Covariance - Population Covariance, Sample Covariance calculator

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Home > Statistical Methods calculators > Covariance - Population Covariance, Sample Covariance calculator

Method and examples

Find Covariance - Population Covariance, Sample Covariance

Type your data in either horizontal or verical format,

OR

X & Y Class-X & Y

Rows :

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Correlation Coefficient r without cov(x,y)

Correlation Coefficient r with population cov(x,y)

Correlation Coefficient r with sample cov(x,y)

Population cov(x,y)

Sample cov(x,y)

`r` formula -

Auto Select method
Method-1 : `r = (n * sum xy - sum x * sum y)/(sqrt(n * sum x^2 - (sum x)^2) * sqrt(n * sum y^2 - (sum y)^2))`
Method-2 : `r = (sum (x-bar x)(y-bar y))/(sqrt(sum (x-bar x)^2) * sqrt(sum (y-bar y)^2))`
Or `r = (n * sum dxdy - sum dx * sum dy)/( sqrt(n * sum dx^2 - (sum dx)^2) * sqrt(n * sum dy^2 - (sum dy)^2))`

Class-X 2 - 4 4 - 6 6 - 8 8 - 10
Y 3 4 2 1
Class-X 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50
Y 110 170 80 45 40 35
Class-X 110 - 111 111 - 112 112 - 113 113 - 114 114 - 115 115 - 116 116 - 117 117 - 118 118 - 119
Y 600 640 640 680 700 780 830 900 1000
X 0 1 2 3 4
Y 1 5 10 6 3
X 3 4 6 7 10
Y 9 11 14 15 16
X 100 101 102 102 100 99 97 98 96 95
Y 98 99 99 97 95 92 95 94 90 91
X 23 27 28 29 30 31 33 35 36 39
Y 18 22 23 24 25 26 28 29 30 32
X 300 350 400 450 500 550 600 650 700
Y 800 900 1000 1100 1200 1300 1400 1500 1600
X 10 11 12 13 14
Y 3 12 18 12 3

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