Table 2 Review of various regression models for different scales
Independent variable | Outcome variable | Regression model | References |
|---|---|---|---|
\(m_{b}\) | \(M_{w.}\) | \(0.85m_{b} + 1.03;R^{2} = 0.86;3.5 \le m_{b} \le 6.2\) | Scordilis (2006) |
\(M_{S.}\) | \(M_{w.}\) | \(0.67M_{S} + 2.07;R^{2} = 0.77;3 \le M_{S} \le 6.1\) | Scordilis (2006) |
\(M_{S.}\) | \(M_{w}\) | \(0.99M_{S} + 0.08;R^{2} = 0.81;6.2 \le M_{S} \le 8.2\) | Scordilis (2006) |
\(M_{D.}\) | \(M_{w.}\) | \(0.764M_{D} + 1.379;3.7 \le M_{D} \le 6.0\) | Akkar et al. (2010) |
\(M_{L.}\) | \(M_{w.}\) | \(0.953M_{L} + 0.422;3.9 \le M_{L} \le 6.8\) | Akkar et al. (2010) |
\(m_{b}\) | \(M_{w.}\) | \(1.084m_{b} - 0.142;R^{2} = 0.88;m_{b} < 6.5\) | Weatherill et al. (2016) |
\(M_{S.}\) | \(m_{b}\) | 0.703 \(M_{S}\) + 1.534;\(R^{2} = 0.744\) | Ibrahim et al. (2015) |
\(m_{b}\) | \(M_{w.}\) | \(0.834m_{b} + 1.181;R^{2} = 0.99;3.1 \le m_{b} \le 6.5\) | Lamessa et al. (2019) |