Question

The correlation between two scores X and Y equals 0.88. If both scores were converted to z-scores, then the correlation between the z-scores for X and z-scores for Y wouldbeA. -0.88B. 0.12C. 0.88D. -0.12E. 0.0

Answer 1

The correlation between the z-scores for x and for y is given by the following formula:

`Z=(X-\mu)/(\sigma)`

In this case:

`Corr(x,y)=0.88`

Therefore:

The correlation coefficient for the z-scores of x and y would be:

`Corr((X-\mu_X)/(\sigma_X),(Y-\mu_Y)/(\sigma_Y))`

And it is equal to:

`Corr(x,y)=0.88`

Answer: C. 0.88