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For this estimated regression equation SST = 1,600 and SSE = 100. (b) Use an F test and a 0.05 level of significance to
For this estimated regression equation SST = 1,600 and SSE = 100. (b) Use an F test and a 0.05 level of significance to determine whether x2 and x3 contribute significantly to the model. State the null and alternative hypotheses. O Ho B = 0 H: B = 0 O Ho: One or more of the parameters is not equal to zero. Ha B =B3=0 O Ho: B10 Ha B = 0 => Ho B2 B3=0 Ha: One or more of the parameters is not equal to zero. Find the value of the test statistic. Find the p-value. (Round your answer to three decimal places.) p-value = Is the addition of x2 and x3 significant? Reject Ho. We conclude that the addition of variables x2 and x3 is significant. Reject Ho. We conclude that the addition of variables x2 and X3 is not significant. O Do not reject Ho. We conclude that the addition of variables X2 and X3 is significant. O Do not reject Ho. We conclude that the addition of variables x2 and x3 is not significant. In a regression analysis involving 27 observations, the following estimated regression equation was developed. = 25.2 + 5.5x For this estimated regression equation SST = 1,600 and SSE = 590. (a) At a 0.05, test whether x, is significant. State the null and alternative hypotheses. Ho: B = 0 OHO P+0 O Ho Po=0 H: Bo0 4 O Ho: Po 0 Find the value of the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.) p-value = Is x significant? O Reject Ho. We conclude that x, is not significant. O Do not reject Ho. We conclude that x, is significant. O Do not reject Ho. We conclude that x, is not significant. Reject Ho. We conclude that x, is significant. Suppose that variables x2 and X3 are added to the model and the following regression equation is obtained. 9-16.3 + 2.3x + 12.1x2 - 5.8x3 For this estimated regression equation SST = 1,600 and SSE = 100.
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