PCA  Analysis
PCA was performed to determine if there was a way to improve the linear regression by reducing the number of predictor variables. While some reduction is possible overall the PCA confirmed that the data was not heavily cross correlated.

Statistical tool Decision Tree Analysis

Scatter Plots
The scatter plots for the different variables were clustered with the assistance of plotting in order to facilitate a comparison of the distributions of the variables.

Results Clustering
Using ggplots we have clustered the scatter plots for multiple variables that compare their distributions