identifying the strongest correlation\nfour students in ms. altons class shared the correlation coefficients…

identifying the strongest correlation\nfour students in ms. altons class shared the correlation coefficients derived from their data as follows:\nstudent a: $r = - 0.87$\nstudent b: $r = - 0.78$\nstudent c: $r = 0.79$\nstudent d: $r = 0.86$\nwhose data had the strongest correlation?\n○ student a\n○ student b\n○ student c\n○ student d

identifying the strongest correlation\nfour students in ms. altons class shared the correlation coefficients derived from their data as follows:\nstudent a: $r = - 0.87$\nstudent b: $r = - 0.78$\nstudent c: $r = 0.79$\nstudent d: $r = 0.86$\nwhose data had the strongest correlation?\n○ student a\n○ student b\n○ student c\n○ student d

Answer

Explanation:

Step1: Recall correlation - coefficient concept

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 absolute - values

For Student A: $|r_A|=|- 0.87| = 0.87$; for Student B: $|r_B|=|-0.78| = 0.78$; for Student C: $|r_C|=|0.79| = 0.79$; for Student D: $|r_D|=|0.86| = 0.86$.

Step3: Compare absolute - values

We compare the values: $0.87>0.86>0.79>0.78$.

Answer:

A. Student A