Question

suppose there is a relationship between independent and dependent variables represented by a scatterplot. which statement is correct?

• the independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right.
• the independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.
• the dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right.
• the dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right.

Explanation:

Analyze variable roles in relationships

By definition, the independent variable is the variable that is manipulated or assumed to influence change in the dependent variable.

Evaluate direction of association

A relationship between variables exists whether the association is positive (points go up from left to right) or negative (points go down from left to right).

Identify the correct statement

The second option correctly states that the independent variable influences change in the dependent variable, regardless of whether the points on the scatterplot go up or down from left to right.

Answer:

• The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right.
• The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right. (Correct answer)
• The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right.
• The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right.