When 1(????i) = ????0 + ????1xi, explain why the response curve for ????i [or for 1

When Φ−1(????i) = ????0 + ????1xi, explain why the response curve for ????i [or for 1 − ????i, when ????1 < 0] has the appearance of a normal cdf with mean ???? =

−????0∕????1 and standard deviation ???? = 1∕|????1|. By comparison, explain why the logistic regression curve for ????i has mean ???? = −????0∕????1 and standard deviation

????∕|????1|

√

3. What does this suggest about relative magnitudes of estimates in logistic and probit models?