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March 25, 2017

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In a large class, there were 220 students who wrote both the midterm and the final exam. The standard deviation of the midterm grades was 14, and that of the final exam was 20. The correlation between the grades on the midterm and the final was 0.60.

Based on the least squares regression line fitted to the data of the 220 students, if a student scored 21 points below the mean on the midterm, then how many points below the mean on the final would you predict her final exam grade to be?

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