Data Visualizationhard
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In a hexagonal binning plot, the intensity II of a cell is defined as I=nAI = \frac{n}{A}, where nn is the count of points and AA is the area of the hexagon with side length ss. If A=332s2A = \frac{3\sqrt{3}}{2}s^2, and we perform a coordinate transformation where all points xix_i are scaled by a factor kk, what is the relationship between the original intensity II and the new intensity II' given the same number of points nn?