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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