Solved: Organophosphate (OP) compounds are used as

Chapter 11, Problem 11.37

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Organophosphate (OP) compounds are used as pesticides. However, it is important to study their effect on species that are exposed to them. In the laboratory study Some Eects of Organophosphate Pesticides on Wildlife Species, by the Department of Fisheries and Wildlife at Virginia Tech, an experiment was conducted in which dierent dosages of a particular OP pesticide were administered to 5 groups of 5 mice (peromysius leucopus). The 25 mice were females of similar age and condition. One group received no chemical. The basic response y was a measure of activity in the brain. It was postulated that brain activity would decrease with an increase in OP dosage. The data are as follows: Dose, x (mg/kg Activity, y Animal body weight) (moles/liter/min) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0.0 0.0 0.0 0.0 0.0 2.3 2.3 2.3 2.3 2.3 4.6 4.6 4.6 4.6 4.6 9.2 9.2 9.2 9.2 9.2 18.4 18.4 18.4 18.4 18.4 10.9 10.6 10.8 9.8 9.0 11.0 11.3 9.9 9.2 10.1 10.6 10.4 8.8 11.1 8.4 9.7 7.8 9.0 8.2 2.3 2.9 2.2 3.4 5.4 8.2 (a) Using the modelYi = 0 + 1xi +i,i=1 ,2,...,25,nd the least squares estimates of 0 and 1. (b) Construct an analysis-of-variance table in which the lack of t and pure error have been separated. Determine if the lack of t is signicant at the 0.05 level. Interpret the results.