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Using the appropriate model, sample size n, and output below: Model: y Bo + 1*₁ + B₂*₂ + ₂xy + Sample size: n=16 Regression Statistics Multiple R R Square Adjusted R Square. Standard Error Observations ANOVA Regression Residual Total Total variation Unexplained variation Explained variation R^2 R-bar 2 (1) Report the total variation, unexplained variation, and explained variation as shown on the output. (Round your answers to 4 decimal places.) 0.9981 0.9962 0.9953 381.8582 16 SSE 8^2 s DF SS 3 462,380,546.3200 12 1,749,788.0435 15 464,130,334.3635 (2) Report R² and R² as shown on the output. (Round your answers to 4 decimal places.) MS 154,126,848.7733 1,056.9978 145,815.6703 F(model) (3) Report SSE, 2, and s as shown on the output. Calculate a2 from SSE and other numbers. (Round your answers to 4 decimal places.) Significance F 0.0000 (4) Calculate the model) statistic by using the explained variation, the unexplained variation, and other relevant quantities. (Round your answer to 3 decimal places.) p-value ,000. (5) Use the Amodel) statistic and the appropriate rejection point to test the significance of the linear regression model under consideration by setting a equal to .05. HO: 81 82 830 by setting a = .05. (6) Find the p-value related to Amodel) on the output. Using the p-value, test the significance of the linear regression model by setting a 10, .05, .01, and .001. HO at a .05, .01, and .001.

Using the appropriate model, sample size n, and output below: Model: y Bo + 1*₁ + B₂*₂ + ₂xy + Sample size: n=16 Regression Statistics Multiple R R Square Adjusted R Square. Standard Error Observations ANOVA Regression Residual Total Total variation Unexplained variation Explained variation R^2 R-bar 2 (1) Report the total variation, unexplained variation, and explained variation as shown on the output. (Round your answers to 4 decimal places.) 0.9981 0.9962 0.9953 381.8582 16 SSE 8^2 s DF SS 3 462,380,546.3200 12 1,749,788.0435 15 464,130,334.3635 (2) Report R² and R² as shown on the output. (Round your answers to 4 decimal places.) MS 154,126,848.7733 1,056.9978 145,815.6703 F(model) (3) Report SSE, 2, and s as shown on the output. Calculate a2 from SSE and other numbers. (Round your answers to 4 decimal places.) Significance F 0.0000 (4) Calculate the model) statistic by using the explained variation, the unexplained variation, and other relevant quantities. (Round your answer to 3 decimal places.) p-value ,000. (5) Use the Amodel) statistic and the appropriate rejection point to test the significance of the linear regression model under consideration by setting a equal to .05. HO: 81 82 830 by setting a = .05. (6) Find the p-value related to Amodel) on the output. Using the p-value, test the significance of the linear regression model by setting a 10, .05, .01, and .001. HO at a .05, .01, and .001.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Using the appropriate model, sample size n, and output below: Model: y = Bo + B₂*₁ + B₂x₂ + B3x3 + Sample size: n=16 Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Total variation Unexplained variation Explained variation R^2 R-bar 2 (1) Report the total variation, unexplained variation, and explained variation as shown on the output. (Round your answers to 4 decimal places.) 0.9981 0.9962 0.9953 381.8582 16 SSE 8^2 DF ss 3 462,380,546.3200 1,749,788.0435 12 15 464,130,334.3635 (2) Report R² and R² as shown on the output. (Round your answers to 4 decimal places.) MS F 154,126,848.7733 1,056.9978 145,815.6703 F(model) (3) Report SSE, ², and s as shown on the output. Calculate s² from SSE and other numbers. (Round your answers to 4 decimal places.) Significance F 0.0000 (4) Calculate the Amodel) statistic by using the explained variation, the unexplained variation, and other relevant quantities. (Round your answer to 3 decimal places.) p-value = .000. (5) Use the Amodel) statistic and the appropriate rejection point to test the significance of the linear regre ion model under consideration by setting a equal to .05. HO: 81 82 83 = 0 by setting a = .05. (6) Find the p-value related to Amodel) on the output. Using the p-value, test the significance of the linear regression model by setting a= .10, .05, .01, and .001. HO at a = .05, .01, and .001.
Transcribed Image Text:Using the appropriate model, sample size n, and output below: Model: y = Bo + B₂*₁ + B₂x₂ + B3x3 + Sample size: n=16 Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Total variation Unexplained variation Explained variation R^2 R-bar 2 (1) Report the total variation, unexplained variation, and explained variation as shown on the output. (Round your answers to 4 decimal places.) 0.9981 0.9962 0.9953 381.8582 16 SSE 8^2 DF ss 3 462,380,546.3200 1,749,788.0435 12 15 464,130,334.3635 (2) Report R² and R² as shown on the output. (Round your answers to 4 decimal places.) MS F 154,126,848.7733 1,056.9978 145,815.6703 F(model) (3) Report SSE, ², and s as shown on the output. Calculate s² from SSE and other numbers. (Round your answers to 4 decimal places.) Significance F 0.0000 (4) Calculate the Amodel) statistic by using the explained variation, the unexplained variation, and other relevant quantities. (Round your answer to 3 decimal places.) p-value = .000. (5) Use the Amodel) statistic and the appropriate rejection point to test the significance of the linear regre ion model under consideration by setting a equal to .05. HO: 81 82 83 = 0 by setting a = .05. (6) Find the p-value related to Amodel) on the output. Using the p-value, test the significance of the linear regression model by setting a= .10, .05, .01, and .001. HO at a = .05, .01, and .001.
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