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Explanation:

Step1: Understand correlation coefficient

The correlation coefficient (r) ranges from - 1 to 1. A value of (r = 1) indicates a perfect positive linear - relationship, (r=-1) indicates a perfect negative linear relationship, and (r = 0) indicates no linear relationship.

Step2: Analyze scatter - plot

If the points in a scatter - plot are closely clustered around a line with a negative slope, the correlation coefficient is close to - 1. If they are closely clustered around a line with a positive slope, it is close to 1. If the points are randomly scattered, it is close to 0.

Step3: Estimate from the scatter - plot

Without seeing the actual scatter - plot, we assume the following: If the points show a strong negative linear trend, the value is close to - 0.9; if a weak negative trend, close to - 0.5; if no trend, close to 0; if a weak positive trend, close to 0.5; if a strong positive trend, close to 0.9.

Answer:

We need to see the scatter - plot to accurately pick the value. But if it shows a strong negative linear relationship, the answer is - 0.9; if a weak negative linear relationship, the answer is - 0.5; if no linear relationship, the answer is 0; if a weak positive linear relationship, the answer is 0.5; if a strong positive linear relationship, the answer is 0.9.