Consider the multiple regression model shown next between the depend.pdf
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2 de Apr de 2023•0 gostou•2 visualizações
Consider the multiple regression model shown next between the depend.pdf
2 de Apr de 2023•0 gostou•2 visualizações
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Consider the model Yi = 0 +1Xi +ui . Use 1 = [P (Xi X )(Yi Y )]/[P (Xi X )2 ] to show that (a) 1 = [P (Xi X )Yi]/[P (Xi X )2] (b) R2 = SSE/SST = 2 1 P (Xi X )2/P (Yi Y )2 (c) R2 = r 2 yx = [Cov( X,Y )] 2 Var( X )Var( Y ) 2 1. (30 points) Consider the model Yi=0+1Xi+ui. Use ^1=[(XiX)(YiY)]/[(XiX)2] to show that (a) ^1=[(XiX)Yi]/[(XiX)2] (b) R2=SSE/SST=^12(XiX)2/(YiY)2 (c) R2=ryx2=Var(X)Var(Y)[Cov(X,Y)]2.
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Consider the multiple regression model shown next between the depend.pdf
- 1. Consider the multiple regression model shown next between the dependent variable Y and four independent variables X1, X2, X3, and X4, which results in the following function: = 33 + 8X1 6X2 + 16X3 + 18X4 For this model, there were 35 observations; SSR = 1,400 and SSE = 600. Assume a 0.01 significance level. Based on the given information, which of the following conclusions is correct about the statistical significance of the overall model? Select one: a. Reject the null hypothesis that 3 = 0. b. Reject the null hypothesis that 1 = 2 = 3 = 4 = 0. c. Reject the null hypothesis that 1 = 0. d. Do not reject the null hypothesis that 1 = 2 = 3 = 4 = 0.