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@zlwestwood,
In case of line / spline chart, by default line will be broken when datapoint with null value is present. You can connect the non-null values directly by setting connectNullData property to true – which draws a dashed line to connect non-null datapoints. The type of this line can be changed by setting nullDataLineDashType property. Please refer to the code-snippet below.
... data: [{ ... type: "line", connectNullData: true, nullDataLineDashType: "solid", ... }] ...
Please take a look at this updated JSFiddle for complete code.
— Vishwas R Team CanvasJS