This map shows the population density of every census tract in New York. Due to limit color choices, you can see that most of the state is very blue and unpopulated compared to some census tracts in New York City. For example, Census Tract 9702, Delaware County, New York (Meridith) has 24 residents per sq mile while Census Tract 138, New York County, New York (Upper East Side) has 187,211 residents per sq mile.
Following state trends, renting housing is becoming more popular in Capital Region. High taxes, strong stock markets, and people's general desire probably not to settle down and raise a family in New York State probably leads to more people preferring to rent.
This shows the population density of all census tracts in New York State where the population density is less then 500 persons per square mile.
Data Source: US Census Bureau, 2010 Census.
Here is a look at the percentage of households that are renters, per the 2014 5-year American Community Survey Averages in Block Groups. Election districts are overlaid for reference.