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Question 1
A)
Use the image to answer the question.

A graph shows a series of upward slope diagonal plots from origin.

Distinguish what, if any, type of association is represented in the scatterplot.

(1 point)
Responses

a nonlinear relationship
a nonlinear relationship

No association is represented.
No association is represented.

a positive linear relationship
a positive linear relationship

a negative linear relationship
a negative linear relationship
Question 2
A)
Use the image to answer the question.

Shows 4 scatter plots.

Distinguish which scatterplot represents a negative linear relationship.

(1 point)
Responses

Scatterplot D
Scatterplot D

Scatterplot C
Scatterplot C

Scatterplot A
Scatterplot A

Scatterplot B
Scatterplot B
Question 3
A)
Use the data sets to answer the question.

Data Set A: (0,2), (1,4), (2,8), (3,16), (4,32), (5,64)

Data Set B: (3,4), (4,6), (5,8), (6,10), (7,12)

Data Set C: (0,1), (3,3), (6,9), (9,27), (12,81)

Data Set D: (2,4), (−1,2), (7,16), (−4,32), (1,64)

Create a scatterplot for each of the data sets shown. Which data set can reasonably be modeled by a linear relationship?

(1 point)
Responses

Data Set B
Data Set B

Data Set A
Data Set A

Data Set D
Data Set D

Data Set C
Data Set C
Question 4
A)
Use the image to answer the question.

Twenty points are plotted on a scatterplot titled Hours Playing with Toys. The x-axis is labeled Age, and the y-axis is labeled Hours.

What conclusion is plausible from analyzing the scatterplot?

(1 point)
Responses

The age group that spends the most amount of time playing with toys is 14- to 16-year-olds.
The age group that spends the most amount of time playing with toys is 14- to 16-year-olds.

The age group that spends the most amount of time playing with toys is 8- to 10-year-olds.
The age group that spends the most amount of time playing with toys is 8- to 10-year-olds.

The age group that spends the most amount of time playing with toys is 4- to 6-year-olds.
The age group that spends the most amount of time playing with toys is 4- to 6-year-olds.

The age group that spends the most amount of time playing with toys is 2- to 4-year-olds.
The age group that spends the most amount of time playing with toys is 2- to 4-year-olds.
Question 5
A)Which of the following scatterplots models an exponential relationship?(1 point)
Responses

A scatterplot has 17 closed points plotted on a coordinate plane.
Image with alt text: A scatterplot has 17 closed points plotted on a coordinate plane.

A scatterplot has 8 closed points plotted on a coordinate plane.
Image with alt text: A scatterplot has 8 closed points plotted on a coordinate plane.

A scatterplot has 9 closed points plotted on a coordinate plane.
Image with alt text: A scatterplot has 9 closed points plotted on a coordinate plane.

A scatterplot has 9 closed points plotted on a coordinate plane.
Image with alt text: A scatterplot has 9 closed points plotted on a coordinate plane.

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1 answer

Here are the responses to each question based on the provided prompts:

Question 1 A) The scatterplot shows a series of upward slope diagonal plots from the origin. This indicates a positive relationship between the variables.

Response: a positive linear relationship


Question 2 A) You need to identify the scatterplot that represents a negative linear relationship. Without the images, it is typically the one that shows a downward slope.

Response: Scatterplot D (assuming this is the one that shows a downward trend based on common interpretations)


Question 3 A) You have various data sets to analyze. Data Set B is the one that appears to follow a consistent linear pattern, as its y-values increase at a constant rate relative to the x-values.

Response: Data Set B


Question 4 A) Without the actual scatterplot to analyze, the most plausible conclusion can be inferred if we consider data trends in child development. Generally, younger children (like 2- to 4-year-olds) tend to spend more time playing with toys, but this could vary based on the specific data provided in the plot.

Response: The age group that spends the most amount of time playing with toys is 4- to 6-year-olds. (This is often typical; adjust if you feel differently based on the scatterplot.)


Question 5 A) To determine which scatterplot models an exponential relationship, you're looking for a curve that rises sharply (or falls) rather than a straight line. Typically, the scatterplot that curves upward significantly would indicate an exponential relationship.

Response: A scatterplot has 9 closed points plotted on a coordinate plane. (This is assumed to be the plot that shows an exponential relationship, based on typical features found in these questions.)


Be sure to adjust answers based on any visuals that influence your decision!