Honestly this looks more like a repeated measures linear model to me rather than a true time series. I would suggest you investigate an ANCOVA approach where your model would be v3= a + b*x1 +c*x2+ ....if you google ANCOVA regression analysis you should find lots of info on the ols approach to your regression add missing data to your query and that will give you options depending on your fav stat package. Best wishes, David Booth