The following estimated regression equation based on 10 observations was presented. ŷ = 27.1870+ 0.5505x₁ + 0.4920x2 5b2

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The Following Estimated Regression Equation Based On 10 Observations Was Presented Y 27 1870 0 5505x 0 4920x2 5b2 1 (145.2 KiB) Viewed 16 times

The following estimated regression equation based on 10 observations was presented. ŷ = 27.1870+ 0.5505x₁ + 0.4920x2 5b2 Here, SST = 6,728.125, SSR = 6,212.375, Sb₁ = 0.0818, 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: B1 < B₂ Ha: B₁ ZB₂ O Ho: P₁0 and ₂ = 0 Ha: B₁ = 0 and ₂ #0 Ho: B₁ > B₂ H₂: B₁ ≤ B₂ = 0.0561. Ho: B₁ * 0 and ₂ #0 H₂: One or more of the parameters is equal to zero. Ho: B1 = B₂ = 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 ₁. Use α = 0.05. State the null and alternative hypotheses. Ho: B₁ * 0 Ha: B₁ = 0 O 0 Ho: B₁ = 0 H₂: B₁ * 0 O O O Find the value of the test statistic. (Round your answer to two decimal places.) t = Ho: B₁ <0 Ha: B₁ ≥ 0 Find the p-value. (Round your answer to three decimal places.) p-value= O Ho: P₁ = 0 Ha: B₁ > 0 State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that ₁ is significant. O Reject Ho. There is insufficient evidence to conclude that ₁ is significant. O Reject Ho. There is sufficient evidence to conclude that is significant. O Do not reject Ho. There is insufficient evidence to conclude that B₁ is significant. O Ho: B₁ > O H₂: B₁ ≤0 (d) Perform a t test for the significance of ₂. Use α = 0.05. State the null and alternative hypotheses. Ho: B₂ = 0 Ha: B₂ > 0 O O Ho: B₂ <0 Ha: B₂ ≥ 0 Ho: P₂ = 0 Ha: B₂ = 0 Ho: B₂ #0 Ha: B₂ = 0 Ho: B₂ > 0 Ha: B₂ ≤0
(d) Perform a t test for the significance of ß₂. Use α = 0.05. State the null and alternative hypotheses. Ho: B₂ = 0 Ha: B₂ > 0 O Ho: B₂ <0 Ha: B₂ ≥ 0 Ho: B₂ = 0 Ha: B₂ #0 Ho: B₂ #0 Ha: B₂ = 0 Ho: B₂ > 0 Ha: B₂ ≤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 ₂ is significant. O Do not reject Ho. There is insufficient evidence to conclude that ₂ is significant. O Reject Ho. There is insufficient evidence to conclude that ₂ is significant. O Reject Ho. There is sufficient evidence to conclude that ₂ is significant.