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Which is Most Likely the Correlation Coefficient For the Set of Data Shown? –0.91 –0.35 0.35 0.91

Answer :

–0.91

–0.35

0.35

0.91

The correlation coefficient is a measure of the strength and direction of the relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

Given the set of data: –0.91, –0.35, 0.35, 0.91

To find the most likely correlation coefficient, we need to consider the pattern and the values:

The first two values are negative, and the last two values are positive.

The absolute values of the numbers are the same (0.91).

This suggests a strong negative correlation because the signs are different, and the values are relatively close. The most likely correlation coefficient is therefore –0.91.

So, the correct option is –0.91

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