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Exploring Association — Quiz Answers

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1
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Which describes the correlation shown in the scatterplot?

A
There is no correlation in the data set.
B
There is a positive correlation in the data set.
C
More points are needed to determine the correlation.
D
There is a negative correlation in the data set.
2
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Which is the best representation of a nonlinear association?

A
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 6 in increments of 1. The y axis ranges from 0 to 4 in increments of 1. There is a point at (0 point 7 comma 2 point 2). There is a point at (1 point 3 comma 1 point 4). There is a point at (1 point 5 comma 1 point 6). There is a point at (1 point 7 comma 1 point 7). There is a point at (1 point 8 comma 2). There is a point at (2 comma 2 point 3). There is a point at (2 point 3 comma 2 point 4). There is a point at (2 point 4 comma 2 point 5). There is a point at (2 point 5 comma 2 point 3). There is a point at (2 point 7 comma 2). There is a point at (3 comma 2 point 4). There is a point at (3 point 1 comma 3 point 5). There is a point at (3 point 3 comma 2 point 6). There is a point at (3 point 6 comma 2 point 4). There is a point at (3 point 8 comma 2 point 7). There is a point at (3 point 9 comma 2 point 6). There is a point at (4 point 1 comma 2 point 8). There is a point at (4 point 5 comma 2 point 7).
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 6 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. There is a point at (1 point 2 comma 1 point 1). There is a point at (1 point 3 comma 1 point 4). There is a point at (1 point 6 comma 1 point 6). There is a point at (1 point 7 comma 1 point 7). There is a point at (1 point 8 comma 2). There is a point at (1 comma 2 point 3). There is a point at (2 point 3 comma 2 point 6). There is a point at (2 point 4 comma 2 point 5). There is a point at (2 point 5 comma 2 point 3). There is a point at (2 point 7 comma 2). There is a point at (3 comma 1 point 8). There is a point at (3 point 1 comma 2). There is a point at (3 point 3 comma 2). There is a point at (3 point 3 comma 2 point 3). There is a point at (3 point 6 comma 3 point 4). There is a point at (3 point 8 comma 2 point 7). There is a point at (3 point 9 comma 2 point 6). There is a point at (4 point 1 comma 2 point 8). There is a point at (4 point 5 comma 3).
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 6 in increments of 1. The y axis ranges from 0 to 4 in increments of 1. There is a point at (1 point 2 comma 1 point 3). There is a point at (1 point 3 comma 1 point 4). There is a point at (1 point 5 comma 1 point 6). There is a point at (1 point 7 comma 1 point 7). There is a point at (1 point 8 comma 2). There is a point at (2 comma 2 point 3). There is a point at (2 point 3 comma 2 point 4). 2 point 5 comma 2 point 5). There is a point at (2 point 6 comma 2 point 2). There is a point at (2 point 7 comma 2). There is a point at (3 comma 2 point 4). There is a point at (3 point 1 comma 2 point 5). There is a point at (3 point 3 comma 2 point 6). There is a point at (3 point 6 comma 2 point 4). There is a point at (3 point 8 comma 2 point 7). There is a point at (3 point 9 comma 4 point 6). There is a point at (4 point 1 comma 2 point 8). There is a point at (4 point 5 comma 3).
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 6 in increments of 1. The y axis ranges from 0 to 4 in increments of 1. There is a point at (0 point 5 comma 1 point 2). There is a point at (1 point 3 comma 2 point 4). There is a point at (1 point 5 comma 2). There is a point at (1 point 7 comma 2 point 3). There is a point at (1 point 8 comma 1 point 7). There is a point at (2 comma 1 point 7). There is a point at (2 point 3 comma 1 point 5). There is a point at (2 point 4 comma 1 point 5). There is a point at (2 point 5 comma 1 point 3). There is a point at (2 point 7 comma 1 point 2). There is a point at (3 comma 1 point 5). There is a point at (3 point 1 comma 1 point 3). There is a point at (3 point 3 comma 1 point 6). There is a point at (3 point 6 comma 1). There is a point at (3 point 8 comma 0 point 7). There is a point at (3 point 9 comma 0 point 8). There is a point at (4 point 1 comma 4 point 5). There is a point at (4 point 5 comma 4 point 2).
3

Which describes the correlation shown in the scatterplot?

A
There is a positive linear correlation.
B
There is a negative linear correlation.
C
There is a nonlinear correlation.
D
There is no positive or negative correlation.
4

Which scatterplot shows no correlation?

A
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 6 in increments of 1. The y axis ranges from 0 to 4 in increments of 1. There is a point at (0 point 4 comma 2 point 7). There is a point at (1 point 3 comma 2 point 4). There is a point at (1 point 5 comma 2). There is a point at (1 point 6 comma 2 point 3). There is a point at (1 point 8 comma 1 point 7). There is a point at (2 comma 1 point 7). There is a point at (2 point 3 comma 1 point 5). There is a point at (2 point 4 comma 1 point 5). There is a point at (2 point 5 comma 1 point 3). There is a point at (2 point 6 comma 1 point 2). There is a point at (3 coma 1 point 5). There is a point at (3 point 1 comma 1 point 3). There is a point at (3 point 3 comma 1 point 6). There is a point at (3 point 6 comma 1). There is a point at (3 point 8 comma 0 point 7). There is a point at (3 point 9 comma 0 point 8). There is a point at (4 point 1 comma 0 point 5). There is a point at (4 point 5 comma 0 point 2).
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 4 in increments of 1. The y axis ranges from 0 to 7 in increments of 1. There is a point at (0 point 2 comma 4 point 5). There is a point at (0 point 5 comma 3 point 8). There is a point at (1 point 6 comma 4 point 6). There is a point at (1 comma 4 point 2). There is a point at (1 point 2 comma 3 point 1). There is a point at (1 point 5 comma 3 point 5). There is a point at (1 point 6 comma 3). There is a point at (1 point 8 comma 3 point 7). There is a point at (2 comma 2 point 3). There is a point at (2 point 2 comma 3). There is a point at (2 point 4 comma 2 point 1). There is a point at (2 point 6 comma 2 point 7). There is a point at (2 point 7 comma 3 point 1). There is a point at (3 comma 2). There is a point at (3 comma 2 point 2). There is a point at (3 point 3 comma 1 point 2). There is a point at (3 point 4 comma 1 point 7).
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 4 in increments of 1. The y axis ranges from 0 to 4 in increments of 1. There is a point at (1 point 5 comma 1 point 2). There is a point at (1 point 3 comma 2 point 4). There is a point at (1 point 5 comma 2). There is a point at (1 point 7 comma 0 point 6). There is a point at (1 point 8 comma 0 point 4). There is a point at (2 point 3 comma 1 point 5). There is a point at (1 point 5 comma 1 point 5). There is a point at (2 point 8 comma 2 point 6). There is a point at (3 comma 1 point 5). There is a point at (3 point 3 comma 3 point 6). There is a point at (3 point 6 comma 1). There is a point at (3 point 9 comma 0 point 8). There is a point at (4 point 1 comma 0 point 5). There is a point at (4 point 5 comma 2 point 8).
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 7 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. There is a point at (0 point 7 comma 1 point 5). There is a point at (1 point 2 comma 1 point 1). There is a point at (1 point 5 comma 1 point 5). There is a point at (2 point 8 comma 1 point 7). There is a point at (2 point 4 comma 1 point 3). There is a point at (2 point 8 comma 1). There is a point at (3 point 2 comma 3 point 5). There is a point at (3 point 6 comma 1 point 2). There is a point at (4 comma 1 point 4). There is a point at (4 point 4 comma 2 point 9). There is a point at (4 point 8 comma 2 point 3). There is a point at (5 point 1 comma 2 point 3). There is a point at (5 point 5 comma 2 point 2). There is a point at (6 comma 1 point 5).
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 decrease.
B
As the x -values increase, the y -values tend to increase.
C
As the x -values decrease, the y -values tend to vary randomly.
D
As the x -values decrease, the y -values tend to decrease.
6

Which scatterplot shows the strongest negative linear association?

A
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 4 in increments of 1. The y axis ranges from 0 to 9 in increments of 1. There is a point at (1 comma 0 point 8). There is a point at (1 point 2 comma 1). There is a point at (1 point 3 comma 1 point 5). There is a point at (1 point 5 comma 2 point 3). There is a point at (1 point 6 comma 2 point 9).There is a point at (2 comma 3 point 6). There is a point at (2 point 3 comma 4 point 8). There is a point at (2 point 6 comma 5 point 5). There is a point at (3 comma 6 point 4). There is a point at (3 point 3 comma 7 point 2).
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 4 in increments of 1. The y axis ranges from 0 to 7 in increments of 1. There is a point at (0 point 2 comma 4 point 5). There is a point at (0 point 5 comma 3 point 8). There is a point at (1 point 6 comma 4 point 6). There is a point at (1 comma 4 point 2). There is a point at (1 point 2 comma 3 point 1). There is a point at (1 point 5 comma 3 point 5). There is a point at (1 point 6 comma 3). There is a point at (1 point 8 comma 3 point 7). There is a point at (2 comma 2 point 3). There is a point at (2 point 2 comma 3). There is a point at (2 point 4 comma 2 point 1). There is a point at (2 point 6 comma 2 point 7). There is a point at (2 point 7 comma 3 point 1). There is a point at (3 comma 2). There is a point at (3 comma 2 point 2). There is a point at (3 point 3 comma 1 point 2). There is a point at (3 point 4 comma 1 point 7).
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 4 in increments of 1. The y axis ranges from 0 to 7 in increments of 1. There is a point at (0 point 2 comma 4 point 8). There is a point at (1 comma 4). There is a point at (1 point 7 comma 2 point 7). There is a point at (2 point 2 comma 3). There is a point at (2 point 6 comma 2 point 5). There is a point at (2 comma 3). There is a point at (3 point 4 comma 0 point 6).
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 4 in increments of 1. The y axis ranges from 0 to 9 in increments of 1. There is a point at (0 point 8 comma 1). There is a point at (1 comma 0 point 8). There is a point at (1 point 2 comma 1). There is a point at (1 point 4 comma 1 point 6). There is a point at (1 point 5 comma 1 point 5). There is a point at (1 point 5 comma 2 point 2). There is a point at (1 point 6 comma 3 point 5). There is a point at (1 point 7 comma 3). There is a point at (2 comma 3 point 5). There is a point at (2 point 3 comma 4 point 8). There is a point at (2 point 5 comma 4 point 1). There is a point at (2 point 5 comma 6 point 3). There is a point at (2 point 6 comma 5 point 5).There is a point at (3 comma 6). There is a point at (3 point 2 comma 7 point 2).
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 decrease, the y -values tend to vary randomly.
B
As the x -values increase, the y -values tend to increase.
C
As the x -values decrease, the y -values tend to increase.
D
As the x -values increase, the y -values tend to decrease.
8

Who is correct and why?

A
Shelby is correct because the line of best fit matches the points as closely as possible with a weak correlation.
B
Ashik is correct because the points are a strong correlation to this nonlinear association.
C
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.
D
Ashik is correct because points with a weak correlation can never have linear association.
9

Move the correct answer to each box. Not all answers will be used.

Answer:

positive|weak

10

Which statement is true regarding the traits of scatterplots?

A
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.
B
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.
C
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.
D
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.

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