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The larger the standard error, the worse the regression line is at predicting a Y score...

The larger the standard error, the worse the regression line is at predicting a Y score with any given X  [G&W Chp. 16].

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This statement is True. The larger the standard error, the worse the regression line is at predicting a Y score with any given X. Basically, the standard error is an indicator of how wrong the regression model is on an average.

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