Question

match each data relationship with a type of correlation.
y does not change based on changes in x.
y tends to increase as x increases.
y tends to decrease as x increases.
no correlation
negative correlation
positive correlation

Explanation:

• When \(y\) does not change based on changes in \(x\), there is no relationship between \(x\) and \(y\), so it is no correlation.
• When \(y\) tends to increase as \(x\) increases, the two variables move in the same direction, which is a positive correlation.
• When \(y\) tends to decrease as \(x\) increases, the two variables move in opposite directions, which is a negative correlation.

Answer:

• \(y\) does not change based on changes in \(x\) → no correlation
• \(y\) tends to increase as \(x\) increases → positive correlation
• \(y\) tends to decrease as \(x\) increases → negative correlation