AnswersAlgebra Concepts and ConnectionsInvestigating Data — TestQuestion 1
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Investigating Data — Test

Question 1 • Algebra: Concepts and Connections

Which graph shows data whose r -value is most likely closest to 1 ?

Answer
A
Image with description A graph shows both axes unnumbered. Points show an upward trend.
B
Image with description A graph shows both axes unnumbered. Points are scattered all over the graph.
C
Image with description A graph shows both axes unnumbered. Points show a downward trend.
D
Image with description A graph shows both axes unnumbered. Points show a downward trend.

Explanation

The correlation coefficient r is closest to 1 when the data have a strong positive linear relationship: as one variable increases, the other tends to increase too. Graph A shows an upward trend. A scattered graph has little correlation, while downward trends have negative r-values.

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