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(Solved): Fill in the missing entries in the analysis of variance table for a simple linear regression analy ...

Fill in the missing entries in the analysis of variance table for a simple linear regression analysis, (Round your mean squares to three decimal places and your $$F$$ statistic to two decimal places.) Test for a significant regression with $$\alpha=0.05$$. State the null and alternative hypotheses. $\begin{array}{l} H_{0}: \beta \neq 0 \text { versus } H_{a}: \beta=0 \\ H_{0}: \beta=0 \text { versus } H_{a}: \beta>0 \\ H_{0}: \beta=0 \text { versus } H_{a}: \beta<0 \\ H_{0}: \beta<0 \text { versus } H_{a}: \beta>0 \\ H_{0}: \beta=0 \text { versus } H_{a}: \beta \neq 0 \end{array}$ Find the test statistic. (Round your answer to two decimal places.) $F=$ Find the rejection region. (Round your answers to two decimal places.) $F>$ State your conclusion. $$\mathrm{H}_{0}$$ is rejected. There is insufficient evidence to suggest a significant linear regression. $$\mathrm{H}_{0}$$ is rejected. There is sufficient evidence to suggest a significant linear regression. $$\mathrm{H}_{0}$$ is not rejected. There is sufficient evidence to suggest a significant linear regression. $$\mathrm{H}_{0}$$ is not rejected. There is insufficient evidence to suggest a significant linear regression. Calculate the coefficient of determination, $$r^{2}$$. (Round your answer to three decimal places.) $r^{2}=$ Interpret the significance of $$r^{2}$$. The value of $$r^{2}$$ is very large which suggests that $$\beta$$ is very large. The value of $$r^{2}$$ is relatively small which suggests that a relatively small proportion of the variation in the response can be explained by the predictor variable. The value of $$r^{2}$$ is very large which suggests that $$\beta$$ is very small. The value of $$r^{2}$$ is very large which suggests that a large proportion of the variation in the response can be explained by the predictor variable. The value of $$r^{2}$$ is relatively small which suggests that $$\beta$$ is very large. You may need to use the appropriate appendix table or technology to answer this question.

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