Question

#1.) In the multiple regression model Y = ?? + ??X? + ??X? + ??X? + ??X? + ? with all the usual assumptions on ?, discuss how one would test H?: ?? = ??, ?? = 2, ?? = 0 vs H?: at least one = is a ? in H? at level ?. Give both degrees of freedom in the F-distribution test statistic. #2.) Repeat Problem 1 for H?: 2?? = 3?? + 4??, ?? = ??, 7?? = 6?? + 8?? + 3?? instead.

          #1.) In the multiple regression model Y = ?? + ??X? + ??X? + ??X? + ??X? + ? with all the usual assumptions on ?, discuss how one would test H?: ?? = ??, ?? = 2, ?? = 0 vs H?: at least one = is a ? in H? at level ?. Give both degrees of freedom in the F-distribution test statistic.

#2.) Repeat Problem 1 for H?: 2?? = 3?? + 4??, ?? = ??, 7?? = 6?? + 8?? + 3?? instead.

#1.) In the multiple regression model Y = ?? + ??X? + ??X? + ??X? + ??X? + ? with all the usual assumptions on ?, discuss how one would test H?: ?? = ??, ?? = 2, ?? = 0 vs H?: at least one = is a ? in H? at level ?. Give both degrees of freedom in the F-distribution test statistic.

#2.) Repeat Problem 1 for H?: 2?? = 3?? + 4??, ?? = ??, 7?? = 6?? + 8?? + 3?? instead.

Added by Trinidad T.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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In the multiple regression model Y = ̠₀ + ̠₁X₁ + ̠₂X₂ + ̠₃X₃ + ̠₄X₄ + ̑ with all the usual assumptions on ̑, discuss how one would test H₀: ̠₂ = ̠₄, ̠₁ = 2, ̠₃ = 0 vs Hᐢ: at least one = is a ≠ in H₀ at level ̑. Give both degrees of freedom in the F-distribution test statistic. Repeat Problem 1 for H₀: 2̠₁ = 3̠₂ + 4̠₃, ̠₁ = ̠₄, 7̠₁ = 6̠₂ + 8̠₃ + 3̠₄ instead.