13.92 Logistic slope At the x value where the probability of success is some value p, the line drawn tangent to the logistic regression curve has slope bp11 - p2.

a. Explain why the slope is b>4 when p = 0.5.

b. Show that the slope is weaker at other p values by evaluating this at p = 0.1, 0.3, 0.7, and 0.9. What does the slope approach as p gets closer and closer to 0 or 1? Sketch a curve to illustrate.