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The following estimated regression equation based on 30 observations was presented. y^=17.6+3.8x12.3x2+7.6x3+2.7x4 The values of SST and SSR are 1,801 and 1,751 , respectively. (a)
The following estimated regression equation based on 30 observations was presented. y^=17.6+3.8x12.3x2+7.6x3+2.7x4 The values of SST and SSR are 1,801 and 1,751 , respectively. (a) Compute R2. (Round your answer to three decimal places.) R2= (b) Compute Ra2. (Round your answer to three decimal places.) Ra2= (c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. You may need to use the appropriate technology to answer this question. The following estimated regression equation based on 10 observations was presented. y^=29.1670+0.5706x1+0.4980x2 Here, SST =6,722125,SSR=6,222.375,sb1=0.0813, and sb2=0.0567. (a) Compute MSR and MSE. (Round your answers to three decimal places.) MSR=MSE= (b) Compute F and perform the appropriate F test. Use =0.05. State the null and alternative hypotheses. H0:1=0 and 2=0 Ha : One or more of the parameters is equal to zero. H0:1=0 and 2=0 Ha:1=0 and 2=0 H0:1>2 Ha:12 H0:1=2=0 Ha : One or more of the parameters is not equal to zero. H0:10 \\ H0:10 \\ Ha:10 \\ \end{tabular} Find the value of the test statistic. (Round your answer to two decimal places.) t= Find the p-value. (Round your answer to three decimal places.) Find the value of the test statistic. (Round your answer to two decimal places.) t= Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that 2 is significant. Do not reject H0. There is insufficient evidence to conclude that 2 is significant. Reject H0. There is insufficient evidence to conclude that 2 is significant. Reject H0. There is sufficient evidence to conclude that 2 is significant
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