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A study finds that the correlation between the number of students in a class and students’...

A study finds that the correlation between the number of students in a class and students’ grades in the class is r= -.65. What does this relationship suggest? What is the proportion of variance accounted for by the association? Should the college take any action based on this study? Explain why or why not.

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Answer #1

The correlation between the number of students in a class and students’ grades in the class is r= -.65. This correlation suggest that there is negative relationship between the number of students in a class and students’ grades. It means, as number of students in a class increases the students’ grades decreases.

The proportion of variance accounted for by the association is, r2 = (-0.65)2 = 0.4225

Yes, The college should take any action based on this study. because there is negative relationship between the number of students in a class and students’ grades. Actually the relationship between the number of students in a class and students’ grades should be positive.

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