Question

question 24 of 25
which of these r - values represents the weakest correlation?
a. - 0.75
b. - 0.15
c. - 0.05
d. - 0.35

Explanation:

Step1: Recall the rule of correlation strength

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 \(r=-0.15\), \(\vert r\vert=\vert-0.15\vert=0.15\)
• For \(r = - 0.05\), \(\vert r\vert=\vert-0.05\vert=0.05\)
• For \(r=-0.35\), \(\vert r\vert=\vert-0.35\vert = 0.35\)

Step3: Compare the absolute values

We compare \(0.75\), \(0.15\), \(0.05\), and \(0.35\). Since \(0.05<0.15<0.35<0.75\)

Answer:

C. \(-0.05\)