Use the second-order polynomial regression model from Exercise 12-4, (a) Find a 95% confidence interval on both
Question:
Use the second-order polynomial regression model from Exercise 12-4,
(a) Find a 95% confidence interval on both the first-order and the second-order term in this model.
(b) Is zero in the confidence interval you found for the second-order term in part (a)? What does that fact tell you about the contribution of the second-order term to the model?
(c) Refit the model with only the first-order term. Find a 95% confidence interval on this term. Is this interval longer or shorter than the confidence interval that you found on this term in part (a)?
Exercise 12-4
Hsuie, Ma, and Tsai (€˜€˜Separation and Characterizations of Thermotropic Copolyesters of p-Hydroxybenzoic Acid, Sebacic Acid, and Hydroquinone,€™€™ (1995, Vol. 56) studied the effect of the molar ratio of sebacic acid (the regressor) on the intrinsic viscosity of copolyesters (the response). The following display presents the data.
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