Following are data on y = green liquor (g/l) and x paper machine speed (ft/min) from a Kraft paper machine. (The data were read from a graph in an article in the Tappi Journal, March 1986.)

 

(a) Fit the model Y = β₀ + β₁x + β₂x²Â + ϵ using least squares.

(b) Test for significance of regression using α = 0.05. What are your conclusions?

(c) Test the contribution of the quadratic term to the model, over the contribution of the linear term, using a t-test. If

α = 0.05, what conclusion can you draw?

(d) Plot the residuals from the model in part (a) versus . Does the plot reveal any inadequacies?

(e) Construct a normal probability plot of the residuals. Comment on the normality assumption.

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