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Exploring Association Answers

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Adele and Monte are discussing graphs with negative correlation. Adele claims that only graph B has negative correlation. Monte claims that both scatterplots have a negative correlation. Graph A Graph B Which statement it true regarding their claims?

Question illustration
A
Adele is correct because only lines may have a negative slope.
B
Adele is correct because the y values increase as the x values decrease in graph A, so it shows a positive correlation.
C
Monte is correct because both graphs show a strong correlation.
D
Monte is correct because in both scatterplots, the y values decrease as the x values increase so both have a negative correlation.
2
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Which scatterplot shows no correlation?

A
On a graph, points are grouped closely together and decrease.
Option A
B
On a graph, points are grouped closely together to form a curve.
Option B
C
On a graph, points are grouped closely together and decrease.
Option C
D
On a graph, points are scattered all over the graph.
Option D
3

What type of association is shown by the scatterplot?

Question illustration
A
linear, strong
B
linear, weak
C
nonlinear, strong
D
nonlinear, weak
4

Which describes the correlation shown in the scatterplot?

Question illustration
A
There is a positive correlation in the data set.
B
There is a negative correlation in the data set.
C
There is no correlation in the data set.
D
More points are needed to determine the correlation.
5

Which statement is true regarding the traits of scatterplots?

A
The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either weak association or strong association.
B
The slope of a line is independent of whether the correlation of a scatterplot has positive or negative correlation. A scatterplot with a negative slope can have either positive correlation or negative correlation.
C
The nonlinear association of a scatterplot depends on whether it has a weak or strong correlation. A scatterplot with nonlinear association will have a strong correlation.
D
The nonlinear association of a scatterplot depends on whether it has a positive or negative correlation. A scatterplot with nonlinear correlation will have a negative correlation.
6

Which is the best representation of a nonlinear association?

A
On a graph, points are grouped together to form a curved line.
Option A
B
On a graph, points are grouped closely together and increase.
Option B
C
On a graph, points are grouped closely together and increase.
Option C
D
On a graph, points are grouped closely together and decrease.
Option D
7

Alya claims that the scatterplot shows a linear correlation. Enrique claims that the scatterplot has no correlation. Which statement about their claims is true?

Question illustration
A
Alya is correct because the scatterplot clusters about a line with a slope of zero.
B
Alya is correct because as the x-values increase, the y-values remain the same.
C
Enrique is correct because the scatterplot clusters about a curve.
D
Enrique is correct because as the x-values increase, the change has no effect on the y-values.
8

Which scatterplot shows the strongest negative linear association?

A
On a graph, points are grouped closely together and increase.
Option A
B
On a graph, points are grouped closely together to form a line and increase.
Option B
C
On a graph, points are grouped closely together and decrease.
Option C
D
On a graph, points are grouped closely together to form a line and decrease.
Option D
9

Which describes the correlation shown in the scatterplot?

Question illustration
A
There is a positive linear correlation.
B
There is a negative linear correlation.
C
There is no positive or negative correlation.
D
There is a nonlinear correlation.
10

Which describes the correlation shown in the scatterplot?

Question illustration
A
There is a positive correlation in the data set.
B
There is a negative correlation in the data set.
C
There is no correlation in the data set.
D
More points are needed to determine the correlation.

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