Exploring Linear Regression and Correlation Coefficient in Desmos

Exploring Linear Regression and Correlation Coefficient in Desmos

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Hard

Created by

Sophia Harris

FREE Resource

This video tutorial demonstrates how to find a linear regression equation and correlation coefficient using Desmos. It covers data preparation, graph setup, fitting a linear model, and interpreting results. The tutorial emphasizes the importance of ensuring a linear trend before applying a linear model and provides step-by-step instructions for using Desmos to visualize and analyze data. The video concludes with an explanation of the regression equation and correlation coefficient, highlighting their significance in predicting relationships between variables.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step before fitting a linear regression equation?

Find the mode of the data

Calculate the mean of the data

Look at the scatterplot to ensure a linear trend

Determine the median of the data

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of data is used in the example provided in the video?

Daily temperatures and humidity levels

Weekly rainfall and crop yield

Annual income and expenditure

Monthly sales and cost of online ads

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if you cannot see the data points on the graph?

Change the color of the points

Adjust the scale of the graph

Re-enter the data

Restart the Desmos application

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of adjusting the graph settings in Desmos?

To change the color of the graph

To fit the data points within the visible window

To add more data points

To delete existing data points

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which symbol is used to indicate that Y1 is approximately equal to the linear model in Desmos?

Equal sign (=)

Tilde (~)

Asterisk (*)

Ampersand (&)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the 'M' represent in the regression equation?

Y-intercept

Slope

Correlation coefficient

Variance

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the R-squared value in the regression model?

It indicates the y-intercept

It represents the slope of the line

It measures the total number of data points

It shows the percentage of variability explained by the model

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