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Curve Fit and Linear Regression Statistics 

 

 

EES calculates the standard error of each fitted coefficient as well as other information such as the root mean square (rms) and bias errors.  The standard error (shown for the linear regression options) is the square root of the estimated variance of the coefficient. It provides an indication of the uncertainty associated with the coefficient.  Information on how the standard error is determined can be found at https://en.wikipedia.org/wiki/Ordinary_least_squares

 

The bias error is 1/N sum[(Y-Y_m)].

 

where N is the number of data points, and Y_m is the estimated value of Y.  

 

The rms is sqrt(sum[(Y-Y_m)^2]/NN)

 

where NN=N-#coefficients

 

 

The coefficients in this table can be selected by holding the left mouse button down and dragging the mouse over a range of cells.  If the Copy to Clipboard check box is checked, the contents of the selected cells will be placed on the clipboard.