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lecture6_2slides

# lecture6_2slides - Statistics 528 Lecture 6 Section 2.1...

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Statistics 528 - Lecture 6 1 Statistics 528 - Lecture 6 Prof. Kate Calder 1 Section 2.1 Chapter 2 - Relationships b/t Variables 1 Variable 2 Variables (Ch. 1) (Ch.2) Graphical Summaries histograms, etc. scatterplots Numerical Summaries center, spread correlation Models density curve regression Statistics 528 - Lecture 6 Prof. Kate Calder 2 Exploring the Relationship b/t Two Variables We label the two variables as “x” and “y.” Question: Is there an association between the two variables? That is, do they tend to vary together? Graphical Solution: Scatterplot A scatterplot is the most common way of graphically exploring the relationship between two quantitative variables.

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Statistics 528 - Lecture 6 2 Statistics 528 - Lecture 6 Prof. Kate Calder 3 Example Name Age Income (\$ 1K) Anna 20 20 Bert 50 60 Chad 80 60 Dave 30 100 Erin 75 100 0 20 40 60 80 100 120 0 20 40 60 80 100 Age (Years) Income (\$1K) Statistics 528 - Lecture 6 Prof. Kate Calder 4 Purpose 1. Explore the nature of the relationship between two variables 2. Show that one variable can explain the variation in the other variable Response (Dependent) Variable - measures an outcome of a study Explanatory (Independent) Variable - explains or causes changes in the response variable.
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