Derive an expression for the maximum-likelihood estimate of the intercept b 0 in logistic regression (Equation 7.29), for the constant model in which b 1 = b 2 = ... = b K = 0. Explain why the slopes...

Derive an expression for the maximum-likelihood estimate of the intercept b₀
in logistic regression (Equation 7.29), for the constant model in which b₁
= b₂
= ... = b_K
= 0.

Explain why the slopes of the solid lines decrease, from Figure 7.20 to Figure 7.21a, to Figure 7.21b. What would the corresponding MOS equation be for an arbitrarily long lead time into the future?