Bivariate Data (HSC SSCE Mathematics Advanced): Flashcards

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Bivariate Data
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Bivariate data

Data about two related variables as ordered pairs of measurements

Pearson's rr

Measures strength & direction of linear correlation

Range of rr values

−1leqrleq1-1 leq r leq 1

Meaning of r=1r = 1

Perfect positive correlation; all points on upward-sloping line

Meaning of r=−1r = -1

Perfect negative correlation; all points on downward line

Meaning of r=0r = 0

No linear correlation between variables

Positive correlation

As xx increases, yy tends to increase (0<rleq10 < r leq 1)

Negative correlation

As xx increases, yy tends to decrease (−1leqr<0-1 leq r < 0)

Interpolation

Predicting values within the range of observed data

Extrapolation

Predicting outside data range; can be very misleading

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