Desmos Functionality and Regression Analysis

This video tutorial demonstrates how to use Desmos to create a scatter plot and perform quadratic regression. It guides viewers through entering data manually or via spreadsheet, adjusting graph settings, and performing regression analysis. The tutorial also covers using the graph to make predictions about an object's height over time and discusses the accuracy of results based on rounded and exact values.

What is the primary goal of using Desmos in this video?

• To create a bar chart

• To perform linear regression

• To calculate the mean of a data set

• To create a scatter plot and perform quadratic regression

Which variables are used in place of x and y in this tutorial?

• m and n

• p and q

• h and t

• a and b

What is the first step to enter data into Desmos?

• Click on 'Add Chart'

• Click on 'Add Graph'

• Click on 'Add Table'

• Click on 'Add Function'

How can you adjust the graph window in Desmos?

• By clicking the wrench icon

• By adding more data points

• By changing the color of the graph

• By dragging the graph

What symbol is used in Desmos to perform regression instead of the equal sign?

• Asterisk (*)

• Caret (^)

• Ampersand (&)

• Tilde (~)

What does an R-squared value close to one indicate about the model?

• The model is not accurate

• The model is very accurate

• The model is irrelevant

• The model is incomplete

What is the predicted height of the object after 6 seconds?

• 43.4 meters

• 70.5 meters

• 50.0 meters

• 60.2 meters

At approximately what time does the object reach a height of 70 meters?

• 3.0 seconds and 7.0 seconds

• 2.0 seconds and 6.0 seconds

• 1.5 seconds and 4.5 seconds

• 0.8 seconds and 5.1 seconds

When does the object hit the ground according to the model?

• 8.0 seconds

• 7.0 seconds

• 6.0 seconds

• 5.0 seconds

Why might the answers differ slightly when using the rounded values of a, b, and c?

• Because the data is incorrect

• Because the model is not quadratic

• Because the rounded values have fewer decimal places

• Because the graph is not visible