Referring to Table 2 - Element Concentration of Glass: Perform the appropriate multivariate analysis(MANOVA approach) to compare the collected evidence to the control data.

Explain the results of the analysis and why we chose the Bayesian Approach to compare the collected evidence to the control data.

control glass-aluminum concentration collected evidence glass- aluminum concentration 0.751 0.929 0.659 0.859 0.746 0.845 0.772 0.931 0.752 0.915 0.739 0.832 0.695 0.835 0.741 0.941 0.715 0.917 0.722 0.798Collected Evidence Element Concentration Control - Element Concentration Fragment Al Ca Ba Fe Mg Fragment Al Ca Ba Fe Mg 0.929 7.666 0.022 0.124 0.267 L 0.751 6.378 0.011 0.032 0.117 2 0.859 6.838 0.018 0.112 0.227 2 0.659 5.511 0.009 0.029 0.09 3 0.845 5.943 0.018 0.107 0.22 3 0.746 6.864 0.012 0.031 0.113 4 0.931 6.424 0.02 0.117 0.262 4 0.772 7.061 0.012 0.032 0.117 5 0.915 6.205 0.02 0.114 0.258 5 0.722 6.417 0.011 0.03 0.109 6 0.832 6.842 0.021 0.122 0.209 6 0.752 7.684 0.013 0.028 0.115 7 0.835 6.916 0.02 0.123 0.229 7 0.739 7.543 0.013 0.028 0.113 8 0.941 7.59 0.023 0.128 0.27 8 0.695 7.78 0.013 0.031 0.115 9 0.917 7.574 0.023 0.168 0.264 9 0.741 7.548 0.013 0.028 0.113 10 0.798 7.472 0.019 0.122 0.202 10 0.715 7.755 0.012 0.027 0.108