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A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless

We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (fromĀ 400 to 1600) and her grade point average (from 0 to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test and y denoting the first-year college grade point average. The least-squares regression line for these data is y = 0.9583 + 0.0016x

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