The document provides a guideline for interpreting correlation coefficients. It explains that correlation coefficients range from -1 to 1, with -1 indicating a perfect negative correlation and 1 indicating a perfect positive correlation. It then provides a rule of thumb for classifying the strength of correlation based on the coefficient value, with higher positive or negative values indicating stronger correlations.

1. Guideline for Interpreting
Correlation Coefficient
by
Ith Phanny
To accompany: International Mathematics
For the Middle Year 5
by Alan McSeveny, Rob Conway, Steve Wilkes, and Michael Smith
Copyright  Pearson Australia 2009
ITH PHANNY

2. Correlation Coefficient
Interpretation Guideline
The correlation coefficient (r) ranges from -1
(a perfect negative correlation) to 1 (a perfect
positive correlation). In short, −1 ≤ 𝑟 ≤ 1.
0 0.2 0.4 1−1 −0.8 −0.6 −0.2−0.4 0.6 0.8
Negligible or
no correlation
Moderate
correlation
Weak
correlation
Strong
correlation
Very
strong
correlation
Weak
correlation
Moderate
correlation
Strong
correlation
Very
strong
correlation
Negative correlation Positive correlation
ITH PHANNY

3. Correlation Coefficient
Interpretation Guideline
Rule of thumb:
 0.0 = |r|: no correlation
 0.0 < |r| < 0.2 : very weak correlation
 0.2 ≤ |r| < 0.4 : weak correlation
 0.4 ≤ |r| < 0.6 : moderately strong correlation
 0.6 ≤ |r| ≤ 0.8 : strong correlation
 0.8 ≤ |r| < 1.0 : very strong correlation
 1.0 = |r| : perfect correlation
ITH PHANNY