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: Calculate absolute values of correlation coefficients

The absolute value of Student A's \( r\) is \(| - 0.87|=0.87\).
The absolute value of Student B's \( r\) is \(| - 0.78| = 0.78\).
The absolute value of Student C's \( r\) is \(|0.79|=0.79\).
The absolute value of Student D's \( r\) is \(|0.86| = 0.86\).

Step2: 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