You should not take the absolute value of the coefficient--although this would let you know the effect of a 1-unit decrease in X. Think of it this way:
Using the original negative coefficient, this equation shows the percentage change in Y for a 1-unit increase in X:
(exp[−0.0564*1]−1)⋅100=−5.48
Your "absolute value" equation actually shows the percentage change in Y for a 1-unit decrease in X:
(exp[-0.0564*-1]−1)⋅100=5.80
You can use a percentage change calculator to see how both of these percentages map onto a 1-unit change in X:
- Going from 1,000 to 1,058 is a 5.8% increase.
- Going from 1,058 to 1,000 is a 5.482% decrease.