Does each of the following correlation coefficients indicate a weak positive correlation?
-0.1 Response area
.9 Response area
.2 Response area
(there are too boxes at the bottom you can drag and drop)
[yes] [no]
think small positive number
To determine if each of the correlation coefficients indicates a weak positive correlation, we need to understand what correlation coefficients measure and how to interpret them.
Correlation coefficient (r) quantifies the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A positive value indicates a positive relationship, a negative value indicates a negative relationship, and the absolute value indicates the strength of the relationship.
Now let's analyze each of the given correlation coefficients:
-0.1: This indicates a weak negative correlation because it has a negative value. The closeness to zero suggests a weak strength.
0.9: This indicates a strong positive correlation because it has a positive value close to +1. The proximity to +1 suggests a strong strength.
0.2: This indicates a weak positive correlation because it has a positive value. However, since it is closer to zero, it suggests a weak strength.
In summary:
-0.1: No, it indicates a weak negative correlation.
0.9: No, it indicates a strong positive correlation.
0.2: Yes, it indicates a weak positive correlation.
So, for the given correlation coefficients, two of them indicate weak positive correlation (0.2 and -0.1), and one indicates a strong positive correlation (0.9).