Linear Regression Lines
Deriving and using the equation of the least squares regression line. Students learn to distinguish between the regression line of y on x and x on y.
About This Topic
Deriving and using the equation of the least squares regression line. Students learn to distinguish between the regression line of y on x and x on y.
Key Questions
- What is the principle of least squares?
- When should we use the regression line of y on x versus x on y?
- How do we calculate the equation of the regression line using a GC?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Correlation and Linear Regression
Scatter Diagrams and Pearson Correlation
Constructing scatter diagrams to visualize bivariate data and calculating the Pearson product-moment correlation coefficient. Students interpret the strength and direction of linear relationships.
8 methodologies
Application and Interpretation of Regression Models
Using regression lines to make predictions and interpreting the meaning of the gradient and y-intercept in context. Students evaluate the reliability of their estimates.
8 methodologies