# Interpreting categorical coefficients

In your Bayesian model, $$m$$i $$= a + b X$$i specified the dependence of typical trail volume on weekday status $$X$$i (1 for weekdays and 0 for weekends). A summary() of your RJAGS model simulation provides posterior mean estimates of parameters $$a$$ and $$b$$, the latter corresponding to b.2. here.

> summary(rail_sim_1)
Mean     SD Naive SE Time-series SE
a    428.47 23.052  0.23052         0.5321
b.1.   0.00  0.000  0.00000         0.0000
b.2. -77.78 27.900  0.27900         0.6422
s    124.25  9.662  0.09662         0.1335


Which of the following is the best interpretation of these posterior summaries?