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Suppose that you are interested in determining the relation between the students average SAT scores [x] and their freshman GPA [y]. You collect the results for 50 students. Your hypothesis is that the SAT scores explain some of the variation in GPA's of the students. After collecting your data, you obtain the following statistics:
The sum of y = 125.07
The sum of x = 24,448
The sum of y^2 = 457.86
The sum of x^2 = 22,559,284
The sum of xy = 84,683.7
[N = 50].
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