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.
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?