Organophosphate (OP) compounds are used as pesticides. However, it is important to study their effect on species

Question:

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 Effects of Organophosphate Pesticides on Wildlife Species, by the Department of Fisheries and Wildlife at the Virginia Polytechnic Institute and State University, an experiment was conducted in which different dosages of a particular OP pesticide were administered to 5 groups of 5 mice (peromysius leucopus). The 25 mice were female 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:

(a) Using the model Yi = a + 0Xi + ε _i,i= 1,2,…25, find the least squares estimates of a and 0.

(b) Construct an analysis-of-variance table in which the lack of fit and pure error has been separated. Determine if the lack of fit is significant at the 0.05 level. Interpret the results.

Dose, x (mg/kg Activity, y body weight)_(moles/liter/min)_ Animal 10.9 0.0 0.0 0.0 10.6 10.8 9.8 9.0 11.0 11.3 9.9 9.2 1