I am running a panel regression for 20 quarters of 311 local authorities. I am regressing their recycling rate on a series of variables (log income, log household size, log population density).

I use this Stata command:

 xtreg compost loginc logpopden loghhsize age1120 age2130 age3140 age4150 age5160 age6170 age7180 age81plus quarter2 quarter3 quarter4, fe vce(cluster acode)

I have included agecategory variables that demonstrate the % of people in each local authority of age 0-10, 11-20...70-80, 81+.

How do I interpret the coefficients on age category? I dropped the variable for age 0-10 to avoid collinearity. Below are my results.

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