Template:Response Surface Explanation

Once you download the .mat file associated with a response surface, you will see two variables:

• model
  • matrix of size $ N_{vars} \times N_{polynomial terms} $
  • number of columns is equal to the number of input variables $ N_{vars} $
  • number of rows is equal to the number of terms in the polynomial response surface $ N_{polynomial terms} $
  • variable order is as follows:
    • Mass flowrate $ \dot{m} $
    • Reaction rate $ k(T) $
    • Mixing length $ L_{mix} $
    • Measurement location 1 $ z_1 $
    • Measurement location 2 $ z_2 $
    • Measurement location 3 $ z_3 $

• response_surface
  • cell object that results from Matlab's regstats() function
  • polynomial coefficients corresponding to each row of model object are contained in response_surface.beta
  • covariance matrix is stored in response_surface.covb
  • R-squared and adjusted R-squared values stored in response_surface.rsquare and response_surface.adjrsquare, respectively
  • mean square error is contained in response_surface.mse

See the Matlab regstats() help page for more information: http://www.mathworks.com/help/toolbox/stats/regstats.html

Example of how to use this information to compute the value of a response surface is here: EvaluateResponseSurface.m