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Unit 4 Vocabulary
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Scatterplot The most popular way to display a relationship between 2 quantitative variables
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Explanatory Variable Variable that we think explains or causes changes in the response variable
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Response Variable A variable that measures an outcome or result of a study
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Overall Pattern As in any graph of data, look for the overall pattern and for striking deviations from that pattern
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To Describe the Pattern of a Scatterplot: DOFS
Direction Form Strength Outliers
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Correlation Describes the direction and strength of a straight line relationship between two quantitative variables. Usually written as r Memorize this formula
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Positive Correlation Above average values of one tend to accompany above average values of the other Slopes upward as we move from left to right
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Negative Correlation Above average values of one tend to accompany below average values of the other Scatterplot slopes downward from left to right
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Correlation is ALWAYS Between -1 to 1
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Regression Line Straight line that describes how a response variable y changes as an explanatory variable x changes We use this to predict y
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Least Squares Regression Line
Y on x is the line that makes the sum of the squares of the vertical distances of the data points from the line as small as possible
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Slope The amount by which y changes when x increases by one unit
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Y-Intercept Where the line intersects the Y axis
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Residual Observed y – predicted y
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Square of the Correlation
The fraction of the variation in the values of y that is explained by the least-squares regression of y on x
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Lurking Variable Variable that has an important effect on the relationship among the variables in a study but is not one of the explanatory variables studied
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Common Response Refers to changes in both the explanatory and response variables that result from changes in another variable
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Confounding Two variables are confounded when their effects are on a response variable cannot be distinguished from each other
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