Multiple Choice
A scatterplot shows points that lie close to a straight line sloping downward from left to right. Which statement best describes the linear correlation between the two variables?
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11. Correlation
Scatterplots & Intro to Correlation
Multiple Choice
Which table of paired values shows a negative correlation between and ?
A
Table A: and
B
Table D: and
C
Table C: and
D
Table B: and
Verified step by step guidance1
Understand that a negative correlation between variables \(x\) and \(y\) means that as \(x\) increases, \(y\) tends to decrease. This relationship is often visualized as a downward slope when plotting \(y\) against \(x\).
Look at each table and observe the pattern of \(y\) values as \(x\) increases. For example, in Table A, \(x\) increases from 1 to 4, and \(y\) decreases from 8 to 2, which suggests a negative relationship.
In Table B, notice that as \(x\) increases, \(y\) also increases (from 2 to 8), indicating a positive correlation, not negative.
In Table C, \(y\) remains constant at 5 regardless of \(x\), which means there is no correlation between \(x\) and \(y\).
In Table D, \(y\) values do not consistently increase or decrease with \(x\) (values go 3, 7, 2, 6), so this does not show a clear negative correlation.
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