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18. I wish to test whether Are X4, X5, and X6 jointly significant for explaining Y and run two regressions using a sample of 30 observations.
1) Y=β1 + β2X2 + β3X3 + β4X4 + β5X5 + β6X6 +u R2 = .60 and TSS = 800
2) Y = β1 + β2X2 + β3X3 + u R = 0.3945 and TSS = 700
Test whether X4, X5, and X6 jointly significant for explaining Y.
A .Yes, at least one of these explanatory variables are important for explaining variation in Y because the Rsquared has increased.
B .The test statistic is 1.96, and we conclude that at least one of these variables X4, X5, and X6 is important for explaining variation in Y.
C. The test statistic is 2.60, and we conclude that none of these explanatory variables are statistically associated with variation in Y.
D . None of these answers are correct.
E .The test statistic is 2.60, and we conclude that at least one of these variables X4, X5, and X is important for explaining variation in Y.
Tags: statistics, Q&A
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E .The test statistic is 2.60, and we conclude that at least one of these variables X4, X5, and X is important for explaining variation in Y.
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