Exploring Association Answers

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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
2
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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.
3

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.
4

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.
5

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.
6

Which scatterplot shows the weakest negative linear correlation?

A
On a graph, points are grouped closely together and increase.
Option A
B
On a graph, points are grouped closely together in 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 in a line and decrease.
Option D
7

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.
8

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.
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 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

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