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Cautions about Correlation and Regression
Section 4.2
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Reminders Correlation and regression describe only linear relationships Correlation and LSRL are not resistant
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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
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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
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Using Averaged Data Averaged data smooths out the variation of individual observations
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Explaining Association
Common Response Confounding
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Confounding When the variables effects on a response variable cannot be distinguished from each other Can be explanatory or lurking variables
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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
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Establishing Causation
The only method for determining causation is to conduct a carefully designed experiment
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Practice Problems pg. 238 #
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