how to deal with empty data points

I have a data set in which some data point missed for certain serials, like this:

select 'A' person,  3 days, 323 as num
union all
select 'A' p, 4 d, 400
union all
select 'A' p, 5 d, 500
union all
select 'A' p, 6 d, 600
union all
select 'A' p, 7 d, 700
union all
select 'B' p,  3 d, 323 
union all 
select 'B' p, 6 d, 450

I tried to change the property of color of emptypoint, I got these:

but what I really want is something like this, ignoring empty points, draw a line between available data points, and not trailing line after last data point. is it possible?