Back in the day, in a class of 25 students, a statistics professor created a linear regression to predict a student’s overall points earned on a test (y) from their score on one particular problem (x). She found that the regression line, framed as we usually do in class, was given by
y = 48.208 + 2.518(x − 8.625)
and that the sum of the squares of the differences of the actual values of y and the values predicted by the regression line was 1664.175. Use this information to calculate a 95% confidence interval for α.
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