Which of the following represents a weak positive correlation?
A. 0.9
B. 0.2
C. -0.9
D. 0
The Correct Answer and Explanation is :
The correct answer is B. 0.2.
Explanation of Correlation Coefficients
Correlation coefficients range from -1 to +1, providing a measure of the strength and direction of a linear relationship between two variables. A positive correlation indicates that as one variable increases, the other tends to increase as well, while a negative correlation indicates that as one variable increases, the other tends to decrease. Here’s a breakdown of the options:
- A. 0.9: This represents a strong positive correlation. Values close to +1 indicate a very strong relationship where changes in one variable are closely associated with changes in the other. For example, if you were looking at the relationship between hours studied and exam scores, a correlation of 0.9 would suggest that increases in study hours are closely related to increases in scores.
- B. 0.2: This represents a weak positive correlation. A value around 0.2 indicates a slight tendency for the variables to move together, but the relationship is weak. This means that while there is some association, it is not strong enough to predict one variable based on the other reliably. For instance, there might be a weak positive correlation between the number of hours spent exercising and overall happiness; more exercise could be linked to higher happiness levels, but other factors likely play a more significant role.
- C. -0.9: This represents a strong negative correlation. A value of -0.9 indicates that as one variable increases, the other decreases significantly, showing a strong inverse relationship.
- D. 0: A correlation of 0 indicates no relationship between the two variables, meaning changes in one do not affect the other.
In summary, option B. 0.2 indicates a weak positive correlation, suggesting that while there may be a slight positive association, it is not strong enough to imply a consistent relationship.