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I see where you want to take this, however there is some complexity when evaluating user level stats at the day and month level.  When you track by day the user stats get cloudy.  This is because this is an advanced user segmentation.  So when we track this at the day level you get users that for the period you are evaluating that met the 3 conditions (time on site > 400 secs, > 7 pageviews, and > 4 sessions).  This is hard to explain so let me try:

Say on Monday 5 users hit the criteria

On Tuesday 6 users hit the criteria.  However 2 of these users also met the criteria on Monday and visited the site again

If you look at this by day you see 5 on Monday and 6 on Tuesday

If you look at this by month you see a total of 9

For this reason it is really best to look at Qweb by month as the session criteria of 4 or more you really need to give it time to accrue.  Looking at the lagging effect of highly engaged users on sales makes sense but would require a different approach.

There is a correlation between Qweb and Sales.  I will post that next.