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Which of the following is true regarding residual in linear regression?The sum of residuals should be equal to zeroThe sum of residuals should be greater than zeroThe sum of residuals should be less than zeroThere is no such condition on the sum of residuals, it can be anything

Question

Which of the following is true regarding residual in linear regression?The sum of residuals should be equal to zeroThe sum of residuals should be greater than zeroThe sum of residuals should be less than zeroThere is no such condition on the sum of residuals, it can be anything

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Solution

The correct statement is: The sum of residuals should be equal to zero.

In linear regression, the line of best fit is calculated in such a way that it minimizes the sum of the squares of the residuals (the differences between the observed and predicted values). This results in the sum of the residuals being equal to zero. If the sum of the residuals was not zero, it would indicate that the line of best fit is not accurately representing the data.

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