Question : What is the correlation between a person's hair length and score on the midterm is very nearly zero. If your friend has a crewcut, your best guess as to what he got on the midterm is ?

The correlation between a person's hair length and score on the midterm is very nearly zero. If your friend has a crewcut, your best guess as to what he got on the midterm is the mean score If correlation is zero, there is no added information from the other variable (hair length. Your best guess is the Expected Value, or the mean.

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Suppose the mean on the final exam is 24 (of 40), with a standard deviation of 1.5. If you get a 21, how well do you do (relative to the rest of the class)?