Whether you can produce such a line chart or not is dependent on how you 
want your points connected.  Do you want a single line connecting all points 
(even when one day has multiple points), or do you want several lines, each 
connecting to no more than one point per day?

If you want multiple lines, then the LineCharts (
http://code.google.com/apis/chart/interactive/docs/gallery/linechart.html) 
are what you want to use.  If you want a single line that passes through all 
points, then you *might* be able to get what you want using the 
ScatterCharts (
http://code.google.com/apis/chart/interactive/docs/gallery/scatterchart.html
).

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