The following are true–false questions.

a. A model for a binary y has a continuous explanatory variable. If the model truly holds, the residual deviance has a distribution approaching chi-squared as n increases. It can be used to test model goodness of fit.

b. When x1 or x2 is the sole predictor for binary y, the likelihood-ratio test of the effect has P-value < 0.0001. When both x1 and x2 are in the model, it is possible that the likelihood-ratio tests for H0: β1 = 0 and for H0: β2 = 0 could both have P-values larger than 0.05.