# Question

At the x value where the probability of success is some value p , the line drawn tangent to the logistic regression curve has slope βp(1 - p).

a. Explain why the slope is β / 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.

a. Explain why the slope is β / 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.

## Answer to relevant Questions

When α + βx = 0, so that x = -α / β, show that the logistic regression equation p = e α+β x / (1 + eα+βx) gives p = 0.50. An extensive survey by the Pew Forum on Religion & Public Life, conducted in 2007, details views on religion in the United States. Based on interviews with a representative sample of more than 35,000 Americans age 18 and ...A bank conducts a survey in which it randomly samples 400 of its customers. The survey asks the customers which way they use the bank the most: (1) interacting with a teller at the bank, (2) using ATMs, or (3) using the ...Example 2 described an experiment in which telephone callers to an airline were put on hold with an advertisement, Muzak, or classical music in the background. Each caller who was chosen was also randomly assigned to a ...Is the number of good friends associated with marital status? For GSS data with marital status measured with the categories (married, widowed, divorced, separated, never married), an ANOVA table reports F = 0.80 based on df1 ...Post your question

0