radius to stellar radius of

$$\Delta(R_{p}/R_{star}) \approx \frac{1}{2}\frac{\Delta d}{d}(R_p/R_{star})$$

We used stellar atmosphere models (ATLAS9, @Kurucz1993) to generate synthetic spectra of the star and a spot with the maximum temperature contrast of 1500K cooler than the surrounding photosphere [@Berdyugina2005].

If we rearrange the above equations for $\Delta f(\lambda_{0},t)$, we can estimate the percentage of total dimming required to bring our derived $R_P/R_*$ values into agreement with those of [@Hebrard2013]. We find that the total dimming must be $>12\%$ at a reference wavelength of 6000Å, considerably higher than the 1% amplitude measured by [@Hebrard2013]. As a result of this, we do not believe that unocculted spots are the cause of the discrepancy in the $R_P/R_*$ values resulting from the spot model.

To calculate what effect unocculted spots have on the shape of our transmission spectra, we used a total dimming of 1% at a reference wavelength of 6000Åto calculate $\Delta(R_{P}/R_{*})$ in each of our 3 light curves. The difference in $\Delta(R_{P}/R_{*})$ between the red and the blue light curves is 10 times smaller than the 1 sigma error bars and so unocculted spots do not affect the shape of our transmission spectrum (Fig. \[fig:trans\_spec\]) or the conclusions we draw from it.

