The complete figure set (28 images) is available in the online journal.

(a) Top: the Kepler photometry for KOI-1288 after phase-folding to the derived ephemeris. The large circles represent 30-minute bins of the raw photometry. Bottom: the RVs after removing instrumental offsets and phase-folding the data to the derived ephemeris. In each panel, the 1σ (darkest), 2σ, and 3σ (brightest) extents of the models are shown for reference. (b) Top: the Kepler photometry for KOI-1416 centered on the transit and occultation after phase-folding to the derived ephemeris. The large circles represent 30-minute bins of the raw data. Bottom: the APOGEE-N RVs after phase-folding the data to the derived ephemeris. In each panel, the 1σ (darkest), 2σ, and 3σ (brightest) extents of the models are shown for reference.