The article ??Stability of Silico-Ferrite of Calcium and Aluminum (SFCA) in Air-Solid Solution Limits Between 1240?C and 1390?C and Phase Relationships within the Fe₂O₃-CaO-Al₂O₃-SiO₂(FCAS) System?? (T. Patrick and M. Pownceby, Metallurgical and Materials Transactions B, 2002:79??90) investigates properties of silico-ferrites of calcium and aluminum (SFCA). The data in the following table present the ratio of the weights of Fe₂O₃and CaO for SFCA specimens with several different weight percents of Al₂O₃and C₄S₃.

a. Estimate all main effects and interactions.

b. Construct an ANOVA table. You may give ranges for the P-values.

c. Do the data indicate that there are any interactions between the weight percent of Al2O3 and the weight percent of C₄S₃? Explain.

d. Do the data convincingly demonstrate that the Fe₂O₃/CaO ratio depends on the weight percent of Al₂O₃? Explain.

e. Do the data convincingly demonstrate that the Fe₂O₃/CaO ratio depends on the weight percent of C₄S₃? Explain.

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Al,0;(%) C,S, Fe,0,/Cao Low (3%-6%) Medium (7%-10%) High (11%-14%) Low (3%-6%) Medium (7%-10%) High (11%-14%) Low (3%-6%) Medium (7%-10%) High (11%-14%) 1.0 1.0 7.25 6.92 6.60 6.31 6.03 5.78 5.54 5.31 1.0 5.10 4.90 4.71 4.53 5.0 6.92 6.59 6.29 6.01 5.0 5.74 5.26 5.04 4.84 5.0 4.84 4.65 4.47 4.29 10.0 6.50 6.18 5.89 5.63 10.0 5.37 5.14 4.92 4.71 10.0 4.52 4.33 4.16 3.99