Changing standard error to standard deviation.

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SUMMARY

The discussion focuses on converting the Standard Error of the X coefficient in regression analysis to Standard Deviation. The user proposes the formula STD DEV = (STD ERROR) / (degrees of freedom)^0.5, but clarifies that the correct relationship is STD ERROR = STD DEV / (n^0.5). Additionally, the user emphasizes that degrees of freedom is not synonymous with sample size, "n," and introduces an alternative formula for Standard Deviation as STD DEV = SUM OF SQUARES / ((n-1)^0.5).

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  • Understanding of regression analysis and coefficients
  • Familiarity with statistical concepts such as Standard Error and Standard Deviation
  • Knowledge of degrees of freedom in statistical contexts
  • Basic proficiency in mathematical formulas and calculations
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Statisticians, data analysts, and anyone involved in regression analysis who seeks to clarify the relationship between Standard Error and Standard Deviation.

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Hi all,

I've done a regression and have the Standard Error of the X co-efficient (i.e. the slope).

How do I change this figure to the standard deviation?

Is the formula

STD DEV = (STD ERROR)/(degrees of freedom)^0.5

Where degrees of freedom = N - number of X coefficients.

?

Thanks.
 
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Actually, I believe the formula is STD ERROR = STD DEV / (n^0.5)

Moreover:

STD DEV = SUM OF SQUARES / ((n-1)^0.5)

I'm reluctant to use the term "degrees of freedom" because this measure doesn't come into play unless a statistical test is involved, and is not the same as the sample size, "n."
 

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