# In their book Empirical Model Building and Response Surfaces (John Wiley, 1987), Box and Draper described an

## Question:

(a) The response y_{1} is the average of three readings on resistivity for a single wafer. Fit a quadratic model to this response.

(b) The response y_{2} is the standard deviation of the three resistivity measurements. Fit a linear model to this response.

(c) Where would you recommend that we set x_{1}, x_{2}, and x_{3} if the objective is to hold mean resistivity at 500 and minimize the standard deviation?

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**Related Book For**

## Applied Statistics And Probability For Engineers

**ISBN:** 9781118539712

6th Edition

**Authors:** Douglas C. Montgomery, George C. Runger