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Cautions about Correlation and Regression

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Presentation on theme: "Cautions about Correlation and Regression"— Presentation transcript:

1 Cautions about Correlation and Regression
Section 4.2

2 Reminders Correlation and regression describe only linear relationships Correlation and LSRL are not resistant

3 Extrapolation The use of a regression line for prediction far outside the domain of values of the explanatory variable x that you used to obtain the line or curve Predictions are often not accurate

4 Lurking Variable A variable that is not among the explanatory or response variables in a study and yet may influence the interpretation of relationships among those variables

5 Using Averaged Data Averaged data smooths out the variation of individual observations

6 Explaining Association
Common Response Confounding

7 Confounding When the variables effects on a response variable cannot be distinguished from each other Can be explanatory or lurking variables

8 Remember: Even when direct causation is present, it is rarely a complete explanation of an association between two variables Very strong association between two variables is not by itself good evidence that there is a cause-and-effect link between the variables

9 Establishing Causation
The only method for determining causation is to conduct a carefully designed experiment

10 Practice Problems pg. 238 #


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