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, 2001:212217) 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.

Carbon% Temp.

19 1975

17 1984

18 1962

17 1983

23 1947

20 1991

19 1985

20 1966

22 1954

19 1965

19 1946

21 1972

16 1992

22 1963

15 1986

17 1989

17 1965

18 1949

20 1946

18 1984

18 1971

22 1960

22 1950

23 1967

12 2046

20 1960

15 1979

13 1954

24 1945

19 1953

15 1989

15 1977

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.

Navidi, William (2014-01-24). Statistics for Engineers and Scientists (Page 586). McGraw-Hill Higher Education. Kindle Edition.