The Following Estimated Regression Equation Based On 10 Observations Was Presented Y 21 1670 0 5105x 0 4940x Her 1 (26.48 KiB) Viewed 14 times
The following estimated regression equation based on 10 observations was presented. ý = 21.1670 + 0.5105x + 0.4940X, Here, SST = 6,728.125, SSR = 6,218.375, $₁ = 0.0811, and sp = 0.0561. (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: B₂ > B₂ H₂: B₁ ≤B₂ ₁ H₁²B₁ =B₁₂ = 0 H₂: C O O One or more of the parameters is not equal to zero. H: ₁0 and ₂0 H₂: One or more of the parameters is equal to zero. =B₂ H₂: B₂ H₂: B₁ ZB₂ H₁: A₁ #0 and ₂ = 0 H₂:₁ = 0 and ₁₂ #0 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 H. There is sufficient evidence to conclude that the overall model is significant. O Do not reject H. 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 a t test for the significance of ß₁. Use a = 0.05. State the null and alternative hypotheses. H₁₂ : A₁ = 0 1 H: B. >0 1 H.: 8. > 0 1 H₂:B, SO O Ho: H₁₂B₁ = 0 H₂: B₂ #0 H₂: A₁ = 0 H₂: B₁ = 0 H₂: B₂ :B₁ <0 H: B. 20 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 Do not reject H. There is insufficient evidence to conclude that , is significant. O Do not reject H. There is sufficient evidence to conclude that 8, is significant. O Reject H. There is insufficient evidence to conclude that , is significant. O Reject H. There is sufficient evidence to conclude that , is significant.
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