Correlation coefficient

r measures the strength of a linear relationship. CAPS Grade 12 definition, worked NSC example and related statistics practice.

r measures the strength of a linear relationship.

Definition

The correlation coefficient r lies between −1 and 1. Values near ±1 indicate a strong linear relationship, values near 0 indicate almost none, and the sign shows the direction.

Worked example

r = −0,92 indicates a strong negative linear relationship.

Hours studied against marks gives r = 0,87: a strong positive linear relationship, so more hours tend to go with higher marks. It does not prove that the extra hours caused the higher marks.

Where it appears in the exam

Paper 2 asks for r from a calculator and a description of the strength and direction of the relationship.

Step-by-step method

  1. Enter the paired data in regression mode.
  2. Read off r.
  3. State the direction: positive or negative.
  4. State the strength: strong (near ±1), moderate, or weak (near 0).

Common mistake

Calling a strong negative correlation weak because the number is negative.

Related statistics terms

Frequently asked questions

What does correlation coefficient mean in Grade 12 Maths?

The correlation coefficient r lies between −1 and 1. Values near ±1 indicate a strong linear relationship, values near 0 indicate almost none, and the sign shows the direction.

Which NSC paper tests correlation coefficient?

Correlation coefficient belongs to the Statistics section of CAPS Grade 12 Mathematics, which is examined in Paper 2.

How do I practise questions involving correlation coefficient?

Snap a question that uses correlation coefficient into the Snap&Learn AI solver, or work through the statistics topic guide and NSC past papers.

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