[Solution] The residuals in a simple linear regression are the differences between the actual values of y, y(i) and the predicted values of y, y-hat(i).


Question: The residuals in a simple linear regression are the differences between the actual values of y, y(i) and the predicted values of y, y-hat(i). If you sum up all the residuals over i = 1 to n, the resulting sum satisfies which of the following statements.

The sum of the residuals is always a positive number other than zero.

The sum of the residuals can be either positive or negative.

The sum of the residuals is always greater than 0.

The sum of the residuals is always equal to 0

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