A correlation coefficient of 0.2 indicates what type of relationship?
A) Strong negative linear relationship
B) Weak positive linear relationship
C) Moderate positive linear relationship
Answer (2)
A correlation coefficient of 0.2 indicates a weak positive linear relationship between two variables. This means that there is a slight tendency for one variable to increase as the other increases, but it is not a strong connection. Therefore, the correct answer option is B) Weak positive linear relationship.
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The question is asking us to indicate the type of relationship represented by a correlation coefficient of 0.2. This falls under the topic of statistics in mathematics.
In statistics, the correlation coefficient, often denoted as r , is a measure of the strength and direction of a linear relationship between two variables. The value of r ranges from -1 to 1.
Here's a breakdown of what the correlation coefficient values represent:
Strong correlation : Values close to -1 or 1 (e.g., -0.9 or 0.9) indicate a strong linear relationship. A positive value indicates a strong positive relationship, while a negative value indicates a strong negative relationship.
Moderate correlation : Values around -0.5 or 0.5 indicate a moderate linear relationship.
Weak correlation : Values close to 0, such as -0.2 or 0.2, represent a weak linear relationship.
With a correlation coefficient of r = 0.2 :
Direction : The positive sign indicates a positive relationship. This means that as one variable increases, the other variable tends to also increase, but the relationship is not strong.
Strength : The magnitude is small, which implies a weak relationship.
Therefore, the best choice for a correlation coefficient of 0.2 is:
B) Weak positive linear relationship
This answer explains that while there is a slight tendency for the variables to increase together, the relationship is not strong or pronounced.
