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. 9 - 17.6 + 3.8x, -...


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You may need to use the appropriate technology to answer this question.<br>In a regression analysis involving 30 observations, the following estimated regression equation was obtained.<br>9 - 17.6 + 3.8x, - 2.3x, + 7.6x, + 2.7x4<br>For this estimated regression equation, SST = 1,805 and SSR = 1,760.<br>(a) At a = 0.05, test the significance of the relationship among the variables.<br>State the null and alternative hypotheses.<br>O Ho: One or more of the parameters is not equal to zero.<br>H Po = P = P2 = 3 - P = 0<br>O H,: One or more of the parameters is not equal to zero.<br>%3!<br>O Ho: Po - P, - P2 - P3 = Pa =0<br>H: One or more of the parameters is not equal to zero.<br>O Ho: P1 = P2 = P3 = Pa = 0<br>H: One or more of the parameters is not equal to zero.<br>Find the value of the test statistic. (Round your answer to two decimal places.)<br>Find the p-value. (Round your answer to three decimal places.)<br>p-value =<br>

Extracted text: 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. 9 - 17.6 + 3.8x, - 2.3x, + 7.6x, + 2.7x4 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. O Ho: One or more of the parameters is not equal to zero. H Po = P = P2 = 3 - P = 0 O H,: One or more of the parameters is not equal to zero. %3! O Ho: Po - P, - P2 - P3 = Pa =0 H: One or more of the parameters is not equal to zero. O Ho: P1 = P2 = P3 = Pa = 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.<br>O Reject H. We conclude that the overall relationship is significant.<br>O Reject H. We conclude that the overall relationship is not significant.<br>O Do not reject H. We conclude that the overall relationship is not significant.<br>O Do not reject Hg. We conclude that the overall relationship is significant.<br>Suppose variables x, and x, are dropped from the model and the following estimated regression equation is obtained.<br>9 - 11.1 - 3.6x, + 8.1x3<br>For this model, SST - 1,805 and SSR = 1,695.<br>(b) Compute SSE(Xq, Xge Xgr X q).<br>SSE(X, X2 X3 X4) =<br>%3D<br>(c) Compute SSE(x2, X3).<br>SSE(X2, X3) =<br>(d) Use an Ftest and a 0.05 level of significance to determine whether x, and x, contribute significantly to the model.<br>State the null and alternative hypotheses.<br>O H: One or more of the parameters is not equal to zero.<br>H: 2- P3 = 0<br>O Ho: P2 - P3 = 0<br>H: One or more of the parameters is not equal to zero.<br>O Ho: P - P = 0<br>H: One or more of the parameters is not equal to zero.<br>O H: One or more of the parameters is not equal to zero.<br>H,: P = Pa = 0<br>Find the value of the test statistic. (Round your answer to two decimal places.)<br>Find the p-value. (Round your answer to three decimal places.)<br>p-value =<br>State your conclusion.<br>O Reject Ho. We conclude that x, and x4 contribute significantly to the model.<br>O Reject Ho. We conclude that x, and x, do not contribute significantly to the model.<br>O Do not reject H. We conclude that x, and x, contribute significantly to the model.<br>O Do not reject Ho, We conclude that x, and x do not contribute significantly to the model.<br>

Extracted text: State your conclusion. O Reject H. We conclude that the overall relationship is significant. O Reject H. We conclude that the overall relationship is not significant. O Do not reject H. We conclude that the overall relationship is not significant. O Do not reject Hg. We conclude that the overall relationship is significant. Suppose variables x, and x, are dropped from the model and the following estimated regression equation is obtained. 9 - 11.1 - 3.6x, + 8.1x3 For this model, SST - 1,805 and SSR = 1,695. (b) Compute SSE(Xq, Xge Xgr X q). SSE(X, X2 X3 X4) = %3D (c) Compute SSE(x2, X3). SSE(X2, X3) = (d) Use an Ftest 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 H: One or more of the parameters is not equal to zero. H: 2- P3 = 0 O Ho: P2 - P3 = 0 H: One or more of the parameters is not equal to zero. O Ho: P - P = 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. H,: P = Pa = 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 x4 contribute significantly to the model. O Reject Ho. 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 Do not reject Ho, We conclude that x, and x do not contribute significantly to the model.
Jun 10, 2022
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