You may need to use the appropriate technology to answer this question. In a regression analysis involving 30 observations, the following estimated regression equation was obtained. 17.6 + 3.8x 2.3x2 + 7.6x3 + 2.7x4 For this estimated regression equation, SST = 1,805 and SSR = 1,760. (a) At = 0.05, test the significance of the relationship among the variables. State the null and alternative hypotheses. Ho One or more of the parameters is not equal to zero. Ha Bo B1 B2 B3 = 4 = 0 = Ho: Bo B1 B2 B3 = 4 = 0 H: One or more of the parameters is not equal to zero. Ho: One or more of the parameters is not equal to zero. H: B = B By B = 0 = Ho B1 B2 B3=4=0 Ha 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. Do not reject Ho. We conclude that the overall relationship is significant. Reject Ho. We conclude that the overall relationship is not significant. Reject Ho. We conclude that the overall relationship is significant. Do not reject Ho. We conclude that the overall relationship is not significant. Suppose variables x and 4 are dropped from the model and the following estimated regression equation is obtained. 11.1 3.6x2 + 8.1X3 For this model, SST = 1,805 and SSR = 1,705. (b) Compute SSE(X1, X2, X3, X4). SSE(X1, X2 X3 X4)= = (c) Compute SSE(X2, X3). SSE(X2, X3) = (d) Use an F test and a 0.05 level of significance to determine whether x and X4 contribute significantly to the model. State the null and alternative hypotheses. Ho: One or more of the parameters is not equal to zero. Ha B = B3 = 0 Ho: One or more of the parameters is not equal to zero. = Ho B =B4 Ha 4 = = One or more of the parameters is not equal to zero. = Ho: B2 B3=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. Reject Ho. We conclude that x and x do not contribute significantly to the model. Do not reject Ho. We conclude that x and X4 contribute significantly to the model. Reject Ho. We conclude that x and 4 contribute significantly to the model. Do not reject Ho. We conclude that x and x do not contribute significantly to the model.