Question

If Corr (X,Y)= 0.8 then the value Corr (Y, X)
w
0 A 0.8
0 B -0.8
O
0 C 0.64
O DO​

Answer 1

Answer:

is this ur question

Step-by-step explanation:

The coefficient correlation between x and y is 0.8, the covariance being 20. If the standard deviation of x is 4 find the standard deviation of y.

Answer 2

Answer:

A) 0.8

Step-by-step explanation:

Given:- Correlation coefficient of (X, Y ) = 0.8

To Find:- Correlation coefficient of (Y, X) .

Solution:-

We know that, if X and Y are the joint random variables then their covariance Cov (X, Y ) is defined by

                               Cov ( X, Y ) = E(XY) − $u_{x}u_{y}$

So, we can write that Cov ( Y, X ) = E( YX ) - $u_{y}u_{x}$

From the above mentioned equations, we can write that

                                Cov (X,Y) = Cov (Y,X)

We also know that Correlation coefficient of X and Y is given by

                             Corr ( X, Y ) = $\frac{Cov(X, Y)}{sd_{x}sd_{y} }$

                                                 = $\frac{Cov( Y, X)}{sd_{y}sd_{x} }$   [∵ Cov(X, Y) = Cov(Y, X)]

                                                 = Corr (Y, X)

Hence proved that Corr (X, Y) = Corr (Y, X)

Therefore, the correct option is A) 0.8

#SPJ3

To view similar content based problems visit the link below

https://brainly.in/question/8455023

https://brainly.in/question/22272177