Initially the issue of gaps and isolated measures in line plots was something that needed special code intervention.  However now that feature is supported. 

Official help doc info:

Creating a Continuous Chart with Missing Date Values (tessituranetwork.com)

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NB/ To make these modifications below you'll need to edit your widgets script and add these special scripts in. That guide is HERE

From Chris Wallingford
https://community.tessituranetwork.com/tessitura_software_forums/f/tessitura_shared_reports-9/29770/data-markers-appearing-when-turned-off

JOINING THE DOTS

Points on the original line that are isolated, single data-points not immediately preceded or followed by another non-null data-point of the x-axis, [can be linked but] a marker dot will still be rendered on the line chart:

widget.on("beforeviewloaded",function(scope, args){
args.options.plotOptions.series.connectNulls = true;
});

REMOVING THE MARKERS

Expanding this script, we can iterate through all series lines, and all data points on each line to explicitly remove the marker dots. This will remove the markers as shown below, however, any series with only one data-point in the whole widget will disappear from the chart altogether. This may be a non-issue in your data however.

widget.on("beforeviewloaded",function(scope, args){
args.options.plotOptions.series.connectNulls = true;
});
     
widget.on('render', function(sender,se){
for (var i = 0; i < sender.queryResult.series.length; i++ ) {
    for (var j = 0; j < sender.queryResult.series[i].data.length; j++) {
        sender.queryResult.series[i].data[j].marker.enabled = false;
         }
    }
}
)

INTERPOLATING LAST POINT

Joining two points where there is a gap of multiple days might not be accurate.  On a daily sales graph, if you sold tickets in Feb 3rd and then again in Feb 10th you might not want to draw a straight line between those points indicating sales though our the quiet week.  A more accurate option might be to infer that the ticket sales amount stays the same from Feb 3rd to Feb 9th before increasing on Feb 10th.

Chris gives the answer here https://community.tessituranetwork.com/tessitura_software_forums/f/tessitura_shared_reports-9/29770/data-markers-appearing-when-turned-off/82722#82722

Please update the panelName variable with the exact name of the value in your widget. In my widget I'd named my value "RSUM Total Ticket Count".

widget.on('processresult', function(se, ev){
     
    var panelName = 'RSUM Total Ticket Count'
     
    var series = ev.result.series.find(el => el.name == panelName)
    var prevValue = series.data[0].y
     
    $.each(series.data, function(index, value){
        if(value.y == null)
            value.y = prevValue
        else
            prevValue = value.y;
    })
     
})
      
widget.on('render', function(sender,se){
for (var i = 0; i < sender.queryResult.series.length; i++ ) {
    for (var j = 0; j < sender.queryResult.series[i].data.length; j++) {
        sender.queryResult.series[i].data[j].marker.enabled = false;
         }
    }
}
)