Ch06+Lecture

# Ch06+Lecture - CHAPTER 6 Regression Tools for Predicting...

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CHAPTER 6 Regression: Tools for Predicting Behavior

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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.

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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 6-1: The Equation for a Line Intercept is 5; slope is 2, so the equation is = 5 + 2(X) Ŷ

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Figure 6-2: The Regression Line Using the formula: Ŷ = a + b(X) -or- If using z scores: ˆ ( )( ) XY X Y z r z =

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Figure 6-3: The Line of Best Fit – the regression line is the line that leads to the least amount of error in prediction
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