which r - value represents the weakest correlation? - 0.75 - 0.27 0.11 0.54
which r - value represents the weakest correlation? - 0.75 - 0.27 0.11 0.54
Answer
Explanation:
Step1: Recall the property of correlation coefficient
The strength of a correlation is determined by the absolute value of the (r -)value ((\vert r\vert)). The closer (\vert r\vert) is to (0), the weaker the correlation.
Step2: Calculate the absolute values
- For (r=- 0.75), (\vert r\vert=\vert-0.75\vert = 0.75)
- For (r=-0.27), (\vert r\vert=\vert-0.27\vert=0.27)
- For (r = 0.11), (\vert r\vert=\vert0.11\vert = 0.11)
- For (r = 0.54), (\vert r\vert=\vert0.54\vert=0.54)
Step3: Compare the absolute values
Since (0.11<0.27<0.54<0.75)
Answer:
(0.11) (the option with (r = 0.11))