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Which correlation coefficient best represents a strongest relationship showing fewer anxiety symptoms in people who report higher life satisfaction?Group of answer choices+0.13–0.21+0.78–0.53

Question

Which correlation coefficient best represents a strongest relationship showing fewer anxiety symptoms in people who report higher life satisfaction?Group of answer choices+0.13–0.21+0.78–0.53

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Solution 1

The correlation coefficient that best represents the strongest relationship showing fewer anxiety symptoms in people who report higher life satisfaction is -0.53.

Here's why:

Correlation coefficients range from -1 to +1. The closer the coefficient is to either -1 or +1, the stronger the relationship between the two variables. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.

In this case, we're looking for a strong relationship showing fewer anxiety symptoms (a decrease) with higher life satisfaction (an increase). This is a negative correlation because as life satisfaction goes up, anxiety symptoms go down.

Out of the given options, -0.53 is the coefficient that is closest to -1, indicating the strongest negative correlation, or the strongest relationship showing fewer anxiety symptoms with higher life satisfaction.

This problem has been solved

Solution 2

The correlation coefficient that best represents the strongest relationship showing fewer anxiety symptoms in people who report higher life satisfaction is -0.53.

Here's why:

Correlation coefficients range from -1 to +1. The closer the coefficient is to either -1 or +1, the stronger the relationship. 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.

In this case, we're looking for a strong relationship showing fewer anxiety symptoms (a decrease) with higher life satisfaction (an increase). This is a negative correlation, so we're looking at the negative coefficients, -0.21 and -0.53.

Out of these two, -0.53 is closer to -1, which means it represents a stronger relationship than -0.21. Therefore, -0.53 best represents the strongest relationship showing fewer anxiety symptoms in people who report higher life satisfaction.

This problem has been solved

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