Question

10/8 - unit 4.1 quiz(closes at the end of class today!!!)
possible points: 10
order the following from weakest to strongest correlation:
r = -0.98
r = -0.03
r = -0.62
r = 0.42
r = 0.77

Explanation:

Step1: Understand correlation strength

The strength of a correlation is determined by the absolute - value of the correlation coefficient \(r\). The closer \(|r|\) is to 0, the weaker the correlation. The closer \(|r|\) is to 1, the stronger the correlation.

Step2: Calculate absolute - values

Calculate the absolute - value of each \(r\):
For \(r=-0.98\), \(|r| = 0.98\);
For \(r=-0.03\), \(|r| = 0.03\);
For \(r=-0.62\), \(|r| = 0.62\);
For \(r = 0.42\), \(|r| = 0.42\);
For \(r = 0.77\), \(|r| = 0.77\).

Step3: Order by absolute - value

Order the absolute - values from smallest to largest: \(0.03<0.42<0.62<0.77<0.98\).

Step4: Match with original \(r\) values

The order of the original \(r\) values from weakest to strongest correlation is: \(r=-0.03,r = 0.42,r=-0.62,r = 0.77,r=-0.98\).

Answer:

\(r=-0.03,r = 0.42,r=-0.62,r = 0.77,r=-0.98\)