I'm reading through a paper that describes the home range variation across various groups of animals. The authors calculate some parameters for a linear model for these groups. I'm having trouble getting the answers they provide as the output.
For example, their model for birds gives as regression coefficients:
$log_{10}(a)=2.79$ and $b = 1.50$
Their full linear model is:
$log{10}(HRA_{1kg}) = log{10}(a) + b * log{10}(M)$
where $HRA_{1kg}$ is the predicted home-range size (in m^2) at M = 1kg.
From this they get the value of 49,421,691 m^2 but I don't see how they get there. For instance, log10 of 1 should equal zero leaving the answer equal to the intercept.
Hope you can help.