Given the following regression output, Predictor Coefficient SE Coefficient t p-value Constant 84.998 1.863 45.62 0.000 x1 2.391 1.200 1.99 0.051 x2 -0.409 0.172 -2.38 0.021 Analysis of Variance Source DF SS MS F p-value Regression 2 77.907 38.954 4.138 0.021 Residual Error 62 583.693 9.414 Total 64 661.600 answer the following questions: d-1. State the decision rule for 0.05 significance level: H0: β1 = β2 = 0; H1: Not all β's are 0. (Round your answer to 2 decimal places.) d-2. Compute the value of the F statistic. (Round your answer to 2 decimal places.) d-3. What is the conclusion? Use the 0.05 significance level.
Given the following regression output, Predictor Coefficient SE Coefficient t p-value Constant 84.998 1.863 45.62 0.000 x1 2.391 1.200 1.99 0.051 x2 -0.409 0.172 -2.38 0.021 Analysis of Variance Source DF SS MS F p-value Regression 2 77.907 38.954 4.138 0.021 Residual Error 62 583.693 9.414 Total 64 661.600 answer the following questions: d-1. State the decision rule for 0.05 significance level: H0: β1 = β2 = 0; H1: Not all β's are 0. (Round your answer to 2 decimal places.) d-2. Compute the value of the F statistic. (Round your answer to 2 decimal places.) d-3. What is the conclusion? Use the 0.05 significance level.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Given the following regression output,
| Predictor | Coefficient | SE Coefficient | t | p-value | ||||||||
| Constant | 84.998 | 1.863 | 45.62 | 0.000 | ||||||||
| x1 | 2.391 | 1.200 | 1.99 | 0.051 | ||||||||
| x2 | -0.409 | 0.172 | -2.38 | 0.021 | ||||||||
| Source | DF | SS | MS | F | p-value | |||||
| Regression | 2 | 77.907 | 38.954 | 4.138 | 0.021 | |||||
| Residual Error | 62 | 583.693 | 9.414 | |||||||
| Total | 64 | 661.600 | ||||||||
answer the following questions:
-
d-1. State the decision rule for 0.05 significance level: H0: β1 = β2 = 0; H1: Not all β's are 0. (Round your answer to 2 decimal places.)
-
d-2. Compute the value of the F statistic. (Round your answer to 2 decimal places.)
-
d-3. What is the conclusion? Use the 0.05 significance level.
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