Roman writer, architect, and engineer Marcus Vitruvius proposed, among other relationships, that a person’s height and their arm span (herein called “wingspan”) are approximately equal. In this investigation, students will collect data to assess whether or not Vitruvius’s proposal was reasonable. Scatterplots will be drawn to illustrate the data and a best-fit line will be overlain on the scatterplot. The equation of the best-fit line will be determined, and the slope interpreted in context.

- Mathematics > General
- Mathematics > Applied Mathematics
- Mathematics > Data Analysis & Probability
- Mathematics > Problem Solving
- Mathematics > Statistics
- Education > General

- Grade 6
- Grade 7
- Grade 8

Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.