Mike Robinson, your example helped.
For those who are wondering, here is what I did:
I removed:
svg.selectAll(".dot")
.data(data)
.enter().append("circle")
.attr("class", "dot")
.attr("cx", function(d) { return x(d.x); })
.attr("cy", function(d) { return y(d.y); })
.attr("r", 12);
and added:
var node = svg.selectAll("g")
.data(data)
.enter()
.append("g");
node.append("circle")
.attr("class", "dot")
.attr("cx", function(d) { return x(d.x); })
.attr("cy", function(d) { return y(d.y); })
.attr("r", 12);
node.append("text")
.attr("x", function(d) { return x(d.x); })
.attr("y", function(d) { return y(d.y); })
.text("fooLabelsOfScatterPoints");
I appended "text" tags onto "g" tags, as opposed to appending "text" tags onto "circle" tags.