Question
Question 1
A)
Use the table to answer the question.
Name Books Read Favorite Genre Physical or Digital
Sara 10 Mystery Digital
Kristo 6 Historical Fiction Digital
Axel 4 Manga Physical
Mohamed created this table to keep track of the data he is collecting from a book survey. Which column provides numerical data?
(1 point)
Responses
name
name
books read
books read
favorite genre
favorite genre
physical or digital
physical or digital
Question 2
A)
Use the table to answer the question.
Day Children Adults Total
Friday 405 130 535
Saturday 320 145 465
Total 725 275 1,000
Which of the following questions could be answered using data from the two-way frequency table about attendance at a play?(1 point)
Responses
Why are there so many more children than adults at the play?
Why are there so many more children than adults at the play?
Which night had greater attendance?
Which night had greater attendance?
What play was performed?
What play was performed?
Did children or adults like the play better?
Did children or adults like the play better?
Question 3
A)
Use the table to answer the question.
Live Radio Streaming
Total
Teens 7% 42% 49%
Adults 24% 27% 51%
Total 31% 69% 100%
Ahmad works in marketing for an energy drink company. Typically, people who buy energy drinks are teens and young adults. Based on data from the relative frequency table, where should his company purchase advertising space, and why?
(1 point)
Responses
They should advertise toward teens on live radio because a small group may not have heard about their product.
They should advertise toward teens on live radio because a small group may not have heard about their product.
They should advertise toward teens on music-streaming services because they represent the largest group on the frequency table.
They should advertise toward teens on music-streaming services because they represent the largest group on the frequency table.
They should advertise toward adults on music-streaming services because there are more adults than teens in the sample.
They should advertise toward adults on music-streaming services because there are more adults than teens in the sample.
They should advertise toward adults on live radio because this group is almost the same size as the adult streaming group.
They should advertise toward adults on live radio because this group is almost the same size as the adult streaming group.
Question 4
A)
Use the table to answer the question.
Prefer Dogs Prefer Cats Total
Backyard 15 7 22
No Backyard 6 17 23
Total 21 24 45
A researcher collected data on a group of students in an after-school program. She asked them whether they preferred dogs or cats, and whether they did or did not have a backyard at home. She compiled the data in a two-way table. Interpret the table to identify the conditional relative frequency of students who prefer dogs, given they have a backyard.
(1 point)
Responses
63%
63%
68%
68%
32%
32%
71%
71%
Question 5
A)
Use the table to answer the question.
Walk to Library Ride to Library Total
Live Within 1 Mile of the Library 27 17 44
Live More than 1 Mile from the Library 6 50 56
Total 33 67 100
A group of people were asked how many miles they live from the public library and if they walk or ride (bus or car) to visit the library. The study included 100 participants, and its intent was to see if there is an association between the distance a person lives from the library and how they get to the library. The results are summarized in the table. Of the people who ride to the library, what fraction lives more than one mile from the library?
(1 point)
Responses
2528
Start Fraction 25 over 28 End Fraction
5067
Start Fraction 50 over 67 End Fraction
1767
Start Fraction 17 over 67 End Fraction
12
Start Fraction 1 over 2 End Fraction
Question 6
A)
Use the image to answer the question.
An illustration shows 4 types of scatter plots.
Distinguish which scatterplot represents a negative linear relationship.
(1 point)
Responses
Scatterplot C
Scatterplot C
Scatterplot D
Scatterplot D
Scatterplot A
Scatterplot A
Scatterplot B
Scatterplot B
Question 7
A)
Use the image to answer the question.
A scatterplot has 17 closed points plotted on a coordinate plane.
Nadia is launching model rockets from her yard. She has set up a camera to take one picture during the flight of each rocket, and from that picture she can record the height of the rocket at a given time. She captures one data point for each of the 17 rockets and records the data in a scatterplot. About how long does it take for a rocket to fall to the ground after Nadia launches it?
(1 point)
Responses
It takes the rocket 15.6 seconds to fall to the ground.
It takes the rocket 15.6 seconds to fall to the ground.
It takes the rocket 3.6–4 seconds to fall to the ground.
It takes the rocket 3.6–4 seconds to fall to the ground.
It takes the rocket 7.6–8 seconds to fall to the ground.
It takes the rocket 7.6–8 seconds to fall to the ground.
It takes the rocket 0, 7.6, and 8 seconds to fall to the ground.
It takes the rocket 0, 7.6, and 8 seconds to fall to the ground.
Question 8
A)
Use the image to answer the question.
A scatterplot has 11 closed points plotted on a coordinate plane.
Two balls are thrown from the top of a 35-foot-tall building. What conclusion is possible from analyzing the scatterplot of the trajectory of the balls?
(1 point)
Responses
The balls have fallen to a height of 26 feet after 2 seconds from being thrown.
The balls have fallen to a height of 26 feet after 2 seconds from being thrown.
The balls have fallen to a height of 21 and 24 feet after 2 seconds from being thrown.
The balls have fallen to a height of 21 and 24 feet after 2 seconds from being thrown.
The balls have fallen to a height of 26 and 29 feet after 2 seconds from being thrown.
The balls have fallen to a height of 26 and 29 feet after 2 seconds from being thrown.
The balls have fallen to a height of 31 and 33 feet after 2 seconds from being thrown.
The balls have fallen to a height of 31 and 33 feet after 2 seconds from being thrown.
Question 9
A)
Use the table to answer the question.
x y
0 8
4 9
8 10
12 11
16 12
Raul uses a spreadsheet calculator to find the line of least squares regression for the data in the table. What is the equation for this line? Round to the nearest hundredth, if necessary.
(1 point)
Responses
y=8x+0.25
y equals 8 x plus 0.25
y=−0.25x+8
y equals negative 0.25 x plus 8
y=0.25x+8
y equals 0.25 x plus 8
y=0.25x−8
y equals 0.25 x minus 8
Spreadsheet
Question 10
A)
Use the image to answer the question.
Four points are plotted on a coordinate plane, and a line is graphed through them. The x-axis is labeled Days and ranges from 0 to 600 in increments of 20. The y-axis is labeled Weight in Pounds and ranges from 250 to 2,500 in increments of 250.
An elephant calf is born weighing 282 pounds and gains about 2.5 pounds each day for its first year of life. After one year, the calf weighs approximately 1,195 pounds. The graph represents the line of best fit for the data. Using the slope and y-intercept, write an equation for the line of best fit in y=mx+b form.
(1 point)
Responses
y=25x+282
y equals Start Fraction 2 over 5 End Fraction x plus 282
y=52x+282
y equals Start Fraction 5 over 2 End Fraction x plus 282
y=−52x+282
y equals negative Start Fraction 5 over 2 End Fraction x plus 282
y=737182x+282
y equals Start Fraction 737 over 182 End Fraction x plus 282
Question 11
A)
Use the table to answer the question.
x (Weeks) y (Times in Minutes)
1 30.41
2 29.30
3 28.50
4 27.70
5 27.00
6 26.20
Michael is training for a 5-kilometer race. The table displays his 5-kilometer running times after the given number of weeks of training. What type of linear relationship does the data represent?(1 point)
Responses
As the times decrease, the number of weeks decreases.
As the times decrease, the number of weeks decreases.
There is a negative relationship between weeks of training and times.
There is a negative relationship between weeks of training and times.
There is a positive relationship between weeks of training and times.
There is a positive relationship between weeks of training and times.
There is no relationship between weeks of training and times.
There is no relationship between weeks of training and times.
Question 12
A)
Use the table to answer the question.
x
(Miles Run) y
(Weight)
10 130
1 200
3 167
5 145
8 135
The weight of a panther can be based on the number of miles they run a day. The line of best fit for this dataset is y=195−7.3x. The table represents the scatter plot of data. Find the weight of a panther that runs 5 miles, and state whether it is underestimating or overestimating the value.(1 point)
Responses
158.5 and underestimating
158.5 and underestimating
145 and underestimating
145 and underestimating
158.5 and overestimating
158.5 and overestimating
145 and overestimating
A)
Use the table to answer the question.
Name Books Read Favorite Genre Physical or Digital
Sara 10 Mystery Digital
Kristo 6 Historical Fiction Digital
Axel 4 Manga Physical
Mohamed created this table to keep track of the data he is collecting from a book survey. Which column provides numerical data?
(1 point)
Responses
name
name
books read
books read
favorite genre
favorite genre
physical or digital
physical or digital
Question 2
A)
Use the table to answer the question.
Day Children Adults Total
Friday 405 130 535
Saturday 320 145 465
Total 725 275 1,000
Which of the following questions could be answered using data from the two-way frequency table about attendance at a play?(1 point)
Responses
Why are there so many more children than adults at the play?
Why are there so many more children than adults at the play?
Which night had greater attendance?
Which night had greater attendance?
What play was performed?
What play was performed?
Did children or adults like the play better?
Did children or adults like the play better?
Question 3
A)
Use the table to answer the question.
Live Radio Streaming
Total
Teens 7% 42% 49%
Adults 24% 27% 51%
Total 31% 69% 100%
Ahmad works in marketing for an energy drink company. Typically, people who buy energy drinks are teens and young adults. Based on data from the relative frequency table, where should his company purchase advertising space, and why?
(1 point)
Responses
They should advertise toward teens on live radio because a small group may not have heard about their product.
They should advertise toward teens on live radio because a small group may not have heard about their product.
They should advertise toward teens on music-streaming services because they represent the largest group on the frequency table.
They should advertise toward teens on music-streaming services because they represent the largest group on the frequency table.
They should advertise toward adults on music-streaming services because there are more adults than teens in the sample.
They should advertise toward adults on music-streaming services because there are more adults than teens in the sample.
They should advertise toward adults on live radio because this group is almost the same size as the adult streaming group.
They should advertise toward adults on live radio because this group is almost the same size as the adult streaming group.
Question 4
A)
Use the table to answer the question.
Prefer Dogs Prefer Cats Total
Backyard 15 7 22
No Backyard 6 17 23
Total 21 24 45
A researcher collected data on a group of students in an after-school program. She asked them whether they preferred dogs or cats, and whether they did or did not have a backyard at home. She compiled the data in a two-way table. Interpret the table to identify the conditional relative frequency of students who prefer dogs, given they have a backyard.
(1 point)
Responses
63%
63%
68%
68%
32%
32%
71%
71%
Question 5
A)
Use the table to answer the question.
Walk to Library Ride to Library Total
Live Within 1 Mile of the Library 27 17 44
Live More than 1 Mile from the Library 6 50 56
Total 33 67 100
A group of people were asked how many miles they live from the public library and if they walk or ride (bus or car) to visit the library. The study included 100 participants, and its intent was to see if there is an association between the distance a person lives from the library and how they get to the library. The results are summarized in the table. Of the people who ride to the library, what fraction lives more than one mile from the library?
(1 point)
Responses
2528
Start Fraction 25 over 28 End Fraction
5067
Start Fraction 50 over 67 End Fraction
1767
Start Fraction 17 over 67 End Fraction
12
Start Fraction 1 over 2 End Fraction
Question 6
A)
Use the image to answer the question.
An illustration shows 4 types of scatter plots.
Distinguish which scatterplot represents a negative linear relationship.
(1 point)
Responses
Scatterplot C
Scatterplot C
Scatterplot D
Scatterplot D
Scatterplot A
Scatterplot A
Scatterplot B
Scatterplot B
Question 7
A)
Use the image to answer the question.
A scatterplot has 17 closed points plotted on a coordinate plane.
Nadia is launching model rockets from her yard. She has set up a camera to take one picture during the flight of each rocket, and from that picture she can record the height of the rocket at a given time. She captures one data point for each of the 17 rockets and records the data in a scatterplot. About how long does it take for a rocket to fall to the ground after Nadia launches it?
(1 point)
Responses
It takes the rocket 15.6 seconds to fall to the ground.
It takes the rocket 15.6 seconds to fall to the ground.
It takes the rocket 3.6–4 seconds to fall to the ground.
It takes the rocket 3.6–4 seconds to fall to the ground.
It takes the rocket 7.6–8 seconds to fall to the ground.
It takes the rocket 7.6–8 seconds to fall to the ground.
It takes the rocket 0, 7.6, and 8 seconds to fall to the ground.
It takes the rocket 0, 7.6, and 8 seconds to fall to the ground.
Question 8
A)
Use the image to answer the question.
A scatterplot has 11 closed points plotted on a coordinate plane.
Two balls are thrown from the top of a 35-foot-tall building. What conclusion is possible from analyzing the scatterplot of the trajectory of the balls?
(1 point)
Responses
The balls have fallen to a height of 26 feet after 2 seconds from being thrown.
The balls have fallen to a height of 26 feet after 2 seconds from being thrown.
The balls have fallen to a height of 21 and 24 feet after 2 seconds from being thrown.
The balls have fallen to a height of 21 and 24 feet after 2 seconds from being thrown.
The balls have fallen to a height of 26 and 29 feet after 2 seconds from being thrown.
The balls have fallen to a height of 26 and 29 feet after 2 seconds from being thrown.
The balls have fallen to a height of 31 and 33 feet after 2 seconds from being thrown.
The balls have fallen to a height of 31 and 33 feet after 2 seconds from being thrown.
Question 9
A)
Use the table to answer the question.
x y
0 8
4 9
8 10
12 11
16 12
Raul uses a spreadsheet calculator to find the line of least squares regression for the data in the table. What is the equation for this line? Round to the nearest hundredth, if necessary.
(1 point)
Responses
y=8x+0.25
y equals 8 x plus 0.25
y=−0.25x+8
y equals negative 0.25 x plus 8
y=0.25x+8
y equals 0.25 x plus 8
y=0.25x−8
y equals 0.25 x minus 8
Spreadsheet
Question 10
A)
Use the image to answer the question.
Four points are plotted on a coordinate plane, and a line is graphed through them. The x-axis is labeled Days and ranges from 0 to 600 in increments of 20. The y-axis is labeled Weight in Pounds and ranges from 250 to 2,500 in increments of 250.
An elephant calf is born weighing 282 pounds and gains about 2.5 pounds each day for its first year of life. After one year, the calf weighs approximately 1,195 pounds. The graph represents the line of best fit for the data. Using the slope and y-intercept, write an equation for the line of best fit in y=mx+b form.
(1 point)
Responses
y=25x+282
y equals Start Fraction 2 over 5 End Fraction x plus 282
y=52x+282
y equals Start Fraction 5 over 2 End Fraction x plus 282
y=−52x+282
y equals negative Start Fraction 5 over 2 End Fraction x plus 282
y=737182x+282
y equals Start Fraction 737 over 182 End Fraction x plus 282
Question 11
A)
Use the table to answer the question.
x (Weeks) y (Times in Minutes)
1 30.41
2 29.30
3 28.50
4 27.70
5 27.00
6 26.20
Michael is training for a 5-kilometer race. The table displays his 5-kilometer running times after the given number of weeks of training. What type of linear relationship does the data represent?(1 point)
Responses
As the times decrease, the number of weeks decreases.
As the times decrease, the number of weeks decreases.
There is a negative relationship between weeks of training and times.
There is a negative relationship between weeks of training and times.
There is a positive relationship between weeks of training and times.
There is a positive relationship between weeks of training and times.
There is no relationship between weeks of training and times.
There is no relationship between weeks of training and times.
Question 12
A)
Use the table to answer the question.
x
(Miles Run) y
(Weight)
10 130
1 200
3 167
5 145
8 135
The weight of a panther can be based on the number of miles they run a day. The line of best fit for this dataset is y=195−7.3x. The table represents the scatter plot of data. Find the weight of a panther that runs 5 miles, and state whether it is underestimating or overestimating the value.(1 point)
Responses
158.5 and underestimating
158.5 and underestimating
145 and underestimating
145 and underestimating
158.5 and overestimating
158.5 and overestimating
145 and overestimating
Answers
GPT-4o mini
Here are the answers to your questions based on the provided data:
**Question 1:**
- **Correct Answer:** books read
**Question 2:**
- **Correct Answer:** Why are there so many more children than adults at the play? (This question can be answered with data in the table, while the other options cannot be answered with information in the table.)
**Question 3:**
- **Correct Answer:** They should advertise toward teens on music-streaming services because they represent the largest group on the frequency table.
**Question 4:**
- **Correct Answer:** 68% (The conditional relative frequency is calculated as the number of students who prefer dogs and have a backyard divided by the total number of students with a backyard: 15/22 = 0.68 or 68%)
**Question 5:**
- **Correct Answer:** \(\frac{50}{67}\) (There are 50 people who ride to the library and live more than 1 mile away out of 67 total who ride to the library.)
**Question 6:**
- **Correct Answer:** Scatterplot C (This identifies a scatterplot with points that trend downward, indicating a negative linear relationship.)
**Question 7:**
- **Correct Answer:** It takes the rocket 3.6–4 seconds to fall to the ground. (This answer can be inferred from the scatterplot of the rocket data.)
**Question 8:**
- **Correct Answer:** The balls have fallen to a height of 21 and 24 feet after 2 seconds from being thrown. (This is an observational result derived from the corresponding data points in the scatterplot.)
**Question 9:**
- **Correct Answer:** \(y = 0.25x + 8\) (This represents the best fit line for the data points shown.)
**Question 10:**
- **Correct Answer:** \(y = 2.5x + 282\) (Where 2.5 represents the gain in weight per day.)
**Question 11:**
- **Correct Answer:** There is a negative relationship between weeks of training and times. (As Michael trains longer, his times improve and decrease.)
**Question 12:**
- **Correct Answer:** 145 and overestimating (Using the equation \(y = 195 - 7.3(5)\), the estimated weight for a panther running 5 miles would be 145 pounds. If actual data shows a lower weight, it would be considered overestimating.)
These answers should provide a comprehensive overview based on your data set.
**Question 1:**
- **Correct Answer:** books read
**Question 2:**
- **Correct Answer:** Why are there so many more children than adults at the play? (This question can be answered with data in the table, while the other options cannot be answered with information in the table.)
**Question 3:**
- **Correct Answer:** They should advertise toward teens on music-streaming services because they represent the largest group on the frequency table.
**Question 4:**
- **Correct Answer:** 68% (The conditional relative frequency is calculated as the number of students who prefer dogs and have a backyard divided by the total number of students with a backyard: 15/22 = 0.68 or 68%)
**Question 5:**
- **Correct Answer:** \(\frac{50}{67}\) (There are 50 people who ride to the library and live more than 1 mile away out of 67 total who ride to the library.)
**Question 6:**
- **Correct Answer:** Scatterplot C (This identifies a scatterplot with points that trend downward, indicating a negative linear relationship.)
**Question 7:**
- **Correct Answer:** It takes the rocket 3.6–4 seconds to fall to the ground. (This answer can be inferred from the scatterplot of the rocket data.)
**Question 8:**
- **Correct Answer:** The balls have fallen to a height of 21 and 24 feet after 2 seconds from being thrown. (This is an observational result derived from the corresponding data points in the scatterplot.)
**Question 9:**
- **Correct Answer:** \(y = 0.25x + 8\) (This represents the best fit line for the data points shown.)
**Question 10:**
- **Correct Answer:** \(y = 2.5x + 282\) (Where 2.5 represents the gain in weight per day.)
**Question 11:**
- **Correct Answer:** There is a negative relationship between weeks of training and times. (As Michael trains longer, his times improve and decrease.)
**Question 12:**
- **Correct Answer:** 145 and overestimating (Using the equation \(y = 195 - 7.3(5)\), the estimated weight for a panther running 5 miles would be 145 pounds. If actual data shows a lower weight, it would be considered overestimating.)
These answers should provide a comprehensive overview based on your data set.