Question

1. a study was done and concluded that there is a weak positive correlation between the number of car accidents, and the level of education of the drivers. which of the following r - values is most likely to be associated with this data?

m ( r=-0.1045 ) r ( r=0.9724 )
p ( r=-0.8945 ) s ( r=0.0958 )

Explanation:

Step1: Analyze the sign of \( r \)

Since it is a positive correlation, \( r>0 \). Options \( M(r = - 0.1045) \) and \( P(r=-0.8945) \) are negative, so they can be eliminated.

Step2: Analyze the strength based on the magnitude of \( r \)

The correlation coefficient \( r \) ranges from \( - 1\) to \(1\). A value of \(|r|\) close to \(0\) indicates a weak correlation, and a value of \(|r|\) close to \(1\) indicates a strong correlation. For \( R(r = 0.9724) \), \(|r| = 0.9724\) which is close to \(1\) (strong positive correlation). For \( S(r = 0.0958) \), \(|r|=0.0958\) which is close to \(0\) (weak positive correlation).

Answer:

\(S\)