Correlation (Grade 12 NSC Matric Mathematics): Flashcards

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Symbol for linear correlation coefficient

rr

Range of correlation coefficient rr

r∈[−1,1]r \in [-1,1]

Value of rr for perfect positive correlation

r=+1r = +1

Value of rr for perfect negative correlation

r=−1r = -1

Positive correlation: when one variable increases

The other variable also increases

Negative correlation: when one variable increases

The other variable decreases

Strong correlation range for ∣r∣|r|

0.75≤∣r∣<0.90.75 \leq |r| < 0.9

Moderate correlation range for ∣r∣|r|

0.5≤∣r∣<0.750.5 \leq |r| < 0.75

Does correlation imply causation?

No, correlation does NOT imply causation

Formula for correlation coefficient rr

r=b×σxσyr = b \times \frac{\sigma_x}{\sigma_y}

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