Question

select all of the correlation coefficients that represent a linear model with a weak correlation
a - 0.103
b - 0.982
c 0.907
d - 0.618
e 1
f 0.204

Explanation:

The correlation coefficient \(r\) measures the strength and direction of a linear relationship. The closer \(|r|\) is to \(0\), the weaker the linear correlation.

• For \(A\): \(| - 0.103|=0.103\) which is close to \(0\).
• For \(B\): \(| - 0.082| = 0.082\) which is close to \(0\).
• For \(C\): \(|0.007|=0.007\) which is close to \(0\).
• For \(D\): \(| - 0.618|=0.618\) (moderate - strong correlation).
• For \(E\): \(|1| = 1\) (perfect correlation).
• For \(F\): \(|0.204|=0.204\) which is relatively close to \(0\) (weak correlation compared to values like \(0.8\) etc.).

Answer:

A. \(-0.103\), B. \(-0.082\), C. \(0.007\), F. \(0.204\)