We will consider the following model:

Y_i|m_i , p_i Bin(m_i , p_i), i = 1, . . . , n

logit(p_i) = ₀ + ₁log(x_i)

₀ some suitable prior

₁ some suitable prior

Here ₀ and ₁ are two regression parameters and we will refer to them jointly as .

(a) What is the interpretation of ₁ in this model?

(b) Briefly comment on whether you think the model is adequate.