AnswersTX-Advanced Quantitative ReasoningPresidential Election of 1860

Exploring Association Answers

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Which describes the correlation shown in the scatterplot?

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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.
2
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Ashik claims that the graph on the right is the correct interpretation of the scatterplot, but his friend Shelby claims that the graph on the left is correct. Shelby’s Graph Ashik’s Graph Who is correct and why?

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A
Shelby is correct because the line of best fit has a negative slope and the trend shows a decrease in y values as the x values increase.
B
Shelby is correct because the line of best fit matches the points as closely as possible with a weak correlation.
C
Ashik is correct because the points are a strong correlation to this nonlinear association.
D
Ashik is correct because points with a weak correlation can never have linear association.
3

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.
4

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
5

A scatterplot has a negative, linear correlation. Which statement is true about the relationship between the x- and y-values?

A
As the x-values increase, the y-values tend to increase.
B
As the x-values increase, the y-values tend to decrease.
C
As the x-values decrease, the y-values tend to decrease.
D
As the x-values decrease, the y-values tend to vary randomly.
6

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
7

A scatterplot has a positive, linear correlation. Which statement is true about the relationship between the x- and y-values?

A
As the x-values increase, the y-values tend to increase.
B
As the x-values increase, the y-values tend to decrease.
C
As the x-values decrease, the y-values tend to increase.
D
As the x-values decrease, the y-values tend to vary randomly.
8

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.
9

Which scatterplot shows the weakest positive 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
10

What type of association is shown by the scatterplot?

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

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