Solved: An experiment was conducted to determine the

Chapter 11, Problem 104SE

(choose chapter or problem)

An experiment was conducted to determine the effect of pressure and temperature on the yield of a chemical. Two levels of pressure (in pounds per square inch, psi) and three of temperature were used:

One run of the experiment at each temperature–pressure combination gave the data listed in the following table.

a Fit the model \(Y=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}+\beta_{3} x_{2}^{2}+2\), where x1 =pressure and x2 =temperature.

b Test to see whether \(\beta_{3}\) differs significantly from zero, with \(a=.05\).

c Test the hypothesis that temperature does not affect the yield, with \(a=.05\).

Equation transcription:

Text transcription:

Y=beta{0}+beta{1} x{1}+beta{2} x{2}+beta{3} x{2}^{2}+2

beta{3}

a=.05