Question: Use the results from Problem 3 in Chapter 8, as well as the computer output given here, to answer the following questions about the data
a. Conduct overall regression F tests for these three models: Y regressed on weight and age; Y regressed on weight alone; and Y regressed on age alone. Based on your answers, how would you rate the importance of the two variables in predicting Y?
Comment on how your answer here compares with your answer to Problem 3(b) in Chapter 8.
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b. Provide variables-added-in-order tests for both variables, with weight (X1) added first. Use α = .05.
c. Provide variables-added-in-order tests for both variables, with age (X2) added first. Use α = .05.
d. Provide a table of variables-added-last tests for both weight and age.
e. What, if any, differences are discernible in the results of the approaches in parts (a) through (d)?
Total Cholesterol (Y) Regressed on Weight (X1) Source Model Error Corrected Total DF Sum of Squares Mean Square F Value Pr>F 10231 7262 1.74 0.2000 10231.7262 35145.3138 145377.0400 23 5875.8832 24 Total Cholesterol (Y) Regressed on Age (X2) DF Sum of Squares Mean Square F Value Pr> F Source Model Error Corrected Total 101932.6857 43444 3743 145377 0400 101932.6657 53.96 F Source Model Error Corrected Total 102570.8147 42806.2253 145377.0400 51285.4073 26.36
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a The three F tests are i H 0 1 2 0 vs H A 1 0 andor 2 0 in the model Y 0 1 X 1 2 X 2 E FX 1 X 2 263... View full answer
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