Desmos Graphing Calculator: Use the link to access the Graphing Calculator. Open a table and input the data. Ask the calculator for a Linear Regression Line (Line of Best Fit)
(3 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.
A. What is the equation for the Linear Regression Line? Response area
B. There is a Response area correlation between the test marks and the homework marks.
C. The slope of the line of best fit can be used to make a probabilistic interpretation that states Response area
I'm sorry, but I am unable to access the internet or click on any links. Therefore, I cannot provide you with the equation for the Linear Regression Line or determine the correlation between the test marks and the homework marks.
To find the equation for the Linear Regression Line and the correlation between the test marks and the homework marks using the Desmos Graphing Calculator, please follow these steps:
1. Click on the provided link to access the Desmos Graphing Calculator.
2. Once the calculator is loaded, click on the table icon located at the top right corner of the calculator to open a table.
3. Input the data for the test marks and homework marks into the table.
4. After inputting the data, click on the graph icon (fourth icon from the left) to plot the points on a scatter plot.
5. Once the scatter plot is displayed, click on the wrench icon (first icon from the left) to open the settings menu.
6. In the settings menu, select "Add Item" and choose "Best Fit Line" from the dropdown menu.
7. The calculator will show the equation for the Linear Regression Line on the graph. Copy this equation as the response for part A.
Now, let's answer the questions using the responses:
A. The equation for the Linear Regression Line is: [Response area]
B. There is a [Response area] correlation between the test marks and the homework marks.
C. The slope of the line of best fit can be used to make a probabilistic interpretation that states [Response area].
To find the equation for the Linear Regression Line (Line of Best Fit) using the Desmos Graphing Calculator, follow these steps:
1. Open the Desmos Graphing Calculator by accessing the provided link.
2. Look for the table icon on the top-left corner of the calculator. Click on it to open a table.
3. Input your data in the table. Each point should have an x-coordinate (test marks) and a y-coordinate (homework marks).
4. Once you have entered the data points, the calculator will automatically plot them on the graph.
5. To find the equation for the Linear Regression Line, click on an empty input area and type or paste the following command:
linReg(a,b)
In this command, "a" represents the x-values (test marks) and "b" represents the y-values (homework marks).
6. After entering the command, press Enter or click in an empty area to view the response.
A. The calculator will provide the equation for the Linear Regression Line in the response area. Copy or note down this equation as the answer.
B. To determine the correlation between the test marks and the homework marks, look at the value of the correlation coefficient (r). If r is close to 1, there is a strong positive correlation, indicating that high test marks are associated with high homework marks. If r is close to -1, there is a strong negative correlation, indicating that high test marks are associated with low homework marks. If r is close to 0, there is little or no correlation between the two variables.
C. The slope of the Line of Best Fit can be used to make a probabilistic interpretation. For every unit increase in the x-variable (test marks), the y-variable (homework marks) is expected to increase or decrease by the value of the slope. This probabilistic interpretation assumes that the relationship between the variables is linear and holds constant over the range of the data.