In a regression analysis involving 30 observations, the following estimated regression equation was ob + = 17.6 +3.8%, -2.3x2 + 7.6x3 + 2.784 For this estimated regression equation, SST = 1,825 and SSR = 1,790. (a) At a = 0.05, test the significance of the relationship among the variables. State the null and alternative hypotheses. O Ho: B2 = B2 = B3 = B4 = 0 H: One or more of the parameters is not equal to zero. O Ho: Bo = B 1 = B2 = 33 = B4 = 0 H: One or more of the parameters is not equal to zero. O Ho: one or more of the parameters is not equal to zero. Ha: Bo = B 1 = B2 = B3 = B4 = 0 OH: One or more of the parameters is not equal to zero. H: B1 = B2 = By = B4 = 0 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. Reject Ho. We conclude that the overall relationship is significant Do not reject Ho. We conclude that the overall relationship is not significant Do not reject Ho. We conclude that the overall relationship is significant. Reject Ho. We conclude that the overall relationship is not significant. Suppose variables sxi and Xare dropped from the model and the following estimated regression equatio 9 = 11.1 - 3.6x2 + 8.1X3 For this model, SST = 1,825 and SSR = 1,735. (b) Compute SSE(X- * *) SSEX, *y *3 *4) (b) Compute SSE(X7, X2, X3, *4). SSE(Xqr X2, X3, Xx) = (c) Compute SSE(X2, 3). SSE(X2, X3) = 4 - = (d) Use an F test and a 0.05 level of significance to determine whether x, and X, contribute significantly to the mode State the null and alternative hypotheses. Ho: B2 = 8z = 0 H: : one or more of the parameters is not equal to zero. O Ho: B1 = Ba = 0 H: One or more of the parameters is not equal to zero. O Ho: one or more of the parameters is not equal to zero. HO: B1 = P4 = 0 OH: One or more of the parameters is not equal to zero. H: B = 8z = 0 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 Ho. We conclude that x, and X. do not contribute significantly to the model. Reject Ho: We conclude that X, and Xe contribute significantly to the model, Do not reject Ho. We conclude that x, and X4 contribute significantly to the model. O Do not reject Ho. We conclude that x, and we do not contribute significantly to the model