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5. The following image was created from the singular value decomposition of a matrix containing Supreme court data when chief Roberts has presided. 0.4 0.2

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5. The following image was created from the singular value decomposition of a matrix containing Supreme court data when chief Roberts has presided. 0.4 0.2 Justice JPStevens SDOConnor Scalia AMKennedy DHSouter CThomas RBGinsburg SG Breyer GRoberts SAAlito SSotomayor Ekagan NMGorsuch BMKavanaugh SV 2: 19.400000000000002% 0.0 -0.2 -0.4 0.00 -0.40 -0.35 -0.30 -0.25 -0.20 -0.15 -0.10 -0.05 SV 1: 47.699999999999996% (a) (Opts) Does this planar view seem to contain most of the important characteristics of the data? Explain. (b) (Opts) Draw three conclusions with regards to supreme court justice decisions based on the plot. 5. The following image was created from the singular value decomposition of a matrix containing Supreme court data when chief Roberts has presided. 0.4 0.2 Justice JPStevens SDOConnor Scalia AMKennedy DHSouter CThomas RBGinsburg SG Breyer GRoberts SAAlito SSotomayor Ekagan NMGorsuch BMKavanaugh SV 2: 19.400000000000002% 0.0 -0.2 -0.4 0.00 -0.40 -0.35 -0.30 -0.25 -0.20 -0.15 -0.10 -0.05 SV 1: 47.699999999999996% (a) (Opts) Does this planar view seem to contain most of the important characteristics of the data? Explain. (b) (Opts) Draw three conclusions with regards to supreme court justice decisions based on the plot

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