The following estimated regression equation based on 10 observations was presented. ỹ = 29.1370 + 0.5503xy + 0.49602 Here, SST = 6,728.125, SSR = 6,226.375, 5,= 0.0817, and 5₂0.0565. (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: ₁0 and ₂ = 0 H₂:₂₁ = 0 and ₂ + 0 O ○ Ho: P₂ > 1₂ H₂: P₂ SP₂ O OH: A₂ = #0 and ₂0 H: One or more of the parameters is equal to zero. H₂: Pg 2 P₂ H₂: 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. 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 H. There is insufficient evidence to conclude that the overall model is significant. o ○ Do not reject H. There is insufficient evidence to conclude that the overall model is significant. (c) Perform at test for the significance of A₁. Use a = 0.05. State the null and alternative hypotheses. 040: A₂ <0 H₂:₂ 20 O Ho: P₁ #0 H₂: P₂=0 。 H₁² P₂ = 0 Hei H₂: P₂ > 0 O Ho: A₂ > 0 H:P, SO H₂: P₂ *D Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= State your conclusion. O Reject H. There is sufficient evidence to conclude that, is significant. O Do not reject H. There is insufficient evidence to conclude that is significant. O Do not reject M₁. There is sufficient evidence to conclude that is significant. 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. 0 Hoi A₂ #0 H₂:1₂=0 H₂: 1/₂ > 0 0 Ho: B₂ <0 0 Ho: A₂ > 0 H:0 50 H: 1/₂50 O 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 Reject M. There is insufficient evidence to conclude that , is significant. O Do not reject Ho. There is insufficient evidence to conclude that 2 is significant. O Reject M. There is sufficient evidence to conclude that is significant. O Do not reject H. There is sufficient evidence to conclude that is significant.