This data only goes up to 2015: New US Homes Today Are 1,000 Square Feet Larger Than in 1973 and Living Space per Person Has Nearly Doubled | American Enterprise Institute – AEI

The average cost per square foot, adjusted for inflation, has stayed almost constant through this period.
For this reason, some view homes as primarily a hedge against inflation.
Here’s a different chart up through 2024:

How Have U.S. Home Sizes Changed Over Time? | Bankrate
And a table of sizes, here: Average Size of US Homes, Decade by Decade
And housing sizes by major city: The Growth of the Average US Home Size in the Past 100 Years
Mortgage rates over time: Historical Mortgage Rates Since 1950: Rate Trends Over Time
Mortgage rates were near 4% in the 1950s and early 1960s but then climbed to near 7% by the end of the 1960s and remained there – or higher – until almost 2010. Rates came down after The Great Recession but began to climb back to 7% in the post-Covid era.
