When you have independent variables that are not significant in multiple regression analysis,it is appropriate to take them out and rerun the regression.The new model is referred to as a "trimmed" model.

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This statement is true. Removing non-significant independent variables from a multiple regression analysis can improve the model's accuracy and efficiency. The new model that results from this process is referred to as a trimmed model.

When You Have Independent Variables That Are Not Significant in Multiple