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statistics 3. An English instructor has given the same pretest and the same fina

ID: 3370059 • Letter: S

Question

statistics

3. An English instructor has given the same pretest and the same final examination each semester for several years. He is interested in determining if there is a relationship between the scores of the two tests. a. He computes the linear correlation coefficient and notes that r 1.14. What does this correlation coefficient value tell the instructor? b. A Statistics instructor is also curious and conducts the same research using pretest and final results. In this case the instructor obtained an r 82 What does this tell the statistics instructor?

Explanation / Answer

a) The linear correlation coefficient between two variables always lies between 0 and 1, since the person noted that r = 1.14, which is not possible.

b) If the instructor obtained an r = 0.82, if the correlation coefficient is computed properly, then this means there is a strong positive correlation between the scores of the two tests.