Education Technology

Slope - Confidence Interval and Hypothesis Test

Published on 10/19/2011

Activity Overview

This lesson involves investigating the confidence interval and hypothesis test for the slope of a regression line.

Objectives

  • 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.

Vocabulary

  • bivariate data
  • confidence interval
  • degrees of freedom
  • hypothesis test for slope
  • least-squares regression
  • normal probability plot
  • p-value
  • residual
  • scatterplot
  • slope

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.