Barely Significant

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The basic assumptions of the model were tested prior to the analysis: For the linearity assumption, the scatter plot created between the standardized predicted values and the standardized residual values was examined, and it was observed that the points were randomly distributed and did not show a clear trend. This situation indicated that the relationship between the dependent variable and the independent variables was linear.
A notable trend across the series is the systematic variation in the magnitude of metal d-orbital contributions at the Fermi level, decreasing from Mn (~12 states/eV) to Mo (~6 states/eV) to Ta (~6 states/eV) to Ir (~4 states/eV), correlating with the increasing d-electron filling and orbital hybridization effects.