Linear Correlation 11- Calculation of Population Covariance

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Linear Correlation (Correlation Analysis - Association between two variables)

Covariance:

Covariance is the mean or expected value of the products of the deviations of the two variables from their means.

Cov(x, y) = E[(X - X(X))(Y - E(Y))]
={[∑(x – Mean) (y – Mean)] / n}

Xi: 8 13 15 17 20 22 24 25
Yi: 25 30 32 30 36 40 42 45

Mean of X = 144 / = 18

Mean of Y = 280 / 8 = 35

∑(x – x) (y – y)] = 273

Population Cov(x, y) = E[(X - E(X))(Y - E(Y))]
={[∑(x – x) (y – y)] / N}
= 273 / 8 = 34.125

[gcumauma]

how to estimate population covariance from sample covariance

[rehanhusain]

How to know when we have to use population or when to use sample covariance formula ?

[vanshitaamin]

Respected sir here any rules for capital letters for defining variables and other?