Multiple Choice
A scatterplot of two quantitative variables shows points tightly clustered around a downward-sloping line from left to right. Which statement best describes the correlation shown?
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11. Correlation
Scatterplots & Intro to Correlation
Multiple Choice
Which table of paired values (, ) shows a negative correlation (as increases, tends to decrease)?
A
Table A:
B
Table B:
C
Table C:
D
Table D:
Verified step by step guidance1
Understand that a negative correlation means that as the values of \( x \) increase, the values of \( y \) tend to decrease.
Look at each table and observe the pattern of \( y \) values as \( x \) increases.
For Table A, check if \( y \) decreases when \( x \) goes from 1 to 4: the pairs are (1,9), (2,7), (3,5), (4,3). Notice that \( y \) decreases as \( x \) increases.
For Table B, observe if \( y \) increases or decreases as \( x \) increases: the pairs are (1,2), (2,4), (3,6), (4,8). Here, \( y \) increases with \( x \), so this is a positive correlation.
For Tables C and D, similarly check the trend of \( y \) values with increasing \( x \). Table C has constant \( y \) values, indicating no correlation, and Table D has no clear increasing or decreasing pattern, so it does not show a consistent negative correlation.
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