## 3 Results
### Correlation between Seven CT, Twenty-Four MRI Features and Ki-67 Score
\begin{table}
\begin{tabular}{l c c c} \hline  & **Pearson** & & **Variance of Pearson** \\
**Feature** & **Correlation Coefficient** & **Significance** & **Correlation Coefficient** \\ \hline Mean Abs Dev 2D & 0.977 & 0.004 & \(8.6\times 10^{-6}\) \\ Root Min Square 2D & 0.964 & 0.008 & \(8.0\times 10^{-5}\) \\ Entropy 2D & 0.971 & 0.006 & \(6.3\times 10^{-5}\) \\ Uniformity 2D & 0.964 & 0.008 & \(7.6\times 10^{-5}\) \\ Kurtosis 2D & 0.900 & 0.008 & \(8.5\times 10^{-5}\) \\ Skewness 2D & 0.922 & 0.026 & \(6.7\times 10^{-5}\) \\ Matrix Mean & 0.997 & 0.045 & \(3.7\times 10^{-4}\) \\ Matrix Variance & 0.932 & 0.021 & \(4.1\times 10^{-5}\) \\ Matrix Entropy & \(-\)0.960 & 0.01 & \(4.9\times 10^{-5}\) \\ Matrix Energy & 0.957 & 0.011 & \(7.0\times 10^{-5}\) \\ Matrix IMC1 & 0.967 & 0.007 & \(1.2\times 10^{-4}\) \\ Matrix IMC2 & \(-\)0.984 & 0.002 & \(1.9\times 10^{-4}\) \\ Matrix Cluster Prominence & \(-\)0.940 & 0.017 & \(1.3\times 10^{-4}\) \\ Matrix Cluster Contrast & \(-\)0.908 & 0.033 & \(1.6\times 10^{-5}\) \\ Matrix Cluster Tendency & \(-\)0.961 & 0.009 & \(7.2\times 10^{-5}\) \\ Matrix Cluster Homogeneity1 & \(-\)0.931 & 0.022 & \(9.6\times 10^{-6}\) \\ Matrix Cluster Homogeneity2 & \(-\)0.908 & 0.033 & \(1.6\times 10^{-5}\) \\ Cube Variance & 0.928 & 0.023 & \(4.6\times 10^{-3}\) \\ Cube Entropy & \(-\)0.954 & 0.012 & \(1.8\times 10^{-2}\) \\ Cube Energy & 0.956 & 0.011 & \(6.9\times 10^{-5}\) \\ Cube IMC1 & 0.974 & 0.005 & \(4.8\times 10^{-3}\) \\ Cube IMC2 & \(-\)0.991 & 0.001 & \(2.5\times 10^{-4}\) \\ Cube Cluster Prominence & \(-\)0.944 & 0.016 & \(1.8\times 10^{-3}\) \\ Cube Cluster Tendency & \(-\)0.961 & 0.009 & \(1.7\times 10^{-3}\) \\ \hline \end{tabular}
\end{table} 
Table 2: Pearson correlation coefficients and significance level for MRI-based imaging features, which exhibit correlation with Ki-67 marker. \begin{table}
\begin{tabular}{l c c c} \hline  & **Pearson** & & **Variance of Pearson** \\
**Feature** & **Correlation Coefficient** & **Significance** & **Correlation Coefficient** \\ \hline Mean Abs Dev 3D & 0.977 & 0.004 & \(8.6\times 10^{-6}\) \\ Root Min Square 2D & 0.964 & 0.008 & \(8.0\times 10^{-5}\) \\ Entropy 2D & 0.971 & 0.006 & \(6.3\times 10^{-5}\) \\ Uniformity 2D & 0.964 & 0.008 & \(7.6\times 10^{-5}\) \\ Kurtosis 2D & 0.900 & 0.008 & \(8.5\times 10^{-5}\) \\ Skewness 2D & 0.922 & 0.026 & \(6.7\times 10^{-5}\) \\ Matrix Mean & 0.997 & 0.045 & \(3.7\times 10^{-4}\) \\ Matrix Variance & 0.932 & 0.021 & \(4.1\times 10^{-5}\) \\ Matrix Entropy & \(-\)0.960 & 0.01 & \(4.9\times 10^{-5}\) \\ Matrix Energy & 0.957 & 0.011 & \(7.0\times 10^{-5}\) \\ Matrix IMC1 & 0.967 & 0.007 & \(1.2\times 10^{-4}\) \\ Matrix IMC2 & \(-\)0.984 & 0.002 & \(1.9\times 10^{-4}\) \\ Matrix Cluster Prominence & \(-\)0.940 & 0.017 & \(1.3\times 10^{-4}\) \\ Matrix Cluster Contrast & \(-\)0.908 & 0.033 & \(1.6\times 10^{-5}\) \\ Matrix Cluster Tendency & \(-\)0.961 & 0.009 & \(7.2\times 10^{-5}\) \\ Matrix Cluster Homogeneity1 & \(-\)0.931 & 0.022 & \(9.6\times 10^{-6}\) \\ Matrix Cluster Homogeneity2 & \(-\)0.908 & 0.033 & \(1.6\times 10^{-5}\) \\ Cube Variance & 0.928 & 0.023 & \(4.6\times 10^{-3}\) \\ Cube Entropy & \(-\)0.954 & 0.012 & \(1.8\times 10^{-2}\) \\ Cube Energy & 0.956 & 0.011 & \(6.9\times 10^{-5}\) \\ Cube IMC1 & 0.974 & 0.005 & \(4.8\times 10^{-3}\) \\ Cube IMC2 & \(-\)0.991 & 0.001 & \(2.5\times 10^{-4}\) \\ Cube Cluster Prominence & \(-\)0.944 & 0.016 & \(1.8\times 10^{-3}\) \\ Cube Cluster Tendency & \(-\)0.961 & 0.009 & \(1.7\times 10^{-3}\) \\ \hline \end{tabular}
\end{table} 
Table 1: Pearson correlation coefficients and significance level for CT-derived imaging features, which exhibit correlation with Ki-67 marker. In addition to the univariate analyses presented above, multiple regression modeling was also employed for the CT and the MRI-derived imaging features. The multiple regression analyses for the CT-derived radiomics utilized all seven features denoted in Table 1. All of the features were set as independent variables, while the Ki-67 values were designated as a dependent variable.