Strength of a Linear Relationship: The Correlation Coefficient (VCE SSCE General Mathematics): Flashcards

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Strength of a Linear Relationship: The Correlation Coefficient
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Correlation coefficient definition

Numerical measure of how closely points cluster around a line

Symbol for Pearson's correlation coefficient

rr

Range of values for rr

Between 1-1 and +1+1, inclusive

Meaning of r=+1r = +1

Perfect positive linear association, points on upward line

Meaning of r=1r = -1

Perfect negative linear association, points on downward line

Meaning of r=0r = 0

No linear association or pattern in the data

What the sign of rr indicates

Direction of the linear association (positive or negative)

What the magnitude of rr indicates

Strength of the linear relationship

Range for strong positive association

0.75r10.75 \leq r \leq 1

Three conditions for using correlation coefficient

Variables numeric, association linear, no outliers

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