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    Activities
                
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                Activities
                    
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                        Standards
                    
                        About

                  
                
                    Activities Overview
                        
                            Math
                        
                            History/Social Studies
                        
                            Geography
                        
                            Sociology
                        
                            English
                        
                            Home and Distance Learning Activities
                        
                            Grades K - 2
                        
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                            Constitution Day
                        
                            Data Access Tools
                        
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                            Games
                        
                            Historical Documents and Images
                        
                            Kahoot! Games
                        
                            Learn About the Decennial Census
                        
                            Maps
                        
                            Monthly Highlights
                        
                            Videos
                        
                            Visualizations
                        
                            Warm-Up Activities
                
                    Overview
                        
                            Math
                        
                            History
                        
                            Geography
                        
                            Sociology
                        
                            English
                
                    About Us
                        
                            Program Benefits
                        
                            Census 101 for Students
                        
                            Teacher's Guide to Tools
                        
                            Newsroom
                        
                            Partner with SIS
                        
                            Contact Us
 
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            Analyzing Relationships: Marriage, Divorce, and Linear Regression
 Analyzing Relationships: Marriage, Divorce, and Linear Regression
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 Analyzing Relationships: Marriage, Divorce, and Linear Regression
 Activity Description
 Marriage and Divorce

		Students will examine census data on marriage and divorce rates for women and men in each state and the District of Columbia. From these data, they will create a scatter plot, find a line of best fit, and analyze the relationship between the two variables (i.e., sex and marriage/ divorce rates). They will also use a residual plot, explain the meaning of the slope and of the y-intercept of the line of best fit, and investigate the effect of outliers on this line.
 Suggested Grade Level
 9
 Approximate Time Required
 45-60 Minutes
 Learning Objectives
 Students will be able to assess how well a linear model fits the data by plotting and analyzing the residuals.
Students will be able to determine the impact of outliers on the linear model.
Students will be able to explain the meaning of the slope and y-intercept of the linear model in the context of the data.
 Materials Required
 The student version of this activity, 13 pages
Graphing calculators
 Activity Items
 The following item is part of this activity.
Table of Marriage and Divorce Rates per 1,000 Women and Men Aged 15 or Older in Each U.S. State and the District of Columbia
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 Teacher Notes Blooms Taxonomy 
 Students will **analyze** data in a linear model, **apply** the model to make predictions, and **evaluate** the effectiveness
of the model.
 Subject High School Math
 Topics Linear model
Linear regression
Residuals and residual plots
Scatter plots
Slope
Y-intercept
 Skills Taught Analyzing a scatter plot and a residual plot
Interpreting slope and y-intercept
Making predictions using a linear model
 
 
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