Use Desmos calculator to determine the least squares regression line (line of best fit) for the points in the table. Attach screenshot of Desmos showing the table and graph. x y -5 3 -4 4 -3 7 -2 7.5 -1 2.5 y= A. What is the correlation coefficient of the data above? This is also found in Desmos.(i got .1713)

Question

B. Is the correlation 1) strong or 2) weak? Enter the value1 or 2.

Answer 1

I'm afraid I can't generate screenshots directly, but I can certainly guide you through the process to use Desmos to find the least squares regression line and the correlation coefficient for your given data points.

Steps to find the least squares regression line in Desmos:

1. Open Desmos: Go to the Desmos graphing calculator website or app.

2. Enter your data points: You can create a table by inputting your x and y values:

   • Click on the "+" button to add a new item.
   • Select "Table" and fill in your data like this:

     |   x   |   y   |
     | -5    |  3    |
     | -4    |  4    |
     | -3    |  7    |
     | -2    |  7.5  |
     | -1    |  2.5  |
     

3. Add a regression line: After entering the data, you can add the regression line. To do this, type the following in the input field:

   y1 ~ mx1 + b
   

   Desmos will automatically compute the best fit line and display it on the graph.

4. Correlation coefficient: To find the correlation coefficient (denoted as r), look for the value in Desmos after you input the regression equation. It should display as part of the regression statistics.

After completing these steps:

• If you found the correlation coefficient to be 0.1713, that indicates a positive, weak linear relationship.

Answering your questions:

• A. The correlation coefficient is 0.1713.
• B. The correlation is 2) weak.

Let me know if you need further assistance or clarification on any of the steps!