How to make use of a different data model for a line chart?

I have a datamodel which is a sql query. I have a line chart on my template which is using some "Start Time" field as X-Axis. There is a chance that "Start Time" is null. In such cases the plotted point doesn't appear with x-coordinate. But I can't change the X_Axis field to some other not-null attribute due to business requirement.
I am thinking to create another datamodel which filters all "Start Time"s which are nulls and use that datamodel for the line chart that has "Start Time" as X-axis. But I don't know how to do this as whenever I try to insert a line chart from BIPublisher menu in MS_Word, I am not prompted to select the datamodel.
Can anybody tell me what I am trying is possible? If so how? If not, how do I have "Start Time" as X-axis without hassles?
Thanks,
-Vijay-

Are you able to extract the data based on the new data model in an XML file? If so, in BI publisher desktop, are you able to load the XML data via Add-Ins ->Data -> Load XML Data?
If you have been able to load the data successfully, then you need to Select Chart from the Insert Menu. When you do that, you should be able to see the Data layout on the left side of the chart dialog box. Then you should be able to drag and drop fields as necessary to create the chart. Are you having issues doing this part?
You will not be prompted to select the data model. Hope I haven't misunderstood your question.
Thanks!

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