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Unformatted text preview: CHAPTER 6 Regression: Tools for Predicting Behavior Regression: Building on Correlation The difference between regression and correlation • Prediction versus relation • Correlation shows the relationship between variables • Regression allows prediction of one variable based upon the scores for the other variable Think about it • Several studies have found a relationship between weight and blood pressure. Explain what is meant by a correlation between these two variables. Explain how you would frame the question for a simple linear regression. Linear regression formula • Intercept: predicted value of Y when X is equal to 0 • Slope: the amount that Y is predicted to increase for an increase of 1 in X Ŷ = a + b(X) Figure 61: The Equation for a Line Intercept is 5; slope is 2, so the equation is = 5 + 2(X) Ŷ Figure 62: The Regression Line Using the formula: Ŷ = a + b(X)or If using z scores: ˆ ( )( ) XY X Y z r z = Figure 63: The Line of Best Fit – the regression line is the line that leads to the least amount of error in prediction Drawing Conclusions from a...
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This note was uploaded on 09/30/2011 for the course PSY 3301 taught by Professor Staff during the Spring '08 term at Texas State.
 Spring '08
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