Suppose y = 0 at x = 0, 10, 20, 30 and y = 1 at x = 70, 80, 90, 100. a. Explain intuitively why βˆ = ∞ for the model, logit[P(Y = 1)] = α + βx. Report βˆ and its SE for the software you use. b. Add...

Suppose y = 0 at x = 0, 10, 20, 30 and y = 1 at x = 70, 80, 90, 100.

a. Explain intuitively why βˆ = ∞ for the model, logit[P(Y = 1)] = α + βx. Report βˆ and its SE for the software you use.

b. Add two observations at x = 50, y = 1 for one and y = 0 for the other. Report βˆ and its SE. Do you think these are correct? Why? What happens if you replace the two observations by y = 1 at x = 49.9 and y = 0 at x = 50.1?