The compressive strength of an alloy fastener used in aircraft construction is being studied. Ten loads were selected over the range 2500€“4300 psi, and a number of fasteners were tested at those loads. The numbers of fasteners failing at each load were recorded. The complete test data are shown in Table E11-14.

(a) Fit a logistic regression model to the data. Use a simple linear regression model as the structure for the linear predictor.

(b) Is the logistic regression model in part (a) adequate?

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Number Failing, r Load, x (psi) 2500 Sample Size, n 50 10 17 2700 70 2900 100 30 3100 60 21 3300 40 18 3500 85 43 3700 90 54 3900 50 33 4100 80 60 4300 65 51