In an effort to obtain maximum yield in a chemical reaction, the values of the following…

In an effort to obtain maximum yield in a chemical reaction, the values of the following variables were chosen by the experimenter:

x1 = temperature (8C)

x2 = concentration of a reagent (%)

x3 = time of reaction (hours) Two different response variables were observed:

y1 = percent of unchanged starting material

y2 = percent converted to the desired product

The data are listed in Table 7.4 (Box and Youle 1955, Andrews and Herzberg 1985, p. 188). Carry out the following for y

(a) Find :  and s2.

(b) Find an estimate of

(c) Find R2 and

(d) In order to find the maximum yield for y1, a second-order model is of interest. Find

for the model  

(e) Find R2 and  for the second-order model.


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