A scatter diagram shows that as the value of x increases, the value of y decreases in an approximately linear pattern. The product-moment correlation coefficient for this data is most likely to be which of the following?

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Question

A scatter diagram shows that as the value of x increases, the value of y decreases in an approximately linear pattern. The product-moment correlation coefficient for this data is most likely to be which of the following?

Accepted Answer

-0.78 — -0.78 indicates a strong negative correlation, which matches a pattern where y decreases as x increases in a near-linear way. Option A (0.85) represents strong positive correlation. Option B (0.03) represents virtually no correlation. Option D (-0.02) represents virtually no correlation, just with a negative sign.

Answer

-0.02

Answer

0.85

Answer

-0.78

Answer

0.03

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