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which r - value represents the strongest negative correlation? -0.7 -0.…

Question

which r - value represents the strongest negative correlation?
-0.7
-0.22
0.28
0.9

Explanation:

Step1: Recall correlation - r value concept

The correlation coefficient \(r\) ranges from - 1 to 1. A negative \(r\) - value indicates a negative correlation. The closer the absolute - value of \(r\) is to 1, the stronger the correlation.

Step2: Analyze the given options

We are looking for the strongest negative correlation among the options. The negative values are - 0.7 and - 0.22. The absolute values of the given numbers are \(|-0.7| = 0.7\), \(|-0.22|=0.22\), \(|0.38| = 0.38\), and \(|0.9| = 0.9\). Since we want a negative correlation, we ignore the positive values. Among the negative values, \(|-0.7|>|-0.22|\).

Answer:

  • 0.7