I would like to utilise the correct regression equation for conducting Objective Optimisations using MATLAB's Optimisation Tool.

When using Design Expert, I'm presented with the Actual factors or Coded factors for the regression equation. However, with the Actual Factors, I'm presented with multiple regression equations since one of my input factors was a categoric value. In this categoric value, the factors were, Linear, Triangular, Hexagonal and Gyroid. As a result, I'm unsure which Regression equation to utilise from the actual factors image.

Otherwise, should I utilise the single regression equation which incorporates all of them? I feel like I'm answering my own question and I really should be using the Coded Factors for the regression equation, but I would like some confirmation.

I used one of the regression equations under "Actual Factors" where Linear is seen, but I fear that this did not incorporate all of the information from the experiment. So any advice would be most appreciated.

Most appreciated!

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