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Strength of associations

Strength of associations

Students often find it difficult to judge the strength of an association from the appearance of scatter plots.

Textbooks provide plots with dots showing:

  • no association
  • moderate association
  • strong association

for both positive and negative associations.

They will look similar to the diagrams below.

Association is measured with the correlation coefficient, where no association relates to a correlation of 0, a very strong positive association has a correlation near +1 and a very strong negative association has a correlation near –1.

 

Examples of scatter plots and an activity can be be found in Is There an Association? and Judging Associations.

Yes

Yes

Name Class Section
Document Year 10: Use scatter plots to investigate and comment on relationships between two numerical variables Infobox 3
Document Source Infobox 3