In an toxicity experiment, batches of fruit flies were exposed to different dose

Question

In an toxicity experiment, batches of fruit flies were exposed to different doses of nicotine. The data are given in Table 1 Table 1: Toxicity Experiment Data concentration (X (g 100cc number of flies (ny number killed y 10 47 14 15 53 .20 24 30 52 32 46 38 54 52 50 a) The following is a R program and output x c( .1,.15,.2,.3,.5, .7, .95) n c (47,53,55,52,46,54,52) y c(8,14, 24,32,38,50,50) fit1 glm (cbindly ,n-y) x, family binomial) summary (fit1) Call gln (formula cbind (y, n y) x, family binomial) Deviance Residuals [1] 1.2945 0.7601 0.8086 1.1253 0.3828 -0.2733 1.2266 Coefficients

Explanation / Answer

(i) model fitted by R program is

Y=-1.7361+6.2954x

(ii)Overdispersion exists when data exhibit more variation than you would expect

Underdispersion is the opposite of overdispersion. Underdispersion exists when data exhibit less variation than you would expect

(iii)Its the number of fisher's scoring iteration has been done. as the number of iterations increasing the model fits and more iterations can result in over fitting

(iv)The overall model fit has AIC=36.157 which indicates good fit as per the data given

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