Question

when a scatterplot is created from a table of values, which statement is correct?
it is possible for two points to have the same x - coordinate and the same y - coordinate.
it is possible for two points to have the same x - coordinate, but it is impossible for them to have the same y - coordinate.
it is possible for two points to have the same y - coordinate, but it is impossible for them to have the same x - coordinate.
it is impossible for two points to have the same x - coordinate or the same y - coordinate.

Explanation:

In a scatter - plot, multiple data points can have the same \(x\) - coordinate and the same \(y\) - coordinate. For example, if we have two identical data entries in the table (same independent and dependent variable values), they will plot as the same point (same \(x\) and \(y\)).
For the claim that “it is possible for two points to have the same \(x\) - coordinate, but it is impossible for them to have the same \(y\) - coordinate” and “it is possible for two points to have the same \(y\) - coordinate, but it is impossible for them to have the same \(x\) - coordinate” and “it is impossible for two points to have the same \(x\) - coordinate or the same \(y\) - coordinate” are wrong. There is no such rule in scatter - plot construction that restricts \(x\) or \(y\) values from repeating.

Answer:

It is possible for two points to have the same \(x\) - coordinate and the same \(y\) - coordinate.