Calculation of Correlation Coefficient (Leaving Cert Mathematics): Flashcards

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Calculation of Correlation Coefficient
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Symbol for correlation coefficient

rr

What correlation coefficient measures

Strength and direction of linear relationship

Range of rr

−1-1 to +1+1

Meaning of r=+1r = +1

Perfect positive correlation

Meaning of r=−1r = -1

Perfect negative correlation

Meaning of r=0r = 0

No linear correlation

nn in correlation formula

Number of data points

First step to calculate rr

Organise data: table with xx, yy, x2x^2, y2y^2, xyxy

Second step to calculate rr

Calculate sumxsum x, sumysum y, sumx2sum x^2, sumy2sum y^2, sumxysum xy

Third step to calculate rr

Substitute values into formula

Positive rr values indicate

Direct correlation

Negative rr values indicate

Inverse correlation

rr near 00 indicates

Weak or no correlation

Tool to easily find rr

Calculator

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