Question
page 12 of 12
Question 1
A)
Use the table to answer the question.
This table displays the relationship between two variables, x and y, showing the corresponding y-values for given x-values.
x-Value y-Value
5 22
6 29
7 28
8 31
9 37
Use technology (such as GeoGebra) to find the correlation coefficient of the data. Round your r-value to two decimal places, if necessary.
(1 point)
Responses
6.40
6.40
0.90
0.90
0.94
0.94
0.93
0.93
Graphing Calculator
Question 2
A)
Find the correlation coefficient of the following linear equation using technology (such as GeoGebra). For your r-value, use the first two decimal places.
y=43x−4
(1 point)
Responses
0.90
0.90
2.66
2.66
1.00
1.00
−0.99
negative 0.99
Graphing Calculator
Question 3
A)Interpret the following correlation coefficients and list them in order from weakest to strongest.(1 point)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.
−0.99872348
0.72643969
0.69846237
−0.89234651
Question 4
A)
What is the correlation coefficient of the following data? Is it a strong or weak correlation?
This table shows the relationship between two variables, x and y suggesting a positive correlation between x and y indicating a non-linear relationship.
x y
1 3 5 7 9
13 43 51 76 81
(1 point)
Responses
−0.97300135; strong
negative 0.97300135 ; strong
0.97300135; weak
0.97300135; weak
−0.97300135; weak
negative 0.97300135 ; weak
0.97300135; strong
0.97300135; strong
Question 5
A)
Use the image to answer the question.
An unlabeled coordinate plane has a line with an arrow that begins at the point of origin and moves diagonally upward from left to right. Twenty-five closed points are plotted along the entire length of the line, above, below, and on it.
Which of the following statements best describes the data illustrated in the graph?
(1 point)
Responses
The graph illustrates a weak positive correlation between the data.
The graph illustrates a weak positive correlation between the data.
The graph illustrates a weak negative correlation between the data.
The graph illustrates a weak negative correlation between the data.
The graph illustrates a strong positive correlation between the data.
The graph illustrates a strong positive correlation between the data.
The graph illustrates a strong negative correlation between the data.
The graph illustrates a strong negative correlation between the data.
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Question 1
A)
Use the table to answer the question.
This table displays the relationship between two variables, x and y, showing the corresponding y-values for given x-values.
x-Value y-Value
5 22
6 29
7 28
8 31
9 37
Use technology (such as GeoGebra) to find the correlation coefficient of the data. Round your r-value to two decimal places, if necessary.
(1 point)
Responses
6.40
6.40
0.90
0.90
0.94
0.94
0.93
0.93
Graphing Calculator
Question 2
A)
Find the correlation coefficient of the following linear equation using technology (such as GeoGebra). For your r-value, use the first two decimal places.
y=43x−4
(1 point)
Responses
0.90
0.90
2.66
2.66
1.00
1.00
−0.99
negative 0.99
Graphing Calculator
Question 3
A)Interpret the following correlation coefficients and list them in order from weakest to strongest.(1 point)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.
−0.99872348
0.72643969
0.69846237
−0.89234651
Question 4
A)
What is the correlation coefficient of the following data? Is it a strong or weak correlation?
This table shows the relationship between two variables, x and y suggesting a positive correlation between x and y indicating a non-linear relationship.
x y
1 3 5 7 9
13 43 51 76 81
(1 point)
Responses
−0.97300135; strong
negative 0.97300135 ; strong
0.97300135; weak
0.97300135; weak
−0.97300135; weak
negative 0.97300135 ; weak
0.97300135; strong
0.97300135; strong
Question 5
A)
Use the image to answer the question.
An unlabeled coordinate plane has a line with an arrow that begins at the point of origin and moves diagonally upward from left to right. Twenty-five closed points are plotted along the entire length of the line, above, below, and on it.
Which of the following statements best describes the data illustrated in the graph?
(1 point)
Responses
The graph illustrates a weak positive correlation between the data.
The graph illustrates a weak positive correlation between the data.
The graph illustrates a weak negative correlation between the data.
The graph illustrates a weak negative correlation between the data.
The graph illustrates a strong positive correlation between the data.
The graph illustrates a strong positive correlation between the data.
The graph illustrates a strong negative correlation between the data.
The graph illustrates a strong negative correlation between the data.
Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
Answers
Answered by
GPT-4o mini
Here are the answers to the questions based on the information provided:
### Question 1
To find the correlation coefficient \( r \) for the provided data, you'll typically use technology such as GeoGebra or graphing calculators. However, without using technology here, based on similar datasets:
- **Most likely answer:** **0.94**
### Question 2
For the linear equation \( y = 43x - 4 \), since it's a perfect linear relationship, the correlation coefficient \( r \) is either 1 or -1.
- **Most likely answer:** **1.00**
### Question 3
To rank the correlation coefficients from weakest to strongest, we first consider the values:
- \( -0.99872348 \) (strong negative)
- \( -0.89234651 \) (strong negative)
- \( 0.69846237 \) (moderate positive)
- \( 0.72643969 \) (moderate positive)
Ordered from weakest to strongest, the correlation coefficients would be:
1. \( -0.99872348 \)
2. \( -0.89234651 \)
3. \( 0.69846237 \)
4. \( 0.72643969 \)
### Question 4
To calculate the correlation coefficient from the given data points, we typically rely on technology to derive the exact value. However, a correlation coefficient around 0.97 indicates a strong positive correlation.
Thus:
- **Most likely answer:** **0.97300135; strong**
### Question 5
Based on the description of the graph (a line that moves diagonally upward with plotted points generally close to the line), we would classify it as a strong positive correlation.
- **Most likely answer:** **The graph illustrates a strong positive correlation between the data.**
These answers should align with the typical analysis one would conduct when interpreting correlation coefficients and graphical data. Please verify these using appropriate tools if necessary.
### Question 1
To find the correlation coefficient \( r \) for the provided data, you'll typically use technology such as GeoGebra or graphing calculators. However, without using technology here, based on similar datasets:
- **Most likely answer:** **0.94**
### Question 2
For the linear equation \( y = 43x - 4 \), since it's a perfect linear relationship, the correlation coefficient \( r \) is either 1 or -1.
- **Most likely answer:** **1.00**
### Question 3
To rank the correlation coefficients from weakest to strongest, we first consider the values:
- \( -0.99872348 \) (strong negative)
- \( -0.89234651 \) (strong negative)
- \( 0.69846237 \) (moderate positive)
- \( 0.72643969 \) (moderate positive)
Ordered from weakest to strongest, the correlation coefficients would be:
1. \( -0.99872348 \)
2. \( -0.89234651 \)
3. \( 0.69846237 \)
4. \( 0.72643969 \)
### Question 4
To calculate the correlation coefficient from the given data points, we typically rely on technology to derive the exact value. However, a correlation coefficient around 0.97 indicates a strong positive correlation.
Thus:
- **Most likely answer:** **0.97300135; strong**
### Question 5
Based on the description of the graph (a line that moves diagonally upward with plotted points generally close to the line), we would classify it as a strong positive correlation.
- **Most likely answer:** **The graph illustrates a strong positive correlation between the data.**
These answers should align with the typical analysis one would conduct when interpreting correlation coefficients and graphical data. Please verify these using appropriate tools if necessary.