Question: Suppose that we have a data set with response variable Y and potential independent variables X1, ...,X4. The sample size is n = 30. We
Suppose that we have a data set with response variable Y and potential independent variables X1, ...,X4. The sample size is n = 30. We would like to select a subset of variables for subsequent regression analyses. The residual sum of squares for the models with different combinations of independent variables are given below: Variables SSE Variables SSE None 206.65 X2, X3 160.35 X1 161.59 X2, X4 155.32 X2 170.80 X3, X4 155.55 X3 161.29 X1, X2, X3 146.69 X4 161.1'2 X1, X2, X4 144.66 X1, X4 156.31 X1, X3 147.113 X1, X4 144.93 X1, X3, X4 143.25 X2, X3, X4 154.30 X1, X2, X3, X4 143.119 Perform the backward elimination procedure based on the SEC to select the best rnodel. What is the adjusted R2 of the selected model
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