QUESTION IMAGE
Question
which r - value represents the strongest negative correlation? -0.7 -0.22 0.38 0.9
Step1: Recall correlation - r - value concept
The strength of a negative correlation is determined by the absolute - value of the correlation coefficient (r). The closer the absolute - value of r is to 1, the stronger the negative correlation.
Step2: Calculate absolute - values of given r - values
For r = 0.9, |0.9|=0.9 (this is a positive correlation, so we ignore it). For r = 0.38, |0.38| = 0.38 (positive correlation, ignore). For r=-0.22, | - 0.22|=0.22. For r=-0.7, | - 0.7| = 0.7.
Step3: Compare absolute - values for negative r - values
We are comparing 0.22 and 0.7. Since 0.7>0.22, the r - value of - 0.7 represents the stronger negative correlation among the negative r - values.
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-0.7