The article ?Mathematical Modeling of the Argon-Oxygen Decarburization Refining Process of Stainless Steel: Part II. Application of the Model to Industrial Practice? (J.Wei and D. Zhu, Metallurgical and Materials Transactions B, 2001:212?217) presents the carbon content (in mass %) and bath temperature (in K) for 32 heats of austenitic stainless steel. These data are shown in the following table.

a. Compute the least-squares line for predicting bath temperature (y) from carbon content (x).

b. Identify two outliers. Compute the two least-squares lines that result from the deletion of each outlier individually, and the least-squares line that results from the deletion of both outliers.

c. Are the least-squares lines computed in parts (a) and (b) similar? If so, report the line that was fit to the full data set, along with 95% confidence intervals for the slope and intercept. If not, report the range of slopes, without a confidence interval.

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Temp. Carbon % Temp. Temp. Temp. Carbon % 19 23 Carbon % Carbon % 1975 1947 1954 1992 1965 1984 1991 1965 1963 1949 1983 1966 17 18 17 1985 20 19 20 1946 1986 1972 1989 1984 1967 1954 1977 22 19 19 21 22 18 22 16 15 17 17 20 1946 18 23 18 1971 2046 1945 1960 1979 1989 12 20 1960 1953 15 13 24 19 15 15