Solution
= Solution
A one-unit increase in <testosterone> concentration, here $1\,\mathrm{ng/dL}$, multiplies the expected offspring count by \b[$\boxed{e^{\beta_T}}$] under the <Poisson regression> with a <log link>. Thus the exact percentage change in the conditional mean is \b[$\boxed{100(e^{\beta_T}-1)\%}$]. The <regression coefficient> $\beta_T$ itself is the change in the logarithm of the expected count, not an additive change in offspring number.