verileri yükleme

ben verileri r olusturmak icin asagıdaki kodu kullandım.

x<-c(2,3,4,6,5,3)
y<-c(3,2,1,4,3,1)
veri<-data.frame(x,y)

verinin toplamı su sekilde bulunur

sum(x)
## [1] 23
sum(y)
## [1] 14

oralamalar

oralamanın fromülü asagıdadır

\[ \bar{x} = \frac{\sum_{i = 1}^n x_i}{n} \]

mean(x)
## [1] 3.833333
mean(y)
## [1] 2.333333

varyanslar ve standart sapmalar

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var(x)
## [1] 2.166667
var(y)
## [1] 1.466667
cov(x,y)
## [1] 0.8666667
cor(x,y)
## [1] 0.4861724
model<-lm(y~x)
summary(model)
## 
## Call:
## lm(formula = y ~ x)
## 
## Residuals:
##          1          2          3          4          5          6 
##  1.400e+00  9.992e-16 -1.400e+00  8.000e-01  2.000e-01 -1.000e+00 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)
## (Intercept)   0.8000     1.4602   0.548    0.613
## x             0.4000     0.3595   1.113    0.328
## 
## Residual standard error: 1.183 on 4 degrees of freedom
## Multiple R-squared:  0.2364, Adjusted R-squared:  0.04545 
## F-statistic: 1.238 on 1 and 4 DF,  p-value: 0.3282