Irresponsible broadcast about intelligence (14)

I believe the answer is:
scatterbrained
'irresponsible' is the definition.
(similar in meaning)
'broadcast about intelligence' is the wordplay.
'broadcast' becomes 'scatter' (broadcast can mean to scatter seeds).
'about intelligence' becomes 'brained' (I can't explain this - if you can you should give a lot more credence to this answer).
'scatter'+'brained'='SCATTERBRAINED'
Can you help me to learn more?
(Other definitions for scatterbrained that I've seen before include "Inattentive" , "Careless" , "Disorganised, lacking concentration" , "easily distracted - with 20d" , "Unfocused" .)
