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Star Library: Regression on the Rebound

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Author:
Subject:
Mathematics and Statistics
Institution Name:
University of Nebraska-Lincoln and University of Nebraska-Lincoln
Collection:
Causeweb.org
Grade Level:
Post-secondary
Abstract:

This activity is an advanced version of the “Keep your eyes on the ball” activity by Bereska, et al. (1999). Students should gain experience with differentiating between independent and dependent variables, using linear regression to describe the relationship between these variables, and drawing inference about the parameters of the population regression line. Each group of students collects data on the rebound heights of a ball dropped multiple times from each of several different heights. By plotting the data, students quickly recognize the linear relationship. After obtaining the least squares estimate of the population regression line, students can set confidence intervals or test hypotheses on the parameters. Predictions of rebound length can be made for new values of the drop height as well. Data from different groups can be used to test for equality of the intercepts and slopes. By focusing on a particular drop height and multiple types of balls, one can also introduce the concept of analysis of variance.

Languages:
English
Material Type:
Activities and Labs
Media Format:
Graphics/Photos, Text/HTML
Conditions of Use:
Creative Commons Attribution-Noncommercial-Share Alike 2.5
Creative Commons Attribution-Noncommercial-Share Alike 2.5

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