Objectives
Use scatterplots to identify and qualitatively describe the association between two numerical variables in terms of direction, form and strength.
Use a least squares line to model an observed linear association and the interpretation of its intercept and slope in the context of the data.
Vocabulary
- Residual
- Line of best fit
- Least Squares Regression
- Scatter plot
- Extrapolate
- Linear
About the Lesson
Is there any relationship between location and price on the Monopoly board? Students reason through a relationship by considering the amount by which properties increase as they move around the board. Simplistically put, Mayfair is 40 squares from Go and costs $400, so a good starting point is to assume the relationship is directly proportional to arrive at y = 10x. Students work on the relationship from this point using all the available data to determine a more appropriate relationship including how to quantify the accuracy of their rule. Using the skills developed; students explore the relationship between price and rental return and consider why the board might be set up in this way.