When examining a scatterplot, how can you determine if there is a relationship between two variables?

• A. By measuring the distance between the highest and lowest points only.
• B. By counting the total number of points in the scatterplot.
• C. By observing whether the points tend to follow a clear pattern, such as a straight line or a curve, indicating association between the variables.
• D. By checking if all points are located exactly on the $x$-axis.

Answer: (C)

Verified step by step guidance

1. Understand that a scatterplot is a graphical representation showing the relationship between two variables by plotting data points on a coordinate plane.
2. Recognize that to determine if there is a relationship between the two variables, you should look for a pattern in how the points are arranged rather than just counting points or measuring distances between extremes.
3. Observe whether the points tend to cluster around a line or curve, which suggests a possible association or correlation between the variables.
4. Note that if the points are randomly scattered without any discernible pattern, it indicates little to no relationship between the variables.
5. Remember that points all lying exactly on the x-axis would mean the y-variable is constant, which is a special case and not a general method to determine relationships.