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Based on the information given and assume that second order polynomial regression model with two independent variables having interaction term is appropriate, answer the
Based on the information given and assume that second order polynomial regression model with two independent variables having interaction term is appropriate, answer the following questions: ANOVA Sum of Squares df Mean Squares A Source F-test X1 3.588 X2 X1:X2 Residuals 43.506 116 Coefficients Table coefficients T-test p-value s.e. Constant 3.226318 0.0000 X1 0.021405 -0.129 0.8977 X2 0.672197 -2.454 0.0156 X1:X2 0.062245 0.0205 R =0.1194 R = 0.07749 when Y is regressed on X1 and X2 a) Complete the missing numbers. b) State the estimated regression function model. c) Test whether the X2 variable can be dropped from the regression model. Use a = 0.01. d) Test whether the interaction term can be dropped from the model. Use a = 0.05. e) Find coefficients of partial determination when X1X2 is added in the model given that X1 and X2 are already in the model.
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