Exploring Linear Regression with Desmos

This video tutorial covers the second part of the lesson on the line of best fit. It explains how to use Desmos to find the best line of best fit through linear regression. The tutorial guides students on entering data into Desmos, creating scatter plots, and calculating the linear regression equation. It emphasizes the importance of accuracy in data entry and provides instructions on finalizing and rounding the equation. The video concludes with details on assignments and encourages students to practice using Desmos.

Why is it problematic to have multiple different lines of best fit?

• It is time-consuming to draw multiple lines.

• It makes it difficult to determine the most accurate equation.

• It is not visually appealing.

• It requires advanced mathematical skills.

What tool is introduced to help find the line of best fit?

• Excel

• Desmos

• Google Sheets

• Python

What is the first step in setting up data in Desmos?

• Drawing a line

• Entering the equation

• Adding a table

• Adding a graph

Where do you input the independent variable in Desmos?

• y2

• y1

• x2

• x1

Why is it important to enter data correctly in Desmos?

• To ensure the graph looks neat

• To save time

• To get the same exact answer as others

• To avoid using a calculator

What does Desmos automatically generate when you input data?

• A bar chart

• A histogram

• A scatter plot

• A pie chart

What symbol is used in Desmos to indicate a linear regression equation?

• Equal sign (=)

• Tilde (~)

• Asterisk (*)

• Ampersand (&)

What is the general form of the linear regression equation in Desmos?

• y = m + bx

• y1 ~ mx1 + b

• y2 = mx2 + b

• y = mx + b

What should you do if you add a second table in Desmos?

• Change the graph type

• Delete the first table

• Use x1 and y1 in the equation

• Use x2 and y2 in the equation

To what decimal place should you generally round the slope and y-intercept?

• Thousandth

• Tenth

• Hundredth

• Whole number