Regression analysis refers to the study of relationships between variables.
Experimental data from a Bungee jump has been collected. Next table and graphic show the distribution of those variables
Do you see any relationship between the cord stretch and the jumper's weight?
Our graphic looks like a line. When this kind of relation happens, the relation is called a linear relationship. In fact we can draw a line in our graphic
Could you construct a function that model the data?
If the jumper's weight is 200 pounds, what will the cord stretch be?
What examples of variables could you give to illustrate this kind of relationship?
Analyzing data. Your turn!!
Use the following data and spreadsheet to explore what variables have a linear association. If you find association between pairs of variables give some reasonable reasons to explain the association.
Data base here.
The data base was the result of a survey in a sixty-student classroom. (project and data base suggested by Carmen Batanero Universidad de Granada). There are some qualitative and quantitative variables.
gender (male=1, female=2)
sport (if the student practice any sport: no=1, a little=2, a lot=3)
weight (in pounds)
height (in cm)
length (length of extended arms in cm)
size (size of shoes)
dollars (how much money did the student have in the survey moment)
Collecting and Analyzing data
You are ready to collect your own data and analyze whether or not the variables have any association.
Prepare a survey in your classroom with the following questions (or questions of your interest)
Time watching TV (time in number of hours per week)
Time talking by phone (time in number of hours per week)
Time doing homework (time in number of hours per week)
Prepare graphics that help you to visualized possible relationship between pair of variables. Prepare a little report describing the relationship found in the variables and give reasons to explain the association.
Coxford A. et al (1997). Contemporary mathematics in Contex: a unified approach. Course 1. Janson Publications: Chicago Illinois.
Franklin C. et al (2005) . A Curriculum Framework for PreK-12 Statistics Education. ASA
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