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I would like to make colored scatter plots where the dots are connected by lines. I have tried the following, using Joined->True to connect the dots and Mesh->Full to actually show the dots. I have tried using both PlotStyle and MeshStyle to color the lines and dots, respectively:

data1 = {{0, 1}, {1, 2}, {2, 3}};
data2 = {{0, 2}, {1, 3}, {2, 4}};
data3 = {{0, 3}, {1, 4}, {2, 5}};

ListPlot[{data1, data2, data3}, PlotRange -> All, Joined -> True, 
 Mesh -> Full, PlotStyle -> {Red, Green, Blue}, MeshStyle -> {Red, Green, Blue}]

which gives

ListPlot

Why are all of the dots blue? I would like their colors to match those of the lines (data1 should be red, data2 should be green, and data3 should be blue). Is this possible? Thank you!

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You can use PlotMarkers instead of Mesh and use an explicit graphics primitive for the marker. 

ListLinePlot[{data1, data2, data3}, PlotRange -> All, PlotStyle -> {Red, Green, Blue},
    PlotMarkers -> {Graphics[{Rectangle[]}], 0.04}]

enter image description here

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    $\begingroup$ Why bother with CurrentValue? It works just fine without it, i.e use Graphics[{Rectangle[]}], instead. $\endgroup$ – rcollyer Aug 22 '12 at 2:10
  • $\begingroup$ Using PlotMarkers also has the advantage that they work with legends (legends were not yet built in at the time when this post was written). $\endgroup$ – Szabolcs Aug 6 '15 at 12:51

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