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Under what circumstance, unlikely as it might be, would the standard error of es

ID: 3156341 • Letter: U

Question

Under what circumstance, unlikely as it might be, would the standard error of estimate be zero?

Question 11 options:

The proportionate reduction in error is also zero.

The correlation coefficient is also zero.

The correlation coefficient is either 1.00 or –1.00.

The standard error of estimate can never be zero.

The proportionate reduction in error is also zero.

The correlation coefficient is also zero.

The correlation coefficient is either 1.00 or –1.00.

The standard error of estimate can never be zero.

Explanation / Answer

The standard error of the estimate is a measure of the accuracy of predictions made with a regression line.

The standard error of the mean tells us how the mean varies with different experiments measuring the same quantity. Thus if the effect of random changes are significant, then the standard error of the mean will be higher. If there is no change in the data points as experiments are repeated, then the standard error of mean is zero.

Answer is D