Systems and methods for estimating a flow rate through a device are provided. One or more pressure sensors measure a plurality of pressure differentials across a tested device. A temporary flow rate sensor measures a plurality of flow rates through the tested device. Each of the measured flow rates corresponds to one of the measured pressure differentials. A regression model trainer generates regression coefficients for a flow rate model using the measured pressure differentials and corresponding flow rates. A flow rate estimator uses the flow rate model to estimate a flow rate through a tested or untested device as a function of a measured pressure differential across the tested or untested device.