The data of Table 7.14 represent the thickness of oxidation on a metal alloy for different settings of temperature in a curing oven. The values of temperature have been coded so that zero is the “normal” temperature, which makes manual computation easier.
(a) Calculate the estimated regression line to predict oxidation based on temperature. Explain the meaning of the coefficients.
(b) Calculate the estimated oxidation thickness for each of the temperatures in the experiment.
(c) Calculate the residuals and make a residual plot. Discuss the distribution of residuals.
(d) Test the hypothesis that β1 = 0, using both the analysis of variance and t tests.
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