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. 2022 Jan 10;12:363. doi: 10.1038/s41598-021-04093-y

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© The Author(s) 2022

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Multivariate regression of $μ_{s}$ vs Gallyas OD and COPA (black bars), compared against univariate regression where only Gallyas OD is considered (grey bars). (a) Gallyas OD slope $k_{1}$ of 5 brain regions resulted from univariate regression and multivariate regression. From left to right: cerebellum, hippocampus, somatosensory, SupFrontal and BA21. (b) Correlation coefficient with Gallyas OD in univariate and partial correlation coefficient (PCC) in multivariate regression. (c) R² of Pearson's correlation in univariate and multivariate regressions. (d) Normalized root mean square error (NRMSE) of univariate and multivariate regressions.