Cotton versus Cucumber In Exercise11.65, you used the

Chapter 13, Problem 21

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Cotton versus Cucumber In Exercise11.65, you used the analysis of varianceprocedure to analyze a 2 3 factorial experiment in which each factorlevel combination was replicatedfive times. The experiment involved the number ofeggs laid by caged female whiteflies on two differentplants at three different temperature levels. Supposethat several of the whiteflies died before the experimentwas completed, so that the number of replicationswas no longer the same for each treatment. Theanalysis of variance formulas of Chapter 11 can nolonger be used, but the experiment can be analyzedusing a multiple regression analysis. The results of this2 3 factorial experiment with unequal replicationsare shown in the table.Cotton Cucumber70 77 82 70 77 8237 34 46 50 59 4321 54 32 53 53 6236 40 41 25 31 7143 42 37 69 4931 48 51a. Write a model to analyze this experiment. Makesure to include a term for the interaction betweenplant and temperature.b. Use a computer software package to perform themultiple regression analysis.c. Do the data provide sufficient evidence to indicatethat the effect of temperature on the number of eggslaid is different depending on the type of plant?d. Based on the results of part c, do you suggest refittinga different model? If so, rerun the regression analysisusing the new model and analyze the printout.e. Write a paragraph summarizing the results of youranalyses

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