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Module 1: Coefficient

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The coefficient of determination

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XSIQ
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Core Mathematics - The coefficient of determination

The coefficient of determination

Graphics calculator display for linear regression.

The coefficient of determination (r) is a numerical value obtained by
squaring Pearson's correlation coefficient. It tells us the percentage of
the variance of the dependent variable that can be accounted for by its
relationship with the independent variable.

From the example in the previous section (height and weight of Year 12
students), the display from the graphics calculator looked like this.

r = 0.976

r = (0.976)

r = 0.953

This means that 95% of the variance in weight can be accounted for by
variation in height.

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