Question: You are considering developing a truancy reduction intervention, but first, you are interested in confirming that the total number of days students are absent from

You are considering developing a truancy reduction intervention, but first, you are interested in confirming that the total number of days students are absent from high school actually correlates with their grade point averages (GPAs). You obtain school records that list the total absences and GPAs for 400 graduating seniors. You calculate the Pearson correlation coefficient, r = 0.81, and find a strong linear relationship. However, for the county to consider doing anything about this issue, it wants proof that at least 50% of variability in GPA can be explained by the relationship between the GPA and the total number of absences. Luckily, you can use r to calculate the coefficient of determination to determine the percentage variation explained by the relationship. The coefficient of determination for the relationship between the GPA and the total number of absences is

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