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Fig. 11

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Planet occurrence rate as a function of stellar mass (left) and metallicity (right). The black dotted histograms show the distribution of planets, while the solid black histograms show an estimate of the completeness correction performed for the individual bins according to the procedure outlined in Sect. 6. The blue solid line represents the fitted occurrence as a function of stellar mass (left) with the metallicity set to the sample mean of [Fe/H] = -0.05 and as a function of metallicity (right) with the mass set to the sample mean of M, = 1.81 M. For a more precise prediction, the red dots give the average expected occurrence rate computed using the masses and metallicities of the stars in each bin. Note that we fit the dependence on stellar mass and metallicity simultaneously and that we show the histograms only for visualization, the fit does not rely on binning of the data.

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