1 of 8 0-day streak

Calculate and interpret the coefficient of determination

Question 1 of 8

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The observed variables are floor area (m²) (explanatory) and quarterly electricity use (kWh) (response). Their reported linear 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

Calculate r². Give the decimal to 2 decimal places

r² Format: 2 d.p.

(b)1 mark

What does the coefficient of determination calculated in part (a) represent for these paired observations?

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

The magnitude of r, without squaring it, gives the proportion of variation in quarterly electricity use (kWh) explained by variation in floor area (m²)

Your result from part (a) is the proportion of variation in floor area (m²) explained by variation in quarterly electricity use (kWh)

Your result from part (a) is the proportion of variation in quarterly electricity use (kWh) explained by variation in floor area (m²)