$\Sigma_*$ – $Z$ relation. We discuss our results in the context of the literature, and the dependence of the residuals on other parameters in Section \[sec:discussion\]. Finally, we summarize our results in Section \[sec:summary\]. Throughout this paper, we adopt a flat $\Lambda$CDM cosmology with $\Omega_\Lambda=0.7$, $\Omega_{\rm m}=0.3$, and $H_0=70$ km s$^{-1}$ Mpc$^{-1}$.

Data Analysis {#sec:data}
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MaNGA Overview {#subsec:manga}
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The MaNGA (Mapping Nearby Galaxies at Apache Point Observatory) survey, one of the three core programs in the Sloan Digital Sky Survey IV [SDSS–IV, @Blanton2017], is an IFS survey aiming at 10,000 nearby galaxies that are selected from the NASA-Sloan-Atlas (NSA) catalog [^1] [@Blanton2011; @Bundy2015]. The redshift of these target galaxies span a range of $0.01<z<0.15$. The spectrographs of the MaNGA survey provide a spectral coverage of 3600 – 10300 $\mathrm{\AA}$ at a resolution of $R \sim $ 2000 [@Drory2015]. The diameter of an individual fiber is 2. SDSS DR14 [@Abolfathi2018], the second data release of MaNGA, has delivered a public sample of 2812 galaxies with spatially resolved IFS mapping [^2]. In this work, we treat these 2812 galaxies as the parent sample.

Spectral Fitting And Emission-line Measurements {#subsec:spec-fitting}
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In general, one needs to disintegrate the emission lines from 