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Adjusted Coefficient of DeterminationFor Exercise,why is
Chapter 10, Problem 3BSC(choose chapter or problem)
Problem 3 BSC
Adjusted Coefficient of DeterminationFor Exercise,why is it better to use values of adjustedR2instead of simply using values of R2?
Exercise
Best Multiple Regression EquationFor the regression equation given in Exercise 1,the P-value is 0.000 and the adjustedR2value is 0.925. If we were to include an additional predictor variable of neck size (in.), the T-value becomes 0.000 and the adjustedR2becomes 0.933. Given that the adjustedR2value of 0.933 is larger, is it better to use the regression equation with the three predictor variables of length, chest size, and neck size? Explain.
Exercise 1
TerminologyUsing the lengths (in.), chest sizes (in.), and weights (lb) of bears from Data Set 7 in Appendix B, we get this regression equation: Weight = −274 + 0.426 Length + 12.1 Chest Size. Identify the response and predictor variables.
Questions & Answers
QUESTION:
Problem 3 BSC
Adjusted Coefficient of DeterminationFor Exercise,why is it better to use values of adjustedR2instead of simply using values of R2?
Exercise
Best Multiple Regression EquationFor the regression equation given in Exercise 1,the P-value is 0.000 and the adjustedR2value is 0.925. If we were to include an additional predictor variable of neck size (in.), the T-value becomes 0.000 and the adjustedR2becomes 0.933. Given that the adjustedR2value of 0.933 is larger, is it better to use the regression equation with the three predictor variables of length, chest size, and neck size? Explain.
Exercise 1
TerminologyUsing the lengths (in.), chest sizes (in.), and weights (lb) of bears from Data Set 7 in Appendix B, we get this regression equation: Weight = −274 + 0.426 Length + 12.1 Chest Size. Identify the response and predictor variables.
ANSWER:
Answer :
Step 1 of 3 :
The claim is that why is it better to use values of adjusted instead of simply using values of
.
The adjusted - values takes into account the number of predictor variables, while
- values does not.
Therefore, it is better to use adjusted when their is more than 1 predictor variable.