Section A

An agricultural cooperative calculates the correlation coefficient (r) between annual rainfall and crop yield to be +0.92.

How should this result be interpreted?

Answer options:

There is a weak positive linear relationship between rainfall and crop yield.

There is a strong positive linear relationship between rainfall and crop yield.

Rainfall causes exactly 92% of the changes in crop yield.

There is a strong negative linear relationship between rainfall and crop yield.

How to approach this question

Look at the sign (+ or -) and the magnitude (closeness to 1 or -1). +0.92 is very close to +1.

Full Answer

B.There is a strong positive linear relationship between rainfall and crop yield.✓ Correct

The correlation coefficient (r) ranges from -1 to +1. A value of +0.92 is very close to +1, indicating a strong positive linear relationship, meaning that as rainfall increases, crop yield tends to increase proportionally. Note that correlation does not prove causation.

Common mistakes

Confusing the correlation coefficient (r) with the coefficient of determination (r squared), which explains the percentage of variation.

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