The article The Equilibrium Partitioning of Titanium Between Ti3+ and Ti4+ Valency States in CaO-SiO2-TiOx Slags (G.
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a. Denoting the redox ratio by y and the partial pressure by x, theory states that y should be proportional to xβ for some β. Express this theoretical relationship as a linear model.
b. Compute the least-squares line for this linear model. Plot the residuals versus the fitted values. Does the linear model hold?
c. Further theoretical considerations suggest that under the conditions of this experiment, y should be proportional to x1/4. Are the data in the preceding table consistent with this theory? Explain.
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