The data series
Of the variation in a metro’s home price-to-income ratio moves with its foreign-born share
Across all 109 U.S. metros over 500,000 people. ACS 2024. A correlation of 100% would mean housing cost rose in perfect lockstep with the foreign-born share and 0% would mean no relationship at all, so 69% (r = 0.69) is strong: 48% of the variation in what a home costs relative to local income moves with how much of the metro was born abroad.
Sources
U.S. Census Bureau, American Community Survey 2024 1-year (median home value, median household income, median gross rent, foreign-born share by metro); Saiz, "Immigration and housing rents in American cities," Journal of Urban Economics 61.2 (2007); Migration Policy Institute.