Exploring Linear Regression with DESMOS

The video tutorial demonstrates how to use the Desmos calculator to input data into a table, create a linear regression model, and interpret the results. It covers entering data points, plotting them on a graph, and using the line of best fit to analyze the correlation. The tutorial emphasizes the importance of using the approximate symbol for accurate calculations in Desmos.

What is the first step to enter a table of values in Desmos?

• Click on 'Add Item' and choose 'Table'

• Click on 'Graph' and choose 'Table'

• Click on 'Settings' and choose 'Table'

• Click on 'Data' and choose 'Table'

Which values are entered in the X column of the table?

• 0, 1, 2, 3, 4, 5

• 93, 333, 344, 360, 380, 402

• 10, 20, 30, 40, 50

• 5, 4, 3, 2, 1, 0

What should the Y-axis range be set to for the given data?

• -10 to 10

• 0 to 100

• -5 to 9

• 0 to 500

What type of regression is suitable for the given data points?

• Exponential regression

• Quadratic regression

• Logarithmic regression

• Linear regression

How do you write the regression equation in Desmos?

• y = mx + b

• y ~ mx + b

• y1 ~ mx1 + b

• y1 = mx1 + b

What does an r value of 0.9851 indicate?

• The points are not correlated

• The points form a perfect line

• The points are scattered far from the line

• The points are closely correlated to each other

What is the slope (m) of the regression line?

• 0.9851

• 301.857

• 20.0571

• 1.0000

What is the y-intercept (b) of the regression line?

• 0.9851

• 1.0000

• 20.0571

• 301.857

What symbol should be used instead of the equal sign in the regression equation?

• The approximate (tilde) symbol

• The greater than symbol

• The less than symbol

• The equal sign

Where can you find the approximate (tilde) symbol on the keyboard?

• Above the shift key

• Above the tab key

• Above the enter key

• Above the space bar