AnswersIntegrated Math II FullExploring Association

Exploring Association Answers

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1
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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.
2
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What type of association and correlation are shown by the scatterplot?

Question illustration
A
linear association, positive correlation
B
linear association, negative correlation
C
nonlinear association, strong correlation
D
nonlinear association, weak correlation
3

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
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 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
6

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.
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.
9

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?

Question illustration
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.
10

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
11

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.
12

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
13

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.
14

What type of association is shown by the scatterplot?

Question illustration
A
linear, strong
B
linear, weak
C
nonlinear, strong
D
nonlinear, weak
15

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.

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