[General Information]

Function Name=Asymptotic1	; name show up in the select function dialog
Brief Description=Asymptotic Regression Model - 1st parameterization.
Function Type=Built-in		; source type, built-in, user-defined, external dll
Function Form=Expression	; function form;
Function Source=fgroup.Asymptotic1
Number Of Parameters=3
Number Of Independent Variables=1
Number Of Dependent Variables=1


[Fitting Parameters]

Naming Method=user-defined
Names=a,b,c
Lower bounds=--,--,--
Upper bounds=--,--,--
Meanings=asymptote,response range,rate


[Independent Variables]

x =


[Dependent Variables]

y =


[Constants]


[Formula]

y = a-b*c^x

[Constraints]


[Parameters Initialization]
sort( x_y_curve );
smooth( x_y_curve );
a = max( y_data ); 
x_y_curve = ln( a - x_y_curve );
double coeff[2];
fitpoly( x_y_curve, 1, coeff);  
b = exp(coeff[0]);
c = exp(coeff[1]);


[Initializations]


[After fitting]


[Controls]
General Linear Constraints=Off
Initialization scripts=Off
Scripts After fitting=Off

