After completing this chapter you should be able to successfully answer the following questions......
What is linear regression?
What is a residual?
What is a least squares line of best fit?
How do you find the equation of the least squares line using summary statistics?
How do you find the equation of the least squares line using technology?
How do you interpret the intercept and slope of the least squares line?
How do you use the equation of the least squares line to make predictions?
How do you use the coecient of determination in a regression analysis?
What is a residual plot and how is it used?
How do you report a regression analysis?
Lesson 1 - Fitting a least squares regression line to numerical data (Ex 3a)
Learning Intentions
To be able to define linear regression.
To be able to define a residual.
To introduce the least squares line of best fit.
To be able to find the equation of the least squares line using summary statistics.
To be able to find the equation of the least squares line using technology
Warm up
Edrolo: https://edrolo.com.au/s/2884381/
Solutions to warm up Task
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/2697015/
Edrolo link: https://edrolo.com.au/s/2697018/
Homework
Complete Ex 3a
Weeks 3 and 4 Homework Task
Due Date: Thursday, February 27th
Lesson 2 - Using the least squares regression line to model the relationship between two numerical variables (Ex 3b)
Learning Intentions
To be able to interpret the intercept and slope of the least squares line.
To be able to use the equation of the least squares line to make predictions.
To be able to use the coefficient of determination in a regression analysis.
To be able to use a residual plot to investigate the linearity assumption.
To be able to report a regression analysis.
Warm up
Solutions to warm up Task
Tasks
Work on Ex 3a
Complete notes for Ex 3b - Interpreting the slope and the y-intercept
Complete first part of Ex 3b
Resources
Edrolo link: https://edrolo.com.au/s/2697019/
Edrolo link: https://edrolo.com.au/s/2697020/
Homework
Complete Ex 3a
Weeks 3 and 4 Homework Task
Due Date: Thursday February 27th
Lesson 3 - Using the least squares regression line to model the relationship between two numerical variables (Ex 3b)
Learning Intentions
To be able to interpret the intercept and slope of the least squares line.
To be able to use the equation of the least squares line to make predictions.
To be able to use the coefficient of determination in a regression analysis.
To be able to use a residual plot to investigate the linearity assumption.
To be able to report a regression analysis.
Warm up
Tasks
Complete the worked solutions to the notes on Ch 3b
Complete Ex 3b
Resources
Edrolo link: https://edrolo.com.au/s/2697019/
Edrolo link: https://edrolo.com.au/s/2697020/
Homework
Weeks 3 and 4 Homework Task
Due Date: Thursday February 27th
Complete Ex 3b
Lesson 4 - Using the least squares regression line to model the relationship between two numerical variables (Ex 3b)
Learning Intentions
To be able to interpret the intercept and slope of the least squares line.
To be able to use the equation of the least squares line to make predictions.
To be able to use the coefficient of determination in a regression analysis.
To be able to use a residual plot to investigate the linearity assumption.
To be able to report a regression analysis.
Warm up
Tasks
Complete the worked solutions to the notes on Ch 3b
Complete Ex 3b
Resources
Edrolo link:
Edrolo link:
Homework
Weeks 3 and 4 Homework Task
Due Date: Thursday February 27th
Complete Ex 3b
Lesson 5 - Conducting a regression analysis (Ex 3c)
Learning Intentions
To be able to report a regression analysis.
Warm up
Solutions to warm up Task
Tasks
Complete the worked solutions to the notes on Ch 3c
Complete Ex 3c
Resources
Edrolo link: https://edrolo.com.au/s/2697029/
Homework
Weeks 3 and 4 Homework Task
Due Date: Thursday February 27th
Complete Ex 3c