QUESTION IMAGE
Question
order the correlation coefficients from weakest to strongest negative correlation. -0.82 -0.59 -0.37 -0.18
Step1: Recall correlation - strength rule
The closer the absolute - value of the correlation coefficient is to 1, the stronger the correlation. For negative correlations, we compare the absolute - values.
Step2: Calculate absolute - values
$|-0.18| = 0.18$, $|-0.37| = 0.37$, $|-0.59| = 0.59$, $|-0.82| = 0.82$
Step3: Order by absolute - value
Since $0.18<0.37<0.59<0.82$, the order of the original negative correlation coefficients from weakest to strongest negative is $- 0.18$, $-0.37$, $-0.59$, $-0.82$
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$-0.18$, $-0.37$, $-0.59$, $-0.82$