An article entitled “A Method for Improving the Accuracy

Chapter 12, Problem 84E

(choose chapter or problem)

An article entitled "A Method for Improving the Accuracy of Polynomial Regression Analysis" in the Journal of Quality Technology (1971, pp. 149-155) reported the following data on \(y=\) ultimate shear strength of a rubber compound (psi) and \(x=\) cure temperature

\(\left({ }^{\circ} F\right)\)

                                 

(a) Fit a second-order polynomial to these data.
(b) Test for significance of regression using \(\alpha=0.05\).
(c) Test the hypothesis that \(\beta_{11}=0\) using \(\alpha=0.05\).
(d) Compute the residuals from part (a) and use them to evaluate model adequacy.

Equation Transcription:

 

 

   

Text Transcription:

y=

x=

(^\circ F)

\alpha=0.05

\beta_11=0

\alpha=0.05

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