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, fullydescribe this model and discuss important parts of the output. What is the predictedvalue of Y if X1 = 3, X2 = 15, X3 = 7 and X4 = 0.003?%3DSUMMARY OUTPUTRegression StaisticsMuliple RR SquareAdjusted R SquareStandard EmorObservations0.72360.52360.51595.3928252ANOVASignificance F1. 10662E-38SSMSRegressionResidual1973 939229.082067.87497895.75677183.25994247Total25115079.0166Upper 95%33.4049CoefficientsStandard Erort StatPvalue2.2273 0.026830873Lower 95%7.95942.0508InterceptX117.72781.55830.27505.66624.05265E-081.01662.0999X21.83760.19979.19991.4442-74708-3721 43241.55861E-172.2310X355100-5.53487.94036E-08-3.5492X4-3.10791887 8435-0.00160.9986877883715 2166

Solution: The regression output is given. From the given output, the coefficient of intercept is…

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 %3D SUMMARY OUIPUT Regression Statistics Muliple R R Square Adjusted R Square Standard Emor Observations 0.7236 0.5236 0.5159 5.3928 252 ANOVA df SS MS Significance F 1973 9392 29.0820 67.8749 Regression Residual 7895.7567 7183.2599 15079.0166 1.10662E-38 247 Total 251 Upper 95% 33.4049 2.0999 t Stat Pvalue 2.2273 0.026830873 Coefficients Standard Eror Lower 95% Intercept X1 17.7278 7.9594 2.0508 1.5583 0.2750 5.6662 4.05265E 08 1.0166 X2 1.8376 55100 -3.1079 0.1997 9.1999 1.55861E-17 1.4442 2.2310 X3 0.9955 1887 8435 -5.5348 7.94036E-08 -74708 -3.5492 X4 0.0016 0 998687788 -3721 4324 3715.2166

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 %3D SUMMARY OUIPUT Regression Statistics Muliple R R Square Adjusted R Square Standard Emor Observations 0.7236 0.5236 0.5159 5.3928 252 ANOVA df SS MS Significance F 1973 9392 29.0820 67.8749 Regression Residual 7895.7567 7183.2599 15079.0166 1.10662E-38 247 Total 251 Upper 95% 33.4049 2.0999 t Stat Pvalue 2.2273 0.026830873 Coefficients Standard Eror Lower 95% Intercept X1 17.7278 7.9594 2.0508 1.5583 0.2750 5.6662 4.05265E 08 1.0166 X2 1.8376 55100 -3.1079 0.1997 9.1999 1.55861E-17 1.4442 2.2310 X3 0.9955 1887 8435 -5.5348 7.94036E-08 -74708 -3.5492 X4 0.0016 0 998687788 -3721 4324 3715.2166

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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