I have the results of a negative binomial where the DV is the log count of meals obtained.

I have continuous predictors and I have my DV back logged, i.e., exp(b) with CIs for easier interpretation in my paper.

The thing is... I am not easily interpreting my exp(b) < 1 because most examples are for ORs and this is not an ORs per se.

For example,

I have days on campus as an IV and health consciousness as an IV

the days exp(b) is ~ 1.13, so I feel comfortable saying for every 1 unit increase (a day) there is a 13% increase in meals.

The health consciousness exp(b) is .80. So for every one point increase in level of health consciousness, there is a _% decrease in meals.

Is it simply a 20% decrease? 1-.80

or a 25% decrease i.e., 1/.80 or is it 28% the beta / by the exp(b) = (-) .22 / .80 .

It does not make sense to say that a one level increase in health consciousness means that a person is .80 times as likely to obtain the meals as a person without a one unit increase -as my DV is continuous not dichotomous.

Much thanks.. my multiple interpretations come from too many google searches!