Which correlation coefficient best represents a moderate relationship showing fewer anxiety symptoms in people who report higher life satisfaction (hint: negative correlation)?Group of answer choices–0.53+0.13+0.78–0.21
Question
Which correlation coefficient best represents a moderate relationship showing fewer anxiety symptoms in people who report higher life satisfaction (hint: negative correlation)?Group of answer choices–0.53+0.13+0.78–0.21
Solution
The correlation coefficient that best represents a moderate relationship showing fewer anxiety symptoms in people who report higher life satisfaction (a negative correlation) is -0.53.
Here's why:
- Correlation coefficients range from -1 to +1.
- A positive correlation (+) means that as one variable increases, the other also increases. A negative correlation (-) means that as one variable increases, the other decreases.
- The closer the correlation coefficient is to +1 or -1, the stronger the relationship between the variables. The closer the coefficient is to 0, the weaker the relationship.
- In this case, we're looking for a moderate negative correlation, which means we're looking for a negative number that is not too close to -1 but also not too close to 0.
- Out of the options given, -0.53 is the only one that fits these criteria. It's negative, indicating that as life satisfaction increases, anxiety symptoms decrease, and it's moderate in strength.
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