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Using the appropriate model, sample size n. and output below: Model:y = e + [31x1 + zxz + ,63X3 + 8 Sample size: n= 8

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Using the appropriate model, sample size n. and output below: Model:y = e + [31x1 + zxz + ,63X3 + 8 Sample size: n= 8 s = .6070 Sq = 93.0% Sq(adj) = 90.2% Analysis of Variance Source DF SS HS F P Regression 2 24.3573 12.1787 33.05 0.0013 Residual Error 5 1.8427 0.3685 Total 7 26.2000 (1) Report the total variation, unexplained variation, and explained variation as shown on the output. (Round your answers to 3 decimal places.) Total variation _ Unexplained variation _ Explained variation _ -2 (2) Report R2 and R as shown on the output. (Round your answers to 3 decimal places.) (3) Report SSE, 52, and s as shown on the output Calculate s2 from SSE and other numbers. (Round your answers to 4 decimal places.) (4) Calculate the F(model) statistic by using the explained variation, the unexplained variation, and other relevant quantities. (Round your answer to 2 decimal places.) F(model) (5) Use the F(model) statistic and the appropriate critical value to test the significance of the linear regression model under consideration by setting a equal to .05. HO: 31 = 32 = 0 by setting a = .05.(6) Find the p-value related to F(model) on the output. Using the p-value, test the significance of the linear regression model by setting a = .10, .05, .01, and .001. (Round your answer to 4 decimal places.) p-value = Reject at a = we have evidence that HO is false

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