Suppose a scatterplot shows a strong positive linear relationship between variables $x$ and $y$. Which statement is supported by information presented in the graph?

• A. There is no apparent relationship between $x$ and $y$.
• B. As $x$ increases, $y$ tends to decrease.
• C. As $x$ increases, $y$ tends to increase as well.
• D. The relationship between $x$ and $y$ is nonlinear.

Answer: (C)

Verified step by step guidance

1. Understand what a scatterplot represents: it displays points corresponding to paired values of two variables, x and y, allowing us to observe the relationship between them.
2. Recognize that a 'strong positive linear relationship' means the points on the scatterplot tend to form a pattern that slopes upward from left to right, indicating that as x increases, y also increases.
3. Eliminate options that contradict this pattern: 'no apparent relationship' suggests no clear pattern, and 'y tends to decrease as x increases' implies a negative relationship, both of which do not match a strong positive linear trend.
4. Also, note that a 'linear' relationship means the points roughly follow a straight line, so the option stating the relationship is 'nonlinear' is incorrect.
5. Conclude that the statement supported by the graph is: 'As x increases, y tends to increase as well,' which aligns with the definition of a strong positive linear relationship.