Question
6.
The graph below illustrates the number of acres used for farming in Small Town, New York, over several years.
Using a line of best fit, approximately how many acres will be used for farming in the 5th year?
(1 point)
Responses
0
0
200
200
300
300
400
400
Question 7
7.
For 10 days, Romero kept a record of the number of hours he spent listening to music. The information is shown in the table below.
Which scatter plot shows Romero’s data graphically?
(1 point)
Responses
Question 8
8.
Determine a line of best fit for the distance, y (in feet), that a three-toed sloth travels after x minutes. [Round all coefficients to the nearest tenth.]
(2 points)
The line of best fit is y =
x +
(round all coefficients to the nearest tenth)
Question 9
9.
Use your line of best fit from #8 above to predict, to the nearest tenth of a foot, how many feet the sloth will have
moved after 3 minutes.
(1 point)
The sloth will have moved
feet (rounded to the nearest foot) in 3 minutes.
Question 10
10.
Use your line of best fit from #8 to determine how many minutes (to the nearest tenth) it will take for the
sloth to travel 37 feet.
(1 point)
It will take the sloth
minutes (round to the nearest tenth) to travel 37 feet.
Question 11
11.
Calculate the residual for a time of 2 minutes and a distance of 12 feet.
(1 point)
The residual is
Question 12
12.
Organize the following correlation coefficients in order from strongest to weakest.
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Strongest
Strong
Weak
Weakest
responses
0.86359210
-0.87000015
0.2415379
-0.49211531
The graph below illustrates the number of acres used for farming in Small Town, New York, over several years.
Using a line of best fit, approximately how many acres will be used for farming in the 5th year?
(1 point)
Responses
0
0
200
200
300
300
400
400
Question 7
7.
For 10 days, Romero kept a record of the number of hours he spent listening to music. The information is shown in the table below.
Which scatter plot shows Romero’s data graphically?
(1 point)
Responses
Question 8
8.
Determine a line of best fit for the distance, y (in feet), that a three-toed sloth travels after x minutes. [Round all coefficients to the nearest tenth.]
(2 points)
The line of best fit is y =
x +
(round all coefficients to the nearest tenth)
Question 9
9.
Use your line of best fit from #8 above to predict, to the nearest tenth of a foot, how many feet the sloth will have
moved after 3 minutes.
(1 point)
The sloth will have moved
feet (rounded to the nearest foot) in 3 minutes.
Question 10
10.
Use your line of best fit from #8 to determine how many minutes (to the nearest tenth) it will take for the
sloth to travel 37 feet.
(1 point)
It will take the sloth
minutes (round to the nearest tenth) to travel 37 feet.
Question 11
11.
Calculate the residual for a time of 2 minutes and a distance of 12 feet.
(1 point)
The residual is
Question 12
12.
Organize the following correlation coefficients in order from strongest to weakest.
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Strongest
Strong
Weak
Weakest
responses
0.86359210
-0.87000015
0.2415379
-0.49211531
Answers
Answered by
GPT-4o mini
Here are the responses based on the provided questions:
**Question 6:**
Using a line of best fit, you would need the graph's information to determine the approximate number of acres used for farming in the 5th year. Without that data, I can't provide a specific answer. Please refer to the specific graph you've mentioned.
**Question 7:**
To determine which scatter plot represents Romero’s data, it would require visual inspection of the scatter plots in relation to the hours listed in Romero's record. I can't provide an answer without seeing those plots.
**Question 8:**
Without the data points for the three-toed sloth's travel over time, I can't calculate the line of best fit or present the equation. Assuming you have such data, follow linear regression methods or use a graphing tool to find coefficients \( m \) (slope) and \( b \) (y-intercept). The equation is generally in the form \( y = mx + b \).
**Question 9:**
Once the line of best fit equation \( y = mx + b \) is determined, substitute \( x = 3 \) into that equation to find \( y \) which represents the distance traveled after 3 minutes.
**Question 10:**
To find how many minutes it will take for the sloth to travel 37 feet, set your line of best fit \( 37 = mx + b \) and solve for \( x \) (minutes).
**Question 11:**
To find the residual for a time of 2 minutes and a distance of 12 feet, you need the predicted distance from your line of best fit for \( x = 2 \) minutes. The formula to find the residual is:
\[ \text{Residual} = \text{Actual} - \text{Predicted} \]
In this case,
\[ \text{Residual} = 12 - \text{(Predicted distance when } x = 2) \]
**Question 12:**
To order the correlation coefficients from strongest to weakest, you should look at the absolute values of each coefficient:
- **0.86359210** (strong positive correlation)
- **-0.87000015** (strong negative correlation)
- **-0.49211531** (weak to moderate negative correlation)
- **0.2415379** (weak positive correlation)
So the strongest to weakest order would be:
1. -0.87000015
2. 0.86359210
3. -0.49211531
4. 0.2415379
**Question 6:**
Using a line of best fit, you would need the graph's information to determine the approximate number of acres used for farming in the 5th year. Without that data, I can't provide a specific answer. Please refer to the specific graph you've mentioned.
**Question 7:**
To determine which scatter plot represents Romero’s data, it would require visual inspection of the scatter plots in relation to the hours listed in Romero's record. I can't provide an answer without seeing those plots.
**Question 8:**
Without the data points for the three-toed sloth's travel over time, I can't calculate the line of best fit or present the equation. Assuming you have such data, follow linear regression methods or use a graphing tool to find coefficients \( m \) (slope) and \( b \) (y-intercept). The equation is generally in the form \( y = mx + b \).
**Question 9:**
Once the line of best fit equation \( y = mx + b \) is determined, substitute \( x = 3 \) into that equation to find \( y \) which represents the distance traveled after 3 minutes.
**Question 10:**
To find how many minutes it will take for the sloth to travel 37 feet, set your line of best fit \( 37 = mx + b \) and solve for \( x \) (minutes).
**Question 11:**
To find the residual for a time of 2 minutes and a distance of 12 feet, you need the predicted distance from your line of best fit for \( x = 2 \) minutes. The formula to find the residual is:
\[ \text{Residual} = \text{Actual} - \text{Predicted} \]
In this case,
\[ \text{Residual} = 12 - \text{(Predicted distance when } x = 2) \]
**Question 12:**
To order the correlation coefficients from strongest to weakest, you should look at the absolute values of each coefficient:
- **0.86359210** (strong positive correlation)
- **-0.87000015** (strong negative correlation)
- **-0.49211531** (weak to moderate negative correlation)
- **0.2415379** (weak positive correlation)
So the strongest to weakest order would be:
1. -0.87000015
2. 0.86359210
3. -0.49211531
4. 0.2415379