MA19.8.19
Given a scatter plot that suggests a linear association, informally draw a line to fit the data, and assess the model fit by judging the closeness of the data points to the line.
Given a scatter plot that suggests a linear association, informally draw a line to fit the data, and assess the model fit by judging the closeness of the data points to the line.
Unpacked Content
UP:MA19.8.19
Vocabulary
- Scatter plot
- Linear association
- Quantitative variable
Knowledge
Students know:
- Patterns found on scatter plots of bivariate data, (linear/non-linear, positive/negative).
- Strategies for informally fitting straight lines to bivariate data with a linear relationship.
- Methods for finding the distance between two points on a coordinate plane and between a point and a line.
Skills
Students are able to:
- Construct a scatter plot to represent a set of bivariate data.
- Use mathematical vocabulary to describe and interpret patterns in bivariate data.
- Use logical reasoning and appropriate strategies to draw a straight line to fit data that suggest a linear association.
- Use mathematical vocabulary, logical reasoning, and closeness of data points to a line to judge the fit of the line to the data.
Understanding
Students understand that:
- Using different representations and descriptors of a data set can be useful in seeing important features of the situation being investigated.
- When visual examination of a scatter plot suggests a linear association in the data, fitting a straight line to the data can aid in interpretation and prediction.
