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.
