Solved: An article in the Journal of the American Ceramic

Chapter 11, Problem 11-12

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An article in the Journal of the American Ceramic Society [Rapid Hot-Pressing of Ultrafine PSZ Powders (1991, Vol. 74, pp. 15471553)] considered the microstructure of the ultrafine powder of partially stabilized zirconia as a function of temperature. The data are shown below: x Temperature ( C): 1100 1200 1300 1100 1500 1200 1300 y Porosity (%): 30.8 19.2 6.0 13.5 11.4 7.7 3.6 (a) Fit the simple linear regression model using the method of least squares. Find an estimate of (b) Estimate the mean porosity for a temperature of 1400 C. (c) Find the fitted value corresponding to and the associated residual. (d) Draw a scatter diagram of the data. Does a simple linear regression model seem appropriate here? Explain.

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