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The following estimated regression equation based on 10 observations was presented. = 29.1670 + 0.5704x, + 0.4980*2 Here, SST = 6,736.125, SSR = 6,222.375, 5,,
The following estimated regression equation based on 10 observations was presented. = 29.1670 + 0.5704x, + 0.4980*2 Here, SST = 6,736.125, SSR = 6,222.375, 5,, = 0.0813, and s;_ = 0.0569. (a) Compute MSR and MSE. (Round your answers to three decimal places.) MSR = MSE = (b) Compute F and perform the appropriate F test. Use a = 0.05. State the null and alternative hypotheses. O Ho: $ 1 = 0 and B, = 0 H : One or more of the parameters is equal to zero. O Ho : B1 = P2 H : B1 = P2 O Ho: B1 = $2 H : B, 2 2 O H: B, = 0 and B, = 0 H. : B1 = 0 and B2 = 0 Ho: B1 = $2 =0 Ha: 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.) F = Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the overall model is significant. O Do not reject Ho. There is sufficient evidence to conclude that the overall model is significant. O Reject Ho. There is insufficient evidence to conclude that the overall model is significant. O Do not reject Ho. There is insufficient evidence to conclude that the overall model is significant.(c) Perform a t test for the significance of B, . Use a = 0.05. State the null and alternative hypotheses. Ho: B1 0 H: B, 20 Ho: B, =0 H : B1 20 Ho: B, 2 0 H_: Ho: B, 20 Ho : B, =0 H: B1 0 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. O Do not reject H . There is insufficient evidence to conclude that B, is significant. O Reject Ho. There is sufficient evidence to conclude that B, is significant. O Reject H . There is insufficient evidence to conclude that B, is significant. O Do not reject Ho. There is sufficient evidence to conclude that B, is significant.(d) Perform a t test for the significance of B,. Use a = 0.05. State the null and alternative hypotheses. Ho: B2 = 0 HA: B2 0 O' Ho: B2 0 O Ho : B2 20 H: B, 50 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. O Do not reject Ho. There is insufficient evidence to conclude that B, is significant. O Reject Ho. There is insufficient evidence to conclude that B, is significant. O Reject Ho. There is sufficient evidence to conclude that B, is significant. O Do not reject Ho. There is sufficient evidence to conclude that , is significant
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