Compete the following exercises using R. As always, add proper interpretations on all confidence intervals and tests.

1. complete the following for the low birth weight data ( lbw.csv) using only age as an explanatory variable. Here, low is the response variable and age is the explanatory variable.

(a) Fit and report the model using a logit link.

(b) Fit and report the model using a probit link

(c) Fit and report the model using a complementary log-log link

(d) Plot the probability estimates from these three models against age on one graph, using three different colours. Add a legend if you can, or explain in text which colour is for which model.

(e) For each model, compute the probability of a low birth weight baby at ages 25, 35, and 45 and find corresponding confidence intervals.

(f) Compare the results from these different analyses: are they similar?