The standard error of the estimated coefficient indicates whether a relationship exists between the predictor variable and the outcome variable that cannot be attributed to chance alone.

Question

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The standard error of the estimated coefficient provides a measure of the precision of the estimated coefficient and the likelihood of observing that coefficient assuming no true relationship exists between the predictor and outcome variables. A small standard error indicates a high level of precision, which in turn suggests that the estimated coefficient is unlikely to have arisen by chance. Therefore, a significant coefficient (i.e., one that is unlikely to have arisen by chance) suggests a relationship exists between the predictor variable and the outcome variable that is not due to chance alone.

The Standard Error of the Estimated Coefficient Indicates Whether a Relationship