The correlation coefficient between x and y is 0.85

Statement 1-then the correlation coefficient between x/2 and y/2 is 0.85/2

Statement 2-then the correlation coefficient between - X and Y is - 0.85

how are above two statements true?

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- Dec 1st 2012, 06:06 AMsagarmtecorrelation coefficient
The correlation coefficient between x and y is 0.85

Statement 1-then the correlation coefficient between x/2 and y/2 is 0.85/2

Statement 2-then the correlation coefficient between - X and Y is - 0.85

how are above two statements true? - Dec 1st 2012, 07:47 PMScopurRe: correlation coefficient
Use the definition of the correlation coefficient

and these properties

and .

Also i believe the first statement is not true. I get that and that

You can find the variance of the same way. Giving us that statement 1 is 0.85.