setwd("/Users/emma/Documents/SYRACUSE/IST707/Week_6.7")
library(ggplot2)
library(caret)## Loading required package: latticelibrary(arules)## Loading required package: Matrix##
## Attaching package: 'arules'## The following objects are masked from 'package:base':
##
## abbreviate, writelibrary(rattle)## Loading required package: tibble## Loading required package: bitops## Rattle: A free graphical interface for data science with R.
## Version 5.4.0 Copyright (c) 2006-2020 Togaware Pty Ltd.
## Type 'rattle()' to shake, rattle, and roll your data.library(randomForest)## randomForest 4.6-14## Type rfNews() to see new features/changes/bug fixes.##
## Attaching package: 'randomForest'## The following object is masked from 'package:rattle':
##
## importance## The following object is masked from 'package:ggplot2':
##
## marginlibrary(tibble)
library(reshape2)digit_data <- read.csv("Kaggle-digit-train-sample-small-1400.csv")
str(digit_data)## 'data.frame': 1400 obs. of 785 variables:
## $ label : int 7 1 6 5 0 6 1 2 9 4 ...
## $ pixel0 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel1 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel2 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel3 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel4 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel5 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel6 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel7 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel8 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel9 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel10 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel11 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel12 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel13 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel14 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel15 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel16 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel17 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel18 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel19 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel20 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel21 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel22 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel23 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel24 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel25 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel26 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel27 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel28 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel29 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel30 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel31 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel32 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel33 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel34 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel35 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel36 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel37 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel38 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel39 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel40 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel41 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel42 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel43 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel44 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel45 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel46 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel47 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel48 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel49 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel50 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel51 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel52 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel53 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel54 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel55 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel56 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel57 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel58 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel59 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel60 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel61 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel62 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel63 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel64 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel65 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel66 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel67 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel68 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel69 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel70 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel71 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel72 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel73 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel74 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel75 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel76 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel77 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel78 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel79 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel80 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel81 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel82 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel83 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel84 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel85 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel86 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel87 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel88 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel89 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ pixel90 : int 0 0 216 0 0 0 0 0 0 0 ...
## $ pixel91 : int 0 0 162 0 0 0 0 0 0 0 ...
## $ pixel92 : int 0 0 0 0 0 23 0 0 0 0 ...
## $ pixel93 : int 0 0 0 0 0 157 0 0 0 0 ...
## $ pixel94 : int 0 0 0 0 0 108 0 0 0 0 ...
## $ pixel95 : int 0 0 0 0 0 0 0 12 0 0 ...
## $ pixel96 : int 0 0 0 0 0 0 0 96 0 0 ...
## $ pixel97 : int 0 0 0 0 0 0 0 234 0 0 ...
## [list output truncated]summary(digit_data)## label pixel0 pixel1 pixel2 pixel3 pixel4
## Min. :0.000 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:2.000 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :4.000 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :4.448 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:7.000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :9.000 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel5 pixel6 pixel7 pixel8 pixel9 pixel10
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel11 pixel12 pixel13 pixel14 pixel15 pixel16
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel17 pixel18 pixel19 pixel20 pixel21 pixel22
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel23 pixel24 pixel25 pixel26 pixel27 pixel28
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel29 pixel30 pixel31 pixel32 pixel33 pixel34
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel35 pixel36 pixel37 pixel38
## Min. :0 Min. :0 Min. : 0.00000 Min. : 0.0000
## 1st Qu.:0 1st Qu.:0 1st Qu.: 0.00000 1st Qu.: 0.0000
## Median :0 Median :0 Median : 0.00000 Median : 0.0000
## Mean :0 Mean :0 Mean : 0.06357 Mean : 0.3993
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.00000 3rd Qu.: 0.0000
## Max. :0 Max. :0 Max. :64.00000 Max. :255.0000
## pixel39 pixel40 pixel41 pixel42
## Min. : 0.0000 Min. : 0.0000 Min. : 0.00000 Min. : 0.00000
## 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.: 0.00000 1st Qu.: 0.00000
## Median : 0.0000 Median : 0.0000 Median : 0.00000 Median : 0.00000
## Mean : 0.1779 Mean : 0.1514 Mean : 0.01571 Mean : 0.06071
## 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.: 0.00000 3rd Qu.: 0.00000
## Max. :240.0000 Max. :212.0000 Max. :22.00000 Max. :85.00000
## pixel43 pixel44 pixel45 pixel46
## Min. : 0.0000 Min. : 0.0000 Min. : 0.0000 Min. :0
## 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.:0
## Median : 0.0000 Median : 0.0000 Median : 0.0000 Median :0
## Mean : 0.3171 Mean : 0.5021 Mean : 0.1757 Mean :0
## 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.:0
## Max. :255.0000 Max. :254.0000 Max. :202.0000 Max. :0
## pixel47 pixel48 pixel49 pixel50 pixel51 pixel52
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel53 pixel54 pixel55 pixel56 pixel57 pixel58
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel59 pixel60 pixel61 pixel62 pixel63
## Min. :0 Min. :0 Min. :0 Min. :0.0000000 Min. : 0.0000
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0.0000000 1st Qu.: 0.0000
## Median :0 Median :0 Median :0 Median :0.0000000 Median : 0.0000
## Mean :0 Mean :0 Mean :0 Mean :0.0007143 Mean : 0.1629
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0.0000000 3rd Qu.: 0.0000
## Max. :0 Max. :0 Max. :0 Max. :1.0000000 Max. :148.0000
## pixel64 pixel65 pixel66 pixel67
## Min. : 0.0000 Min. : 0.00 Min. : 0.000 Min. : 0.0000
## 1st Qu.: 0.0000 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.0000
## Median : 0.0000 Median : 0.00 Median : 0.000 Median : 0.0000
## Mean : 0.4364 Mean : 1.02 Mean : 1.333 Mean : 0.8343
## 3rd Qu.: 0.0000 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.0000
## Max. :255.0000 Max. :255.00 Max. :255.000 Max. :255.0000
## pixel68 pixel69 pixel70 pixel71
## Min. : 0.000 Min. : 0.000 Min. : 0.000 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00
## Median : 0.000 Median : 0.000 Median : 0.000 Median : 0.00
## Mean : 1.974 Mean : 2.499 Mean : 2.738 Mean : 3.15
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00
## Max. :254.000 Max. :255.000 Max. :255.000 Max. :255.00
## pixel72 pixel73 pixel74 pixel75
## Min. : 0.000 Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.000 Median : 0.000 Median : 0.000 Median : 0.000
## Mean : 3.096 Mean : 2.951 Mean : 3.203 Mean : 3.044
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :255.000 Max. :254.000 Max. :254.000 Max. :255.000
## pixel76 pixel77 pixel78 pixel79
## Min. : 0.000 Min. : 0.0000 Min. : 0.0000 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.: 0.0000
## Median : 0.000 Median : 0.0000 Median : 0.0000 Median : 0.0000
## Mean : 1.719 Mean : 0.4993 Mean : 0.1814 Mean : 0.1571
## 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.: 0.0000
## Max. :255.000 Max. :255.0000 Max. :128.0000 Max. :220.0000
## pixel80 pixel81 pixel82 pixel83 pixel84 pixel85
## Min. : 0.00000 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.: 0.00000 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median : 0.00000 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean : 0.05429 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.: 0.00000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :76.00000 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel86 pixel87 pixel88 pixel89 pixel90
## Min. :0 Min. :0 Min. :0 Min. : 0.00000 Min. : 0.0000
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.: 0.00000 1st Qu.: 0.0000
## Median :0 Median :0 Median :0 Median : 0.00000 Median : 0.0000
## Mean :0 Mean :0 Mean :0 Mean : 0.02786 Mean : 0.2929
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.00000 3rd Qu.: 0.0000
## Max. :0 Max. :0 Max. :0 Max. :39.00000 Max. :216.0000
## pixel91 pixel92 pixel93 pixel94
## Min. : 0.0000 Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.0000 Median : 0.000 Median : 0.000 Median : 0.000
## Mean : 0.6621 Mean : 1.016 Mean : 2.242 Mean : 3.821
## 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :253.0000 Max. :253.000 Max. :255.000 Max. :255.000
## pixel95 pixel96 pixel97 pixel98
## Min. : 0.000 Min. : 0.000 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.000 Median : 0.00 Median : 0.00
## Mean : 5.572 Mean : 8.294 Mean : 10.36 Mean : 11.03
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.000 Max. :255.000 Max. :255.00 Max. :255.00
## pixel99 pixel100 pixel101 pixel102
## Min. : 0 Min. : 0.00 Min. : 0.00 Min. : 0.000
## 1st Qu.: 0 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000
## Median : 0 Median : 0.00 Median : 0.00 Median : 0.000
## Mean : 11 Mean : 10.68 Mean : 10.57 Mean : 9.489
## 3rd Qu.: 0 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.000
## Max. :255 Max. :255.00 Max. :255.00 Max. :255.000
## pixel103 pixel104 pixel105 pixel106
## Min. : 0.000 Min. : 0.00 Min. : 0.000 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.0000
## Median : 0.000 Median : 0.00 Median : 0.000 Median : 0.0000
## Mean : 7.589 Mean : 5.02 Mean : 2.207 Mean : 0.6793
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.0000
## Max. :255.000 Max. :255.00 Max. :255.000 Max. :242.0000
## pixel107 pixel108 pixel109 pixel110
## Min. : 0.0000 Min. : 0.00000 Min. : 0.00000 Min. : 0.00000
## 1st Qu.: 0.0000 1st Qu.: 0.00000 1st Qu.: 0.00000 1st Qu.: 0.00000
## Median : 0.0000 Median : 0.00000 Median : 0.00000 Median : 0.00000
## Mean : 0.1907 Mean : 0.05214 Mean : 0.04714 Mean : 0.08643
## 3rd Qu.: 0.0000 3rd Qu.: 0.00000 3rd Qu.: 0.00000 3rd Qu.: 0.00000
## Max. :254.0000 Max. :55.00000 Max. :66.00000 Max. :121.00000
## pixel111 pixel112 pixel113 pixel114 pixel115 pixel116
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0 Min. : 0.00
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.: 0.00
## Median :0 Median :0 Median :0 Median :0 Median :0 Median : 0.00
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0 Mean : 0.08
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.00
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0 Max. :112.00
## pixel117 pixel118 pixel119 pixel120
## Min. : 0.0000 Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.0000 Median : 0.000 Median : 0.000 Median : 0.000
## Mean : 0.4236 Mean : 1.265 Mean : 2.523 Mean : 4.224
## 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :255.0000 Max. :253.000 Max. :255.000 Max. :255.000
## pixel121 pixel122 pixel123 pixel124
## Min. : 0.000 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 8.315 Mean : 13.73 Mean : 19.92 Mean : 27.25
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.000 Max. :255.00 Max. :255.00 Max. :255.00
## pixel125 pixel126 pixel127 pixel128
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 34.48 Mean : 37.37 Mean : 38.54 Mean : 38.57
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel129 pixel130 pixel131 pixel132
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 37.57 Mean : 32.62 Mean : 26.12 Mean : 18.39
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel133 pixel134 pixel135 pixel136
## Min. : 0.000 Min. : 0.00 Min. : 0.000 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.0000
## Median : 0.000 Median : 0.00 Median : 0.000 Median : 0.0000
## Mean : 9.535 Mean : 4.16 Mean : 1.461 Mean : 0.9029
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.0000
## Max. :255.000 Max. :255.00 Max. :255.000 Max. :254.0000
## pixel137 pixel138 pixel139 pixel140 pixel141
## Min. : 0.0000 Min. : 0.00000 Min. :0 Min. :0 Min. :0
## 1st Qu.: 0.0000 1st Qu.: 0.00000 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median : 0.0000 Median : 0.00000 Median :0 Median :0 Median :0
## Mean : 0.7514 Mean : 0.01214 Mean :0 Mean :0 Mean :0
## 3rd Qu.: 0.0000 3rd Qu.: 0.00000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :254.0000 Max. :17.00000 Max. :0 Max. :0 Max. :0
## pixel142 pixel143 pixel144 pixel145 pixel146
## Min. :0 Min. :0 Min. : 0.00000 Min. : 0.000 Min. : 0.000
## 1st Qu.:0 1st Qu.:0 1st Qu.: 0.00000 1st Qu.: 0.000 1st Qu.: 0.000
## Median :0 Median :0 Median : 0.00000 Median : 0.000 Median : 0.000
## Mean :0 Mean :0 Mean : 0.02643 Mean : 1.535 Mean : 3.197
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.00000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :0 Max. :0 Max. :19.00000 Max. :255.000 Max. :254.000
## pixel147 pixel148 pixel149 pixel150
## Min. : 0.000 Min. : 0.00 Min. : 0.00 Min. : 0
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0
## Median : 0.000 Median : 0.00 Median : 0.00 Median : 0
## Mean : 6.319 Mean : 10.76 Mean : 20.21 Mean : 32
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0
## Max. :255.000 Max. :255.00 Max. :255.00 Max. :255
## pixel151 pixel152 pixel153 pixel154
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 43.61 Mean : 58.56 Mean : 73.31 Mean : 83.22
## 3rd Qu.: 16.25 3rd Qu.:107.00 3rd Qu.:173.00 3rd Qu.:200.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel155 pixel156 pixel157 pixel158
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 88.18 Mean : 87.83 Mean : 79.93 Mean : 66.75
## 3rd Qu.:214.00 3rd Qu.:215.50 3rd Qu.:201.75 3rd Qu.:141.50
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel159 pixel160 pixel161 pixel162
## Min. : 0.0 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.0 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 50.7 Mean : 37.63 Mean : 22.69 Mean : 12.27
## 3rd Qu.: 61.0 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.0 Max. :255.00 Max. :255.00 Max. :255.00
## pixel163 pixel164 pixel165 pixel166
## Min. : 0.000 Min. : 0.000 Min. : 0.000 Min. :0.000000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.000000
## Median : 0.000 Median : 0.000 Median : 0.000 Median :0.000000
## Mean : 5.784 Mean : 3.322 Mean : 1.214 Mean :0.004286
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.:0.000000
## Max. :255.000 Max. :253.000 Max. :253.000 Max. :6.000000
## pixel167 pixel168 pixel169 pixel170 pixel171
## Min. :0 Min. :0 Min. :0 Min. :0 Min. : 0.0000
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.: 0.0000
## Median :0 Median :0 Median :0 Median :0 Median : 0.0000
## Mean :0 Mean :0 Mean :0 Mean :0 Mean : 0.4943
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.0000
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :211.0000
## pixel172 pixel173 pixel174 pixel175
## Min. : 0.0000 Min. : 0.000 Min. : 0.000 Min. : 0.00
## 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00
## Median : 0.0000 Median : 0.000 Median : 0.000 Median : 0.00
## Mean : 0.8836 Mean : 2.951 Mean : 6.391 Mean : 11.45
## 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00
## Max. :214.0000 Max. :255.000 Max. :255.000 Max. :255.00
## pixel176 pixel177 pixel178 pixel179
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 21.36 Mean : 36.55 Mean : 52.49 Mean : 69.49
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 64.00 3rd Qu.:153.25
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel180 pixel181 pixel182 pixel183
## Min. : 0.00 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 0.00 Median : 61.0 Median :121.5 Median :141.0
## Mean : 87.33 Mean :106.8 Mean :121.2 Mean :128.2
## 3rd Qu.:211.00 3rd Qu.:251.0 3rd Qu.:252.0 3rd Qu.:253.0
## Max. :255.00 Max. :255.0 Max. :255.0 Max. :255.0
## pixel184 pixel185 pixel186 pixel187
## Min. : 0.0 Min. : 0.0 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00
## Median :134.5 Median : 64.5 Median : 8.50 Median : 0.00
## Mean :125.7 Mean :111.0 Mean : 94.08 Mean : 72.64
## 3rd Qu.:252.0 3rd Qu.:252.0 3rd Qu.:230.00 3rd Qu.:170.25
## Max. :255.0 Max. :255.0 Max. :255.00 Max. :255.00
## pixel188 pixel189 pixel190 pixel191
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.0
## Mean : 54.59 Mean : 33.97 Mean : 20.72 Mean : 10.5
## 3rd Qu.: 74.00 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.0
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel192 pixel193 pixel194 pixel195 pixel196
## Min. : 0.000 Min. : 0.000 Min. : 0.00 Min. :0 Min. :0
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.:0 1st Qu.:0
## Median : 0.000 Median : 0.000 Median : 0.00 Median :0 Median :0
## Mean : 5.119 Mean : 2.176 Mean : 0.11 Mean :0 Mean :0
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.:0 3rd Qu.:0
## Max. :255.000 Max. :217.000 Max. :154.00 Max. :0 Max. :0
## pixel197 pixel198 pixel199 pixel200
## Min. :0 Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.:0 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median :0 Median : 0.000 Median : 0.000 Median : 0.000
## Mean :0 Mean : 0.105 Mean : 1.096 Mean : 1.678
## 3rd Qu.:0 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :0 Max. :147.000 Max. :255.000 Max. :254.000
## pixel201 pixel202 pixel203 pixel204
## Min. : 0.000 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 4.901 Mean : 11.09 Mean : 19.47 Mean : 33.73
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.000 Max. :255.00 Max. :255.00 Max. :255.00
## pixel205 pixel206 pixel207 pixel208
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 19.00 Median : 88.5
## Mean : 53.56 Mean : 72.63 Mean : 91.13 Mean :111.6
## 3rd Qu.: 73.75 3rd Qu.:164.00 3rd Qu.:215.25 3rd Qu.:248.0
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel209 pixel210 pixel211 pixel212
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median :136.0 Median :164.5 Median :178.0 Median :182.5
## Mean :127.9 Mean :137.5 Mean :141.1 Mean :139.8
## 3rd Qu.:252.0 3rd Qu.:253.0 3rd Qu.:253.0 3rd Qu.:253.0
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.0
## pixel213 pixel214 pixel215 pixel216
## Min. : 0.0 Min. : 0.0 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00
## Median :130.5 Median : 75.5 Median : 10.50 Median : 0.00
## Mean :127.9 Mean :110.0 Mean : 92.31 Mean : 70.78
## 3rd Qu.:252.0 3rd Qu.:251.0 3rd Qu.:225.25 3rd Qu.:170.00
## Max. :255.0 Max. :255.0 Max. :255.00 Max. :255.00
## pixel217 pixel218 pixel219 pixel220
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.000
## Mean : 45.27 Mean : 27.99 Mean : 15.04 Mean : 8.296
## 3rd Qu.: 31.25 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.000
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.000
## pixel221 pixel222 pixel223 pixel224
## Min. : 0.000 Min. : 0.0000 Min. :0 Min. :0
## 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.:0 1st Qu.:0
## Median : 0.000 Median : 0.0000 Median :0 Median :0
## Mean : 3.285 Mean : 0.3114 Mean :0 Mean :0
## 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.:0 3rd Qu.:0
## Max. :254.000 Max. :217.0000 Max. :0 Max. :0
## pixel225 pixel226 pixel227 pixel228
## Min. : 0.00000 Min. : 0.00000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.00000 1st Qu.: 0.00000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.00000 Median : 0.00000 Median : 0.000 Median : 0.000
## Mean : 0.04857 Mean : 0.08214 Mean : 1.099 Mean : 2.789
## 3rd Qu.: 0.00000 3rd Qu.: 0.00000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :68.00000 Max. :115.00000 Max. :255.000 Max. :254.000
## pixel229 pixel230 pixel231 pixel232
## Min. : 0.000 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 6.909 Mean : 13.93 Mean : 26.57 Mean : 44.22
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 25.00
## Max. :255.000 Max. :255.00 Max. :255.00 Max. :255.00
## pixel233 pixel234 pixel235 pixel236
## Min. : 0.00 Min. : 0.00 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 0.00 Median : 13.00 Median : 73.0 Median :119.0
## Mean : 69.01 Mean : 92.21 Mean :111.5 Mean :122.2
## 3rd Qu.:150.25 3rd Qu.:228.00 3rd Qu.:250.2 3rd Qu.:252.0
## Max. :255.00 Max. :255.00 Max. :255.0 Max. :255.0
## pixel237 pixel238 pixel239 pixel240
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median :129.5 Median :130.0 Median :118.5 Median :133.5
## Mean :125.8 Mean :126.3 Mean :124.2 Mean :127.6
## 3rd Qu.:252.0 3rd Qu.:252.0 3rd Qu.:252.0 3rd Qu.:252.0
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.0
## pixel241 pixel242 pixel243 pixel244
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.00
## Median :122.0 Median : 79.0 Median : 29.0 Median : 0.00
## Mean :124.2 Mean :113.0 Mean : 99.2 Mean : 75.97
## 3rd Qu.:252.0 3rd Qu.:251.2 3rd Qu.:240.2 3rd Qu.:184.00
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.00
## pixel245 pixel246 pixel247 pixel248
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.000
## Mean : 51.59 Mean : 30.95 Mean : 16.47 Mean : 7.606
## 3rd Qu.: 62.00 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.000
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :254.000
## pixel249 pixel250 pixel251 pixel252 pixel253
## Min. : 0.000 Min. : 0.0000 Min. :0 Min. :0 Min. :0
## 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median : 0.000 Median : 0.0000 Median :0 Median :0 Median :0
## Mean : 2.764 Mean : 0.2793 Mean :0 Mean :0 Mean :0
## 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :253.000 Max. :202.0000 Max. :0 Max. :0 Max. :0
## pixel254 pixel255 pixel256 pixel257
## Min. : 0.0000 Min. : 0.0000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.0000 Median : 0.0000 Median : 0.000 Median : 0.000
## Mean : 0.1714 Mean : 0.9679 Mean : 3.192 Mean : 8.307
## 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :223.0000 Max. :244.0000 Max. :254.000 Max. :255.000
## pixel258 pixel259 pixel260 pixel261
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 17.27 Mean : 32.45 Mean : 54.31 Mean : 79.48
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 78.75 3rd Qu.:201.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel262 pixel263 pixel264 pixel265
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 45.0 Median : 79.5 Median : 81.0 Median : 64.0
## Mean :102.4 Mean :112.5 Mean :112.4 Mean :105.8
## 3rd Qu.:238.5 3rd Qu.:251.0 3rd Qu.:250.0 3rd Qu.:237.5
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.0
## pixel266 pixel267 pixel268 pixel269 pixel270
## Min. : 0.00 Min. : 0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 39.50 Median : 46 Median : 70.0 Median : 70.5 Median : 72.5
## Mean : 98.38 Mean :100 Mean :105.8 Mean :111.3 Mean :109.8
## 3rd Qu.:237.00 3rd Qu.:236 3rd Qu.:240.0 3rd Qu.:252.0 3rd Qu.:251.0
## Max. :255.00 Max. :255 Max. :255.0 Max. :255.0 Max. :255.0
## pixel271 pixel272 pixel273 pixel274
## Min. : 0.00 Min. : 0.0 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 18.50 Median : 0.0 Median : 0.00 Median : 0.00
## Mean : 98.61 Mean : 73.3 Mean : 49.13 Mean : 29.96
## 3rd Qu.:238.25 3rd Qu.:170.0 3rd Qu.: 37.25 3rd Qu.: 0.00
## Max. :255.00 Max. :255.0 Max. :255.00 Max. :255.00
## pixel275 pixel276 pixel277 pixel278
## Min. : 0.00 Min. : 0.000 Min. : 0.0000 Min. : 0.0000
## 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 0.0000
## Median : 0.00 Median : 0.000 Median : 0.0000 Median : 0.0000
## Mean : 14.62 Mean : 5.073 Mean : 0.9743 Mean : 0.2864
## 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.: 0.0000
## Max. :255.00 Max. :254.000 Max. :250.0000 Max. :147.0000
## pixel279 pixel280 pixel281 pixel282 pixel283
## Min. :0 Min. :0 Min. :0 Min. : 0.0000 Min. : 0.000
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.: 0.0000 1st Qu.: 0.000
## Median :0 Median :0 Median :0 Median : 0.0000 Median : 0.000
## Mean :0 Mean :0 Mean :0 Mean : 0.3686 Mean : 1.247
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.0000 3rd Qu.: 0.000
## Max. :0 Max. :0 Max. :0 Max. :253.0000 Max. :254.000
## pixel284 pixel285 pixel286 pixel287
## Min. : 0.000 Min. : 0.000 Min. : 0.0 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.0 1st Qu.: 0.00
## Median : 0.000 Median : 0.000 Median : 0.0 Median : 0.00
## Mean : 3.391 Mean : 8.771 Mean : 20.1 Mean : 35.76
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.0 3rd Qu.: 0.00
## Max. :255.000 Max. :255.000 Max. :255.0 Max. :255.00
## pixel288 pixel289 pixel290 pixel291
## Min. : 0.00 Min. : 0.00 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 36.5 Median : 36.5
## Mean : 61.48 Mean : 85.96 Mean :102.4 Mean :103.2
## 3rd Qu.:117.00 3rd Qu.:219.00 3rd Qu.:243.0 3rd Qu.:245.2
## Max. :255.00 Max. :255.00 Max. :255.0 Max. :255.0
## pixel292 pixel293 pixel294 pixel295
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 22.00 Median : 6.00 Median : 0.00 Median : 0.00
## Mean : 93.72 Mean : 82.99 Mean : 79.02 Mean : 84.17
## 3rd Qu.:223.00 3rd Qu.:202.25 3rd Qu.:189.00 3rd Qu.:210.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel296 pixel297 pixel298 pixel299
## Min. : 0.00 Min. : 0.0 Min. : 0.0 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.00
## Median : 23.50 Median : 50.0 Median : 56.5 Median : 9.50
## Mean : 94.64 Mean :103.5 Mean :106.5 Mean : 91.96
## 3rd Qu.:222.00 3rd Qu.:243.0 3rd Qu.:245.0 3rd Qu.:226.00
## Max. :255.00 Max. :255.0 Max. :255.0 Max. :255.00
## pixel300 pixel301 pixel302 pixel303
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 67.12 Mean : 44.38 Mean : 28.63 Mean : 13.38
## 3rd Qu.:141.25 3rd Qu.: 19.00 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel304 pixel305 pixel306 pixel307
## Min. : 0.000 Min. : 0.0000 Min. : 0.0000 Min. :0
## 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.:0
## Median : 0.000 Median : 0.0000 Median : 0.0000 Median :0
## Mean : 4.631 Mean : 0.5221 Mean : 0.2864 Mean :0
## 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.:0
## Max. :255.000 Max. :230.0000 Max. :222.0000 Max. :0
## pixel308 pixel309 pixel310 pixel311 pixel312
## Min. :0 Min. :0 Min. : 0.0000 Min. : 0.00 Min. : 0.000
## 1st Qu.:0 1st Qu.:0 1st Qu.: 0.0000 1st Qu.: 0.00 1st Qu.: 0.000
## Median :0 Median :0 Median : 0.0000 Median : 0.00 Median : 0.000
## Mean :0 Mean :0 Mean : 0.2957 Mean : 1.02 Mean : 3.302
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.0000 3rd Qu.: 0.00 3rd Qu.: 0.000
## Max. :0 Max. :0 Max. :195.0000 Max. :254.00 Max. :255.000
## pixel313 pixel314 pixel315 pixel316
## Min. : 0.000 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 9.375 Mean : 22.12 Mean : 40.81 Mean : 67.83
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 11.25 3rd Qu.:153.00
## Max. :255.000 Max. :255.00 Max. :255.00 Max. :255.00
## pixel317 pixel318 pixel319 pixel320
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 28.50 Median : 18.50 Median : 0.00
## Mean : 88.54 Mean : 98.08 Mean : 94.58 Mean : 82.64
## 3rd Qu.:226.00 3rd Qu.:238.00 3rd Qu.:230.25 3rd Qu.:198.25
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel321 pixel322 pixel323 pixel324
## Min. : 0.00 Min. : 0.0 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.0 Median : 5.00 Median : 37.50
## Mean : 74.51 Mean : 75.8 Mean : 83.61 Mean : 97.92
## 3rd Qu.:167.25 3rd Qu.:178.2 3rd Qu.:198.25 3rd Qu.:227.00
## Max. :255.00 Max. :255.0 Max. :255.00 Max. :255.00
## pixel325 pixel326 pixel327 pixel328
## Min. : 0.0 Min. : 0.0 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 64.0 Median : 64.0 Median : 0.50 Median : 0.00
## Mean :109.4 Mean :107.9 Mean : 86.97 Mean : 61.43
## 3rd Qu.:247.0 3rd Qu.:249.0 3rd Qu.:221.25 3rd Qu.:119.00
## Max. :255.0 Max. :255.0 Max. :255.00 Max. :255.00
## pixel329 pixel330 pixel331 pixel332
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.000
## Mean : 40.86 Mean : 25.27 Mean : 12.99 Mean : 4.695
## 3rd Qu.: 3.00 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.000
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :253.000
## pixel333 pixel334 pixel335 pixel336 pixel337
## Min. : 0.0000 Min. : 0.00000 Min. :0 Min. :0 Min. :0
## 1st Qu.: 0.0000 1st Qu.: 0.00000 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median : 0.0000 Median : 0.00000 Median :0 Median :0 Median :0
## Mean : 0.5821 Mean : 0.08429 Mean :0 Mean :0 Mean :0
## 3rd Qu.: 0.0000 3rd Qu.: 0.00000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :234.0000 Max. :64.00000 Max. :0 Max. :0 Max. :0
## pixel338 pixel339 pixel340 pixel341
## Min. : 0.00000 Min. : 0.0000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.00000 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.00000 Median : 0.0000 Median : 0.000 Median : 0.000
## Mean : 0.03429 Mean : 0.4443 Mean : 2.128 Mean : 9.466
## 3rd Qu.: 0.00000 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :24.00000 Max. :187.0000 Max. :255.000 Max. :255.000
## pixel342 pixel343 pixel344 pixel345
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 3.00
## Mean : 24.12 Mean : 45.54 Mean : 71.65 Mean : 90.42
## 3rd Qu.: 0.00 3rd Qu.: 21.00 3rd Qu.:163.75 3rd Qu.:226.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel346 pixel347 pixel348 pixel349
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 25.50 Median : 9.50 Median : 0.00 Median : 0.00
## Mean : 94.86 Mean : 90.55 Mean : 80.79 Mean : 79.31
## 3rd Qu.:225.00 3rd Qu.:222.00 3rd Qu.:195.25 3rd Qu.:183.25
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel350 pixel351 pixel352 pixel353
## Min. : 0.00 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 4.00 Median : 50.0 Median :102.0 Median :124.5
## Mean : 88.65 Mean :102.7 Mean :117.5 Mean :123.4
## 3rd Qu.:224.00 3rd Qu.:246.2 3rd Qu.:251.0 3rd Qu.:252.0
## Max. :255.00 Max. :255.0 Max. :255.0 Max. :255.0
## pixel354 pixel355 pixel356 pixel357
## Min. : 0.0 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 64.0 Median : 0.00 Median : 0.00 Median : 0.00
## Mean :110.7 Mean : 83.63 Mean : 56.13 Mean : 37.95
## 3rd Qu.:249.2 3rd Qu.:197.75 3rd Qu.: 83.25 3rd Qu.: 0.00
## Max. :255.0 Max. :255.00 Max. :255.00 Max. :255.00
## pixel358 pixel359 pixel360 pixel361
## Min. : 0.00 Min. : 0.00 Min. : 0.000 Min. : 0.0000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.0000
## Median : 0.00 Median : 0.00 Median : 0.000 Median : 0.0000
## Mean : 23.87 Mean : 13.38 Mean : 4.894 Mean : 0.2964
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.0000
## Max. :255.00 Max. :255.00 Max. :255.000 Max. :177.0000
## pixel362 pixel363 pixel364 pixel365 pixel366
## Min. : 0.000000 Min. :0 Min. :0 Min. :0 Min. : 0.00000
## 1st Qu.: 0.000000 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.: 0.00000
## Median : 0.000000 Median :0 Median :0 Median :0 Median : 0.00000
## Mean : 0.007143 Mean :0 Mean :0 Mean :0 Mean : 0.08357
## 3rd Qu.: 0.000000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.00000
## Max. :10.000000 Max. :0 Max. :0 Max. :0 Max. :117.00000
## pixel367 pixel368 pixel369 pixel370
## Min. : 0.0000 Min. : 0.000 Min. : 0.000 Min. : 0.0
## 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.0
## Median : 0.0000 Median : 0.000 Median : 0.000 Median : 0.0
## Mean : 0.1921 Mean : 1.614 Mean : 9.877 Mean : 26.8
## 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.0
## Max. :233.0000 Max. :224.000 Max. :255.000 Max. :255.0
## pixel371 pixel372 pixel373 pixel374
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 12.50 Median : 16.50
## Mean : 50.28 Mean : 77.22 Mean : 93.64 Mean : 94.26
## 3rd Qu.: 44.25 3rd Qu.:192.00 3rd Qu.:229.25 3rd Qu.:230.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel375 pixel376 pixel377 pixel378
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 3.00 Median : 8.00 Median : 37.50 Median : 85.0
## Mean : 90.51 Mean : 87.75 Mean : 98.92 Mean :115.1
## 3rd Qu.:222.25 3rd Qu.:214.00 3rd Qu.:231.00 3rd Qu.:252.0
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel379 pixel380 pixel381 pixel382
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median :141.0 Median :174.5 Median :147.0 Median : 67.0
## Mean :130.1 Mean :138.0 Mean :131.5 Mean :110.3
## 3rd Qu.:253.0 3rd Qu.:253.0 3rd Qu.:252.0 3rd Qu.:252.0
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.0
## pixel383 pixel384 pixel385 pixel386
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 80.61 Mean : 54.45 Mean : 36.88 Mean : 23.35
## 3rd Qu.:189.50 3rd Qu.: 79.00 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel387 pixel388 pixel389 pixel390 pixel391
## Min. : 0.00 Min. : 0.000 Min. : 0.00 Min. :0 Min. :0
## 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.:0 1st Qu.:0
## Median : 0.00 Median : 0.000 Median : 0.00 Median :0 Median :0
## Mean : 14.48 Mean : 6.156 Mean : 0.92 Mean :0 Mean :0
## 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.:0 3rd Qu.:0
## Max. :255.00 Max. :255.000 Max. :252.00 Max. :0 Max. :0
## pixel392 pixel393 pixel394 pixel395
## Min. :0 Min. :0 Min. : 0.00000 Min. : 0.0000
## 1st Qu.:0 1st Qu.:0 1st Qu.: 0.00000 1st Qu.: 0.0000
## Median :0 Median :0 Median : 0.00000 Median : 0.0000
## Mean :0 Mean :0 Mean : 0.09143 Mean : 0.2457
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.00000 3rd Qu.: 0.0000
## Max. :0 Max. :0 Max. :128.00000 Max. :109.0000
## pixel396 pixel397 pixel398 pixel399
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 1.91 Mean : 11.35 Mean : 29.28 Mean : 53.84
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 73.50
## Max. :253.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel400 pixel401 pixel402 pixel403
## Min. : 0.00 Min. : 0.00 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 24.5 Median : 19.0
## Mean : 77.65 Mean : 93.66 Mean : 96.8 Mean : 94.8
## 3rd Qu.:189.50 3rd Qu.:233.00 3rd Qu.:234.0 3rd Qu.:231.2
## Max. :255.00 Max. :255.00 Max. :255.0 Max. :255.0
## pixel404 pixel405 pixel406 pixel407
## Min. : 0.00 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 39.00 Median :110.0 Median :164.5 Median :187.5
## Mean : 99.66 Mean :119.4 Mean :134.7 Mean :143.5
## 3rd Qu.:232.00 3rd Qu.:252.0 3rd Qu.:253.0 3rd Qu.:253.0
## Max. :255.00 Max. :255.0 Max. :255.0 Max. :255.0
## pixel408 pixel409 pixel410 pixel411
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.00
## Median :172.0 Median :143.5 Median : 64.0 Median : 0.00
## Mean :140.1 Mean :129.2 Mean :108.3 Mean : 77.19
## 3rd Qu.:253.0 3rd Qu.:253.0 3rd Qu.:249.2 3rd Qu.:167.00
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.00
## pixel412 pixel413 pixel414 pixel415
## Min. : 0.00 Min. : 0.0 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 0.0 Median : 0.00 Median : 0.0
## Mean : 54.66 Mean : 37.1 Mean : 24.16 Mean : 15.1
## 3rd Qu.: 80.75 3rd Qu.: 0.0 3rd Qu.: 0.00 3rd Qu.: 0.0
## Max. :255.00 Max. :255.0 Max. :255.00 Max. :255.0
## pixel416 pixel417 pixel418 pixel419 pixel420
## Min. : 0.000 Min. : 0.0000 Min. :0 Min. :0 Min. :0
## 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median : 0.000 Median : 0.0000 Median :0 Median :0 Median :0
## Mean : 6.881 Mean : 0.9286 Mean :0 Mean :0 Mean :0
## 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :255.000 Max. :252.0000 Max. :0 Max. :0 Max. :0
## pixel421 pixel422 pixel423 pixel424
## Min. :0 Min. : 0.00000 Min. : 0.0000 Min. : 0.000
## 1st Qu.:0 1st Qu.: 0.00000 1st Qu.: 0.0000 1st Qu.: 0.000
## Median :0 Median : 0.00000 Median : 0.0000 Median : 0.000
## Mean :0 Mean : 0.07214 Mean : 0.6586 Mean : 3.367
## 3rd Qu.:0 3rd Qu.: 0.00000 3rd Qu.: 0.0000 3rd Qu.: 0.000
## Max. :0 Max. :101.00000 Max. :241.0000 Max. :255.000
## pixel425 pixel426 pixel427 pixel428
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.0
## Mean : 14.21 Mean : 30.41 Mean : 51.24 Mean : 73.9
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 50.25 3rd Qu.:178.0
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel429 pixel430 pixel431 pixel432
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 4.50 Median : 22.50 Median : 58.0
## Mean : 87.26 Mean : 94.08 Mean : 96.87 Mean :106.6
## 3rd Qu.:213.25 3rd Qu.:232.00 3rd Qu.:238.25 3rd Qu.:247.2
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel433 pixel434 pixel435 pixel436
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median :137.0 Median :171.0 Median :164.0 Median :148.0
## Mean :126.6 Mean :139.1 Mean :139.3 Mean :131.6
## 3rd Qu.:253.0 3rd Qu.:253.0 3rd Qu.:253.0 3rd Qu.:253.0
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.0
## pixel437 pixel438 pixel439 pixel440
## Min. : 0.0 Min. : 0.0 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00
## Median :121.0 Median : 43.0 Median : 0.00 Median : 0.00
## Mean :121.6 Mean :100.9 Mean : 74.79 Mean : 55.49
## 3rd Qu.:252.0 3rd Qu.:236.0 3rd Qu.:175.00 3rd Qu.: 75.00
## Max. :255.0 Max. :255.0 Max. :255.00 Max. :255.00
## pixel441 pixel442 pixel443 pixel444
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.0
## Mean : 39.77 Mean : 25.61 Mean : 15.59 Mean : 6.5
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.0
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel445 pixel446 pixel447 pixel448
## Min. : 0.0000 Min. : 0.000000 Min. : 0.00000 Min. :0
## 1st Qu.: 0.0000 1st Qu.: 0.000000 1st Qu.: 0.00000 1st Qu.:0
## Median : 0.0000 Median : 0.000000 Median : 0.00000 Median :0
## Mean : 0.9564 Mean : 0.007143 Mean : 0.06071 Mean :0
## 3rd Qu.: 0.0000 3rd Qu.: 0.000000 3rd Qu.: 0.00000 3rd Qu.:0
## Max. :250.0000 Max. :10.000000 Max. :85.00000 Max. :0
## pixel449 pixel450 pixel451 pixel452 pixel453
## Min. :0 Min. :0 Min. : 0.000 Min. : 0.000 Min. : 0.00
## 1st Qu.:0 1st Qu.:0 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00
## Median :0 Median :0 Median : 0.000 Median : 0.000 Median : 0.00
## Mean :0 Mean :0 Mean : 1.148 Mean : 5.089 Mean : 15.96
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00
## Max. :0 Max. :0 Max. :255.000 Max. :255.000 Max. :255.00
## pixel454 pixel455 pixel456 pixel457
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 30.64 Mean : 48.52 Mean : 66.91 Mean : 80.36
## 3rd Qu.: 0.00 3rd Qu.: 41.00 3rd Qu.:135.50 3rd Qu.:199.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel458 pixel459 pixel460 pixel461
## Min. : 0.00 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 0.00 Median : 5.5 Median : 42.5 Median : 93.5
## Mean : 85.36 Mean : 89.8 Mean : 99.1 Mean :114.8
## 3rd Qu.:214.00 3rd Qu.:226.2 3rd Qu.:242.0 3rd Qu.:252.0
## Max. :255.00 Max. :255.0 Max. :255.0 Max. :255.0
## pixel462 pixel463 pixel464 pixel465
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median :117.0 Median :128.0 Median :109.5 Median : 79.0
## Mean :124.1 Mean :125.2 Mean :120.1 Mean :112.7
## 3rd Qu.:253.0 3rd Qu.:252.2 3rd Qu.:252.0 3rd Qu.:251.0
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.0
## pixel466 pixel467 pixel468 pixel469
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 25.50 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 94.14 Mean : 76.56 Mean : 57.87 Mean : 42.03
## 3rd Qu.:226.00 3rd Qu.:181.00 3rd Qu.: 94.25 3rd Qu.: 2.25
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel470 pixel471 pixel472 pixel473
## Min. : 0.00 Min. : 0.00 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.00 Median : 0.00 Median : 0.000 Median : 0.000
## Mean : 26.98 Mean : 13.75 Mean : 5.995 Mean : 1.003
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :255.00 Max. :255.00 Max. :254.000 Max. :251.000
## pixel474 pixel475 pixel476 pixel477 pixel478
## Min. : 0.0000 Min. : 0.000 Min. :0 Min. :0 Min. :0
## 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median : 0.0000 Median : 0.000 Median :0 Median :0 Median :0
## Mean : 0.1471 Mean : 0.125 Mean :0 Mean :0 Mean :0
## 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :206.0000 Max. :175.000 Max. :0 Max. :0 Max. :0
## pixel479 pixel480 pixel481 pixel482
## Min. : 0.000 Min. : 0.000 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.000 Median : 0.00 Median : 0.00
## Mean : 1.472 Mean : 5.994 Mean : 17.87 Mean : 32.18
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :254.000 Max. :255.000 Max. :255.00 Max. :255.00
## pixel483 pixel484 pixel485 pixel486
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 47.93 Mean : 61.16 Mean : 71.62 Mean : 74.26
## 3rd Qu.: 32.00 3rd Qu.:109.25 3rd Qu.:173.00 3rd Qu.:172.25
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel487 pixel488 pixel489 pixel490
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 32.50 Median : 66.0
## Mean : 77.11 Mean : 84.15 Mean : 98.83 Mean :110.0
## 3rd Qu.:185.00 3rd Qu.:208.25 3rd Qu.:239.25 3rd Qu.:251.2
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel491 pixel492 pixel493 pixel494
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.00
## Median : 87.0 Median : 79.0 Median : 63.0 Median : 17.00
## Mean :114.7 Mean :113.2 Mean :105.6 Mean : 93.87
## 3rd Qu.:252.0 3rd Qu.:252.0 3rd Qu.:241.0 3rd Qu.:230.00
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.00
## pixel495 pixel496 pixel497 pixel498
## Min. : 0.00 Min. : 0.00 Min. : 0.0 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.0 Median : 0.00
## Mean : 78.31 Mean : 59.12 Mean : 41.3 Mean : 25.02
## 3rd Qu.:192.25 3rd Qu.: 97.25 3rd Qu.: 3.0 3rd Qu.: 0.00
## Max. :255.00 Max. :255.00 Max. :255.0 Max. :255.00
## pixel499 pixel500 pixel501 pixel502
## Min. : 0.00 Min. : 0.000 Min. : 0.000 Min. : 0.00000
## 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00000
## Median : 0.00 Median : 0.000 Median : 0.000 Median : 0.00000
## Mean : 12.51 Mean : 5.693 Mean : 1.326 Mean : 0.03786
## 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00000
## Max. :255.00 Max. :255.000 Max. :217.000 Max. :53.00000
## pixel503 pixel504 pixel505 pixel506
## Min. :0.000000 Min. :0 Min. :0 Min. : 0.0000
## 1st Qu.:0.000000 1st Qu.:0 1st Qu.:0 1st Qu.: 0.0000
## Median :0.000000 Median :0 Median :0 Median : 0.0000
## Mean :0.006429 Mean :0 Mean :0 Mean : 0.1307
## 3rd Qu.:0.000000 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.0000
## Max. :9.000000 Max. :0 Max. :0 Max. :145.0000
## pixel507 pixel508 pixel509 pixel510
## Min. : 0.000 Min. : 0.000 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.000 Median : 0.00 Median : 0.00
## Mean : 1.741 Mean : 7.191 Mean : 21.07 Mean : 35.98
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.000 Max. :255.000 Max. :255.00 Max. :255.00
## pixel511 pixel512 pixel513 pixel514
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 48.56 Mean : 57.08 Mean : 65.22 Mean : 68.91
## 3rd Qu.: 25.25 3rd Qu.: 82.50 3rd Qu.:138.25 3rd Qu.:149.25
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel515 pixel516 pixel517 pixel518
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 12.00 Median : 47.5
## Mean : 72.27 Mean : 78.15 Mean : 91.86 Mean :104.8
## 3rd Qu.:167.25 3rd Qu.:187.00 3rd Qu.:233.00 3rd Qu.:250.0
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel519 pixel520 pixel521 pixel522
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.00
## Median : 75.0 Median : 97.5 Median : 63.0 Median : 20.50
## Mean :112.9 Mean :116.3 Mean :107.4 Mean : 94.79
## 3rd Qu.:252.0 3rd Qu.:251.0 3rd Qu.:246.0 3rd Qu.:230.50
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.00
## pixel523 pixel524 pixel525 pixel526
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.0
## Mean : 78.17 Mean : 58.11 Mean : 38.66 Mean : 22.2
## 3rd Qu.:192.00 3rd Qu.: 96.00 3rd Qu.: 0.00 3rd Qu.: 0.0
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel527 pixel528 pixel529 pixel530
## Min. : 0.00 Min. : 0.000 Min. : 0.00 Min. : 0.00000
## 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00000
## Median : 0.00 Median : 0.000 Median : 0.00 Median : 0.00000
## Mean : 11.41 Mean : 5.043 Mean : 1.24 Mean : 0.05571
## 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00000
## Max. :255.00 Max. :254.000 Max. :253.00 Max. :78.00000
## pixel531 pixel532 pixel533 pixel534 pixel535
## Min. :0 Min. :0 Min. :0 Min. : 0.0000 Min. : 0.000
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.: 0.0000 1st Qu.: 0.000
## Median :0 Median :0 Median :0 Median : 0.0000 Median : 0.000
## Mean :0 Mean :0 Mean :0 Mean : 0.3621 Mean : 1.911
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.0000 3rd Qu.: 0.000
## Max. :0 Max. :0 Max. :0 Max. :254.0000 Max. :255.000
## pixel536 pixel537 pixel538 pixel539
## Min. : 0.000 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 8.336 Mean : 23.52 Mean : 39.39 Mean : 50.96
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 41.50
## Max. :255.000 Max. :255.00 Max. :255.00 Max. :255.00
## pixel540 pixel541 pixel542 pixel543
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 60.02 Mean : 69.44 Mean : 74.39 Mean : 78.33
## 3rd Qu.:113.00 3rd Qu.:159.75 3rd Qu.:181.00 3rd Qu.:199.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel544 pixel545 pixel546 pixel547 pixel548
## Min. : 0.00 Min. : 0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 0.00 Median : 32 Median : 79.5 Median :111.0 Median :120.0
## Mean : 86.18 Mean :100 Mean :113.8 Mean :121.7 Mean :121.8
## 3rd Qu.:209.25 3rd Qu.:245 3rd Qu.:252.0 3rd Qu.:252.0 3rd Qu.:252.0
## Max. :255.00 Max. :255 Max. :255.0 Max. :255.0 Max. :255.0
## pixel549 pixel550 pixel551 pixel552
## Min. : 0 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 64 Median : 10.00 Median : 0.00 Median : 0.00
## Mean :110 Mean : 92.45 Mean : 72.86 Mean : 51.08
## 3rd Qu.:249 3rd Qu.:230.00 3rd Qu.:172.00 3rd Qu.: 47.50
## Max. :255 Max. :255.00 Max. :255.00 Max. :255.00
## pixel553 pixel554 pixel555 pixel556
## Min. : 0.00 Min. : 0.00 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.00 Median : 0.00 Median : 0.000 Median : 0.000
## Mean : 32.42 Mean : 18.61 Mean : 8.831 Mean : 4.126
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :255.00 Max. :255.00 Max. :255.000 Max. :254.000
## pixel557 pixel558 pixel559 pixel560 pixel561
## Min. : 0.000 Min. : 0.000 Min. :0 Min. :0 Min. :0
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median : 0.000 Median : 0.000 Median :0 Median :0 Median :0
## Mean : 1.407 Mean : 0.225 Mean :0 Mean :0 Mean :0
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :222.000 Max. :237.000 Max. :0 Max. :0 Max. :0
## pixel562 pixel563 pixel564 pixel565
## Min. : 0.0000 Min. : 0 Min. : 0.000 Min. : 0.00
## 1st Qu.: 0.0000 1st Qu.: 0 1st Qu.: 0.000 1st Qu.: 0.00
## Median : 0.0000 Median : 0 Median : 0.000 Median : 0.00
## Mean : 0.5871 Mean : 2 Mean : 8.076 Mean : 21.87
## 3rd Qu.: 0.0000 3rd Qu.: 0 3rd Qu.: 0.000 3rd Qu.: 0.00
## Max. :254.0000 Max. :255 Max. :255.000 Max. :255.00
## pixel566 pixel567 pixel568 pixel569
## Min. : 0.00 Min. : 0.00 Min. : 0.0 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.0 Median : 0.00
## Mean : 37.58 Mean : 53.53 Mean : 66.5 Mean : 78.75
## 3rd Qu.: 0.00 3rd Qu.: 65.00 3rd Qu.:142.8 3rd Qu.:200.25
## Max. :255.00 Max. :255.00 Max. :255.0 Max. :255.00
## pixel570 pixel571 pixel572 pixel573
## Min. : 0.00 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 0.00 Median : 10.0 Median : 45.0 Median :101.0
## Mean : 87.17 Mean : 94.8 Mean :103.4 Mean :118.2
## 3rd Qu.:225.00 3rd Qu.:233.0 3rd Qu.:247.2 3rd Qu.:252.0
## Max. :255.00 Max. :255.0 Max. :255.0 Max. :255.0
## pixel574 pixel575 pixel576 pixel577
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median :143.0 Median :144.0 Median :118.5 Median : 44.5
## Mean :128.9 Mean :129.9 Mean :121.2 Mean :105.2
## 3rd Qu.:252.2 3rd Qu.:253.0 3rd Qu.:252.0 3rd Qu.:249.0
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.0
## pixel578 pixel579 pixel580 pixel581
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 81.87 Mean : 60.55 Mean : 39.49 Mean : 23.84
## 3rd Qu.:199.00 3rd Qu.:114.00 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel582 pixel583 pixel584 pixel585
## Min. : 0.00 Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.00 Median : 0.000 Median : 0.000 Median : 0.000
## Mean : 12.71 Mean : 6.106 Mean : 2.789 Mean : 1.078
## 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :255.00 Max. :255.000 Max. :255.000 Max. :253.000
## pixel586 pixel587 pixel588 pixel589 pixel590
## Min. : 0.00 Min. :0 Min. :0 Min. :0 Min. : 0.0000
## 1st Qu.: 0.00 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.: 0.0000
## Median : 0.00 Median :0 Median :0 Median :0 Median : 0.0000
## Mean : 0.25 Mean :0 Mean :0 Mean :0 Mean : 0.3964
## 3rd Qu.: 0.00 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.0000
## Max. :184.00 Max. :0 Max. :0 Max. :0 Max. :255.0000
## pixel591 pixel592 pixel593 pixel594
## Min. : 0.000 Min. : 0.000 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.000 Median : 0.00 Median : 0.00
## Mean : 2.039 Mean : 6.502 Mean : 17.49 Mean : 32.87
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :253.000 Max. :255.000 Max. :255.00 Max. :255.00
## pixel595 pixel596 pixel597 pixel598
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 25.50
## Mean : 52.56 Mean : 69.23 Mean : 83.82 Mean : 97.11
## 3rd Qu.: 62.50 3rd Qu.:156.25 3rd Qu.:208.00 3rd Qu.:237.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel599 pixel600 pixel601 pixel602
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median : 65.0 Median :103.5 Median :134.0 Median :157.5
## Mean :108.3 Mean :118.8 Mean :129.1 Mean :135.5
## 3rd Qu.:248.0 3rd Qu.:252.0 3rd Qu.:252.0 3rd Qu.:253.0
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.0
## pixel603 pixel604 pixel605 pixel606
## Min. : 0.0 Min. : 0.0 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00
## Median :131.0 Median : 75.5 Median : 12.00 Median : 0.00
## Mean :127.1 Mean :111.0 Mean : 89.64 Mean : 64.42
## 3rd Qu.:252.0 3rd Qu.:250.2 3rd Qu.:214.00 3rd Qu.:127.25
## Max. :255.0 Max. :255.0 Max. :255.00 Max. :255.00
## pixel607 pixel608 pixel609 pixel610
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.000
## Mean : 45.08 Mean : 28.16 Mean : 15.66 Mean : 8.261
## 3rd Qu.: 17.25 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.000
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.000
## pixel611 pixel612 pixel613 pixel614
## Min. : 0.000 Min. : 0.000 Min. : 0.0000 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 0.0000
## Median : 0.000 Median : 0.000 Median : 0.0000 Median : 0.0000
## Mean : 3.739 Mean : 1.817 Mean : 0.7086 Mean : 0.1207
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.: 0.0000
## Max. :255.000 Max. :255.000 Max. :253.0000 Max. :99.0000
## pixel615 pixel616 pixel617 pixel618 pixel619
## Min. :0 Min. :0 Min. :0 Min. : 0.0000 Min. : 0.000
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.: 0.0000 1st Qu.: 0.000
## Median :0 Median :0 Median :0 Median : 0.0000 Median : 0.000
## Mean :0 Mean :0 Mean :0 Mean : 0.2771 Mean : 1.216
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.0000 3rd Qu.: 0.000
## Max. :0 Max. :0 Max. :0 Max. :249.0000 Max. :254.000
## pixel620 pixel621 pixel622 pixel623
## Min. : 0.000 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 4.555 Mean : 11.43 Mean : 24.34 Mean : 42.93
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 9.25
## Max. :255.000 Max. :255.00 Max. :255.00 Max. :255.00
## pixel624 pixel625 pixel626 pixel627
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 5.50 Median : 75.5
## Mean : 61.64 Mean : 80.71 Mean : 98.45 Mean :110.9
## 3rd Qu.:114.50 3rd Qu.:211.00 3rd Qu.:248.00 3rd Qu.:252.0
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel628 pixel629 pixel630 pixel631
## Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0.0
## 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0 1st Qu.: 0.0
## Median :119.0 Median :132.0 Median :118.0 Median : 61.5
## Mean :121.8 Mean :126.9 Mean :122.2 Mean :106.3
## 3rd Qu.:252.0 3rd Qu.:252.0 3rd Qu.:252.0 3rd Qu.:245.0
## Max. :255.0 Max. :255.0 Max. :255.0 Max. :255.0
## pixel632 pixel633 pixel634 pixel635
## Min. : 0.0 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 2.0 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 86.6 Mean : 64.12 Mean : 43.96 Mean : 28.41
## 3rd Qu.:215.0 3rd Qu.:129.00 3rd Qu.: 25.25 3rd Qu.: 0.00
## Max. :255.0 Max. :255.00 Max. :255.00 Max. :255.00
## pixel636 pixel637 pixel638 pixel639
## Min. : 0.00 Min. : 0.00 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.00 Median : 0.00 Median : 0.000 Median : 0.000
## Mean : 15.89 Mean : 9.19 Mean : 4.588 Mean : 1.682
## 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :255.00 Max. :255.00 Max. :255.000 Max. :255.000
## pixel640 pixel641 pixel642 pixel643
## Min. : 0.0000 Min. : 0.0000 Min. : 0.0000 Min. :0
## 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.:0
## Median : 0.0000 Median : 0.0000 Median : 0.0000 Median :0
## Mean : 0.7043 Mean : 0.2486 Mean : 0.1836 Mean :0
## 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.:0
## Max. :191.0000 Max. :130.0000 Max. :225.0000 Max. :0
## pixel644 pixel645 pixel646 pixel647 pixel648
## Min. :0 Min. :0 Min. : 0.00 Min. : 0.0000 Min. : 0.000
## 1st Qu.:0 1st Qu.:0 1st Qu.: 0.00 1st Qu.: 0.0000 1st Qu.: 0.000
## Median :0 Median :0 Median : 0.00 Median : 0.0000 Median : 0.000
## Mean :0 Mean :0 Mean : 0.05 Mean : 0.6864 Mean : 2.456
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.00 3rd Qu.: 0.0000 3rd Qu.: 0.000
## Max. :0 Max. :0 Max. :70.00 Max. :245.0000 Max. :254.000
## pixel649 pixel650 pixel651 pixel652
## Min. : 0.000 Min. : 0.00 Min. : 0.0 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.00
## Median : 0.000 Median : 0.00 Median : 0.0 Median : 0.00
## Mean : 5.996 Mean : 13.68 Mean : 26.9 Mean : 42.24
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.0 3rd Qu.: 6.75
## Max. :254.000 Max. :255.00 Max. :255.0 Max. :255.00
## pixel653 pixel654 pixel655 pixel656
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 25.0
## Mean : 60.42 Mean : 79.12 Mean : 94.08 Mean :101.1
## 3rd Qu.:112.25 3rd Qu.:193.00 3rd Qu.:242.00 3rd Qu.:247.2
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.0
## pixel657 pixel658 pixel659 pixel660
## Min. : 0.0 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 35.0 Median : 7.50 Median : 0.00 Median : 0.00
## Mean :101.1 Mean : 90.57 Mean : 73.66 Mean : 57.42
## 3rd Qu.:235.0 3rd Qu.:215.25 3rd Qu.:169.00 3rd Qu.: 93.25
## Max. :255.0 Max. :255.00 Max. :255.00 Max. :255.00
## pixel661 pixel662 pixel663 pixel664
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.000
## Mean : 39.18 Mean : 23.95 Mean : 14.15 Mean : 7.334
## 3rd Qu.: 6.00 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.000
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.000
## pixel665 pixel666 pixel667 pixel668
## Min. : 0.000 Min. : 0.000 Min. : 0.0000 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 0.0000
## Median : 0.000 Median : 0.000 Median : 0.0000 Median : 0.0000
## Mean : 4.154 Mean : 2.255 Mean : 0.8029 Mean : 0.1057
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.: 0.0000
## Max. :255.000 Max. :255.000 Max. :198.0000 Max. :90.0000
## pixel669 pixel670 pixel671 pixel672 pixel673
## Min. : 0.00000 Min. : 0.00000 Min. :0 Min. :0 Min. :0
## 1st Qu.: 0.00000 1st Qu.: 0.00000 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median : 0.00000 Median : 0.00000 Median :0 Median :0 Median :0
## Mean : 0.02214 Mean : 0.04071 Mean :0 Mean :0 Mean :0
## 3rd Qu.: 0.00000 3rd Qu.: 0.00000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :31.00000 Max. :57.00000 Max. :0 Max. :0 Max. :0
## pixel674 pixel675 pixel676 pixel677
## Min. :0 Min. : 0.0000 Min. : 0.000 Min. : 0.000
## 1st Qu.:0 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.: 0.000
## Median :0 Median : 0.0000 Median : 0.000 Median : 0.000
## Mean :0 Mean : 0.1964 Mean : 0.855 Mean : 2.029
## 3rd Qu.:0 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :0 Max. :138.0000 Max. :254.000 Max. :255.000
## pixel678 pixel679 pixel680 pixel681
## Min. : 0.000 Min. : 0.000 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.000 Median : 0.00 Median : 0.00
## Mean : 3.842 Mean : 8.544 Mean : 17.22 Mean : 27.52
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.000 Max. :255.000 Max. :255.00 Max. :255.00
## pixel682 pixel683 pixel684 pixel685
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 39.03 Mean : 49.74 Mean : 53.56 Mean : 53.76
## 3rd Qu.: 0.00 3rd Qu.: 38.50 3rd Qu.: 76.50 3rd Qu.: 72.25
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel686 pixel687 pixel688 pixel689
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.00 Median : 0.00 Median : 0.00
## Mean : 47.17 Mean : 39.52 Mean : 30.06 Mean : 19.25
## 3rd Qu.: 41.00 3rd Qu.: 0.00 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.00 Max. :255.00 Max. :255.00 Max. :255.00
## pixel690 pixel691 pixel692 pixel693
## Min. : 0.00 Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.00 Median : 0.000 Median : 0.000 Median : 0.000
## Mean : 11.67 Mean : 6.489 Mean : 3.755 Mean : 2.192
## 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :255.00 Max. :255.000 Max. :255.000 Max. :255.000
## pixel694 pixel695 pixel696 pixel697
## Min. : 0.000 Min. : 0.0000 Min. : 0.0000 Min. :0
## 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.:0
## Median : 0.000 Median : 0.0000 Median : 0.0000 Median :0
## Mean : 1.424 Mean : 0.5529 Mean : 0.1414 Mean :0
## 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.:0
## Max. :253.000 Max. :198.0000 Max. :198.0000 Max. :0
## pixel698 pixel699 pixel700 pixel701 pixel702 pixel703
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel704 pixel705 pixel706 pixel707
## Min. : 0.00 Min. : 0.0000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.00 Median : 0.0000 Median : 0.000 Median : 0.000
## Mean : 0.46 Mean : 0.7764 Mean : 1.034 Mean : 2.594
## 3rd Qu.: 0.00 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :255.00 Max. :251.0000 Max. :255.000 Max. :255.000
## pixel708 pixel709 pixel710 pixel711
## Min. : 0.000 Min. : 0.000 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.000 Median : 0.000 Median : 0.00 Median : 0.00
## Mean : 6.254 Mean : 8.863 Mean : 12.31 Mean : 14.48
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.000 Max. :255.000 Max. :255.00 Max. :255.00
## pixel712 pixel713 pixel714 pixel715
## Min. : 0.00 Min. : 0.0 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.00 1st Qu.: 0.00
## Median : 0.00 Median : 0.0 Median : 0.00 Median : 0.00
## Mean : 17.11 Mean : 18.6 Mean : 18.34 Mean : 16.88
## 3rd Qu.: 0.00 3rd Qu.: 0.0 3rd Qu.: 0.00 3rd Qu.: 0.00
## Max. :255.00 Max. :255.0 Max. :255.00 Max. :255.00
## pixel716 pixel717 pixel718 pixel719
## Min. : 0.00 Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.00 Median : 0.000 Median : 0.000 Median : 0.000
## Mean : 13.11 Mean : 8.382 Mean : 5.017 Mean : 3.126
## 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :255.00 Max. :254.000 Max. :254.000 Max. :254.000
## pixel720 pixel721 pixel722 pixel723
## Min. : 0.000 Min. : 0.00 Min. : 0.0000 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.0000 1st Qu.: 0.0000
## Median : 0.000 Median : 0.00 Median : 0.0000 Median : 0.0000
## Mean : 1.737 Mean : 0.96 Mean : 0.5329 Mean : 0.2386
## 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.0000 3rd Qu.: 0.0000
## Max. :254.000 Max. :253.00 Max. :253.0000 Max. :190.0000
## pixel724 pixel725 pixel726 pixel727 pixel728 pixel729
## Min. :0.000000 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0.000000 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0.000000 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0.002143 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0.000000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :3.000000 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel730 pixel731 pixel732 pixel733
## Min. :0 Min. :0 Min. : 0.0000 Min. : 0.000
## 1st Qu.:0 1st Qu.:0 1st Qu.: 0.0000 1st Qu.: 0.000
## Median :0 Median :0 Median : 0.0000 Median : 0.000
## Mean :0 Mean :0 Mean : 0.1821 Mean : 0.265
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.: 0.0000 3rd Qu.: 0.000
## Max. :0 Max. :0 Max. :255.0000 Max. :199.000
## pixel734 pixel735 pixel736 pixel737
## Min. : 0.0000 Min. : 0.0000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.0000 Median : 0.0000 Median : 0.000 Median : 0.000
## Mean : 0.2679 Mean : 0.7429 Mean : 1.789 Mean : 2.231
## 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :253.0000 Max. :249.0000 Max. :255.000 Max. :254.000
## pixel738 pixel739 pixel740 pixel741
## Min. : 0.000 Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.000 Median : 0.000 Median : 0.000 Median : 0.000
## Mean : 4.281 Mean : 5.801 Mean : 6.252 Mean : 6.469
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :254.000 Max. :255.000 Max. :255.000 Max. :254.000
## pixel742 pixel743 pixel744 pixel745
## Min. : 0.000 Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 0.000 Median : 0.000 Median : 0.000 Median : 0.000
## Mean : 6.386 Mean : 5.587 Mean : 4.176 Mean : 3.354
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.000
## Max. :255.000 Max. :255.000 Max. :255.000 Max. :253.000
## pixel746 pixel747 pixel748 pixel749
## Min. : 0.000 Min. : 0.000 Min. : 0.00 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.0000
## Median : 0.000 Median : 0.000 Median : 0.00 Median : 0.0000
## Mean : 2.123 Mean : 1.201 Mean : 0.71 Mean : 0.4471
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00 3rd Qu.: 0.0000
## Max. :254.000 Max. :254.000 Max. :254.00 Max. :242.0000
## pixel750 pixel751 pixel752 pixel753
## Min. : 0.0000 Min. : 0.0000 Min. :0.000000 Min. :0
## 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.:0.000000 1st Qu.:0
## Median : 0.0000 Median : 0.0000 Median :0.000000 Median :0
## Mean : 0.3614 Mean : 0.2786 Mean :0.003571 Mean :0
## 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.:0.000000 3rd Qu.:0
## Max. :253.0000 Max. :253.0000 Max. :5.000000 Max. :0
## pixel754 pixel755 pixel756 pixel757 pixel758 pixel759
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel760 pixel761 pixel762 pixel763 pixel764
## Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median :0 Median :0 Median :0 Median :0 Median :0
## Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel765 pixel766 pixel767 pixel768
## Min. : 0.00000 Min. : 0.0000 Min. : 0.0000 Min. : 0.0000
## 1st Qu.: 0.00000 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.: 0.0000
## Median : 0.00000 Median : 0.0000 Median : 0.0000 Median : 0.0000
## Mean : 0.07786 Mean : 0.2857 Mean : 0.2514 Mean : 0.4493
## 3rd Qu.: 0.00000 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.: 0.0000
## Max. :109.00000 Max. :221.0000 Max. :201.0000 Max. :227.0000
## pixel769 pixel770 pixel771 pixel772
## Min. : 0.00 Min. : 0.0000 Min. : 0.00000 Min. : 0.0000
## 1st Qu.: 0.00 1st Qu.: 0.0000 1st Qu.: 0.00000 1st Qu.: 0.0000
## Median : 0.00 Median : 0.0000 Median : 0.00000 Median : 0.0000
## Mean : 0.56 Mean : 0.3486 Mean : 0.08214 Mean : 0.2757
## 3rd Qu.: 0.00 3rd Qu.: 0.0000 3rd Qu.: 0.00000 3rd Qu.: 0.0000
## Max. :216.00 Max. :230.0000 Max. :73.00000 Max. :193.0000
## pixel773 pixel774 pixel775 pixel776
## Min. : 0.0000 Min. : 0.0000 Min. : 0.0000 Min. : 0.0000
## 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.: 0.0000 1st Qu.: 0.0000
## Median : 0.0000 Median : 0.0000 Median : 0.0000 Median : 0.0000
## Mean : 0.5214 Mean : 0.4571 Mean : 0.1814 Mean : 0.1143
## 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.: 0.0000 3rd Qu.: 0.0000
## Max. :252.0000 Max. :226.0000 Max. :254.0000 Max. :160.0000
## pixel777 pixel778 pixel779 pixel780 pixel781 pixel782
## Min. : 0.00000 Min. :0 Min. :0 Min. :0 Min. :0 Min. :0
## 1st Qu.: 0.00000 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0 1st Qu.:0
## Median : 0.00000 Median :0 Median :0 Median :0 Median :0 Median :0
## Mean : 0.01214 Mean :0 Mean :0 Mean :0 Mean :0 Mean :0
## 3rd Qu.: 0.00000 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0 3rd Qu.:0
## Max. :17.00000 Max. :0 Max. :0 Max. :0 Max. :0 Max. :0
## pixel783
## Min. :0
## 1st Qu.:0
## Median :0
## Mean :0
## 3rd Qu.:0
## Max. :0digit_data <- na.omit(digit_data)
digit_data$label <- as.factor(digit_data$label)
set.seed(7)
sampleset <- (sample(nrow(digit_data),1000))
train_data <- digit_data[sampleset,]
test_data <- digit_data[-sampleset,]
unlabeled_td <- test_data[,-1]
variances <- nearZeroVar(train_data)
filtered <- train_data[,-variances]set.seed(7)
repeat_cv_ctrl <- trainControl(method="repeatedcv", number=10, repeats=3)
knn_fit_model <- train(label~., data=filtered, method = "knn", preProcess=c("center", "scale"), trControl= repeat_cv_ctrl)
knn_fit_model$results[2]## Accuracy
## 1 0.8677063
## 2 0.8650887
## 3 0.8673535knn_Predict <- predict(knn_fit_model, unlabeled_td)
knn_Predict## [1] 7 1 2 4 8 7 6 9 9 5 9 4 0 1 2 9 1 1 2 9 6 8 6 9 5 9 9 1 7 1 5 7 7 0 7 1 8
## [38] 4 4 2 6 8 6 4 4 7 1 1 2 1 5 1 1 3 8 7 7 0 2 7 5 7 0 0 2 9 9 9 7 1 1 6 9 0
## [75] 0 9 3 6 3 0 8 5 7 1 0 0 7 3 7 6 7 3 4 0 7 9 0 2 3 6 6 4 6 0 9 3 2 6 5 0 5
## [112] 1 5 8 2 3 7 3 3 3 6 5 1 0 1 9 9 9 5 7 0 6 1 6 2 5 1 9 4 6 0 3 6 4 3 9 1 4
## [149] 8 6 2 8 4 0 8 7 9 9 5 1 3 6 2 1 0 2 1 6 2 0 2 3 6 6 3 5 1 1 1 3 2 6 3 8 3
## [186] 2 8 4 2 9 1 6 5 2 2 7 8 6 5 3 5 1 8 1 9 0 4 0 9 8 1 0 1 7 8 8 7 6 7 1 3 6
## [223] 8 9 9 2 9 8 0 7 1 8 5 6 4 6 7 7 2 1 1 1 1 4 1 5 8 9 1 7 7 1 4 5 6 6 8 3 9
## [260] 5 1 3 8 3 5 8 3 2 2 7 6 2 7 6 8 5 2 6 7 1 9 7 1 3 5 1 4 0 5 3 4 7 0 2 6 9
## [297] 8 7 0 7 9 5 3 3 2 6 5 3 2 6 6 9 7 1 8 3 7 9 5 3 1 1 3 1 3 3 5 1 1 7 5 0 7
## [334] 2 3 0 2 9 3 5 3 2 3 4 0 0 1 5 9 4 4 9 3 1 2 8 6 2 1 4 0 9 0 2 9 1 9 3 5 1
## [371] 0 5 3 0 9 5 0 1 0 3 9 3 9 4 7 2 9 9 3 6 8 1 2 8 9 1 1 4 8 9
## Levels: 0 1 2 3 4 5 6 7 8 9cf_KNN<- confusionMatrix(knn_Predict, test_data$label)set.seed(7)
model_bag <- train(label~., data=filtered, method ="treebag", trControl= repeat_cv_ctrl)
model_bag## Bagged CART
##
## 1000 samples
## 296 predictor
## 10 classes: '0', '1', '2', '3', '4', '5', '6', '7', '8', '9'
##
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 3 times)
## Summary of sample sizes: 899, 897, 900, 900, 899, 901, ...
## Resampling results:
##
## Accuracy Kappa
## 0.8380301 0.8198202predict_bag <- predict(model_bag, unlabeled_td)
cf_RFB<- confusionMatrix(predict_bag, test_data$label)rf_model <- randomForest(label~., filtered, importance= TRUE)
rf_model##
## Call:
## randomForest(formula = label ~ ., data = filtered, importance = TRUE)
## Type of random forest: classification
## Number of trees: 500
## No. of variables tried at each split: 17
##
## OOB estimate of error rate: 9.9%
## Confusion matrix:
## 0 1 2 3 4 5 6 7 8 9 class.error
## 0 103 0 0 0 0 0 1 0 1 0 0.01904762
## 1 0 110 0 1 0 1 0 0 1 0 0.02654867
## 2 0 1 68 1 1 0 6 4 5 1 0.21839080
## 3 0 1 2 82 0 5 0 1 1 0 0.10869565
## 4 0 0 0 0 85 0 3 0 1 11 0.15000000
## 5 2 0 0 3 1 86 1 0 1 0 0.08510638
## 6 0 3 1 0 1 3 98 0 0 0 0.07547170
## 7 1 3 0 0 1 0 0 89 1 2 0.08247423
## 8 0 1 1 8 1 1 1 0 81 2 0.15625000
## 9 1 2 0 2 5 0 0 1 0 99 0.10000000rf_predict <- predict(rf_model, unlabeled_td)
rf_predict## 1 2 8 11 15 17 22 28 33 35 38 39 42 45 46 49
## 7 1 2 4 8 7 6 9 9 5 7 4 0 1 2 8
## 50 55 56 57 59 60 62 66 69 73 76 89 96 101 103 104
## 2 1 2 4 6 8 6 5 5 4 9 1 8 1 5 7
## 108 114 116 119 121 124 125 127 130 131 133 136 137 147 148 151
## 7 0 2 1 8 4 4 2 6 8 6 4 4 7 1 1
## 152 153 155 156 157 159 165 166 175 182 188 191 192 193 194 199
## 2 1 8 1 1 3 8 7 7 0 2 7 5 7 0 0
## 202 208 212 219 221 227 228 231 232 237 240 241 243 245 248 250
## 6 4 9 9 7 1 1 6 9 0 0 9 3 6 3 0
## 251 253 254 255 261 275 276 289 293 294 295 298 302 305 306 310
## 8 5 7 1 0 0 7 3 3 6 7 3 4 0 7 9
## 312 313 318 324 325 326 327 328 329 332 333 341 344 345 346 351
## 8 2 3 6 6 4 6 0 7 3 2 6 9 0 5 1
## 356 358 359 361 369 371 373 374 395 403 408 413 415 417 420 428
## 5 8 2 3 7 3 3 3 6 5 1 0 1 4 9 9
## 437 443 444 446 447 449 455 458 463 464 466 469 472 474 483 484
## 5 7 0 6 1 5 2 5 1 9 4 6 0 3 6 4
## 485 487 489 494 496 501 505 510 511 512 517 520 524 532 534 538
## 5 9 1 4 8 6 2 8 4 6 8 7 4 9 5 1
## 539 545 547 549 555 558 561 563 572 579 584 587 589 591 599 605
## 3 6 2 1 0 2 1 0 8 0 2 0 0 6 3 5
## 609 613 614 619 622 623 628 639 640 648 649 655 656 657 663 667
## 1 1 1 3 2 6 3 8 3 2 8 4 2 9 1 6
## 674 675 676 679 681 682 685 692 694 695 697 699 707 711 717 720
## 5 2 2 7 8 6 5 3 5 1 8 1 9 0 0 0
## 724 735 740 742 745 746 747 763 768 771 772 775 777 782 784 785
## 4 8 1 0 1 7 8 8 7 6 7 4 3 6 8 9
## 786 788 797 801 805 806 808 810 811 818 820 822 824 831 843 847
## 9 2 9 8 0 7 1 8 5 6 4 6 7 7 2 1
## 851 854 855 858 868 869 873 876 877 878 887 890 893 894 907 913
## 1 5 1 4 1 5 8 9 1 7 3 2 4 5 6 2
## 919 924 927 928 929 930 933 937 942 946 949 950 954 956 961 962
## 8 3 9 8 1 3 9 3 5 5 3 2 2 2 6 2
## 963 964 965 968 969 970 975 980 984 985 987 990 991 993 995 1000
## 7 6 8 3 2 6 9 1 9 7 2 3 5 1 4 0
## 1003 1013 1021 1022 1044 1047 1048 1049 1052 1053 1055 1058 1064 1066 1069 1082
## 8 3 4 7 0 2 6 9 8 7 0 7 4 3 3 8
## 1086 1089 1094 1095 1098 1102 1103 1104 1105 1106 1108 1109 1110 1116 1122 1125
## 2 6 5 3 2 6 6 9 7 1 8 3 7 9 5 3
## 1128 1132 1135 1141 1147 1151 1152 1153 1156 1160 1167 1173 1175 1176 1178 1187
## 1 1 5 1 3 3 5 1 1 7 5 0 7 2 3 0
## 1189 1191 1194 1197 1204 1205 1207 1209 1210 1213 1214 1218 1219 1221 1226 1227
## 2 9 3 5 3 2 3 4 0 0 1 5 9 4 4 4
## 1231 1235 1238 1241 1244 1250 1273 1275 1276 1277 1278 1280 1282 1287 1291 1293
## 3 1 8 8 6 2 1 4 0 5 0 2 9 1 4 3
## 1296 1298 1308 1310 1312 1313 1314 1315 1318 1321 1324 1325 1329 1338 1342 1344
## 3 7 0 5 3 0 9 5 0 1 0 3 9 3 9 4
## 1348 1356 1359 1361 1368 1373 1375 1383 1384 1387 1390 1391 1392 1396 1397 1400
## 7 2 4 4 3 8 8 1 2 8 9 1 1 4 8 9
## Levels: 0 1 2 3 4 5 6 7 8 9cf_RF<- confusionMatrix(rf_predict, test_data$label)set.seed(7)
svm_linear_model <- train(label~., data= filtered,
method= "svmLinear",
trControl = repeat_cv_ctrl)
svm_linear_model## Support Vector Machines with Linear Kernel
##
## 1000 samples
## 296 predictor
## 10 classes: '0', '1', '2', '3', '4', '5', '6', '7', '8', '9'
##
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 3 times)
## Summary of sample sizes: 899, 897, 900, 900, 899, 901, ...
## Resampling results:
##
## Accuracy Kappa
## 0.8838139 0.8707638
##
## Tuning parameter 'C' was held constant at a value of 1svm_linear_prediction <- predict(svm_linear_model, unlabeled_td)
cf_SVMLinear<-confusionMatrix(svm_linear_prediction, test_data$label)set.seed(7)
svm_matrix_model <- train(label~., data= filtered,
method= "svmRadial",
trControl = repeat_cv_ctrl)
svm_matrix_prediction <- predict(svm_matrix_model, unlabeled_td)
cf_SVMatrix<-confusionMatrix(svm_matrix_prediction, test_data$label)set.seed(7)
rpart_model <- train(label~., filtered, method="rpart", tuneLength=15,
trControl=repeat_cv_ctrl)
rpart_predict <- predict(rpart_model, unlabeled_td)
cf_Rpart <- confusionMatrix(rpart_predict, test_data$label)modelNames <- c("KNN", "Random Forest Bag", "Random Forest", "SVM Linear", "SVM Matrix", "RPart")
modelAccuracy <- c(cf_KNN$overall['Accuracy'], cf_RFB$overall['Accuracy'], cf_RF$overall['Accuracy'],
cf_SVMLinear$overall['Accuracy'], cf_SVMatrix$overall['Accuracy'], cf_Rpart$overall['Accuracy'])
model_DF <- data.frame(modelNames, modelAccuracy)model_DF