(Answered) Suppose we have a sample of 50 observations

Statistics

Suppose we have a sample of 50 observations on x and y, and sd of x and sd of y are both positive. We look at the scatterplot of x against y, and then we draw two lines in the scatterplot. Using Line #1, residuals are calculated and they do not sum to 0. Using Line #2, residuals are calculated and they do sum to 0.

Line #1 ____ the OLS regression line of x on y, and Line #2 ____ the OLS regression line of x on y.

A. might or might not be, might or might not be

B. is definitely not, might or might not be

C. is definitely not, is definitely

D. might or might not be, is definitely

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