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 (°F).,(a) Fit a second-order polynomial to these data.,(b) Test for significance of regression using a = 0.05.,(c) Test the hypothesis that B11 = 0 using a = 0.05.,(d) Compute the residuals from part (a) and use them to evaluate model adequacy.

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