An article entitled A Method for Improving the Accuracy of Polynomial Regression Analysis in the Journal of Quality Technology (1971, pp 149155) reported the following data on y ultimate shear strength of a rubber compound (psi) and x cure temperature ( deg 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 800 770 840 810 280 284 292 295 735 640 590 560 298 305 308 315

Question: An article entitled A Method for Improving the Accuracy of Polynomial Regression Analysis in the Journal of Quality Technology (1971, pp. 149155) reported the following

An article entitled €œA 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.

800 770 840 810 280 284 292 295 735 640 590 560 298 305 308 315

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