The study is here.
In 30 prospective studies with 9331 cases reporting plasma α-carotene levels, summary [relative risk] was 0.80.
10% reduction of less frequent intake of carrots seems more robustly backed by the data. Hopefully, some new study provides more info how big of an effect daily carrots have; see Figure 6.
If you don’t understand the study itself or in general if you’re interested in it, it’s always a good idea to also read a good news report on it; see this and also this. They found carrot intake rather than beta-carotene, the focus of prior studies, has this association and figure 6 was just to show that they don’t have much data on daily intake of a carrot or more.