Question

match the correlation coefficients with their scatterplots. select the letter of the scatterplot below which corresponds to the correlation coefficient (click on image for a larger view.) note: you can earn partial credit on this problem. r = -0.595 r = -0.99 r = 0.744 r = 0.988 preview my answers submit answers you have attempted this problem 0 times.

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient \(r\) ranges from - 1 to 1. A value close to 1 indicates a strong positive linear - relationship, a value close to - 1 indicates a strong negative linear - relationship, and a value close to 0 indicates a weak or no linear relationship.

Step2: Analyze scatter - plots

1. For \(r=-0.595\): This is a negative correlation. The scatter - plot should show a general downward trend, but not a very strong one.
2. For \(r = - 0.99\): This is a very strong negative correlation. The points in the scatter - plot should be closely aligned in a downward - sloping pattern.
3. For \(r=0.744\): This is a positive correlation. The scatter - plot should show a general upward trend.
4. For \(r = 0.988\): This is a very strong positive correlation. The points in the scatter - plot should be closely aligned in an upward - sloping pattern.

Answer:

We need the actual labels of the scatter - plots (A, B, C, D etc.) to give a specific answer. But in general:

• The scatter - plot with a weak downward trend corresponds to \(r=-0.595\).
• The scatter - plot with a strong downward trend corresponds to \(r=-0.99\).
• The scatter - plot with a moderate upward trend corresponds to \(r = 0.744\).
• The scatter - plot with a strong upward trend corresponds to \(r=0.988\).