Question: First, examine whether the score on the freshmen final exam predicts sophomore GPA.

1. Convert the test scores ( X ) and the sophomore averages ( Y) to z scores.
2. By inspection of the paired z scores, estimate whether the correlation between these variables is positive, negative or zero. Then verify your estimate by computing r using the z score difference formula .
3. Now recompute r _xy by the Z score product formula to verify the result in (a) is the "same." (Note that, due to rounding, the result may not be exact. Hint : In this case, it differs by approximately .06.)
4. In one sentence, what does the result of the r _xy correlation coefficient mean to the dean?

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