For a large sample of quasi-simultaneous spectra of blazars from radio to far-infrared wavelengths, we study the correlations of the luminosity of the broad-line emission (LBLR) with the radio core luminosity (L) and the extended radio luminosity (PE). A strong correlation between log LBLR and log L is found for 48 blazars, and the slope of the linear regression equation is close to 1. Our results support the hypothesis that blazar jets are powered by energy extraction from a rapidly spinning Kerr black hole through the magnetic field provided by the accretion disk. Using partial correlation regression analysis for the same sample, we find that the linear correlation coefficient between log LBLR and log L is stronger with the effect of the redshift excluded, and the linear correlation coefficient between log LBLR and log PE is also significant. The results seem to show that the coupling of the jet and accretion disk is very tight, so that LBLR also correlates significantly with extended radio luminosity.
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