7. DETAILS ASWSBE13 16.E.011.M|. MY NOTES 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. ,7 = 17.6 + 3.13x1 2.3x2 + 7.6x3 + 2.7x4 For this estimated regression equation, SST = 1,825 and SSR = 1,780. (a) At a = 0.05, test the significance of the relationship among the variables. State the null and alternative hypotheses. OHo:lio=l=2=a=4= Ha: 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:o=1=2=3=4=0 O HO: One or more of the parameters is not equal to zero. Ha:1=2=3=4= O\"0:1'1=z=a=4= 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. 0 Reject \"0' We conclude that the overall relationship is significant. 0 Reject H0. We conclude that the overall relationship is not signicant. 0 Do not reject Ho. We conclude that the overall relationship is significant. 0 Do not reject Ho. We conclude that the overall relationship is not signicant. Suppose variables x, and x are dropped from the model and the following estimated regression equation is obtained. y = 11.1 - 3.6X2 + 8.1x3 For this model, SST = 1,825 and SSR = 1,715. (b) Compute SSE(X1, X21 X31 X4). SSE(X1 1 X21 X31 X4) = (c) Compute SSE(X21 X3). SSE(X21 X3) = (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. O Ho: B2 = P3 = 0 Ha: One or more of the parameters is not equal to zero. O Ho: P1 = P4 = 0 H: One or more of the parameters is not equal to zero. O H: One or more of the parameters is not equal to zero. Ha: P2 = P3 = 0 O Ho: One or more of the parameters is not equal to zero. Ha: B1 = P4 = 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 Do not reject Ho. We conclude that x, and x do not contribute significantly to the model. O Reject Ho. We conclude that x1 and x4 do not contribute significantly to the model. O Do not reject Ho. We conclude that x] and x4 contribute significantly to the model. O Reject Ho. We conclude that x, and x contribute significantly to the model