The reason for testing for the presence of autocorrelation in a regression-based trend forecasting model is that one assumption of the regression analysis is that the residuals are not correlated.

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Autocorrelation refers to the correlation of a signal with a delayed copy of itself. In the context of regression analysis, the assumption is that the residuals (errors) from the model are independent of each other. If residuals are correlated (autocorrelation), it violates the assumption of independence, potentially leading to inefficient estimates and invalid statistical inferences. Testing for autocorrelation helps ensure the validity of the regression model's assumptions.

The Reason for Testing for the Presence of Autocorrelation in a Regression-Based