Fit the same model as is used in but fit the Bernoulli regression model by fitting to the individual trees. Show that the estimates and standard errors are identical to those in but the deviance and...

Fit the same model as is used in but fit the Bernoulli regression model by fitting to the individual trees. Show that the estimates and standard errors are identical to those in but the deviance and df are different.

Add (log(d))2 to the mean function to allow for a possible decline in the probability of blow down for the largest trees. Obtain the z-test that the coefficient for the quadratic term is 0, and also obtain the G2 test for the same hypothesis. Show that these two tests are not identical, that is G₂
≠ z2 , and state the conclusions from the tests. Draw the effects plot for d; does the quadratic model allow for declining probabilities?