I have a sample with two individuals and each is in a different population. One individual is x SDs above the one mean and the other is y SDs above the other mean. How do I take an average of x and y?
What I want to do is take a correlation coefficient, which I have, and multiply by the average standard deviation to compute a predicted regression towards the mean. I have data points on some variable for both individuals, but I need them to come from two separate population with different means. To make the problem clear, let each score 130 on some measurement. One comes from a population with a mean of 100 and the other from a population with a mean of 85. Let both populations have an SD of 15. One individual scores +2 SD and the other +3. I want an average of how high they score above the mean..