Linear models

Phoenix contains four Linear models used to perform linear regression. In the following table the y-unit is the preferred unit of the y (concentration) variable and the t-unit is the preferred unit of the t (time) variable. See “Units panel” to set preferred units for the output parameters.

The linear models do not require dosing information.

Note:The default minimization method, Gauss-Newton (Hartley) (located in the Engine Settings tab), and the Parameter Boundaries option Do Not Use Bounds are recommended for all linear mod­els.

Plot

Model #

Name

Model

Estimated parameters (units)

LINEAR501.png 

501

Con­stant

y(t)=CONSTANT 

CONSTANT (y-unit)

LINEAR502.png 

502

Linear

y(t)=INT+SLOPE*t 

INT (y-unit)
SLOPE (y-unit/t-unit)

LINEAR503.png 

503

Qua­dratic

y(t)=A0+A1*t+A2*t2 

A0 (y-unit)
A1 (y-unit/t-unit)
A2 (y-unit/t-unit2)

LINEAR504.png 

504

Cubic

y(t)=A0+A1*t+A2*t2+A3*t3 

A0 (y-unit)
A1 (y-unit/t-unit)
A2 (y-unit/t-unit2)
A3 (y-unit/t-unit3)

 

Last modified date:6/26/19
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