The question asks: "Which scatterplot suggests a linear relationship between $x$ and $y$?"

Analysis:

• A linear relationship means that the points roughly form a straight line (either upward or downward).
• Let's analyze each plot:

1. Scatterplot A:
   • Points do not form a clear linear pattern; they are spread out randomly.
2. Scatterplot B:
   • The points show a consistent upward trend (as $x$ increases, $y$ also increases). This is a clear positive linear relationship.
3. Scatterplot C:
   • There is no clear trend; the points are scattered irregularly.
4. Scatterplot D:
   • The points are spread in a somewhat upward pattern but not clearly linear like in B.

Conclusion:

The scatterplot that best suggests a linear relationship is scatterplot B.

Would you like me to explain linear relationships in more detail? Let me know!

Related Questions:

1. What is the difference between positive and negative linear relationships?
2. How can you calculate the line of best fit for a scatterplot?
3. What does it mean when a scatterplot shows no correlation?
4. How do we measure the strength of a linear relationship using correlation coefficients?
5. Can a scatterplot suggest a nonlinear relationship? Give examples.

Tip:

A linear relationship can be identified visually when the points roughly align along a straight line, either upward (positive) or downward (negative).