Econometrics rhymes with:
geometrics, geometrics, metrics, geometrics, metrics, obstetrics, alphametrics, beatrix, datametrics, eccentrics, electric's, electrics, geometrics, geriatrics, matrix, metrics, novametrix, obstetrics, patrick's, patricks, pediatrics, theatrics
Econometrics sounds like:
eccentric, eccentrics, econometric, egocentric