Question: A student fitted a linear regression function for a class assignment. The student plotted the residuals against responses and found positive relation. When the residuals

A student fitted a linear regression function for a class assignment. The student plotted the residuals against responses and found positive relation. When the residuals were plotted against the fitted values , the student found no relation. (a) How could the differences arise? Which is the more meaningful plot? (b) Support your answer by deriving the sample covariance Cov( , ) and Cov( , ).

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