Hello again Leo

If you want the charts to follow table filtering, then both the page and the chart need to be displayed on the same page. Also, for the filters to be shown, the table must be present as well.

Now, there is a way to simply hide the table using CSS, leaving only the chart and the filters. Anyone who knows CSS will be able to still display the table if they were to inspect the page, and simply change the properties.

Since you need to show the filters, a simple CSS like this would not be useful, because it'd hide the filters too:

.wpdt-c .wpDataTables.wpDataTablesWrapper {
display: none !important;
}

So, instead you would first need to disable the following in table settings:

"Show X entries" drop-down; "Info Block" from Display tab:

"Enable main search block" from Sorting and Filtering tab:

And "Table Tools" from Table Tools tab:

Then, you can hide the table, leaving the filters above the chart like this:

<style>
.wpdt-c .wpDataTablesWrapper table {
display: none !important;
}
</style>
[wpdatatable id=1]
[wpdatachart id=1]

And that's it. This is how you'd create a page where you'd have Chart #1 dependent on wpDataTable #1 so it follows filtering, and the table hidden using CSS.

I hope that helps