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Question
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
Step1: Recall correlation - r 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
\(0.87>0.86>0.79>0.78\).
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Student A