Question
Suppose we want to examine the relationship between scores on a popular standardized test and performance in college. We have chosen a random sample of
Suppose we want to examine the relationship between scores on a popular standardized test and performance in college. 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 the standardized test (from 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. A scatter plot of the data is shown in Figure 1.
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The value of the sample correlation coefficient r for these data is approximately 0.766
.Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.)
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