Suppose an engineer is interested in comparing three chemical processes for manufacturing a certain compound. She suspects that the impurity of the raw material used in the processes will affect the final product. She therefore wants to adjust for that in the final analysis. Using a CRD with 15 experimental units she records the following:

(i) Plot the data. Using the methods and formulae described in Section 8. 5.2, (ii) Estimate the regression line for each treatment. (iii) Test the hypotheses that the three slopes in (ii) are equal. (iv) Obtain the pooled estimate of the slope. (v) Obtain the unadjusted and the adjusted treatment means and compare them. (vi) Obtain the ANOVA table. (vii) Interpret the results obtained from the ANOVA table. Compare the results with those obtained in Examples 8.1 - 8.3.

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Amount of Treatment Impurity Yield 1 4.1 12.5 2.9 10.3. 1.5 9.6 4.1 12.6 2.2 11.3 2 6.8 11.5 2.7 8.6 3.8 7.2 6.4 11.6 5.6 8.9 3 6.6 6.8 2.2 4.8 3.5 5.6 5.5 7.5 4.6 6.2