In a regression analysis involving 30 observations, the following estimated regression equation was obtained. 1? = 1?.6 + 3.8x1 2.3x2 + 16x3 + 2.?x4 For this estimated regression equation, SST = 1,815 and SSR = 1,?80. {a} At or = 0.05, test the signicance of the relationship among the variables. State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. Ha:31=2233=4=o liii}"""o:1'31=l5'2=i33=4E4=u Ha: One or more of the parameters is not equal to zero. OH:D=1=2=E3=4=U 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:D=l=2=3=4=D Find the value of the test statistic. {Round your answer to two decimal places.) E Find the p-value. {Round your answer to three decimal places.) State your conclusion . Q Do not reject H0. We conclude that the overall relationship is not signicant. {fl} Reject H0. We conclude that the overall relationship is signicant. 0 Reject H0. We conclude that the overall relationship is not signicant. 0 Do not reject H0. We conclude that the overall relationship is signicant. if Suppose variables x, and x4 are dropped from the model and the following estimated regression equation is obtained. = 11.1 - 3.6*2 + 8.1X3 For this model, SST = 1,815 and SSR = 1,715. (b) Compute SSE(X1, X2 X3 X4). SSE(X 1, X21 X31 X4) = (c) Compute SSE(X2: *3). SSE(X2/ *3) = (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 = B3 = 0 H_: One or more of the parameters is not equal to zero. OH: B1 = 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 : B2 = B3 = 0 O Ho: One or more of the parameters is not equal to zero. Ha : B1 = 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. O Do not reject Ho. We conclude that x] and x4 contribute significantly to the model. Reject Ho. We conclude that x, and x4 do not contribute significantly to the model. O Reject Ho. We conclude that x, and x contribute significantly to the model. O Do not reject Ho. We conclude that x, and x4 do not contribute significantly to the model