Which value of r indicates a stronger correlation than +0.40 0.38 -0.30 -0.80 0
The Correct Answer and Explanation is:
The correct answer is -0.80.
Explanation:
The value of r (called the correlation coefficient) measures the strength and direction of a linear relationship between two variables. It ranges from -1 to +1, where:
- +1 represents a perfect positive correlation, meaning both variables increase or decrease together.
- -1 represents a perfect negative correlation, meaning as one variable increases, the other decreases.
- 0 means there is no linear correlation between the variables.
A stronger correlation is indicated by an r value closer to either +1 or -1, while an r value closer to 0 suggests a weaker relationship.
- +0.40 represents a moderate positive correlation. As one variable increases, the other tends to increase as well, but the relationship is not extremely strong.
- +0.38 is slightly weaker than +0.40, as it is closer to 0.
- -0.30 represents a weak negative correlation, where one variable tends to decrease slightly as the other increases, but the relationship is weak.
- -0.80 represents a strong negative correlation, meaning as one variable increases, the other decreases strongly. This is the strongest correlation in the list because the absolute value of -0.80 is closer to 1 than the other values.
Thus, -0.80 is a stronger correlation compared to the other values because it is farther from 0 and indicates a stronger linear relationship, just in the opposite direction (negative correlation).
