Multiple Regression with Two Independent Variables
and One Dependent Variable
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This page will perform a basic multiple regression analysis for the case where there are two independent or predictor variables, X_{1} and X_{2}, 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 "X1Y" and "X2Y," and type in the values of r for the correlations between X_{1} and Y and X_{2} and Y. 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}
 Y

X_{1}




X_{2}




Y




 X_{1}
 X_{2}

B = Standardized Regression Weight



B x r_{xy}



R^{2} = total proportion of Y variance accounted
for by the combination of X_{1} and X_{2}.
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©Richard Lowry 19981999
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