After completing this chapter you should be able to successfully answer the following questions......
What is a squared transformation and when is it used?
What is a log transformation and when is it used?
What is a reciprocal transformation and when is it used?
How do I interpret a least squares line fitted to transformed data?
How do I use a least squares line fitted to transformed data for prediction?
How do I use a residual plot to assess the effectiveness of a data transformation?
How do I use the coefficient of determination to assess the effectiveness of a data transformation?
Lesson 1 - The Squared Transformation (Ex 4a)
Learning Intentions
To be able to apply a squared transformation to either x or y
To be able to fit a least squares regression line to the transformed data.
To be able to use the least squares regression line fitted to the transformed data for prediction.
Warm up
Tasks
Complete the worked solutions to the notes on Ch 3a
Resources
Ex 3a Video
Targeted Exam Question
Targeted Exam Question Solutions
Edrolo link: https://edrolo.com.au/s/2703088/
Edrolo link: https://edrolo.com.au/s/2703089/
Homework
Complete Ex 3a
Weeks 3 and 4 Homework Task
Due Date: Thursday February 22nd
Lesson 2 - The log transformation (Ex 4b)
Learning Intentions
To be able to apply a log transformation to either x or y
To be able to fit a least squares regression line to the transformed data.
To be able to use the least squares regression line fitted to the transformed data for prediction.
Warm up
Solutions to warm up Task
Tasks
Work on Ex 4b
Complete notes for Ex 4b
Complete first part of Ex 4b
Resources
Edrolo link: https://edrolo.com.au/s/2703088/
Edrolo link: https://edrolo.com.au/s/2703089/
Homework
Complete Ex 3a
Weeks 3 and 4 Homework Task
Due Date: Thursday February 22nd
Lesson 3 - The reciprocal transformation (Ex 4c)
Learning Intentions
To be able to apply a reciprocal transformation to either x or y
To be able to fit a least squares regression line to the transformed data.
To be able to use the least squares regression line fitted to the transformed data for prediction.
Warm up
Solutions to warm up task
Tasks
Complete the worked solutions to the notes on Ch 4c
Complete Ex 4c
Resources
Edrolo link: https://edrolo.com.au/s/2703088/
Edrolo link: https://edrolo.com.au/s/2703089/
Homework
Weeks 3 and 4 Homework Task
Due Date: Thursday February 22nd
Complete Ex 4a, 4b and 4c
Lesson 4 - Choosing and applying the best transformation (Ex 4d)
Learning Intentions
To be able to use the circle of transformations to determine which transformations may help linearise a non-linear association.
To be able to use a residual plot to assess the effectiveness of a data transformation.
To be able to use the coefficient of determination to assess the effectiveness of a data transformation.
Warm up
Tasks
Complete the worked solutions to the notes on Ch 4d
Complete Ex 4d
Resources
Edrolo link: https://edrolo.com.au/s/2703088/
Edrolo link: https://edrolo.com.au/s/2703089/
Homework
Weeks 3 and 4 Homework Task
Due Date: Thursday February 22nd
Complete Ex 4a, 4b, 4c and 4d
Lesson 5 - Edrolo Revision Tasks
Learning Intentions
To revise and be given feedback on work completed up to date
Tasks
Chapter 2 progress check 1
https://edrolo.com.au/s/2710368/
Chapter 2 Topic Test
https://edrolo.com.au/s/2710370/
Chapter 3 Progress Check 1
https://edrolo.com.au/s/2710371/
Chapter 3 Topic Test
https://edrolo.com.au/s/2710372/
Homework
Complete all edrolo tasks by Monday 4th March