How Heat Index Is Calculated: The NWS Rothfusz Regression Formula
The heat index combines air temperature and relative humidity into a single feels-like number. The math behind it is the Rothfusz regression — a 9-term polynomial in T (temperature, °F) and R (relative humidity, %) derived in 1990 by NWS meteorologist Lans Rothfusz from the 1979 Steadman heat-balance tables. The full equation runs whenever the simple Steadman heat index would exceed 80 °F. Below 80 °F, your body's evaporative cooling stays ahead of humidity load, so the heat index effectively equals the air temperature and the regression is skipped. Two correction terms refine the result: when humidity is very low (under 13%) and temperatures are 80-112 °F, a low-humidity adjustment is subtracted; when humidity is very high (over 85%) and temperatures are 80-87 °F, a high-humidity adjustment is added. Both corrections bring the regression result in line with the published NWS heat-index chart. Our calculator applies all three pieces — simple heat index, full Rothfusz, and the two adjustments — exactly as the NWS does.