Question

identifying the strongest correlation
four students in ms. altons class shared the correlation coefficients derived from their data as follows:
student a: ( r = - 0.87 )
student b: ( r = - 0.78 )
student c: ( r = 0.79 )
student d: ( r = 0.86 )
whose data had the strongest correlation?
○ student a
○ student b
○ student c
○ student d

Explanation:

Step1: Recall the property of correlation coefficient

The strength of a correlation is determined by the absolute value of the correlation coefficient \(r\). The closer \(|r|\) is to \(1\), the stronger the correlation.

Step2: Calculate the absolute values

For Student A: \(|r| = |- 0.87|=0.87\)
For Student B: \(|r| = |-0.78| = 0.78\)
For Student C: \(|r|=|0.79| = 0.79\)
For Student D: \(|r|=|0.86| = 0.86\)

Step3: Compare the absolute values

We compare \(0.87\), \(0.78\), \(0.79\) and \(0.86\). Since \(0.87>0.86 > 0.79>0.78\)

Answer:

Student A