What is the appropriate correlation coefficient, and why?

You are asked to complete a study for a small school district that is trying to keep as many students at age-appropriate grade levels as possible. You have a measure of grade level and age for the students, as well as the following statistical programming output from a randomized independent sample:

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Correlations Pearson's r Age Grade * Correlation is significant at the 0.01 level (two-tailed). Pearson correlation Significance (two-tailed) N Pearson correlation Significance (two-tailed) N Age 1.000 108.000 0.382* 0.000 108 Grade 0.382* 0.000 108 1.000 108.000