- Students will be able to identify the conditions that need to be met to perform inference procedures for the slope of a regression line.
- Students will be able to interpret the results of a hypothesis test for slope and write the conclusion in context.
- Students will be able to calculate the degrees of freedom for inference procedures on bivariate data.
- Students will be able to interpret a confidence interval for the slope in context.
- bivariate data
- confidence interval
- degrees of freedom
- hypothesis test for slope
- least-squares regression
- normal probability plot
About the Lesson
This lesson involves investigating the confidence interval and hypothesis test for the slope of a regression line.
As a result, students will:
- Check the conditions for inference for slope by inspecting a scatterplot of the data, the normal probability plot, and a plot of the residuals.
- Write the appropriate null and alternative hypotheses for the given scenario, determine the degrees of freedom for the data, and interpret the results of a hypothesis test for the slope.
- Analyze the results of a hypothesis test performed on the TI-Nspire, make a decision to reject or fail to reject the null hypothesis, and write their conclusion in the context of the situation.
- Calculate and interpret a confidence interval in context.
- Compare the information they get about the relationship from a hypothesis test and from a confidence interval.