If you have taken into account all relevant explanatory factors,the residuals from a multiple regression should be random.

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The residuals from a multiple regression should be random if all relevant explanatory factors have been accounted for. This means that the residuals represent the random variation in the dependent variable that is not explained by the independent variables. If there are any systematic patterns or trends in the residuals, it suggests that there are other relevant explanatory factors that have not been included in the model, or that the model is misspecified.

If You Have Taken into Account All Relevant Explanatory Factors,the