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It has been reported that channel attenuation and Root-Mean-Square Delay Spread (RMS-DS) of in-home (IH) power line (PL) channels are (positively) correlated lognormal random variables. Exploiting this result, we here propose a simple statistical channel model where tap amplitudes and differential delay are correlated random variables. Although we focus here on the IH PL channel, we also report empirical results that indicate that the proposed approach may be valid for other communications channels as well. We conclude pointing out that those channel models that contain some sort of channel Signal-to-Noise Ratio (SNR) normalization, an operation that naturally removes this correlation between channel attenuation and RMS-DS, should be used with caution.