The graph shows a scatter of log population density in 1 AD against log connectedness at 500 km. The weights reflect the length of the coast of countries. The slope coefficient is estimated to be 1.30, with a standard error of 1.02. The figure omits Bermuda, which is an outlier in terms of connectedness. The weighted slope (robust standard error) with Bermuda is 1.28 (1.00). When we include a control variable for the absolute latitude and its square, the slope becomes 2.35 (0.72) with Bermuda and 2.40 (0.73) without it.