# How to interpret coefficients off a quasi-poisson regression with weights and a fixed effect?

My Quartile variable is a binary variable, 0 = lowest quartile, 1 = highest quartile. My variable being explained cases_100k is a continuous variable. I am running a quasipoisson regression with fixed effects and weighting as an alternate way of a t-test test of means between quartile 0 and quartile 1 with fixed effect and weighting controls.

How do I interpret the intercept and coefficients? I know there is a crude interpretation that a 1 unit increase in Quartile correspond to a 0.324% increase in cases_100k. I also know that I can transform the estimate with an exponent, and say that e^0.323 = 1.38. How can 1.38 be interpreted?