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                    Activities Overview
                        
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                            History/Social Studies
                        
                            Geography
                        
                            Sociology
                        
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                            Grades K - 2
                        
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                            Kahoot! Games
                        
                            Learn About the Decennial Census
                        
                            Maps
                        
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                    Overview
                        
                            Math
                        
                            History
                        
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                            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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            Educational Attainment and Marriage Age
 Educational Attainment and Marriage Age - Testing a Correlation Coefficient's Significance
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 Educational Attainment and Marriage Age - Testing a Correlation Coefficient's Significance
 Activity Description
 hm5_160

		Students will develop, justify, and evaluate conjectures about the relationship between two quantitative variables over time in the United States: the median age (in years) when women first marry and the percentage of women aged 25–34 with a bachelor’s degree or higher. Students will write a regression equation for the data, interpret in context the linear model’s slope and y-intercept, and find the correlation coefficient (r), assessing the strength of the linear relationship and whether a significant relationship exists between the variables. Students will then summarize their conclusions and consider whether correlation implies causation.
 Suggested Grade Level
 11-12
 Approximate Time Required
 60 minutes
 Learning Objectives
 Students will be able to predict and test the significance of the relationship between two quantitative variables.
Students will be able to write a line of best fit and interpret the slope and y-intercept in the context of the data.
Students will be able to assess the strength and direction of a linear association based on a correlation coefficient.
Students will be able to compute a correlation coefficient and distinguish between correlation and causation.
 Materials Required
 The student version of this activity, 9 pages
Graphing calculators (preferably TI-84 Plus) or graphing technology
 Activity Items
 The following items are part of this activity. The items, their data sources, and any relevant instructions for viewing the source data online appear at the end of this teacher version.
Data Table
Optional Instructions for Calculating r on a TI-84 Plus
Critical Values of r at a 5 Percent Significance Level
 Download Teacher Version
 Download Student Version
 Additional Information
 web
				Percentage of Men and Women with a Bachelor’s Degree or More
 web
				Educational Attainment in the United States
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 Teacher Notes Blooms Taxonomy 
 Students will **evaluate**data by making and testing predictions using inference.
 Subject High School Math
 Topics Correlation vs. causation
Hypothesis testing
Line of best fit
Linear regression
 Skills Taught Calculating and interpreting correlation coefficients
Distinguishing between correlation and causation
Testing the significance of a linear relationship
Writing a regression equation that best models the data
 
 
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