If x, y are independent variable, then

C o v (x, y) = 1

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r_{x y} = 0

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r_{x y} = 1

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C o v (x, y) = 0

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Solution

The correct options are
B $r_{x y} = 0$
D $C o v (x, y) = 0$
Fact. If the variables are uncorrelated or independent then covariance
and coefficient of correlation between the variable both are equal to 0
i.e. $r_{x y} = C o v (x, y) = 0$

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Similar questions

If $r_{x y} = 0$ , the variable X and Y are

(a) linearly related

(b) not linearly related

If r_xy= 0 the variable X and Y are

(i) linearly related

(ii) not linearly related

(iii) independent

c o v (X, Y) = 1, v a r (X) = 1, v a r (Y) = 4

C o r (X, Y) =

C o v (X, Y) = 6

U = \frac{X - 1}{2}, V = \frac{Y - 2}{3}

c o v (U, V) =

Covariance of X and Y is given by the formula, Cov(X,Y) = ___

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