The standard deviation is to the mean as the ------------is to the regression line.
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The standard deviation is to the mean as the standard error of the estimate is to the regression line.
Explanation:
- The standard deviation (SD) is a measure of the variability, or dispersion, between individual data values and the mean, whereas the standard error of the mean (SEM) is a measure of how much the data sample mean (average) is predicted to depart from the true population mean. The SEM is always smaller than the SD.
- As a result, the standard error of the mean and standard deviation are related in such a way that, for a given sample size, the standard error of the mean equals the standard deviation divided by the square root of the sample size.
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