An Analyst Has Identified 3 Independent Variables X₁,X₂,X₃)which Might Be

question 1

Multiple Choice

An analyst has identified 3 independent variables X₁,X₂,X₃) which might be used to predict Y.He has computed the regression equations using all combinations of the variables and the results are summarized in the following table.Why is the R² value for the X₃ model the same as the R² value for the X₁ and X₃ model,but the Adjusted R² values differ?

• A)The standard error for X₁ is greater than the standard error for X₃.
• B)X₁ does not reduce ESS enough to compensate for its addition to the model.
• C)X₁ does not reduce TSS enough to compensate for its addition to the model.
• D)X₁ and X₃ represent similar factors so multicollinearity exists.