Results of our MCMC fitting procedure. Panel a: expected mass of the nontransiting planet Kepler-160 d as a function of its orbital period. Dots signify mean values, and error bars illustrate the posterior distribution with 34% of the sample contained in both positive and negative directions from the mean, respectively. The scaling of the ordinate is logarithmic. The orbital periods of Kepler-160 b and c and the orbital MMRs with planet c that we tested are indicated with vertical dashed lines (see labels). Two solutions with very similar probabilities exist for both the 5:2 and 7:2 MMRs. Panel b: expected RV amplitude of the host star due to the orbital motion of Kepler-160 d as a function of P.