- Students will analyze the relationship between two quantities by plotting data on a scatterplot.
- Students will informally assess the fit of a function by plotting and analyzing residuals.
- Students will recognize that, if a linear model is a good fit for the data, the residual plot should not have a pattern or be systematic in any way.
- Students will analyze and interpret the significance of the slope and y-intercept of a linear model.
- explanatory variable
- least-squares regression line
- response variable
- scatter plot
About the Lesson
This lesson involves creating a scatterplot and fitting a line to student pulse rates collected before and after exercise.
As a result, students will:
- Fit a moveable line to a scatterplot of pulse rates before and after exercise.
- Identify large residuals from the scatterplot and line and from the residual plot.
- Drag the line, and observe how the residuals change.
- Inspect the least-squares regression line and the corresponding residual plot.