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WellCAD Basics - Advanced Logic Technology

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220 - BOOK 1 - WELLCAD BASICS<br />

www.alt.lu<br />

� Logarithmic fit (Y on X, X on Y and RMA (Reduced Major Axis)).<br />

Calculates the least squares fit through points by using the following equation,<br />

Y<br />

Y on X<br />

RMA<br />

y c log x � b<br />

� 10<br />

where c and b are constants and log10 is the base 10 logarithm function.<br />

� Exponential fit (Y on X, X on Y and RMA (Reduced Major Axis)).<br />

Calculates the least squares fit through points by using the following equation,<br />

bx<br />

y � ce<br />

where c and b are constants and e is the base of the natural logarithm.<br />

� Power fit (Y on X, X on Y and RMA (Reduced Major Axis)).<br />

Calculates the least squares fit through points by using the following equation,<br />

where c and b are constants.<br />

b<br />

y � cx<br />

The following figure illustrates the difference between Y on X, X on Y and RMA<br />

regression for a linear fit.<br />

X on Y<br />

X<br />

Comparison of different regression criteria.

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