3.68 RateMyProfessor.com The Web site RateMMyProfessors.com 13 reported s correl

Question

3.68 RateMyProfessor.com The Web site RateMMyProfessors.com 13 reported s correlation of 0.82 behween the quality rating of the professor (on a simple 1 to 5 scale with higher values representing higher quality) and the rating of how easy a grader the professor is. This correlation is based on ratings of nearly 7000 professors a. How would you interpret this correlation? b. What would you expect this correlation to equal if the quality rating did not tend to depend on the essiness rating of the professor?

Explanation / Answer

Part a

Answer:

The correlation coefficient between the quality rating of the professor and rating of how easy a grader the professor is given as 0.62. This means there is a considerable high linear relationship or association exists between two variables quality rating of the professor and rating of how easy a grader the professor is. The given correlation coefficient is based on large n = 7000, so coefficient is statistically more significant.

Part b

If the quality rating did not tend to depend on the easiness rating of the professor, then the coefficient of correlation would be decrease and we will get low and weak linear relationship exists between the given two variables such as quality rating of the professor and rating of how easy a grader the professor is.

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