1 of 8 0-day streak

Calculate and interpret the coefficient of determination

Question 1 of 8

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In a bivariate investigation, rainfall (mm) is explanatory and stream inflow (ML) is the response. The reported correlation is r = 0.7

Interpret explained variation for a simple least-squares linear model with an intercept. It is a proportion of observed response variation relative to the mean-only baseline, not a causal effect or a percentage of cases

(a)1 mark

Find the coefficient of determination as a decimal. Give the decimal to 2 decimal places

r² Format: 2 d.p.

(b)1 mark

Select the correct interpretation of your result from part (a)

The magnitude of r, without squaring it, gives the proportion of variation in stream inflow (ML) explained by variation in rainfall (mm)

Your result from part (a) is the proportion of variation in stream inflow (ML) explained by variation in rainfall (mm)

Your result from part (a) is the proportion of variation in rainfall (mm) explained by variation in stream inflow (ML)

Your result from part (a) keeps the sign of r and indicates the direction of the association