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Question 03) An experiment was conducted to determine whether either firing temperature or furnace position affects the baked density of a carbon anode. The data

Question 03) 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:

Position

Temperature (C)

800

825

850

1

670

1043

565

565

1080

510

583

1043

590

2

518

978

526

547

1026

538

521

1004

532

a. Plot the interaction plot for this example.

b. Write the hypotheses for the main and interaction effects.

c. Use Anova to study the main effects of temperature and position in addition to the interaction effect. Report your Anova model.

d. Interpret your results. Are the main and interaction effects at a significant level of a =0.05?

e. Use pairwise comparisons to find which means are significantly different?

f. Utilizing the Q-Q plot and residual plots, check whether your model is adequate.

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