Two ANOVA tables are given below. The first table is for the model with X1, X2,

Question

Two ANOVA tables are given below. The first table is for the model with X1, X2, and the indicator variables. The second table is for the model with just X1 Use the tables to answer questions 6- 9 which test if X2, and the indicator variables are significant to the model, when taken together Df Source Kegression Error Total 1406 277 1683 MS 351.5 6.925 50.76 40 Reduced: Y-?0 + ?|X, + ? Df Source Regression Error Total 1323 360 1683 MS 1323 8.37 158.1 43 6. What are the hypotheses being tested to see if X2 and the indicator variables are significant to the model when taken together? a) Ho: ß,-B2 = ?,-0 vs. Ha: at least one ? 0 b) Ho: ??-?2 = ?3-?4-0 vs. Hai at least one ? 0 d) Ho: ?,-?,-?? = 0 vs. Ha: at least one ? 0 7. What is the value of the calculated test statistic for the test in question 6? (round your answer to three decimal places) 8. What critical value from the F-table should be used for the test in question 6 9. If the partial F-test is found to be significant (if we reject Ho), what conclusion should be made? a) X2 and the indicator variables are significant and should remain in the model b) X2 and the indicator variables are not significant and should be removed from the model c) X1 is insignificant and should be removed from the model d) A constant term, Po, is not needed in the model

Explanation / Answer

(6) b

(7) F=50.76

this the the F value of regression model and we would like to compare with critical value

(8) critical F(0.05,4,44)=2.58

there are 5 regression parametes and its df=5-1=4

(9) (a)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.