install.packages("https://cran.rstudio.com/bin/windows/contrib/4.1/faraway_1.0.7.zip", repos = NULL)
## 將程式套件安載入 'C:/Users/user/Documents/R/win-library/4.1'
## (因為 'lib' 沒有被指定)
## package 'faraway' successfully unpacked and MD5 sums checked
library(faraway)
## Warning: 套件 'faraway' 是用 R 版本 4.1.2 來建造的
data("divusa")
head(divusa)
##   year divorce unemployed femlab marriage birth military
## 1 1920     8.0        5.2  22.70     92.0 117.9   3.2247
## 2 1921     7.2       11.7  22.79     83.0 119.8   3.5614
## 3 1922     6.6        6.7  22.88     79.7 111.2   2.4553
## 4 1923     7.1        2.4  22.97     85.2 110.5   2.2065
## 5 1924     7.2        5.0  23.06     80.3 110.9   2.2889
## 6 1925     7.2        3.2  23.15     79.2 106.6   2.1735
str(divusa)
## 'data.frame':    77 obs. of  7 variables:
##  $ year      : int  1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 ...
##  $ divorce   : num  8 7.2 6.6 7.1 7.2 7.2 7.5 7.8 7.8 8 ...
##  $ unemployed: num  5.2 11.7 6.7 2.4 5 3.2 1.8 3.3 4.2 3.2 ...
##  $ femlab    : num  22.7 22.8 22.9 23 23.1 ...
##  $ marriage  : num  92 83 79.7 85.2 80.3 79.2 78.7 77 74.1 75.5 ...
##  $ birth     : num  118 120 111 110 111 ...
##  $ military  : num  3.22 3.56 2.46 2.21 2.29 ...
summary(divusa)
##       year         divorce        unemployed         femlab     
##  Min.   :1920   Min.   : 6.10   Min.   : 1.200   Min.   :22.70  
##  1st Qu.:1939   1st Qu.: 8.70   1st Qu.: 4.200   1st Qu.:27.47  
##  Median :1958   Median :10.60   Median : 5.600   Median :37.10  
##  Mean   :1958   Mean   :13.27   Mean   : 7.173   Mean   :38.58  
##  3rd Qu.:1977   3rd Qu.:20.30   3rd Qu.: 7.500   3rd Qu.:47.80  
##  Max.   :1996   Max.   :22.80   Max.   :24.900   Max.   :59.30  
##     marriage          birth           military     
##  Min.   : 49.70   Min.   : 65.30   Min.   : 1.940  
##  1st Qu.: 61.90   1st Qu.: 68.90   1st Qu.: 3.469  
##  Median : 74.10   Median : 85.90   Median : 9.102  
##  Mean   : 72.97   Mean   : 88.89   Mean   :12.365  
##  3rd Qu.: 80.00   3rd Qu.:107.30   3rd Qu.:14.266  
##  Max.   :118.10   Max.   :122.90   Max.   :86.641
plot(divusa$divorce, divusa$unemployed)

hist(divusa$divorce)

library(lattice)
## 
## 載入套件:'lattice'
## 下列物件被遮斷自 'package:faraway':
## 
##     melanoma
histogram(~ divorce, data = divusa, xlab = 'year', ylab='rate',type = "density")

divusa_scores <- divusa[, c('divorce', 'unemployed', 'femlab', 'marriage', 'birth', 'military')]
pairs(divusa_scores, pch = '.', upper.panel = panel.smooth, lower.panel = NULL, 
      col = 'red')

round(cor(divusa$divorce,divusa$unemployed), 3)
## [1] -0.211
round(cor(divusa_scores), 3)
##            divorce unemployed femlab marriage  birth military
## divorce      1.000     -0.211  0.910   -0.534 -0.722    0.019
## unemployed  -0.211      1.000 -0.257   -0.271 -0.314   -0.400
## femlab       0.910     -0.257  1.000   -0.649 -0.604    0.051
## marriage    -0.534     -0.271 -0.649    1.000  0.674    0.258
## birth       -0.722     -0.314 -0.604    0.674  1.000    0.141
## military     0.019     -0.400  0.051    0.258  0.141    1.000
cor.test( ~ divorce + unemployed, data = divusa_scores)
## 
##  Pearson's product-moment correlation
## 
## data:  divorce and unemployed
## t = -1.8657, df = 75, p-value = 0.06599
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
##  -0.41500478  0.01403919
## sample estimates:
##        cor 
## -0.2106019
library(Hmisc)
## Warning: 套件 'Hmisc' 是用 R 版本 4.1.2 來建造的
## 載入需要的套件:survival
## 
## 載入套件:'survival'
## 下列物件被遮斷自 'package:faraway':
## 
##     rats, solder
## 載入需要的套件:Formula
## Warning: 套件 'Formula' 是用 R 版本 4.1.1 來建造的
## 載入需要的套件:ggplot2
## Warning: 套件 'ggplot2' 是用 R 版本 4.1.2 來建造的
## 
## 載入套件:'Hmisc'
## 下列物件被遮斷自 'package:base':
## 
##     format.pval, units
rcorr(as.matrix(divusa_scores), type="pearson")
##            divorce unemployed femlab marriage birth military
## divorce       1.00      -0.21   0.91    -0.53 -0.72     0.02
## unemployed   -0.21       1.00  -0.26    -0.27 -0.31    -0.40
## femlab        0.91      -0.26   1.00    -0.65 -0.60     0.05
## marriage     -0.53      -0.27  -0.65     1.00  0.67     0.26
## birth        -0.72      -0.31  -0.60     0.67  1.00     0.14
## military      0.02      -0.40   0.05     0.26  0.14     1.00
## 
## n= 77 
## 
## 
## P
##            divorce unemployed femlab marriage birth  military
## divorce            0.0660     0.0000 0.0000   0.0000 0.8726  
## unemployed 0.0660             0.0238 0.0172   0.0054 0.0003  
## femlab     0.0000  0.0238            0.0000   0.0000 0.6579  
## marriage   0.0000  0.0172     0.0000          0.0000 0.0234  
## birth      0.0000  0.0054     0.0000 0.0000          0.2216  
## military   0.8726  0.0003     0.6579 0.0234   0.2216