In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ý= 17.6 +3.8x, -2.3x₂ +7.6x₂ +2.7% For this estimated regression equation, SST = 1,805 and SSR = 1,760. (a) At a = 0.05, test the significance of the relationship among the variables. State the null and alternative hypotheses. OH One or more of the parameters is not equal to zero. H₁₂₁ P₁ =B₁₂ =B₂ =B₁ = 0 OH: One or more of the parameters is not equal to zero. H₂: B₁ =B₁ =B₁₂ =B3 =B₁ = 0 1 2 OHB₁ =B₁ B₂ =B₁ =B₁ = 0 H: One or more of the parameters is not equal to zero. OH₁¹ B₁ =B₁₂=B₂ = P₁ = 0 H: One or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject H. We conclude that the overall relationship is significant. O Do not reject H. We conclude that the overall relationship is not significant. O Do not reject H. We conclude that the overall relationship is significant. O Reject H We conclude that the overall relationship is not significant. Suppose variables x, and x, are dropped from the model and the following estimated regression equation is obtained. 11.13.6x₂ + 8.1x For this model, SST = 1,805 and SSR = 1,695. (b) Compute SSE(x₂x₂x₂x₂). SSE (X₁ X₂ X3 X4) (c) Compute SSE(x₂x₂). SSE(x₁, x₂) = (d) Use an F test and a 0.05 level of significance to determine whether x, and x, contribute significantly to the model. State the null and alternative hypotheses. OH: One or more of the parameters is not equal to zero. H₂1 P₁ =B₁ = 0 OH₁B₂₁ =B₁₂ = 0 H: One or more of the parameters is not equal to zero. OH: One or more of the parameters is not equal to zero. H₂: B₂ =B₂ = 0 OH₁: B₁ =B₁=0 H: One or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject H. We conclude that x, and x, do not contribute significantly to the model. O Do not reject H. We conclude that x, and x, contribute significantly to the model. O Reject H. We conclude that x, and x, contribute significantly to the model. O Do not reject H. We conclude that x, and x, do not contribute significantly to the model.