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I have used a Box-Behnken experimental design. I have a full quadratic model.

However, I had to transform the response, $Y$ for the model to fit; I did this using a Box-Cox transformation with $\lambda=0.5$.

For example, one of the regressions is like this:

$$Y = 1.28 - 0.008X_1-0.025X_2-0.05X_3-0.13X_1^2-0.01X_2^2-0.006X_3^2\\ +0.02X_1X_2-0.05X_1X_3+0.09X_2X_3$$

How do I interpret the terms?

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marked as duplicate by whuber Apr 4 '14 at 16:04

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ Which variable(s) were transformed? $\endgroup$ – Glen_b Apr 4 '14 at 2:17
  • $\begingroup$ @glen the Y variable $\endgroup$ – IrishStat Apr 4 '14 at 2:40
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    $\begingroup$ user43075 I have taken a gamble and assumed that @IrishStat has guessed correctly (it would be my guess also), but could you confirm? [If that's not the case your question will need to be edited.] $\endgroup$ – Glen_b Apr 4 '14 at 4:19