Question

Correlation coefficient between x and y is 1, then correlation coefficient between x-2 and (-y/2) +1 is a) 1 b) -1 c) -1/2 d) 1/2

Answer 1

c option is answer okay ....

Answer 2

The answer is Option c)  $\frac{-1}{2}$.

Given:

The correlation coefficient between x and y is 1

To Find:

The correlation coefficient between $x-2$ and $\frac{-y}{2} +1$.

Solution:

As the correlation coefficient between x and y is 1, they are directly proportional, hence we can write

$y=x+c$ where c is a constant.

Therefore

$\frac{-y}{2} +1$$=\frac{-x-c}{2}+1$

$\frac{-y}{2}+1 = \frac{-x+2}{2} -\frac{c}{2}+1$

Hence the correlation coefficient between $x-2$ and $\frac{-y}{2} +1$ is $\frac{-1}{2}$.

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