A researcher conducts a multiple regression with Y as the dependent variable and X1, X2, X3 and X4 as explanatory variables. Using the regression output below, fully describe this model and discuss...


A researcher conducts a multiple regression with Y as the dependent variable and X1,<br>X2, X3 and X4 as explanatory variables. Using the regression output below, fully<br>describe this model and discuss important parts of the output. What is the predicted<br>value of Y if X1 = 3, X2 = 15, X3 = 7 and X4 = 0.003?<br>%3D<br>SUMMARY OUTPUT<br>Regression Staistics<br>Muliple R<br>R Square<br>Adjusted R Square<br>Standard Emor<br>Observations<br>0.7236<br>0.5236<br>0.5159<br>5.3928<br>252<br>ANOVA<br>Significance F<br>1. 10662E-38<br>SS<br>MS<br>Regression<br>Residual<br>1973 9392<br>29.0820<br>67.8749<br>7895.7567<br>7183.2599<br>4<br>247<br>Total<br>251<br>15079.0166<br>Upper 95%<br>33.4049<br>Coefficients<br>Standard Eror<br>t Stat<br>Pvalue<br>2.2273 0.026830873<br>Lower 95%<br>7.9594<br>2.0508<br>Intercept<br>X1<br>17.7278<br>1.5583<br>0.2750<br>5.6662<br>4.05265E-08<br>1.0166<br>2.0999<br>X2<br>1.8376<br>0.1997<br>9.1999<br>1.4442<br>-74708<br>-3721 4324<br>1.55861E-17<br>2.2310<br>X3<br>55100<br>-5.5348<br>7.94036E-08<br>-3.5492<br>X4<br>-3.1079<br>1887 8435<br>-0.0016<br>0.998687788<br>3715 2166<br>

Extracted text: A researcher conducts a multiple regression with Y as the dependent variable and X1, X2, X3 and X4 as explanatory variables. Using the regression output below, fully describe this model and discuss important parts of the output. What is the predicted value of Y if X1 = 3, X2 = 15, X3 = 7 and X4 = 0.003? %3D SUMMARY OUTPUT Regression Staistics Muliple R R Square Adjusted R Square Standard Emor Observations 0.7236 0.5236 0.5159 5.3928 252 ANOVA Significance F 1. 10662E-38 SS MS Regression Residual 1973 9392 29.0820 67.8749 7895.7567 7183.2599 4 247 Total 251 15079.0166 Upper 95% 33.4049 Coefficients Standard Eror t Stat Pvalue 2.2273 0.026830873 Lower 95% 7.9594 2.0508 Intercept X1 17.7278 1.5583 0.2750 5.6662 4.05265E-08 1.0166 2.0999 X2 1.8376 0.1997 9.1999 1.4442 -74708 -3721 4324 1.55861E-17 2.2310 X3 55100 -5.5348 7.94036E-08 -3.5492 X4 -3.1079 1887 8435 -0.0016 0.998687788 3715 2166

Jun 03, 2022
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