Measuring Correlation (Leaving Cert Mathematics): Flashcards

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Measuring Correlation
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Definition of correlation

Strength & direction of relationship between 2 variables

Symbol for correlation coefficient

rr

Range of correlation coefficient rr

Between −1-1 and +1+1

Value of rr for perfect positive correlation

r=1r = 1

Value of rr for perfect negative correlation

r=−1r = -1

Value of rr for no correlation

r=0r = 0

Pattern in perfect positive correlation

All points lie exactly on an upward straight line

Pattern in perfect negative correlation

All points lie exactly on a downward straight line

rr values between 0 and 1 indicate

Positive correlation

rr values between -1 and 0 indicate

Negative correlation

What determines correlation strength?

How close rr is to 11 or −1-1

Meaning of r=0r = 0

No linear relationship (not no relationship at all)

What determines if correlation is strong or weak?

How close points are to a straight line

Direction of positive correlation

Both variables increase together

Direction of negative correlation

One variable decreases as other increases

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