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Which of these r-values represents the strongest correlation?
A. - 0.5
B. - 0.7
C. - 0.4
D. - 0.6
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Answer
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Step 1:: Understand the problem
We are given four correlation coefficients (r-values) and asked to identify the one that represents the strongest correlation. The r-value can range from - 1 to 1, where - 1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship. The stronger the correlation, the closer the r-value is to - 1 or 1.
Step 2:: Compare the given r-values
Of the given options, we have the following r-values: A. - 0.5 B. - 0.7 C. - 0.4 D. - 0.6
Step 3:: Identify the strongest correlation
To identify the strongest correlation, we need to find the r-value closest to - 1 or 1. In this case, all the given r-values are negative, so we are looking for the one closest to - 1.
Step 4:: Select the answer
Comparing the given r-values, we find that: - 0.5 < - 0.4 < - 0.6 < - 0.7 Since - 0.7 is the farthest from 0 and closest to - 1, it represents the strongest negative correlation.
Final Answer
The r-value that represents the strongest correlation is - 0.7 (option B).
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