If we assume a country where only demand pull inflation holds, that is no imports cost inflation or currency fluctuations are a risk, then we can assume that inflation is determined by:
Consumer spending (for example for the US this should be the most important part of the economy)
Government spending
Are retail sales and house sales included in the consumer spending figure?
Aside from that, are there other economic indicators (that are neither consumer spending nor government spending) that influence a country's inflation?