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stderror

Format: stderror( [x1,x2,...], y, zero )

Arguments: [real] [x1,x2] Lists of independent values

[real] y List of dependent values

(bool) zero Optional zero y-intercept; default = no

Returns: [real] List including the standard error for each regression coefficient b, m1, m2, ..., mn

Description: The standard error for a least-squares regression coefficient is a measure of how well the coefficient matches the input data points. More specifically, it represents the standard deviation of the regression coefficient.

Stderror is designed to be used in conjunction with linefit.

Examples: Fit a line of the form y(x)=b+m*x to the data points:

  (1,7), (3,15), (4,14), (7,20), and (8,30).

and calculate the standard error for each coefficient.

x:=[1,3,4,7,8]

y:=[7,15,14,20,30]

stderror(x,y) = [3.06,0.58]

See Also: linefit, rsquared

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