If X helps to predict Y,then the estimated standard error of estimate will be larger than the estimated standard deviation of Y,and the better the predictor X is,the larger the
estimated standard error of estimate will be.

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If X helps to predict Y, the estimated standard error of estimate will be smaller than the estimated standard deviation of Y, and the better the predictor X is, the smaller the estimated standard error of estimate will be.

If X Helps to Predict Y,then the Estimated Standard Error