Question: 4.20 The following data come from a dose-response study that investigated a new pharmaceutical product. Observation 1 2 3 4 5 6 7 8 9

4.20 The following data come from a dose-response study that investigated a new pharmaceutical product. Observation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Dose (mg) 180 182 184 186 185 188 190 192 195 194 196 199 200 204 205 Patient Response 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 Observation 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Dose (mg) 210 212 215 216 218 220 222 225 228 230 232 234 235 236 240 Patient Response 0 0 0 0

(a) Fit a logistic regression model to these data.

(b) Prepare a graph of the fitted function. Does it adequately describe the data?

(c) Investigate the lack of fit of the model. What are your conclusions?

(d) Find 95% confidence intervals on the model parameters.

(e) Estimate the probability of a successful response if the dose is 226 mg.

(f) Find a 96% confidence interval on the probability of success when the dose is 226 mg.

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