Business Statistics Quiz
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REGRESSION AND FORECASTING
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A researcher wants to determine if adding two new variables, X3X_3 and X4X_4, improves a regression model that already contains X1X_1 and X2X_2. The "reduced" model (with X1,X2X_1, X_2) has an R-squared of 0.40, while the "full" model (with X1,X2,X3,X4X_1, X_2, X_3, X_4) has an R-squared of 0.45. A partial F-test is conducted to test the joint significance of X3X_3 and X4X_4 (H0:β3=β4=0H_0: \beta_3 = \beta_4 = 0). The p-value for this F-test is found to be 0.03. At a 5% significance level, what is the correct interpretation?
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