In a laboratory test of a new engine design, the emissions
Chapter 8, Problem 2E(choose chapter or problem)
In a laboratory test of a new engine design, the emissions rate (in mg/s of oxides of nitrogen, \(\mathrm{N O}_{x}\)) was measured as a function of engine speed (in rpm), engine torque (in \(\mathrm {f t \cdot l b}\)), and total horsepower. (From “In-Use Emissions from Heavy-Duty Diesel Vehicles,” J. Yanowitz, Ph.D. thesis, Colorado School of Mines, 2001.) MINITAB output is presented for the following three models:
\(\mathrm{N O}_{x}=\beta_{0}+\beta_{1} \text { Speed }+\beta_{2} \text { Torque }+\varepsilon\)
\(\mathrm{N O}_{x}=\beta_{0}+\beta_{1} \text { Speed }+\beta_{2} \text { HP }+\varepsilon\)
\(\mathrm{N O}_{x}=\beta_{0}+\beta_{1} \text { Speed }+\beta_{2} \text { Torque }+\beta_{3} \text { HP }+\varepsilon\)
Of the variables Speed, Torque, and HP, which two are most nearly collinear? How can you tell?
Equation Transcription:
Text Transcription:
NO_x
ft{cdot}lb
NO_x=beta_0+beta_1 Speed+beta_2 Torque+varepsilon
NO_x=beta_0+beta_1 Speed+beta_2 HP+varepsilon
NO_x=beta_0+beta_1 Speed+beta_2 Torque+beta_3 HP+varepsilon
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