In an experiment to ascertain the effect of load, x, in lb/inches² on the probability of failure of specimens of a certain fabric type, an experiment was conducted in which numbers of specimens were exposed to load ranging from 5 lb/in.² to 90 lb/in². The numbers of ''failures" were observed. The data are as follows:

(a) Use: logistic regression to fit the model ! ` = 1 / 1 + e^- (β₀ + β_1x)' where p is the probability of failure and x is load.

(b) Use the odds ratio concept to determine the increase in odds of failure that results by increasing the load by 20 lb/in.².

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Number of Number of Failures Load Specimens 600 500 600 300 13 95 189 5 35 70 80 90 95 130 300