Line charts of variable thickness in a series

I'm trying to create a line chart where a small subset of the line [i.e. between points 1 and 3] has a different thickness than the rest of the line in order to highlight that region. Any ideas as to how to create that (or if it's even possible in this release of Numbers)?

Thanks, but what I'm really trying to do is change a subset of that line's thickness.
I don't think it's possible using a line chart, though it would be if I could use an XY-Scatter chart with lines. The trick there would be to have two series with one overlapping point, and to set the different thicknesses for the different series. Unfortunately, this requires Scatter Lines, which (if I'm not mistaken, and I do hope I am), Numbers can't do.

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