nlpredci (Statistics Toolbox)

Confidence intervals on predictions of nonlinear models.

Syntax

ypred = nlpredci('model',inputs,beta,r,J)
[ypred,delta] = nlpredci('model',inputs,beta,r,J)

Description

ypred = nlpredci('model',inputs,beta,r,J) returns the predicted responses,ypred, given the fitted parameters, beta, residuals, r, and the Jacobian matrix, J. inputs is a matrix of values of the independent variables in the nonlinear function.

[ypred,delta] = nlpredci('model',inputs,beta,r,J) also returns 95% confidence intervals, delta, on the nonlinear least squares predictions, pred. The confidence interval calculation is valid for systems where the length of r exceeds the length of beta and J is of full column rank.

nlpredci uses the outputs of nlinfit for its inputs.

Example

Continuing the example from nlinfit:

load reaction
[beta,resids,J]=nlinfit(reactants,rate,'hougen',beta);
ci = nlpredci('hougen',reactants,beta,resids,J)

ci =

    8.2937
    3.8584
    4.7950
   -0.0725
    2.5687
   14.2227
    2.4393
    3.9360
   12.9440
    8.2670
   -0.1437
   11.3484
    3.3145