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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 7.4 - Problem 11e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 7.4 - Problem 11e

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# The article “The Equilibrium Partitioning of Titanium

ISBN: 9780073401331 38

## Solution for problem 11E Chapter 7.4

Statistics for Engineers and Scientists | 4th Edition

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Problem 11E

The article “The Equilibrium Partitioning of Titanium Between Ti3+ and Ti4+ Valency States in CaO-SiO2-TiOx Slags” (G. Tranell, O. Ostrovski, and S. Jahanshahi, Metallurgical and Materials Transactions B, 2002:61–66) discusses the relationship between the redox ratio Ti3+/Ti4+ and oxygen partial pressure pO2 in CaO-SiO2-TiOx melts. Several independent measurements of the redox ratio were made at each of five different partial pressures: 10-7, 10-8, 10-9, 10-10, and 10-12 atmospheres. The results for the runs at 14 mass percent TiOx are presented in the following table.

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 x-1/4. Are the data in the preceding table consistent with this theory? Explain.

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09.20 Lecture Tuesday, September 20, 2016 12:35 PM I. Quiz Review (Questions and Answers onR eading notes for 09.20) II. Lecture Slides • Treisman's -­‐ Attentuation theory ○ Called a "Leaky Filter" Model • Late selection model ○ We make the selection or determination of what we are going to attend to after we know what everyone else is doing/saying ○ Think about this in terms of two messages coming into separate ears, this model says that we receive all info, process it for meaning, and then

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