Setup
library(R.matlab)
## Warning: package 'R.matlab' was built under R version 4.0.3
## R.matlab v3.6.2 (2018-09-26) successfully loaded. See ?R.matlab for help.
##
## Attaching package: 'R.matlab'
## The following objects are masked from 'package:base':
##
## getOption, isOpen
library(ggplot2)
## Warning: package 'ggplot2' was built under R version 4.0.3
library(ggExtra)
## Warning: package 'ggExtra' was built under R version 4.0.3
library(GGally)
## Warning: package 'GGally' was built under R version 4.0.3
## Registered S3 method overwritten by 'GGally':
## method from
## +.gg ggplot2
library(gridExtra)
## Warning: package 'gridExtra' was built under R version 4.0.3
library(rgl)
## Warning: package 'rgl' was built under R version 4.0.3
knitr::knit_hooks$set(webgl = hook_webgl)
library(fmsb)
## Warning: package 'fmsb' was built under R version 4.0.3
library(aplpack)
## Warning: package 'aplpack' was built under R version 4.0.3
library(TeachingDemos)
## Warning: package 'TeachingDemos' was built under R version 4.0.3
##
## Attaching package: 'TeachingDemos'
## The following objects are masked from 'package:aplpack':
##
## faces, slider
Example 1 and Example 2
dollar_sales<-c(42,52,48,58)
number_books <-c(4,5,4,3)
Bookstore_sale<-cbind(dollar_sales, number_books)
colMeans(Bookstore_sale)
## dollar_sales number_books
## 50 4
cov(Bookstore_sale)
## dollar_sales number_books
## dollar_sales 45.33333 -2.0000000
## number_books -2.00000 0.6666667
cor(Bookstore_sale)
## dollar_sales number_books
## dollar_sales 1.0000000 -0.3638034
## number_books -0.3638034 1.0000000
Upload Datasets of Examples 1.4, 1.5, 1.6, 1.9, 1.10, 1.11
Bear_data<-readMat("Bear.mat")
## Warning in readMat("Bear.mat"): strings not representable in native encoding
## will be translated to UTF-8
attributes(Bear_data)
## $names
## [1] "Bear"
##
## $header
## $header$description
## [1] "MATLAB 5.0 MAT-file, Platform: PCWIN, Created on: Thu Jan 17 13:03:48 2008 "
##
## $header$version
## [1] "5"
##
## $header$endian
## [1] "little"
Bear<-Bear_data$Bear
Bear
## [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
## [1,] 1 48 59 95 82 141 157 168 183
## [2,] 2 59 68 102 102 140 168 174 170
## [3,] 3 61 77 93 107 145 162 172 177
## [4,] 4 54 43 104 104 146 159 176 171
## [5,] 5 100 145 185 247 150 158 168 175
## [6,] 6 68 82 95 118 142 140 178 189
## [7,] 7 68 95 109 111 139 171 176 175
write.csv(Bear, file="Bear.csv") # save the data as csv format in the working directory
Lizard.size<-readMat("Lizard_Size.mat")
attributes(Lizard.size)
## $names
## [1] "Data.all"
##
## $header
## $header$description
## [1] "MATLAB 5.0 MAT-file, Platform: PCWIN, Created on: Mon Jan 14 10:39:42 2008 "
##
## $header$version
## [1] "5"
##
## $header$endian
## [1] "little"
Lizard.size<-as.data.frame(Lizard.size$Data.all)
Lizard.size
## V1 V2 V3 V4 V5
## 1 1 5.526 59.0 113.5 0
## 2 2 10.401 75.0 142.0 1
## 3 3 9.213 69.0 124.0 0
## 4 4 8.953 67.5 124.0 0
## 5 5 7.063 62.0 129.5 1
## 6 6 6.610 62.0 123.0 0
## 7 7 11.273 74.0 140.0 1
## 8 8 2.447 47.0 97.0 0
## 9 9 15.493 86.5 162.0 1
## 10 10 9.004 69.0 126.5 0
## 11 11 8.199 70.5 136.0 1
## 12 12 6.601 64.5 116.0 0
## 13 13 7.622 67.5 135.0 1
## 14 14 10.067 73.0 136.5 1
## 15 15 10.091 73.0 135.5 1
## 16 16 10.999 77.0 139.0 1
## 17 17 7.610 61.5 118.0 0
## 18 18 7.733 66.5 133.5 1
## 19 19 12.015 79.5 150.0 1
## 20 20 10.049 74.0 137.0 1
## 21 21 5.149 59.5 116.0 0
## 22 22 9.158 68.0 123.0 0
## 23 23 12.132 75.0 141.0 1
## 24 24 6.978 66.5 117.0 0
## 25 25 6.890 63.0 117.0 0
write.csv(Lizard.size, file="Lizard_size.csv") # save the data as csv format in the working directory
playroll<-read.table("playroll.DAT")
playroll
## V1 V2
## 1 3497900 0.623
## 2 2485475 0.593
## 3 1782875 0.512
## 4 1725450 0.500
## 5 1645575 0.463
## 6 1469800 0.395
lumber <- read.table("lumber.DAT")
lumber
## V1 V2 V3 V4
## 1 1889 1651 1561 1778
## 2 2403 2048 2087 2197
## 3 2119 1700 1815 2222
## 4 1645 1627 1110 1533
## 5 1976 1916 1614 1883
## 6 1712 1712 1439 1546
## 7 1943 1685 1271 1671
## 8 2104 1820 1717 1874
## 9 2983 2794 2412 2581
## 10 1745 1600 1384 1508
## 11 1710 1591 1518 1667
## 12 2046 1907 1627 1898
## 13 1840 1841 1595 1741
## 14 1867 1685 1493 1678
## 15 1859 1649 1389 1714
## 16 1954 2149 1180 1281
## 17 1325 1170 1002 1176
## 18 1419 1371 1252 1308
## 19 1828 1634 1602 1755
## 20 1725 1594 1313 1646
## 21 2276 2189 1547 2111
## 22 1899 1614 1422 1477
## 23 1633 1513 1290 1516
## 24 2061 1867 1646 2037
## 25 1856 1493 1356 1533
## 26 1727 1412 1238 1469
## 27 2168 1896 1701 1834
## 28 1655 1675 1414 1597
## 29 2326 2301 2065 2234
## 30 1490 1382 1214 1284
paper_quality <- read.table("paper_quality.DAT")
paper_quality
## V1 V2 V3
## 1 0.801 121.41 70.42
## 2 0.824 127.70 72.47
## 3 0.841 129.20 78.20
## 4 0.816 131.80 74.89
## 5 0.840 135.10 71.21
## 6 0.842 131.50 78.39
## 7 0.820 126.70 69.02
## 8 0.802 115.10 73.10
## 9 0.828 130.80 79.28
## 10 0.819 124.60 76.48
## 11 0.826 118.31 70.25
## 12 0.802 114.20 72.88
## 13 0.810 120.30 68.23
## 14 0.802 115.70 68.12
## 15 0.832 117.51 71.62
## 16 0.796 109.81 53.10
## 17 0.759 109.10 50.85
## 18 0.770 115.10 51.68
## 19 0.759 118.31 50.60
## 20 0.772 112.60 53.51
## 21 0.806 116.20 56.53
## 22 0.803 118.00 70.70
## 23 0.845 131.00 74.35
## 24 0.822 125.70 68.29
## 25 0.971 126.10 72.10
## 26 0.816 125.80 70.64
## 27 0.836 125.50 76.33
## 28 0.815 127.80 76.75
## 29 0.822 130.50 80.33
## 30 0.822 127.90 75.68
## 31 0.843 123.90 78.54
## 32 0.824 124.10 71.91
## 33 0.788 120.80 68.22
## 34 0.782 107.40 54.42
## 35 0.795 120.70 70.41
## 36 0.805 121.91 73.68
## 37 0.836 122.31 74.93
## 38 0.788 110.60 53.52
## 39 0.772 103.51 48.93
## 40 0.776 110.71 53.67
## 41 0.758 113.80 52.42
Utility <- read.table("Utility.txt")
Utility
## V1 V2 V3 V4 V5 V6 V7 V8
## 1 1.06 9.2 151 54.4 1.6 9077 0.0 0.628
## 2 0.89 10.3 202 57.9 2.2 5088 25.3 1.555
## 3 1.43 15.4 113 53.0 3.4 9212 0.0 1.058
## 4 1.02 11.2 168 56.0 0.3 6423 34.3 0.700
## 5 1.49 8.8 192 51.2 1.0 3300 15.6 2.044
## 6 1.32 13.5 111 60.0 -2.2 11127 22.5 1.241
## 7 1.22 12.2 175 67.6 2.2 7642 0.0 1.652
## 8 1.10 9.2 245 57.0 3.3 13082 0.0 0.309
## 9 1.34 13.0 168 60.4 7.2 8406 0.0 0.862
## 10 1.12 12.4 197 53.0 2.7 6455 39.2 0.623
## 11 0.75 7.5 173 51.5 6.5 17441 0.0 0.768
## 12 1.13 10.9 178 62.0 3.7 6154 0.0 1.897
## 13 1.15 12.7 199 53.7 6.4 7179 50.2 0.527
## 14 1.09 12.0 96 49.8 1.4 9673 0.0 0.588
## 15 0.96 7.6 164 62.2 -0.1 6468 0.9 1.400
## 16 1.16 9.9 252 56.0 9.2 15991 0.0 0.620
## 17 0.76 6.4 136 61.9 9.0 5714 8.3 1.920
## 18 1.05 12.6 150 56.7 2.7 10140 0.0 1.108
## 19 1.16 11.7 104 54.0 -2.1 13507 0.0 0.636
## 20 1.20 11.8 148 59.9 3.5 7287 41.1 0.702
## 21 1.04 8.6 204 61.0 3.5 6650 0.0 2.116
## 22 1.07 9.3 174 54.3 5.9 10093 26.6 1.306
Example 1.4
par(mfrow=c(1,1))
plot(playroll[,1]/1000000, playroll[,2], xlab="Player payroll in millions of dollars", ylab="Won-lost percentage", ylim=c(0.35,0.7), col="blue", type="b")
![](data:image/png;base64,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)
Example 1.5
names(paper_quality)=c("Density", "Strength(MD)", "Strength(CD)" )
ggpairs(paper_quality, upper=list(continuous = "points", combo = "facethist", discrete = "facetbar", na = "na"))
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)
Example 1.6, Example 1.7, and EXample 1.9
names(Lizard.size)<-list("Lizard", "Mass", "SVL", "HLS", "Sex")
plot3d(Lizard.size[,2:4], size=5)
mycolors <- c('royalblue1', 'darkcyan')
Lizard.size$color<-mycolors[as.numeric(Lizard.size$Sex)+1]
plot3d(Lizard.size[,2:4], col=Lizard.size$color,size=5)
plot3d(lumber[,1:3], size=5)
plot3d(lumber[,2:4], size=5)
plot3d(lumber[,c(1:2,4)], size=5)
plot3d(lumber[,c(1,3:4)], size=5)
Example 1.10
plot(x=c(2:5), xlab="Year", ylab="Weight", y=Bear[1,3:6], ylim=c(50,270), type="b", lty=1, pch=1,col=1)
for (i in 2:7){
lines(x=c(2:5), y=Bear[i,2:5], ylim=c(50,270), type="b", lty=i,pch=i,col=i)
}
legend(2,250, c(1:7), cex=0.8, col=c(1:7), pch=1:7)
title(main="Combined growth curves for weight for seven female grizzly bears")
![](data:image/png;base64,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)
Example 1.11
stars(Utility)
![](data:image/png;base64,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)
Example 1.12
faces(Utility)
![](data:image/png;base64,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)
faces2(Utility)
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)