Problem 14E

An article in the Journal of the American Ceramic Society [“Rapid Hot-Pressing of Ultrafine PSZ Powders” (1991, Vol. 74, pp. 1547–1553)] considered the microstructure of the ultrafine powder of partially stabilized zirconia as a function of temperature. The data follow:

(a) Fit the simple linear regression model using the method of least squares. Find an estimate of σ2.

(b) Estimate the mean porosity for a temperature of 1400 °C.

(c) Find the fitted value corresponding to y = 11.4 and the associated residual.

(d) Draw a scatter diagram of the data. Does a simple linear regression model seem appropriate here? Explain.

Chemistry Chapter 1 Notes Chemistry— the study of Matter Hypothesis— a tentative explanation for a series of observations. Theory— a model with which one is able to explain and make a further prediction about natural phenomena. Natural law— a concise statement, often in mathematical terms, that summarizes observations of certain natural phenomena. The form of reasoning in which a general statement or natural law is inferred from a set of observations is called induction. Building Blocks of Matter: Subatomic particles(make up the atom): Protons(positively charged) Neutrons(No charge) Electrons(negatively charged) Electrons are a type of lepton Protons and neutrons are made of quarks Atoms combine to make molecules