An experiment was conducted to determine whether either firing temperature or furnace position affects the baked density of a carbon anode. The data are as follows:

(a) Compute the estimates of the effects and their standard errors for this design.

(b) Construct two-factor interaction plots and comment on the interaction of the factors.

(c) Use the t ratio to determine the significance of each effect with 0.05. Comment on your findings.

(d) Compute an approximate 95% CI for each effect.
Compare your results with those in part

(c) and comment.

(e) Perform an analysis of variance of the appropriate regression model for this design. Include in your analysis hypothesis tests for each coefficient, as well as residual analysis. State your final conclusions about the adequacy of the model. Compare your results to part

(c) and comment.

Transcribed Image Text:

Temperature (C) Position 800 825 1 570 1063 565 1080 583 1043 2 528 988 547 1026 521 1004