The following estimated regression equation based on 10 observations was presented. ŷ = 29.1670 +0.5909x₁ +0.4920x₂ 502

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The Following Estimated Regression Equation Based On 10 Observations Was Presented Y 29 1670 0 5909x 0 4920x 502 1 (33.79 KiB) Viewed 10 times

The Following Estimated Regression Equation Based On 10 Observations Was Presented Y 29 1670 0 5909x 0 4920x 502 2 (45.36 KiB) Viewed 10 times

The Following Estimated Regression Equation Based On 10 Observations Was Presented Y 29 1670 0 5909x 0 4920x 502 3 (40.27 KiB) Viewed 10 times

The Following Estimated Regression Equation Based On 10 Observations Was Presented Y 29 1670 0 5909x 0 4920x 502 4 (42.88 KiB) Viewed 10 times

The following estimated regression equation based on 10 observations was presented. ŷ = 29.1670 +0.5909x₁ +0.4920x₂ 502 501 Here, SST = 6,734.125, SSR = 6,211.375, Sb₁ = 0.0813, and (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. Ho: P₁0 and ₂ #0 H: One or more of the parameters is equal to zero. Ő Ho: B1 < P₂ H₂: B₂ Z B₂ Ho: P₁0 and ₂ = 0 Ha: B₁ = 0 and ₂0 = 0.0569.
(b) Compute F and perform the appropriate F test. Use a = 0.05. State the null and alternative hypotheses. Ho: B₁0 and ₂ #0 H: One or more of the parameters is equal to zero. O Ho: P₁ <B₂ Hai By Z B₂ Ho: P₁0 and ₂ = 0 Ha: B₁ = 0 and ₂0 Ho: P₁ = P₂ = 0 H: One or more of the parameters is not equal to zero. Ho: B1 B₂ H₂: B₁ ≤ B₂ 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. Reject Ho. There is sufficient evidence to conclude that the overall model is significant. Do not reject Ho. There is sufficient evidence to conclude that the overall model is significant. 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 ₁. Use a = 0.05. State the null and alternative hypotheses. Ho: P₂ > 0 H₂: B ≤0 Ho: B₁ * 0
(c) Perform a t test for the significance of ₁. Use a = 0.05. State the null and alternative hypotheses. Ho: B₁ > 0 H₂: B₁ ≤0 Ho: B₁ * 0 H₂: B₁ = 0 Ho: B₁ <0 H₂: B₂ 20 Ho: P₁ = 0 Hai B₁ * 0 Ho: B₁ = 0 Ha: 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 Ho. There is sufficient evidence to conclude that ₁ is significant. Reject Ho. There is insufficient evidence to conclude that , is significant. Reject Ho. There is sufficient evidence to conclude that , is significant. Do not reject Ho. There is insufficient evidence to conclude that is significant. (d) Perform a t test for the significance of ₂. Use a = 0.05. State the null and alternative hypotheses. Ho: P₂ = 0 Ho: B₂ > 0 Ho: P₂ <0 H.A.>0
Do not reject Ho. There is insufficient evidence to conclude that , is significant. (d) Perform a t test for the significance of ß2₂. Use a = 0.05. State the null and alternative hypotheses. Ho: B₂ = 0 Ha: B₂ > 0 0 Ho: B₂ <0 H₂: B₂ 20 Ho: B₂ #0 Ha: B₂=0 O O Ho: B₂ > 0 Ha: B₂ ≤0 Ho: B₂ = 0 H₂: B₂ #0 Find the value of the test statistic. (Round your answer to two decimal places.) O 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 2 is significant. Do not reject Ho. There is sufficient evidence to conclude that ₂ is significant. Reject Ho There is insufficient evidence to conclude that 2 is significant. Reject Ho. There is sufficient evidence to conclude that ₂ is significant.