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The article “Advances in Oxygen Equivalence Equations for
Chapter 8, Problem 1SE(choose chapter or problem)
The article “Advances in Oxygen Equivalence Equations for Predicting the Properties of Titanium Welds” (D. Harwig, W. Ittiwattana, and H. Castner, The Welding Journal, 2001:126s–136s) reports an experiment to predict various properties of titanium welds. Among other properties, the elongation (in %) was measured, along with the oxygen content and nitrogen content (both in percent). The following MINITAB output presents results of fitting the model
\(\text { Elongation }=\beta_{0}+\beta_{1} \text { Oxygen }+\beta_{2} \text { Nitrogen }+\beta_{3} \text { Oxygen } \cdot \text { Nitrogen }\)
a. Predict the elongation for a weld with an oxygen content of 0.15% and a nitrogen content of 0.01%.
b. If two welds both have a nitrogen content of 0.006%, and their oxygen content differs by 0.05%, what would you predict their difference in elongation to be?
c. Two welds have identical oxygen contents, and nitrogen contents that differ by 0.005%. Is this enough information to predict their difference in elongation? If so, predict the elongation. If not, explain what additional information is needed.
Equation Transcription:
Text Transcription:
Elongation=beta_{0}+beta_{1}Oxygen+beta_{2}Nitrogen+beta_{3}Oxygen{cdot}Nitrogen
Questions & Answers
QUESTION:
The article “Advances in Oxygen Equivalence Equations for Predicting the Properties of Titanium Welds” (D. Harwig, W. Ittiwattana, and H. Castner, The Welding Journal, 2001:126s–136s) reports an experiment to predict various properties of titanium welds. Among other properties, the elongation (in %) was measured, along with the oxygen content and nitrogen content (both in percent). The following MINITAB output presents results of fitting the model
\(\text { Elongation }=\beta_{0}+\beta_{1} \text { Oxygen }+\beta_{2} \text { Nitrogen }+\beta_{3} \text { Oxygen } \cdot \text { Nitrogen }\)
a. Predict the elongation for a weld with an oxygen content of 0.15% and a nitrogen content of 0.01%.
b. If two welds both have a nitrogen content of 0.006%, and their oxygen content differs by 0.05%, what would you predict their difference in elongation to be?
c. Two welds have identical oxygen contents, and nitrogen contents that differ by 0.005%. Is this enough information to predict their difference in elongation? If so, predict the elongation. If not, explain what additional information is needed.
Equation Transcription:
Text Transcription:
Elongation=beta_{0}+beta_{1}Oxygen+beta_{2}Nitrogen+beta_{3}Oxygen{cdot}Nitrogen
ANSWER:
Step 1 of 4
(a)
The output that fitted model is given by,
