Topics: Multiple Regression Analysis (MRA). Review Simple Regression Analysis Multiple Regression Analysis Design requirements Multiple regression model R 2 Testing R 2 and b’s Comparing models Comparing standardized regression coefficients. Multiple Regression Analysis (MRA).
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One regression coefficient
r2: proportion of variation in dependent variable Y predictable from X
One dependent variable Y predicted from a set of independent variables (X1, X2 ….Xk)
One regression coefficient for each independent variable
R2: proportion of variation in dependent variable Y predictable by set of independent variables (X’s)Simple vs. Multiple Regression
Predictable variation by the combination of independent variables
Total Variation in Y
(1-R2)= Unpredictable (unexplained) variation in Y
X1 = ASC
R2 = Predictable (explained) variation in Y
standard error of b