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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
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
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

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Guideline for interpreting correlation coefficient

  • 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

Editor's Notes

  1. A variable: is some characteristics of a population or sample. Data: are the observed values of a variable Bivariate data: data collected that has two variables. Correlation: a connection between sets of data. This can be negative or positive, linear or non linear.
  2. (math, science)= (2,1); (7,6); (6,7); (5,6); (4,3); (5,7); (5,6); (3,4); (2,3); (6,5).