In Exercise 11.65, you used the analysis of variance procedure to analyze a 2 3 factorial

In Exercise 11.65, you used the analysis of variance procedure to analyze a 2 × 3 factorial experiment in which each factor-level combination was replicated five times. The experiment involved the number of eggs laid by caged female whiteflies on two different plants at three different temperature levels. Suppose that several of the whiteflies died before the experiment was completed, so that the number of replications was no longer the same for each treatment. The analysis of variance formulas of Chapter 11 can no longer be used, but the experiment can be analyzed using a multiple regression analysis. The results of this 2 × 3 factorial experiment with unequal replications are shown in the table.

a. Write a model to analyze this experiment. Make sure to include a term for the interaction between plant and temperature.
b. Use a computer software package to perform the multiple regression analysis.
c. Do the data provide sufficient evidence to indicate that the effect of temperature on the number of eggs laid is different depending on the type of plant?
d. Based on the results of part c, do you suggest refitting a different model? If so, rerun the regression analysis using the new model and analyze the printout.
e. Write a paragraph summarizing the results of your analyses.

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Cotton Cucumber 70 77 82 37 21 36 43 31 34 46 54 32 40 41 42 70° 77° 82 50 59 43 53 53 62 25 31 71 37 69 49 48 51