 0 0 0 3
## 0.11 0 0 0 8
## 0.111 0 0 0 7
## 0.112 0 0 0 6
## 0.113 0 0 0 1
## 0.114 0 0 0 11
## 0.115 0 0 0 5
## 0.116 0 0 0 2
## 0.117 0 0 0 4
## 0.118 0 0 0 8
## 0.119 0 0 0 3
## 0.12 0 0 0 3
## 0.121 0 0 0 2
## 0.122 0 0 0 7
## 0.123 0 0 0 6
## 0.124 0 0 0 3
## 0.125 0 0 0 1
## 0.126 0 0 0 1
## 0.127 0 0 0 1
## 0.128 0 0 0 1
## 0.132 0 0 0 4
## 0.136 0 0 0 1
## 0.137 0 0 0 1
## 0.143 0 0 0 1
## 0.145 0 0 0 1
## 0.146 0 0 0 1
## 0.147 0 0 0 1
## 0.148 0 0 0 1
## 0.152 0 0 0 2
## 0.153 0 0 0 1
## 0.157 0 0 0 3
## 0.159 0 0 0 1
## 0.161 0 0 0 1
## 0.165 0 0 0 1
## 0.166 0 0 0 3
## 0.168 0 0 0 1
## 0.169 0 0 0 1
## 0.17 0 0 0 1
## 0.171 0 0 0 2
## 0.172 0 0 0 1
## 0.174 0 0 0 1
## 0.176 0 0 0 1
## 0.178 0 0 0 2
## 0.186 0 0 0 1
## 0.19 0 0 0 1
## 0.194 0 0 0 1
## 0.2 0 0 0 1
## 0.205 0 0 0 2
## 0.213 0 0 0 1
## 0.214 0 0 0 3
## 0.216 0 0 0 1
## 0.222 0 0 0 1
## 0.226 0 0 0 2
## 0.23 0 0 0 1
## 0.235 0 0 0 1
## 0.236 0 0 0 1
## 0.241 0 0 0 1
## 0.243 0 0 0 1
## 0.25 0 0 0 1
## 0.263 0 0 0 1
## 0.267 0 0 0 1
## 0.27 0 0 0 1
## 0.332 0 0 0 1
## 0.337 0 0 0 1
## 0.341 0 0 0 1
## 0.343 0 0 0 1
## 0.358 0 0 0 1
## 0.36 0 0 0 1
## 0.368 0 0 0 1
## 0.369 0 0 0 1
## 0.387 0 0 0 1
## 0.401 0 0 0 1
## 0.403 0 0 0 1
## 0.413 0 0 0 1
## 0.414 0 0 0 2
## 0.415 0 0 0 3
## 0.422 0 0 0 1
## 0.464 0 0 0 1
## 0.467 0 0 0 1
## 0.61 0 0 0 1
## 0.611 0 0 0 1
## Sum 4 7 1 1599chisq.test(mytable)## Warning in chisq.test(mytable): Chi-squared approximation may be incorrect##
## Pearson's Chi-squared test
##
## data: mytable
## X-squared = 14083, df = 9728, p-value < 2.2e-16ggplot(data=redwine, aes(x=chlorides, y=alcohol))+ geom_point(alpha=0.5, size=1)+ geom_smooth(method='lm', se=FALSE)+ xlim(0.05,quantile(redwine$volatile.acidity, 0.5))+ ylim(9,quantile(redwine$alcohol, 0.95))+ scale_x_log10()## Scale for 'x' is already present. Adding another scale for 'x', which
## will replace the existing scale.## Warning: Removed 77 rows containing non-finite values (stat_smooth).## Warning: Removed 77 rows containing missing values (geom_point).## Warning: Removed 4 rows containing missing values (geom_smooth).
mytable<-xtabs(~residual.sugar+alcohol, data = redwine)
addmargins(mytable)## alcohol
## residual.sugar 8.4 8.5 8.7 8.8 9 9.05 9.1 9.2 9.23333333333333
## 0.9 0 0 0 0 0 0 0 0 0
## 1.2 0 0 0 0 0 0 0 0 0
## 1.3 0 0 0 0 0 0 0 1 0
## 1.4 0 0 0 0 0 0 1 3 0
## 1.5 0 0 0 0 0 0 1 0 0
## 1.6 0 1 1 0 2 0 1 5 0
## 1.65 0 0 0 0 0 0 0 0 0
## 1.7 0 0 0 0 1 0 2 3 0
## 1.75 0 0 0 0 0 0 0 0 0
## 1.8 1 0 0 0 1 0 3 6 0
## 1.9 0 0 0 0 11 1 0 4 0
## 2 0 0 0 0 1 0 5 8 0
## 2.05 0 0 0 0 0 0 0 0 0
## 2.1 1 0 0 0 0 0 0 9 0
## 2.15 0 0 0 0 0 0 0 0 0
## 2.2 0 0 0 0 4 0 3 9 0
## 2.25 0 0 0 0 0 0 0 0 0
## 2.3 0 0 0 0 2 0 0 1 0
## 2.35 0 0 0 0 0 0 0 0 0
## 2.4 0 0 0 0 0 0 0 2 0
## 2.5 0 0 0 0 3 0 0 3 0
## 2.55 0 0 0 0 0 0 0 0 0
## 2.6 0 0 1 0 1 0 2 1 0
## 2.65 0 0 0 0 0 0 0 0 0
## 2.7 0 0 0 0 0 0 1 1 0
## 2.8 0 0 0 0 0 0 0 1 0
## 2.85 0 0 0 0 0 0 0 1 0
## 2.9 0 0 0 0 0 0 1 1 0
## 2.95 0 0 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 1 0 0
## 3.1 0 0 0 0 0 0 0 0 0
## 3.2 0 0 0 0 0 0 0 0 0
## 3.3 0 0 0 0 0 0 0 1 0
## 3.4 0 0 0 0 0 0 0 1 0
## 3.45 0 0 0 0 0 0 0 0 0
## 3.5 0 0 0 0 1 0 0 0 0
## 3.6 0 0 0 0 0 0 0 0 0
## 3.65 0 0 0 0 0 0 0 0 0
## 3.7 0 0 0 0 0 0 1 0 0
## 3.75 0 0 0 0 0 0 0 0 0
## 3.8 0 0 0 0 0 0 0 2 0
## 3.9 0 0 0 0 0 0 1 2 0
## 4 0 0 0 0 0 0 0 0 0
## 4.1 0 0 0 0 0 0 0 1 1
## 4.2 0 0 0 0 0 0 0 0 0
## 4.25 0 0 0 0 0 0 0 0 0
## 4.3 0 0 0 0 0 0 0 0 0
## 4.4 0 0 0 0 1 0 0 0 0
## 4.5 0 0 0 0 0 0 0 0 0
## 4.6 0 0 0 0 0 0 0 0 0
## 4.65 0 0 0 0 0 0 0 0 0
## 4.7 0 0 0 0 0 0 0 0 0
## 4.8 0 0 0 0 0 0 0 0 0
## 5 0 0 0 0 0 0 0 0 0
## 5.1 0 0 0 0 0 0 0 0 0
## 5.15 0 0 0 0 0 0 0 0 0
## 5.2 0 0 0 0 0 0 0 0 0
## 5.4 0 0 0 0 0 0 0 0 0
## 5.5 0 0 0 0 0 0 0 0 0
## 5.6 0 0 0 0 0 0 0 0 0
## 5.7 0 0 0 0 0 0 0 0 0
## 5.8 0 0 0 0 0 0 0 0 0
## 5.9 0 0 0 0 0 0 0 0 0
## 6 0 0 0 0 0 0 0 0 0
## 6.1 0 0 0 0 0 0 0 0 0
## 6.2 0 0 0 0 0 0 0 0 0
## 6.3 0 0 0 0 0 0 0 0 0
## 6.4 0 0 0 0 0 0 0 0 0
## 6.55 0 0 0 0 0 0 0 0 0
## 6.6 0 0 0 0 0 0 0 0 0
## 6.7 0 0 0 0 0 0 0 0 0
## 7 0 0 0 0 0 0 0 0 0
## 7.2 0 0 0 0 0 0 0 0 0
## 7.3 0 0 0 0 0 0 0 0 0
## 7.5 0 0 0 0 0 0 0 0 0
## 7.8 0 0 0 0 0 0 0 1 0
## 7.9 0 0 0 0 0 0 0 0 0
## 8.1 0 0 0 0 0 0 0 2 0
## 8.3 0 0 0 0 0 0 0 0 0
## 8.6 0 0 0 0 0 0 0 0 0
## 8.8 0 0 0 0 0 0 0 0 0
## 8.9 0 0 0 0 0 0 0 0 0
## 9 0 0 0 0 0 0 0 0 0
## 10.7 0 0 0 0 0 0 0 0 0
## 11 0 0 0 0 0 0 0 2 0
## 12.9 0 0 0 0 0 0 0 0 0
## 13.4 0 0 0 0 0 0 0 0 0
## 13.8 0 0 0 2 0 0 0 0 0
## 13.9 0 0 0 0 0 0 0 0 0
## 15.4 0 0 0 0 2 0 0 0 0
## 15.5 0 0 0 0 0 0 0 1 0
## Sum 2 1 2 2 30 1 23 72 1
## alcohol
## residual.sugar 9.25 9.3 9.4 9.5 9.55 9.56666666666667 9.6 9.7 9.8
## 0.9 0 0 0 0 0 0 0 0 0
## 1.2 0 0 0 0 0 0 0 0 2
## 1.3 0 1 0 0 0 0 0 0 1
## 1.4 0 1 0 4 0 0 4 2 0
## 1.5 0 2 2 3 0 0 2 0 5
## 1.6 0 3 6 6 2 0 1 1 3
## 1.65 0 0 0 0 0 0 0 0 0
## 1.7 0 6 5 8 0 0 0 3 3
## 1.75 0 0 0 0 0 0 0 0 0
## 1.8 0 6 7 20 0 0 5 0 8
## 1.9 0 5 7 13 0 0 6 8 6
## 2 0 5 16 13 0 0 7 3 10
## 2.05 0 0 0 0 0 0 0 0 0
## 2.1 0 2 4 14 0 0 4 5 6
## 2.15 0 0 0 0 0 0 0 0 0
## 2.2 0 4 6 3 0 0 10 5 11
## 2.25 0 0 0 0 0 0 0 0 1
## 2.3 0 5 11 12 0 0 1 10 4
## 2.35 0 0 1 0 0 0 0 0 0
## 2.4 0 2 6 9 0 0 1 2 4
## 2.5 0 6 3 4 0 0 6 4 4
## 2.55 0 0 0 0 0 0 0 0 0
## 2.6 0 2 4 3 0 0 1 6 6
## 2.65 0 0 0 0 0 0 0 0 0
## 2.7 0 0 3 7 0 0 1 0 0
## 2.8 0 1 2 4 0 0 1 1 0
## 2.85 0 0 0 0 0 0 0 0 0
## 2.9 0 1 3 3 0 0 1 1 1
## 2.95 0 0 0 0 0 0 0 0 0
## 3 0 0 4 3 0 0 0 0 0
## 3.1 0 0 0 0 0 0 0 1 0
## 3.2 0 1 2 1 0 0 1 1 0
## 3.3 0 0 0 1 0 0 2 0 1
## 3.4 0 0 3 0 0 0 1 1 2
## 3.45 0 0 0 0 0 0 0 0 0
## 3.5 0 0 0 0 0 0 0 0 0
## 3.6 0 1 0 0 0 0 0 0 0
## 3.65 0 0 0 0 0 0 0 0 0
## 3.7 0 0 0 0 0 0 0 0 0
## 3.75 0 0 0 0 0 0 0 0 0
## 3.8 0 1 0 2 0 0 0 0 0
## 3.9 0 0 0 1 0 0 0 0 0
## 4 0 0 1 0 0 0 0 0 0
## 4.1 1 0 0 0 0 0 1 0 0
## 4.2 0 0 0 0 0 0 0 0 0
## 4.25 0 0 0 0 0 0 0 0 0
## 4.3 0 0 1 2 0 0 0 0 0
## 4.4 0 0 0 0 0 0 0 0 0
## 4.5 0 0 0 0 0 0 1 0 0
## 4.6 0 0 0 1 0 0 0 0 0
## 4.65 0 0 0 0 0 0 0 0 0
## 4.7 0 0 0 0 0 0 0 0 0
## 4.8 0 0 0 0 0 0 0 0 0
## 5 0 0 0 0 0 0 0 0 0
## 5.1 0 0 1 0 0 0 0 0 0
## 5.15 0 0 0 0 0 0 0 0 0
## 5.2 0 0 0 0 0 1 1 0 0
## 5.4 0 0 0 1 0 0 0 0 0
## 5.5 0 0 0 0 0 0 1 0 0
## 5.6 0 0 0 0 0 0 0 0 0
## 5.7 0 0 0 0 0 0 0 0 0
## 5.8 0 0 1 0 0 0 0 0 0
## 5.9 0 0 0 0 0 0 0 0 0
## 6 0 0 0 0 0 0 0 0 0
## 6.1 0 1 0 0 0 0 0 0 0
## 6.2 0 0 0 0 0 0 0 0 0
## 6.3 0 0 0 0 0 0 0 0 0
## 6.4 0 0 0 0 0 0 0 0 0
## 6.55 0 0 0 0 0 0 0 0 0
## 6.6 0 2 0 0 0 0 0 0 0
## 6.7 0 0 0 1 0 0 0 0 0
## 7 0 0 1 0 0 0 0 0 0
## 7.2 0 0 1 0 0 0 0 0 0
## 7.3 0 0 1 0 0 0 0 0 0
## 7.5 0 0 0 0 0 0 0 0 0
## 7.8 0 0 0 0 0 0 0 0 0
## 7.9 0 1 0 0 0 0 0 0 0
## 8.1 0 0 0 0 0 0 0 0 0
## 8.3 0 0 0 0 0 0 0 0 0
## 8.6 0 0 0 0 0 0 0 0 0
## 8.8 0 0 0 0 0 0 0 0 0
## 8.9 0 0 0 0 0 0 0 0 0
## 9 0 0 0 0 0 0 0 0 0
## 10.7 0 0 1 0 0 0 0 0 0
## 11 0 0 0 0 0 0 0 0 0
## 12.9 0 0 0 0 0 0 0 0 0
## 13.4 0 0 0 0 0 0 0 0 0
## 13.8 0 0 0 0 0 0 0 0 0
## 13.9 0 0 0 0 0 0 0 0 0
## 15.4 0 0 0 0 0 0 0 0 0
## 15.5 0 0 0 0 0 0 0 0 0
## Sum 1 59 103 139 2 1 59 54 78
## alcohol
## residual.sugar 9.9 9.95 10 10.0333333333333 10.1 10.2 10.3 10.4 10.5
## 0.9 0 0 0 0 0 0 0 0 0
## 1.2 0 0 1 0 0 0 0 0 0
## 1.3 0 0 0 0 0 0 0 0 0
## 1.4 0 0 3 2 1 1 1 3 2
## 1.5 3 0 0 0 2 0 0 0 0
## 1.6 3 0 3 0 0 0 1 1 1
## 1.65 0 0 0 0 0 0 0 0 0
## 1.7 0 0 9 0 0 0 1 1 5
## 1.75 0 0 0 0 0 0 0 0 0
## 1.8 7 1 3 0 6 2 1 4 8
## 1.9 4 0 5 0 0 1 4 6 8
## 2 9 0 7 0 9 9 3 5 2
## 2.05 0 0 0 0 0 0 0 0 0
## 2.1 6 0 5 0 1 4 5 3 2
## 2.15 0 0 0 0 0 0 0 0 0
## 2.2 3 0 1 0 5 10 1 2 5
## 2.25 0 0 0 0 0 0 0 0 0
## 2.3 3 0 3 0 2 3 3 2 2
## 2.35 0 0 0 0 0 0 0 0 0
## 2.4 0 0 2 0 3 2 2 3 0
## 2.5 0 0 3 0 4 0 1 1 3
## 2.55 0 0 0 0 0 0 0 0 0
## 2.6 2 0 4 0 1 3 0 3 8
## 2.65 0 0 0 0 0 0 0 0 0
## 2.7 2 0 5 0 2 2 3 1 1
## 2.8 1 0 4 0 1 2 3 1 1
## 2.85 0 0 0 0 0 0 0 0 0
## 2.9 0 0 2 0 1 1 0 2 0
## 2.95 0 0 0 0 0 0 0 0 0
## 3 0 0 1 0 0 0 2 1 2
## 3.1 0 0 0 0 0 1 0 1 1
## 3.2 2 0 1 0 0 0 0 0 1
## 3.3 0 0 1 0 0 0 0 0 2
## 3.4 0 0 0 0 1 0 0 0 1
## 3.45 0 0 0 0 0 0 0 0 0
## 3.5 1 0 0 0 0 0 0 0 0
## 3.6 0 0 0 0 1 0 0 0 0
## 3.65 0 0 0 0 0 0 0 0 0
## 3.7 0 0 0 0 0 0 0 0 0
## 3.75 0 0 0 0 0 0 0 0 0
## 3.8 0 0 0 0 0 0 0 0 0
## 3.9 0 0 0 0 0 0 0 0 0
## 4 0 0 2 0 4 0 0 0 0
## 4.1 0 0 0 0 0 0 0 0 0
## 4.2 0 0 0 0 0 0 0 0 0
## 4.25 0 0 0 0 0 0 0 0 0
## 4.3 0 0 0 0 0 0 0 0 0
## 4.4 0 0 0 0 0 0 0 0 0
## 4.5 0 0 0 0 0 2 0 0 0
## 4.6 0 0 0 0 0 0 0 0 0
## 4.65 0 0 0 0 0 0 0 0 0
## 4.7 0 0 0 0 0 0 0 0 0
## 4.8 0 0 0 0 0 0 0 0 0
## 5 0 0 0 0 0 0 0 0 0
## 5.1 0 0 0 0 0 0 0 1 0
## 5.15 0 0 0 0 0 0 0 0 0
## 5.2 0 0 0 0 0 0 0 0 0
## 5.4 0 0 0 0 0 0 0 0 0
## 5.5 0 0 0 0 0 0 0 0 4
## 5.6 0 0 0 0 0 2 0 0 3
## 5.7 0 0 0 0 0 1 0 0 0
## 5.8 0 0 2 0 0 0 0 0 0
## 5.9 0 0 0 0 0 0 0 0 2
## 6 1 0 0 0 1 0 0 0 0
## 6.1 0 0 0 0 0 0 1 0 2
## 6.2 0 0 0 0 0 0 0 0 0
## 6.3 0 0 0 0 0 0 0 0 0
## 6.4 0 0 0 0 0 0 0 0 0
## 6.55 0 0 0 0 0 0 0 0 0
## 6.6 0 0 0 0 0 0 0 0 0
## 6.7 0 0 0 0 0 0 0 0 0
## 7 0 0 0 0 0 0 0 0 0
## 7.2 0 0 0 0 0 0 0 0 0
## 7.3 0 0 0 0 0 0 0 0 0
## 7.5 0 0 0 0 0 0 0 0 0
## 7.8 0 0 0 0 0 0 0 0 0
## 7.9 2 0 0 0 0 0 0 0 0
## 8.1 0 0 0 0 0 0 0 0 0
## 8.3 0 0 0 0 0 0 0 0 0
## 8.6 0 0 0 0 0 0 0 0 0
## 8.8 0 0 0 0 2 0 0 0 0
## 8.9 0 0 0 0 0 0 0 0 0
## 9 0 0 0 0 0 0 0 0 0
## 10.7 0 0 0 0 0 0 0 0 0
## 11 0 0 0 0 0 0 0 0 0
## 12.9 0 0 0 0 0 0 0 0 0
## 13.4 0 0 0 0 0 0 1 0 0
## 13.8 0 0 0 0 0 0 0 0 0
## 13.9 0 0 0 0 0 0 0 0 1
## 15.4 0 0 0 0 0 0 0 0 0
## 15.5 0 0 0 0 0 0 0 0 0
## Sum 49 1 67 2 47 46 33 41 67
## alcohol
## residual.sugar 10.55 10.6 10.7 10.75 10.8 10.9 11 11.0666666666667 11.1
## 0.9 0 0 0 0 0 0 0 0 0
## 1.2 0 0 0 0 0 0 0 0 0
## 1.3 0 0 0 0 0 1 0 0 0
## 1.4 0 0 0 0 0 0 0 0 0
## 1.5 0 2 1 0 0 4 2 0 1
## 1.6 0 0 1 0 2 1 0 0 2
## 1.65 0 0 0 0 0 0 0 0 0
## 1.7 1 6 2 0 2 2 0 0 0
## 1.75 0 0 0 0 0 0 0 0 0
## 1.8 1 1 0 0 3 2 4 0 1
## 1.9 0 4 1 1 0 5 3 0 2
## 2 0 0 1 0 1 6 1 0 2
## 2.05 0 0 0 0 0 0 0 0 0
## 2.1 0 2 3 0 3 6 7 0 3
## 2.15 0 0 0 0 0 0 0 0 0
## 2.2 0 0 0 0 2 7 3 1 6
## 2.25 0 0 0 0 0 0 0 0 0
## 2.3 0 2 2 0 3 4 5 0 1
## 2.35 0 0 0 0 0 0 0 0 0
## 2.4 0 2 1 0 5 1 7 0 0
## 2.5 0 3 1 0 4 1 6 0 2
## 2.55 0 0 0 0 0 0 0 0 0
## 2.6 0 1 4 0 6 1 9 0 1
## 2.65 0 0 0 0 0 0 0 0 0
## 2.7 0 1 1 0 0 0 1 0 0
## 2.8 0 2 2 0 5 2 0 0 1
## 2.85 0 0 0 0 0 0 0 0 0
## 2.9 0 0 0 0 0 0 0 0 0
## 2.95 0 0 0 0 0 0 0 0 0
## 3 0 2 1 0 1 0 2 0 0
## 3.1 0 0 0 0 0 0 0 0 0
## 3.2 0 0 0 0 0 0 0 0 0
## 3.3 0 0 0 0 0 0 1 0 0
## 3.4 0 0 1 0 0 0 1 0 0
## 3.45 0 0 0 0 0 0 0 0 0
## 3.5 0 0 0 0 0 0 0 0 0
## 3.6 0 0 2 0 0 0 1 0 0
## 3.65 0 0 0 0 0 0 0 0 0
## 3.7 0 0 0 0 0 0 0 0 0
## 3.75 0 0 0 0 0 0 0 0 0
## 3.8 0 0 0 0 1 0 0 0 0
## 3.9 0 0 0 0 0 0 1 0 1
## 4 0 0 2 0 0 0 0 0 0
## 4.1 0 0 0 0 0 0 0 0 0
## 4.2 0 0 0 0 0 0 0 0 3
## 4.25 0 0 1 0 0 0 0 0 0
## 4.3 0 0 0 0 0 0 0 0 0
## 4.4 0 0 0 0 0 0 1 0 0
## 4.5 0 0 0 0 0 0 0 0 0
## 4.6 0 0 0 0 0 0 0 0 0
## 4.65 0 0 0 0 0 2 0 0 0
## 4.7 0 0 0 0 0 0 0 0 0
## 4.8 0 0 0 0 0 0 1 0 1
## 5 0 0 0 0 0 0 0 0 0
## 5.1 0 0 0 0 0 2 0 0 0
## 5.15 0 0 0 0 0 0 0 0 0
## 5.2 0 0 0 0 0 0 0 0 0
## 5.4 0 0 0 0 0 0 0 0 0
## 5.5 0 0 0 0 2 0 0 0 0
## 5.6 0 0 0 0 0 0 0 0 0
## 5.7 0 0 0 0 0 0 0 0 0
## 5.8 0 0 0 0 0 0 0 0 0
## 5.9 0 0 0 0 0 0 0 0 0
## 6 0 0 0 0 2 0 0 0 0
## 6.1 0 0 0 0 0 0 0 0 0
## 6.2 0 0 0 0 0 0 0 0 0
## 6.3 0 0 0 0 0 0 1 0 0
## 6.4 0 0 0 0 0 0 2 0 0
## 6.55 0 0 0 0 0 0 0 0 0
## 6.6 0 0 0 0 0 0 0 0 0
## 6.7 0 0 0 0 0 0 0 0 0
## 7 0 0 0 0 0 0 0 0 0
## 7.2 0 0 0 0 0 0 0 0 0
## 7.3 0 0 0 0 0 0 0 0 0
## 7.5 0 0 0 0 0 0 0 0 0
## 7.8 0 0 0 0 0 0 0 0 0
## 7.9 0 0 0 0 0 0 0 0 0
## 8.1 0 0 0 0 0 0 0 0 0
## 8.3 0 0 0 0 0 0 0 0 0
## 8.6 0 0 0 0 0 0 0 0 0
## 8.8 0 0 0 0 0 0 0 0 0
## 8.9 0 0 0 0 0 1 0 0 0
## 9 0 0 0 0 0 1 0 0 0
## 10.7 0 0 0 0 0 0 0 0 0
## 11 0 0 0 0 0 0 0 0 0
## 12.9 0 0 0 0 0 0 0 0 0
## 13.4 0 0 0 0 0 0 0 0 0
## 13.8 0 0 0 0 0 0 0 0 0
## 13.9 0 0 0 0 0 0 0 0 0
## 15.4 0 0 0 0 0 0 0 0 0
## 15.5 0 0 0 0 0 0 0 0 0
## Sum 2 28 27 1 42 49 59 1 27
## alcohol
## residual.sugar 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9 11.95 12 12.1
## 0.9 0 0 0 0 0 0 0 0 0 0 0
## 1.2 0 0 0 2 0 0 0 0 0 0 0
## 1.3 0 0 0 0 0 0 0 0 0 0 0
## 1.4 0 0 2 0 0 0 1 1 0 0 0
## 1.5 0 0 0 0 0 0 0 0 0 0 0
## 1.6 2 0 1 1 0 2 0 1 1 0 1
## 1.65 0 0 1 0 0 0 0 0 0 0 0
## 1.7 1 3 2 2 1 0 1 2 0 0 0
## 1.75 0 0 0 0 0 1 1 0 0 0 0
## 1.8 3 1 2 2 1 1 3 4 0 0 1
## 1.9 3 0 1 2 0 0 2 0 0 1 0
## 2 6 5 4 3 2 3 1 3 0 1 0
## 2.05 0 0 0 0 0 2 0 0 0 0 0
## 2.1 4 2 7 1 0 0 3 0 0 2 2
## 2.15 0 1 0 0 0 0 0 0 0 0 0
## 2.2 2 2 2 4 1 3 1 2 0 2 0
## 2.25 0 0 0 0 0 0 0 0 0 0 0
## 2.3 3 3 3 3 0 0 4 0 0 0 0
## 2.35 0 0 0 0 0 0 0 0 0 0 0
## 2.4 0 0 3 0 3 3 4 4 0 3 0
## 2.5 3 4 1 0 1 2 0 0 0 1 1
## 2.55 0 0 0 0 0 0 1 0 0 0 0
## 2.6 0 2 0 1 0 0 1 1 0 0 1
## 2.65 0 0 0 0 0 0 0 0 0 0 1
## 2.7 0 3 0 0 1 0 1 0 0 0 0
## 2.8 3 1 3 0 0 2 1 0 0 2 0
## 2.85 0 0 0 0 0 0 0 0 0 0 0
## 2.9 0 0 0 1 0 0 0 0 0 0 1
## 2.95 0 0 0 0 0 1 0 0 0 0 0
## 3 0 0 0 1 2 0 0 0 0 1 0
## 3.1 1 0 0 0 1 0 0 0 0 1 0
## 3.2 1 0 0 2 0 0 0 0 0 0 0
## 3.3 0 0 0 0 0 0 0 0 0 1 0
## 3.4 0 1 0 0 0 0 1 0 0 0 0
## 3.45 0 0 0 1 0 0 0 0 0 0 0
## 3.5 0 0 0 0 0 0 0 0 0 0 0
## 3.6 0 1 0 0 0 0 0 0 0 1 0
## 3.65 0 0 0 1 0 0 0 0 0 0 0
## 3.7 1 2 0 0 0 0 0 0 0 0 0
## 3.75 0 0 0 0 0 0 0 0 0 0 0
## 3.8 0 0 0 0 0 0 0 0 0 0 1
## 3.9 0 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 0 0 0 2
## 4.1 0 0 0 0 0 0 0 0 0 1 0
## 4.2 0 0 0 1 0 0 0 0 0 0 0
## 4.25 0 0 0 0 0 0 0 0 0 0 0
## 4.3 0 0 0 0 0 0 1 1 0 0 0
## 4.4 0 0 0 0 1 0 1 0 0 0 0
## 4.5 0 0 0 1 0 0 0 0 0 0 0
## 4.6 0 0 0 0 0 2 0 0 0 0 0
## 4.65 0 0 0 0 0 0 0 0 0 0 0
## 4.7 0 0 0 0 1 0 0 0 0 0 0
## 4.8 0 0 0 0 0 0 0 0 0 0 0
## 5 0 0 0 0 0 0 0 0 0 0 0
## 5.1 0 0 0 0 0 0 0 1 0 0 0
## 5.15 1 0 0 0 0 0 0 0 0 0 0
## 5.2 0 0 0 0 0 0 0 0 0 0 0
## 5.4 0 0 0 0 0 0 0 0 0 0 0
## 5.5 1 0 0 0 0 0 0 0 0 0 0
## 5.6 1 0 0 0 0 0 0 0 0 0 0
## 5.7 0 0 0 0 0 0 0 0 0 0 0
## 5.8 0 0 0 0 0 0 0 0 0 1 0
## 5.9 0 0 0 0 0 0 0 0 0 0 1
## 6 0 0 0 0 0 0 0 0 0 0 0
## 6.1 0 0 0 0 0 0 0 0 0 0 0
## 6.2 0 0 0 0 0 0 1 0 0 0 0
## 6.3 0 0 0 0 0 0 0 0 0 1 0
## 6.4 0 0 0 0 0 0 0 0 0 0 0
## 6.55 0 0 0 0 0 0 0 0 0 2 0
## 6.6 0 0 0 0 0 0 0 0 0 0 0
## 6.7 0 0 0 0 0 1 0 0 0 0 0
## 7 0 0 0 0 0 0 0 0 0 0 0
## 7.2 0 0 0 0 0 0 0 0 0 0 0
## 7.3 0 0 0 0 0 0 0 0 0 0 0
## 7.5 0 0 0 0 0 0 0 0 0 0 0
## 7.8 0 0 0 0 0 0 0 0 0 0 0
## 7.9 0 0 0 0 0 0 0 0 0 0 0
## 8.1 0 0 0 0 0 0 0 0 0 0 0
## 8.3 0 0 0 0 0 0 0 0 0 0 1
## 8.6 0 1 0 0 0 0 0 0 0 0 0
## 8.8 0 0 0 0 0 0 0 0 0 0 0
## 8.9 0 0 0 0 0 0 0 0 0 0 0
## 9 0 0 0 0 0 0 0 0 0 0 0
## 10.7 0 0 0 0 0 0 0 0 0 0 0
## 11 0 0 0 0 0 0 0 0 0 0 0
## 12.9 0 0 0 1 0 0 0 0 0 0 0
## 13.4 0 0 0 0 0 0 0 0 0 0 0
## 13.8 0 0 0 0 0 0 0 0 0 0 0
## 13.9 0 0 0 0 0 0 0 0 0 0 0
## 15.4 0 0 0 0 0 0 0 0 0 0 0
## 15.5 0 0 0 0 0 0 0 0 0 0 0
## Sum 36 32 32 30 15 23 29 20 1 21 13
## alcohol
## residual.sugar 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 13 13.1 13.2 13.3
## 0.9 0 0 0 0 0 2 0 0 0 0 0 0
## 1.2 0 0 0 2 0 0 0 0 1 0 0 0
## 1.3 0 0 0 0 0 0 1 0 0 0 0 0
## 1.4 1 1 0 0 0 0 0 1 0 0 0 0
## 1.5 0 0 0 0 0 0 0 0 0 0 0 0
## 1.6 1 0 0 0 0 0 0 0 0 0 0 0
## 1.65 0 0 0 0 0 0 0 1 0 0 0 0
## 1.7 0 1 0 1 0 0 0 1 0 0 0 0
## 1.75 0 0 0 0 0 0 0 0 0 0 0 0
## 1.8 0 1 1 1 0 0 2 0 0 0 0 0
## 1.9 0 1 0 1 1 0 0 0 0 0 0 0
## 2 1 1 1 1 0 0 0 0 0 0 0 0
## 2.05 0 0 0 0 0 0 0 0 0 0 0 0
## 2.1 0 1 3 1 0 0 2 2 0 1 0 1
## 2.15 0 0 0 1 0 0 0 0 0 0 0 0
## 2.2 0 0 4 0 1 0 4 0 0 0 0 0
## 2.25 0 0 0 0 0 0 0 0 0 0 0 0
## 2.3 1 3 0 2 0 2 1 1 2 0 0 0
## 2.35 0 0 0 0 0 0 0 0 0 0 0 0
## 2.4 1 0 1 4 1 1 3 1 0 0 0 0
## 2.5 0 0 3 2 0 0 1 1 0 1 0 1
## 2.55 0 0 0 0 0 0 0 0 0 0 0 0
## 2.6 0 0 0 0 0 0 0 0 1 0 0 0
## 2.65 0 0 0 0 0 0 0 0 0 0 0 0
## 2.7 1 1 0 0 0 0 0 0 0 0 0 0
## 2.8 0 0 0 0 0 0 1 1 0 0 0 0
## 2.85 0 0 0 0 0 0 0 0 0 0 0 0
## 2.9 1 0 0 3 0 0 0 0 0 0 0 0
## 2.95 0 0 0 0 0 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 1 0 0 0 0 0
## 3.1 0 0 0 0 0 0 0 0 0 0 0 0
## 3.2 0 0 0 0 0 2 0 0 0 0 0 0
## 3.3 1 0 0 0 0 0 0 0 0 0 0 0
## 3.4 1 0 0 0 0 0 0 0 0 0 0 0
## 3.45 0 0 0 0 0 0 0 0 0 0 0 0
## 3.5 0 0 0 0 0 0 0 0 0 0 0 0
## 3.6 0 0 0 0 0 0 1 0 0 0 0 0
## 3.65 0 0 0 0 0 0 0 0 0 0 0 0
## 3.7 0 0 0 0 0 0 0 0 0 0 0 0
## 3.75 0 0 0 0 1 0 0 0 0 0 0 0
## 3.8 0 0 0 0 0 0 0 0 0 0 1 0
## 3.9 0 0 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 0 0 0 0 0
## 4.1 0 0 0 0 0 0 0 0 0 0 0 0
## 4.2 0 0 0 0 0 0 0 0 1 0 0 0
## 4.25 0 0 0 0 0 0 0 0 0 0 0 0
## 4.3 0 0 0 0 0 2 0 0 0 0 0 0
## 4.4 0 0 0 0 0 0 0 0 0 0 0 0
## 4.5 0 0 0 0 0 0 0 0 0 0 0 0
## 4.6 2 0 0 1 0 0 0 0 0 0 0 0
## 4.65 0 0 0 0 0 0 0 0 0 0 0 0
## 4.7 0 0 0 0 0 0 0 0 0 0 0 0
## 4.8 0 0 0 0 0 0 0 0 1 0 0 0
## 5 0 0 0 1 0 0 0 0 0 0 0 0
## 5.1 0 0 0 0 0 0 0 0 0 0 0 0
## 5.15 0 0 0 0 0 0 0 0 0 0 0 0
## 5.2 0 0 0 0 0 0 0 0 0 0 0 0
## 5.4 0 0 0 0 0 0 0 0 0 0 0 0
## 5.5 0 0 0 0 0 0 0 0 0 0 0 0
## 5.6 0 0 0 0 0 0 0 0 0 0 0 0
## 5.7 0 0 0 0 0 0 0 0 0 0 0 0
## 5.8 0 0 0 0 0 0 0 0 0 0 0 0
## 5.9 0 0 0 0 0 0 0 0 0 0 0 0
## 6 0 0 0 0 0 0 0 0 0 0 0 0
## 6.1 0 0 0 0 0 0 0 0 0 0 0 0
## 6.2 0 0 0 0 1 0 0 0 0 0 0 1
## 6.3 0 0 0 0 0 0 0 0 0 0 0 0
## 6.4 0 0 0 0 1 0 0 0 0 0 0 0
## 6.55 0 0 0 0 0 0 0 0 0 0 0 0
## 6.6 0 0 0 0 0 0 0 0 0 0 0 0
## 6.7 0 0 0 0 0 0 0 0 0 0 0 0
## 7 0 0 0 0 0 0 0 0 0 0 0 0
## 7.2 0 0 0 0 0 0 0 0 0 0 0 0
## 7.3 0 0 0 0 0 0 0 0 0 0 0 0
## 7.5 0 0 0 0 0 0 0 0 0 0 0 0
## 7.8 1 0 0 0 0 0 0 0 0 0 0 0
## 7.9 0 0 0 0 0 0 0 0 0 0 0 0
## 8.1 0 0 0 0 0 0 0 0 0 0 0 0
## 8.3 0 2 0 0 0 0 0 0 0 0 0 0
## 8.6 0 0 0 0 0 0 0 0 0 0 0 0
## 8.8 0 0 0 0 0 0 0 0 0 0 0 0
## 8.9 0 0 0 0 0 0 0 0 0 0 0 0
## 9 0 0 0 0 0 0 0 0 0 0 0 0
## 10.7 0 0 0 0 0 0 0 0 0 0 0 0
## 11 0 0 0 0 0 0 0 0 0 0 0 0
## 12.9 0 0 0 0 0 0 0 0 0 0 0 0
## 13.4 0 0 0 0 0 0 0 0 0 0 0 0
## 13.8 0 0 0 0 0 0 0 0 0 0 0 0
## 13.9 0 0 0 0 0 0 0 0 0 0 0 0
## 15.4 0 0 0 0 0 0 0 0 0 0 0 0
## 15.5 0 0 0 0 0 0 0 0 0 0 0 0
## Sum 12 12 13 21 6 9 17 9 6 2 1 3
## alcohol
## residual.sugar 13.4 13.5 13.5666666666667 13.6 14 14.9 Sum
## 0.9 0 0 0 0 0 0 2
## 1.2 0 0 0 0 0 0 8
## 1.3 0 0 0 0 0 0 5
## 1.4 0 0 0 0 0 0 35
## 1.5 0 0 0 0 0 0 30
## 1.6 0 0 0 0 1 0 58
## 1.65 0 0 0 0 0 0 2
## 1.7 0 1 0 0 0 0 76
## 1.75 0 0 0 0 0 0 2
## 1.8 0 0 0 2 3 0 129
## 1.9 0 0 0 0 0 0 117
## 2 0 0 0 0 1 0 156
## 2.05 0 0 0 0 0 0 2
## 2.1 0 0 0 0 1 0 128
## 2.15 0 0 0 0 0 0 2
## 2.2 0 0 1 1 0 0 131
## 2.25 0 0 0 0 0 0 1
## 2.3 0 0 0 0 0 0 109
## 2.35 0 0 0 0 0 0 1
## 2.4 0 0 0 0 0 0 86
## 2.5 0 0 0 0 0 0 84
## 2.55 0 0 0 0 0 0 1
## 2.6 1 0 0 0 1 0 79
## 2.65 0 0 0 0 0 0 1
## 2.7 0 0 0 0 0 0 39
## 2.8 0 0 0 0 0 0 49
## 2.85 0 0 0 0 0 0 1
## 2.9 0 0 0 0 0 0 24
## 2.95 0 0 0 0 0 0 1
## 3 0 0 0 0 0 0 25
## 3.1 0 0 0 0 0 0 7
## 3.2 0 0 0 0 0 0 15
## 3.3 0 0 0 0 0 0 11
## 3.4 0 0 0 0 0 0 15
## 3.45 0 0 0 0 0 0 1
## 3.5 0 0 0 0 0 0 2
## 3.6 0 0 0 0 0 0 8
## 3.65 0 0 0 0 0 0 1
## 3.7 0 0 0 0 0 0 4
## 3.75 0 0 0 0 0 0 1
## 3.8 0 0 0 0 0 0 8
## 3.9 0 0 0 0 0 0 6
## 4 0 0 0 0 0 0 11
## 4.1 1 0 0 0 0 0 6
## 4.2 0 0 0 0 0 0 5
## 4.25 0 0 0 0 0 0 1
## 4.3 0 0 0 1 0 0 8
## 4.4 0 0 0 0 0 0 4
## 4.5 0 0 0 0 0 0 4
## 4.6 0 0 0 0 0 0 6
## 4.65 0 0 0 0 0 0 2
## 4.7 0 0 0 0 0 0 1
## 4.8 0 0 0 0 0 0 3
## 5 0 0 0 0 0 0 1
## 5.1 0 0 0 0 0 0 5
## 5.15 0 0 0 0 0 0 1
## 5.2 1 0 0 0 0 0 3
## 5.4 0 0 0 0 0 0 1
## 5.5 0 0 0 0 0 0 8
## 5.6 0 0 0 0 0 0 6
## 5.7 0 0 0 0 0 0 1
## 5.8 0 0 0 0 0 0 4
## 5.9 0 0 0 0 0 0 3
## 6 0 0 0 0 0 0 4
## 6.1 0 0 0 0 0 0 4
## 6.2 0 0 0 0 0 0 3
## 6.3 0 0 0 0 0 0 2
## 6.4 0 0 0 0 0 0 3
## 6.55 0 0 0 0 0 0 2
## 6.6 0 0 0 0 0 0 2
## 6.7 0 0 0 0 0 0 2
## 7 0 0 0 0 0 0 1
## 7.2 0 0 0 0 0 0 1
## 7.3 0 0 0 0 0 0 1
## 7.5 0 0 0 0 0 1 1
## 7.8 0 0 0 0 0 0 2
## 7.9 0 0 0 0 0 0 3
## 8.1 0 0 0 0 0 0 2
## 8.3 0 0 0 0 0 0 3
## 8.6 0 0 0 0 0 0 1
## 8.8 0 0 0 0 0 0 2
## 8.9 0 0 0 0 0 0 1
## 9 0 0 0 0 0 0 1
## 10.7 0 0 0 0 0 0 1
## 11 0 0 0 0 0 0 2
## 12.9 0 0 0 0 0 0 1
## 13.4 0 0 0 0 0 0 1
## 13.8 0 0 0 0 0 0 2
## 13.9 0 0 0 0 0 0 1
## 15.4 0 0 0 0 0 0 2
## 15.5 0 0 0 0 0 0 1
## Sum 3 1 1 4 7 1 1599chisq.test(mytable)## Warning in chisq.test(mytable): Chi-squared approximation may be incorrect##
## Pearson's Chi-squared test
##
## data: mytable
## X-squared = 11143, df = 5760, p-value < 2.2e-16ggplot(data=redwine, aes(x=residual.sugar, y=alcohol))+ geom_point()+ geom_smooth(method='lm', se=FALSE)+ scale_x_log10()
mytable<-xtabs(~quality+alcohol, data = redwine)
addmargins(mytable)## alcohol
## quality 8.4 8.5 8.7 8.8 9 9.05 9.1 9.2 9.23333333333333 9.25 9.3
## 3 1 0 0 0 1 0 0 0 0 0 0
## 4 0 0 0 0 2 1 2 3 0 0 2
## 5 0 1 0 2 11 0 14 50 0 0 44
## 6 1 0 2 0 16 0 7 17 1 1 13
## 7 0 0 0 0 0 0 0 2 0 0 0
## 8 0 0 0 0 0 0 0 0 0 0 0
## Sum 2 1 2 2 30 1 23 72 1 1 59
## alcohol
## quality 9.4 9.5 9.55 9.56666666666667 9.6 9.7 9.8 9.9 9.95 10
## 3 0 0 0 0 0 1 1 1 1 0
## 4 2 0 0 0 6 2 3 1 0 4
## 5 79 97 1 0 38 35 49 25 0 29
## 6 22 40 1 1 15 14 23 18 0 25
## 7 0 2 0 0 0 2 1 4 0 8
## 8 0 0 0 0 0 0 1 0 0 1
## Sum 103 139 2 1 59 54 78 49 1 67
## alcohol
## quality 10.0333333333333 10.1 10.2 10.3 10.4 10.5 10.55 10.6 10.7 10.75
## 3 0 0 1 0 0 0 0 0 1 0
## 4 0 1 0 1 3 1 0 0 0 0
## 5 0 23 21 13 12 31 0 8 7 0
## 6 2 21 20 18 25 25 1 14 18 1
## 7 0 2 4 1 1 10 1 6 1 0
## 8 0 0 0 0 0 0 0 0 0 0
## Sum 2 47 46 33 41 67 2 28 27 1
## alcohol
## quality 10.8 10.9 11 11.0666666666667 11.1 11.2 11.3 11.4 11.5 11.6 11.7
## 3 0 1 1 0 0 0 0 0 0 0 0
## 4 0 3 4 0 1 3 1 2 2 0 0
## 5 9 13 19 0 7 8 5 9 3 1 1
## 6 22 27 22 1 15 15 18 18 19 8 9
## 7 11 5 11 0 4 10 7 2 6 6 11
## 8 0 0 2 0 0 0 1 1 0 0 2
## Sum 42 49 59 1 27 36 32 32 30 15 23
## alcohol
## quality 11.8 11.9 11.95 12 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9
## 3 0 0 0 0 0 0 0 0 0 0 0 0 0
## 4 1 0 0 1 0 0 0 0 0 0 0 0 0
## 5 2 1 1 1 1 1 0 0 0 1 0 1 2
## 6 15 14 0 10 4 7 5 7 11 2 6 8 3
## 7 10 5 0 9 8 4 7 6 9 2 2 7 3
## 8 1 0 0 0 0 0 0 0 1 1 1 1 1
## Sum 29 20 1 21 13 12 12 13 21 6 9 17 9
## alcohol
## quality 13 13.1 13.2 13.3 13.4 13.5 13.5666666666667 13.6 14 14.9 Sum
## 3 0 0 0 0 0 0 0 0 0 0 10
## 4 0 1 0 0 0 0 0 0 0 0 53
## 5 4 0 0 0 0 0 0 0 0 1 681
## 6 0 0 1 2 1 1 0 1 4 0 638
## 7 2 0 0 1 1 0 1 3 1 0 199
## 8 0 1 0 0 1 0 0 0 2 0 18
## Sum 6 2 1 3 3 1 1 4 7 1 1599chisq.test(mytable)## Warning in chisq.test(mytable): Chi-squared approximation may be incorrect##
## Pearson's Chi-squared test
##
## data: mytable
## X-squared = 1124.5, df = 320, p-value < 2.2e-16ggplot(aes(x=factor(quality), y=alcohol), data=redwine)+ geom_boxplot(fill='grey', color='blue', outlier.color = 'red')+ scale_y_continuous()+ scale_x_discrete()+ ggtitle('Wine Quality vs Alcohol Concentration')+ xlab('Wine Quality')
the all -p-value < 2.2e-16(p<0.05) we can reject the null hypothesis The Variable pairs (quality & volatile acidity),(pH & alcohol %),(density & alcohol%),(chlorides content,alcohol %),(residual sugar,alcohol%),(quality,alcohol%) are not independent (Ans)
library(GGally)
round(cor(subset(redwine, select = -c(rating, label))), 3)## fixed.acidity volatile.acidity citric.acid
## fixed.acidity 1.000 -0.256 0.672
## volatile.acidity -0.256 1.000 -0.552
## citric.acid 0.672 -0.552 1.000
## residual.sugar 0.115 0.002 0.144
## chlorides 0.094 0.061 0.204
## free.sulfur.dioxide -0.154 -0.011 -0.061
## total.sulfur.dioxide -0.113 0.076 0.036
## density 0.668 0.022 0.365
## pH -0.683 0.235 -0.542
## sulphates 0.183 -0.261 0.313
## alcohol -0.062 -0.202 0.110
## quality 0.124 -0.391 0.226
## residual.sugar chlorides free.sulfur.dioxide
## fixed.acidity 0.115 0.094 -0.154
## volatile.acidity 0.002 0.061 -0.011
## citric.acid 0.144 0.204 -0.061
## residual.sugar 1.000 0.056 0.187
## chlorides 0.056 1.000 0.006
## free.sulfur.dioxide 0.187 0.006 1.000
## total.sulfur.dioxide 0.203 0.047 0.668
## density 0.355 0.201 -0.022
## pH -0.086 -0.265 0.070
## sulphates 0.006 0.371 0.052
## alcohol 0.042 -0.221 -0.069
## quality 0.014 -0.129 -0.051
## total.sulfur.dioxide density pH sulphates alcohol
## fixed.acidity -0.113 0.668 -0.683 0.183 -0.062
## volatile.acidity 0.076 0.022 0.235 -0.261 -0.202
## citric.acid 0.036 0.365 -0.542 0.313 0.110
## residual.sugar 0.203 0.355 -0.086 0.006 0.042
## chlorides 0.047 0.201 -0.265 0.371 -0.221
## free.sulfur.dioxide 0.668 -0.022 0.070 0.052 -0.069
## total.sulfur.dioxide 1.000 0.071 -0.066 0.043 -0.206
## density 0.071 1.000 -0.342 0.149 -0.496
## pH -0.066 -0.342 1.000 -0.197 0.206
## sulphates 0.043 0.149 -0.197 1.000 0.094
## alcohol -0.206 -0.496 0.206 0.094 1.000
## quality -0.185 -0.175 -0.058 0.251 0.476
## quality
## fixed.acidity 0.124
## volatile.acidity -0.391
## citric.acid 0.226
## residual.sugar 0.014
## chlorides -0.129
## free.sulfur.dioxide -0.051
## total.sulfur.dioxide -0.185
## density -0.175
## pH -0.058
## sulphates 0.251
## alcohol 0.476
## quality 1.000 set.seed(20022012)
redwine_sample=subset(redwine, select = -c(total.sulfur.dioxide, residual.sugar, free.sulfur.dioxide, sulphates, fixed.acidity, label, rating))
ggpairs(redwine_sample, wrap=list(size=4), lower=list(continuous=wrap('points',shape = I('.'))), upper=list(combo=wrap('box', outlier.shape = I('.'))))+
theme(legend.position = "none",
panel.grid.major = element_blank(),
axis.ticks = element_blank(),
panel.border = element_rect(linetype = "dashed", colour = "black", fill = NA))## Warning in warn_if_args_exist(list(...)): Extra arguments: "wrap" are
## being ignored. If these are meant to be aesthetics, submit them using the
## 'mapping' variable within ggpairs with ggplot2::aes or ggplot2::aes_string.
We’ll create a models with just the variables that we believe are critical for the prediction
library(memisc)## Loading required package: lattice## Loading required package: MASS##
## Attaching package: 'memisc'## The following object is masked from 'package:car':
##
## recode## The following objects are masked from 'package:stats':
##
## contr.sum, contr.treatment, contrasts## The following object is masked from 'package:base':
##
## as.arraym1 <- lm(I(quality) ~ I(alcohol), data = redwine)
m2 <- update(m1, ~ . + volatile.acidity)
m3 <- update(m2, ~ . + density)
m4 <- update(m3, ~ . + chlorides)
m5 <- update(m4, ~ . +pH)
mtable(m1,m2,m3,m4,m5)##
## Calls:
## m1: lm(formula = I(quality) ~ I(alcohol), data = redwine)
## m2: lm(formula = I(quality) ~ I(alcohol) + volatile.acidity, data = redwine)
## m3: lm(formula = I(quality) ~ I(alcohol) + volatile.acidity + density,
## data = redwine)
## m4: lm(formula = I(quality) ~ I(alcohol) + volatile.acidity + density +
## chlorides, data = redwine)
## m5: lm(formula = I(quality) ~ I(alcohol) + volatile.acidity + density +
## chlorides + pH, data = redwine)
##
## ==========================================================================================
## m1 m2 m3 m4 m5
## ------------------------------------------------------------------------------------------
## (Intercept) 1.875*** 3.095*** -18.407 -19.637 -8.811
## (0.175) (0.184) (10.298) (10.352) (10.747)
## I(alcohol) 0.361*** 0.314*** 0.333*** 0.330*** 0.336***
## (0.017) (0.016) (0.018) (0.019) (0.019)
## volatile.acidity -1.384*** -1.365*** -1.362*** -1.260***
## (0.095) (0.096) (0.096) (0.099)
## density 21.360* 22.660* 13.173
## (10.228) (10.289) (10.588)
## chlorides -0.422 -0.725
## (0.366) (0.374)
## pH -0.439***
## (0.122)
## ------------------------------------------------------------------------------------------
## R-squared 0.227 0.317 0.319 0.319 0.325
## adj. R-squared 0.226 0.316 0.318 0.318 0.323
## sigma 0.710 0.668 0.667 0.667 0.665
## F 468.267 370.379 248.893 187.042 153.309
## p 0.000 0.000 0.000 0.000 0.000
## Log-likelihood -1721.057 -1621.814 -1619.631 -1618.962 -1612.551
## Deviance 805.870 711.796 709.855 709.262 703.597
## AIC 3448.114 3251.628 3249.261 3249.924 3239.102
## BIC 3464.245 3273.136 3276.147 3282.187 3276.742
## N 1599 1599 1599 1599 1599
## ==========================================================================================The formula here for the quality of wine is -8.811 + (0.336)(alcohol) - (1.260)(volatile acidity) + 12.173 (density) -0.725(chlorides) - 0.439 (pH) We have a R-squared of 0.3, which means that the data is moderately fitted the regression line. However, the R-squared is increased from the first model i.e the model improved.
BiVariate Analysis After plotting the bivariate charts to see if they have any impact with alcohol concentration, I discovered that residual sugar has weak correlation with the concentration of alcohol. On the other hand pH turned out to have weak correlation but on the plot the points all resides within 3.0 to 3.5, which is acidic. At the end of play, density comes in it, the higher the alcohol concentration, the less the density.
MultiVariate plots
library(ggplot2)
ggplot(data=redwine, aes(x=density, y=alcohol, color=rating))+ geom_point()+ geom_smooth(method='lm', se=FALSE)
ggplot(data=redwine, aes(x=pH, y=alcohol ,color=rating))+ geom_point()+ geom_smooth(method='lm', se=FALSE)
ggplot(data=redwine, aes(x=pH, y=chlorides, color=rating))+
geom_point()+ geom_smooth(method='lm', se=FALSE)+
coord_cartesian(ylim=c(0,0.4))+
xlim(3, quantile(redwine$pH, 0.95))+
ylim(0, quantile(redwine$chlorides, 0.95))## Warning: Removed 177 rows containing non-finite values (stat_smooth).## Warning: Removed 177 rows containing missing values (geom_point).
Multivariate Analysis there is no big changes when rating joins the relationship.But it becomes a important factor.We can see the relationship between density and alcohol is negative.
SUMMARY
First Part
ggplot(data=redwine, aes(x=as.factor(quality), fill=label))+
geom_bar(aes(y=..count../sum(..count..)))+
scale_fill_discrete(name="Alcohol Percentage in Decimal")+
xlab("redwine Quality")+
ylab('Percentage in Decimal')+
ggtitle('redwine Quality and its Percentage Distribution')
by(redwine$alcohol, redwine$quality, summary)## redwine$quality: 3
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.400 9.725 9.925 9.955 10.575 11.000
## --------------------------------------------------------
## redwine$quality: 4
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.00 9.60 10.00 10.27 11.00 13.10
## --------------------------------------------------------
## redwine$quality: 5
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.5 9.4 9.7 9.9 10.2 14.9
## --------------------------------------------------------
## redwine$quality: 6
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.40 9.80 10.50 10.63 11.30 14.00
## --------------------------------------------------------
## redwine$quality: 7
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.20 10.80 11.50 11.47 12.10 14.00
## --------------------------------------------------------
## redwine$quality: 8
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.80 11.32 12.15 12.09 12.88 14.00 #same with redwine rating
ggplot(data=redwine, aes(x=as.factor(quality), fill=rating))+
geom_bar(aes(y=..count../sum(..count..)))+
scale_fill_discrete(name="Alcohol Percentage in Decimal")+
xlab("redwine Quality")+
ylab('Percentage in Decimal')+
ggtitle('redwine Quality and its Percentage Distribution')
by(redwine$alcohol, redwine$quality, summary)## redwine$quality: 3
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.400 9.725 9.925 9.955 10.575 11.000
## --------------------------------------------------------
## redwine$quality: 4
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.00 9.60 10.00 10.27 11.00 13.10
## --------------------------------------------------------
## redwine$quality: 5
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.5 9.4 9.7 9.9 10.2 14.9
## --------------------------------------------------------
## redwine$quality: 6
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.40 9.80 10.50 10.63 11.30 14.00
## --------------------------------------------------------
## redwine$quality: 7
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.20 10.80 11.50 11.47 12.10 14.00
## --------------------------------------------------------
## redwine$quality: 8
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.80 11.32 12.15 12.09 12.88 14.00created 2 new variables ‘label’ and ‘rating’ to show how alcohol percentage and wine quality vary. We can see that medium alchol is the majority.
Second Part
ggplot(data=redwine, aes(x=density, y=pH, color=rating))+
geom_point(position='jitter')+
xlab('Density') +
ylab('pH')+
ggtitle('Density and pH for Different Category of redwine Rating')+
geom_smooth(method='lm', se=FALSE)
#same with redwine label
ggplot(data=redwine, aes(x=density, y=pH, color=label))+
geom_point(position='jitter')+
xlab('Density') +
ylab('pH')+
ggtitle('Density and pH for Different Category of redwine label')+
geom_smooth(method='lm', se=FALSE)
From the scatterplot distribution, there is a negative relationship between density and pH among wine samples. The lines are drawn to see the ratings. The correlation that we identified in earlier suggested a relatively moderate relationship where value is -0.342. The graph here also states that the lower value the pH with density be between approximately 0.99 and 1, the rating of the alcohol would remain very good.
Final Part
ggplot(data=redwine, aes(x=alcohol, y=density, color=rating))+
geom_point(alpha=0.5, size=0.5)+
geom_jitter(alpha=0.3)+
geom_smooth(method='lm', se=FALSE)+
xlab('Alcohol Percentage') +
ylab('redwine Density')+
ggtitle('redwine Density and Alcohol Percentage for Different Category of redwine Rating')
ggplot(data=redwine, aes(x=alcohol, y=density, color=label))+
geom_point(alpha=0.5, size=0.5)+
geom_jitter(alpha=0.3)+
geom_smooth(method='lm', se=FALSE)+
xlab('Alcohol Percentage') +
ylab('redwine Density')+
ggtitle('redwine Density and Alcohol Percentage for Different Category of redwine label')
The distribution of Alcohol % and Density of wine is strong. The higher the alcohol %, the lower is the density.It’s clearly visible that in this plot that stronger wine tend to have higher rating.
Conclusion
Based on the analysis for the dataset:- ->Here in this project I have examined this red wine quality data set through various plotting and different statistical techniques.
->two most important features as alcohol and sulphates
-> The alcohol concentrate is the most important factor to deciding the quality of Red Wine would be density. The lower the density, the higher the alcohol concentration, and the higher the alcohol concentration the better the quality of wine.
->sulphates has a positive correlation with wine quality. It is often added by winemakers to prevent spoilage. It is less likely that sulphates itself contribute to better taste or aroma. Its present simply means the wine is less likely to be spoiled.
-> volatile acidity has a negative correlation to wine quality. Volatile acidity can contributed to acidic tastes which is often considered a wine fault.
->unlike volatile acid, citic acids has positive correlation with wine quality . Winemaker often add citric acid to give a “freshness” test. However it can also bring unwanted effects through bacteria metabolism.
->Surprisingly, other chemical proprieties do not have strong correlation with wine quality, such as the residual sugar and pH .
->At the end of the story I can say that Wine quality is a very complex study.Good wine is more than perfect combination of different chemical components. Future improvement can be made if more data can be collected on both low-quality and high-quality wine.If the data set has more records on both the low end and high end, the quality of analysis can be improved. We can be more certain about whether there is a significant correlation between a chemical component and the wine quality.
End of Red Wine Quality Analysis Thank You!