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Figure 11. the observed fractions of optically-selected quasar pairs that have radio counterparts are almost equal amongst our bins. The error bars largely overlap. The the x and y uncertainties were calculated as described in the statistical analysis section. The straight line at 0.10 shows that the typical fraction of radio detection is $\approx 10\%$ of SDSS-selected quasars. \cite{Jiang_2007} quasars \cite{Jiang_2007}.