To avoid dots, you can set to null .
When you do this, your graph will have a gap between zero points, so you need to set connectNulls to true .
series: [{ data: [ [Date.UTC(2010, 0, 1), 29.9], [Date.UTC(2010, 0, 2), null], [Date.UTC(2010, 0, 3), 106.4], [Date.UTC(2010, 0, 4), null], [Date.UTC(2010, 0, 5), 75], [Date.UTC(2010, 0, 6), 129.2], [Date.UTC(2010, 0, 7), null], [Date.UTC(2010, 0, 8), null], [Date.UTC(2010, 0, 9), null], [Date.UTC(2010, 0, 10), 176.0] ] }], plotOptions: { series: { connectNulls: true } }
demonstration