Multiple Regression with Three Independent Variables
and One Dependent Variable
This page will perform a basic multiple regression analysis for the case where there are three independent or predictor variables, X_{1}, X_{2}, and X_{3}, and one dependent or criterion variable, Y. To proceed, double click in the cell labeled "X1X2" and type in the value of r for the correlation between X_{1} and X_{2}. Then double click in the cells labeled "X1X3," "X1Y," and so on, and type in the values of r for the correlations between X_{1} and X_{3}, X_{1} and Y, and so on. The mirrorimage values of r in the cells below the diagonal line of "1.0" entries will be entered automatically. A negative value of r should be preceded by a minus sign: e.g., .76. Do not enter a plus sign; all entered values are assumed to be positive unless preceded by "".
After all values of r have been entered, click the «Calculate» button. To perform a new analysis with a different set on intercorrelations, click the «Reset» button.

 X_{1}
 X_{2}
 X_{3}
 Y

X_{1}
    
X_{2}
    
X_{3}
    
Y
    
 

 X_{1}
 X_{2}
 X_{3}

B
   
B x r_{xy}
   
B = standardized regression weight
R^{2} = total proportion of Y variance accounted
for by the combination of X_{1}, X_{2}, and X_{3}.
Home
 Click this link only if you did not arrive here via the VassarStats main page.

©Richard Lowry 19982002
All rights reserved.