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Using data obtained for twelve galaxies as part of the {\it Spitzer} InfraredNearby Galaxies Survey (SINGS) and the Westerbork Synthesis Radio Telescope(WSRT)-SINGS radio continuum survey, we study how star formation activityaffects the far-infrared (FIR)--radio correlation {\it within} galaxies bytesting a phenomenological model, which describes the radio image as a smearedversion of the FIR image. The physical basis of this description is thatcosmic-ray (CR) electrons will diffuse measurably farther than the mean freepath of dust-heating photons before decaying by synchrotron radiation. Thisdescription works well in general. Galaxies with higher infrared surfacebrightnesses have best-fit smoothing scale-lengths of a few hundred parsecs,substantially shorter than those for lower surface brightness galaxies. Weinterpret this result to suggest that galaxies with higher disk averaged starformation rates have had a recent episode of enhanced star formation and arecharacterized by a higher fraction of young CR electrons that have traveledonly a few hundred parsecs from their acceleration sites in supernova remnantscompared to galaxies with lower star formation activity.Comment: 5 pages, 3 figures; Accepted for publication in ApJ Letter

The Effect of Star Formation on the Far-Infrared-Radio Correlation within Galaxies