Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which r - value represents the most moderate correlation? -0.92 -0.18 0…

Question

which r - value represents the most moderate correlation? -0.92 -0.18 0.56 0.83

Explanation:

Step1: Recall correlation strength rules

The closer the absolute - value of the correlation coefficient ($r$) is to 1, the stronger the correlation. The closer it is to 0, the weaker the correlation. Moderate correlation has an absolute - value of $r$ in the range of approximately 0.3 - 0.7.

Step2: Calculate absolute - values of given $r$ values

For $r = 0.83$, $|r|=0.83$; for $r = 0.56$, $|r| = 0.56$; for $r=-0.18$, $|r| = 0.18$; for $r=-0.92$, $|r| = 0.92$.

Step3: Identify the value representing moderate correlation

Among the absolute - values $0.83$, $0.56$, $0.18$, and $0.92$, the value $0.56$ is in the range of moderate correlation (0.3 - 0.7).

Answer:

0.56