# A New Ground-Motion Prediction Model for Shallow Crustal Earthquakes in Turkiye
## 3 Ground-Motion Prediction Models (GMPMs)
### Regression Coefficients and Residuals
\begin{table}
\begin{tabular}{l r r r r r r r r r} \hline
**Period (s)** & \(\boldsymbol{s_{1}}\) & \(\boldsymbol{s_{2}}\) & \(\boldsymbol{s_{3}}\) & \(\boldsymbol{s_{4}}\) & \(\boldsymbol{V_{C}}\) & \(\boldsymbol{\tau_{1}}\) & \(\boldsymbol{\tau_{2}}\) & \(\boldsymbol{\Phi_{S2S}}\) & \(\boldsymbol{\Phi_{ss}}\) & \(\boldsymbol{\tau}\) & \(\boldsymbol{\sigma}\) \\ \hline \(1.00\) & \(-0.8393\) & \(-0.0660\) & \(-0.0090\) & \(0.0810\) & \(862\) & \(0.4694\) & \(0.2598\) & \(0.5496\) & \(0.4760\) & \(0.4774\) & \(0.8698\) \\ \(1.20\) & \(-0.8342\) & \(-0.0513\) & \(-0.0083\) & \(0.0663\) & \(855\) & \(0.4755\) & \(0.2809\) & \(0.5715\) & \(0.4661\) & \(0.4998\) & \(0.8909\) \\ \(1.40\) & \(-0.8266\) & \(-0.0393\) & \(-0.0077\) & \(0.0527\) & \(850\) & \(0.4883\) & \(0.2644\) & \(0.5934\) & \(0.4551\) & \(0.5118\) & \(0.9062\) \\ \(1.60\) & \(-0.8023\) & \(-0.0300\) & \(-0.0070\) & \(0.0400\) & \(845\) & \(0.4950\) & \(0.2555\) & \(0.6021\) & \(0.4495\) & \(0.5169\) & \(0.9120\) \\ \(1.80\) & \(-0.7865\) & \(-0.0250\) & \(-0.0055\) & \(0.0335\) & \(840\) & \(0.5007\) & \(0.2677\) & \(0.6075\) & \(0.4446\) & \(0.5209\) & \(0.9154\) \\ \(2.00\) & \(-0.7652\) & \(-0.0200\) & \(-0.0040\) & \(0.0270\) & \(835\) & \(0.5069\) & \(0.2708\) & \(0.6167\) & \(0.4389\) & \(0.5237\) & \(0.9205\) \\ \(2.50\) & \(-0.7115\) & \(-0.0130\) & \(-0.0030\) & \(0.0190\) & \(830\) & \(0.5166\) & \(0.2776\) & \(0.6380\) & \(0.4296\) & \(0.5117\) & \(0.9238\) \\ \(3.00\) & \(-0.6757\) & \(-0.0080\) & \(-0.0020\) & \(0.0150\) & \(810\) & \(0.5257\) & \(0.2825\) & \(0.6529\) & \(0.4266\) & \(0.4883\) & \(0.9202\) \\ \(3.50\) & \(-0.6478\) & \(-0.0040\) & \(-0.0020\) & \(0.0115\) & \(800\) & \(0.5380\) & \(0.2850\) & \(0.6642\) & \(0.4251\) & \(0.4742\) & \(0.9202\) \\ \(4.00\) & \(-0.6253\) & \(0.0000\) & \(-0.0020\) & \(0.0080\) & \(780\) & \(0.5467\) & \(0.3026\) & \(0.6724\) & \(0.4242\) & \(0.4591\) & \(0.9181\) \\ \(5.00\) & \(-0.6008\) & \(0.0000\) & \(-0.0010\) & \(0.0070\) & \(760\) & \(0.5501\) & \(0.3271\) & \(0.6742\) & \(0.4238\) & \(0.4454\) & \(0.9125\) \\ \(6.00\) & \(-0.5826\) & \(0.0000\) & \(0.0000\) & \(0.0063\) & \(760\) & \(0.5499\) & \(0.3491\) & \(0.6709\) & \(0.4270\) & \(0.4301\) & \(0.9041\) \\ \(7.00\) & \(-0.5510\) & \(0.0000\) & \(0.0000\) & \(0.0057\) & \(760\) & \(0.5416\) & \(0.4130\) & \(0.6569\) & \(0.4369\) & \(0.4000\) & \(0.8845\) \\ \(8.00\) & \(-0.5542\) & \(0.0000\) & \(0.0000\) & \(0.0050\) & \(760\) & \(0.5310\) & \(0.4293\) & \(0.6443\) & \(0.4459\) & \(0.3775\) & \(0.8697\) \\ \(9.00\) & \(-0.5094\) & \(0.0000\) & \(0.0000\) & \(0.0045\) & \(760\) & \(0.5215\) & \(0.4216\) & \(0.6324\) & \(0.4565\) & \(0.3638\) & \(0.8606\) \\ \(10.00\) & \(-0.5016\) & \(0.0000\) & \(0.0000\) & \(0.0040\) & \(760\) & \(0.5126\) & \(0.4200\) & \(0.6234\) & \(0.4630\) & \(0.3525\) & \(0.8528\) \\ \hline \end{tabular}
\end{table} 
Table 3: _Cont._simplicity in the calculations and were determined to be applicable across a broad range of periods from \(T\) = 0.01 to 10 s. Additionally, the standard deviation decreases in a linear fashion as magnitude increases.