Friday, 22 May 2015

How to find covariance, correlation coefficient, spearman's coefficient, regression line, estimated value, residual value for data stored in x, y.

> x=scan()    [enter x data]
1: 56
2: 47
3: 33
4: 39
5: 42
6: 38
7: 46
8: 47
9: 38
10: 32
11:
Read 10 items
> y=scan()         []enter y data]
1: 56
2: 83
3: 49
4: 52
5: 65
6: 52
7: 56
8: 48
9: 59
10: 70
11:
Read 10 items

> cov(x,y)        [to get covariance of x, y]
[1] 4.444444

> cor(x,y)           [to get correlation coefficient]
[1] 0.05560642
> cor(x,y,method="spearman")   [to get spearman's coefficient]
[1] -0.003067485
> model=lm(y~x)      [to fit regression equation]
> model

Call:                                         [result output]
lm(formula = y ~ x)

Coefficients:
(Intercept)            x 
   55.54260      0.08271 


> plot(x,y,col="red")            [plot x, y points]    
> abline(model,h=0,v=0,col="blue")  [plot regression line]
> model$fitted[6]                     [to get fitted value]
       6
58.68569
> model$residuals[6]                [to get residual value]
        6
-6.685691




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