We describe a Yb-fiber-based laser comb, with a focus on the relationship between the net-cavity dispersion and frequency noise on the comb. While tuning the net-cavity dispersion from anomalous to normal, we measure the relative intensity noise, offset frequency ( $f_{\mathrm{CEO}}$ ) linewidth, and the resulting frequency noise spectrum on the $f_{\mathrm{CEO}}$ . We find that the laser operating at zero net-cavity dispersion has many advantages, including an approximately $100\times$ reduction in free-running $f_{\mathrm{CEO}}$ linewidth and frequency noise power spectral density when compared to the normal-dispersion regime. At the zero-dispersion point, we demonstrate a phase-locked $f_{\mathrm{CEO}}$ beat with low residual noise.