SOLUTION: Let x denote the exam scores of 10 students in Stat 230 and y the exam scores of 10 students in Stat 303. A reasonable value for r is (a) 0.7 (b) -0.7 (c) 0 (d) r is not appli

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Question 509918: Let x denote the exam scores of 10 students in Stat 230 and y the exam
scores of 10 students in Stat 303. A reasonable value for r is
(a) 0.7
(b) -0.7
(c) 0
(d) r is not applicable
'r' is the correlation coefficient right? But since the two are independent of each other I think the answer is c) 0? Is that the right way of thinking about it?

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


By saying , you are saying there is no correlation whatsoever between 10 students' scores in an intermediate Stat class as compared to 10 students' scores in an advanced Stat class.

Are the two truly independent of each other? Wouldn't you say that the the smart ones that bubble to the top in elementary and intermediate statistics would very likely continue to be more successful than their peers in the more advanced classes? Or looking at it the other way, what is the likelyhood that someone who is doing very well in advanced statistics is a person who struggled through the less difficult courses? That sort of empirical "gut feel" correlation has been my experience in every high school and college mathematics program with which I have been associated.

If I were answering the question, I would say a) 0.7.

John

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