Reflection: Developing a Conceptual Understanding Creating a Residual Plot - Section 4: Closure

 

This entire lesson basically focused on two measures to determine the strength of fit of a regression model.  The exit ticket was aligned to that goal and gave me instant feedback on what students were understanding about correlation coefficients and residual plots.  The results from this exit ticket showed students had a strong understanding of what they were looking for in these different representations (see attached student work).  

The one change that I would make to this closing in the future is to extend the task slightly.  I asked students to answer the question and explain their choice.  In the future, I would ask them to explain why the other choices showed a strong linear correlation.  Adding this dimension to the questions would require students to confront their misconceptions (for example, that -0.93 shows a poor fit) and explain each of the choices rather than one of them.  I feel like this would give me even better data on student understanding.

  Developing a Conceptual Understanding: Analyzing Multiple Representations
Loading resource...
 

Creating a Residual Plot

Unit 5: Modeling With Statistics
Lesson 18 of 19

Objective: SWBAT create a residual plot for data based on a best fit line. Students will be able to assess the strength of the fit of a line by analyzing the residuals.

Big Idea: The residual plot for a regression can help students determine if the right model was used and the strength of correlation.

  Print Lesson
4 teachers like this lesson
resid day2 image
 
1
2
3
4
Similar Lessons
 
Working with Residuals
Algebra I » Data and Statistics
Big Idea: Is the graph random? Students develop an understanding of residuals and how they can indicate a linear relationship.
  Favorites(3)
  Resources(11)
Boston, MA
Environment: Urban
Amanda Hathaway
 
Cinderella's Slipper: Scatterplots, Residuals and Goodness of Fit
Algebra I » Our City Statistics: Who We Are and Where We are Going
Big Idea: Students explore the idea of Goodness of Fit for different data sets and learn to fit data that can be modeled with linear associations!
  Favorites(7)
  Resources(21)
Salem, MA
Environment: Urban
Jason Colombino
 
Linear Regression and Residuals
Algebra II » Statistics: Two Variables
Big Idea: Examining the size and distribution of errors made by a model can help us determine if the model is appropriate.
  Favorites(2)
  Resources(14)
Ipswich, MA
Environment: Suburban
Colleen Werner
 
Something went wrong. See details for more info
Nothing to upload
details
close