In a scatter plot, what does a strong positive correlation imply?

In a scatter plot, what does a strong positive correlation imply?

• A. As one variable increases, the other tends to increase as well.
• B. As one variable increases, the other decreases.
• C. There is no relationship.
• D. Both variables are independent.

Answer: (A)

This item tests understanding of how a strong positive correlation appears in a scatter plot. A strong positive correlation means that as one variable increases, the other tends to increase as well. Visually, the data points cluster around an upward-sloping line, showing a consistent, predictable pattern. The tighter the cluster around that line, the stronger the correlation, approaching a value near +1. If the relationship were negative, you’d see a downward trend where increases in one variable correspond to decreases in the other. If there is no relationship or the variables are independent, the points would be scattered without a clear slope, showing no discernible pattern. So, the description that as one variable increases, the other tends to increase as well best captures a strong positive correlation.

This item tests understanding of how a strong positive correlation appears in a scatter plot. A strong positive correlation means that as one variable increases, the other tends to increase as well. Visually, the data points cluster around an upward-sloping line, showing a consistent, predictable pattern. The tighter the cluster around that line, the stronger the correlation, approaching a value near +1.

If the relationship were negative, you’d see a downward trend where increases in one variable correspond to decreases in the other. If there is no relationship or the variables are independent, the points would be scattered without a clear slope, showing no discernible pattern.

So, the description that as one variable increases, the other tends to increase as well best captures a strong positive correlation.