If X helps to predict Y,then the _____ will be smaller than the _____.
A)standard deviation of Y;standard estimate of error
B)standard error of estimate;sum of squares for Y
C)standard estimate of error;standard deviation of X
D)standard error of estimate;standard deviation of Y

Question

Quizplus · Accepted Answer

The standard error of estimate is a measure of how well the regression line fits the data, and is also commonly referred to as the standard deviation of the residuals. It represents the average amount of variability in Y that is not explained by X. Therefore, if X helps to predict Y, the standard error of estimate will be smaller than the standard deviation of Y. Option A is incorrect because the standard deviation of Y represents the amount of variability in Y regardless of any predictor variables, and is not directly related to the prediction of Y by X. Options B and C are also incorrect because they involve the sum of squares and standards for the wrong variables, respectively.

If X Helps to Predict Y,then the _____ Will Be