Based on the multiple regression analysis output, write the estimated multiple regression equation. 2. Interpret regression coefficients b1 and b2. 3. Interpret the multiple coefficient of determination r-square. SUMMARY OUTPUT Regression Statistics Multiple R 0.2799898 R Square 0.0783943 Adjusted R Square 0.0773582 Standard Error 815.92221 Observations 1782 ANOVA df SS MS F Significance F Regression 2 100742487 50371243.5 75.66328 0 Residual 1779 1184331979 665729.049 Total 1781 1285074466 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 453.2116 54.454876 8.32269998 1.691E-16 346.409336 560.01385 346.40934 560.01385 Planning and Service Area -2.9570645 2.02988334 -1.4567657 0.1453575 -6.938271392 1.0241424 -6.9382714 1.0241424 Participant Key Characteristics Sub-Category 91.438973
Based on the multiple regression analysis output, write the estimated multiple regression equation. 2. Interpret regression coefficients b1 and b2. 3. Interpret the multiple coefficient of determination r-square. SUMMARY OUTPUT Regression Statistics Multiple R 0.2799898 R Square 0.0783943 Adjusted R Square 0.0773582 Standard Error 815.92221 Observations 1782 ANOVA df SS MS F Significance F Regression 2 100742487 50371243.5 75.66328 0 Residual 1779 1184331979 665729.049 Total 1781 1285074466 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 453.2116 54.454876 8.32269998 1.691E-16 346.409336 560.01385 346.40934 560.01385 Planning and Service Area -2.9570645 2.02988334 -1.4567657 0.1453575 -6.938271392 1.0241424 -6.9382714 1.0241424 Participant Key Characteristics Sub-Category 91.438973
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
Related questions
Question
1. Based on the multiple
2. Interpret regression coefficients b1 and b2.
3. Interpret the multiple coefficient of determination r-square.
SUMMARY OUTPUT | ||||||||
Regression Statistics | ||||||||
Multiple R | 0.2799898 | |||||||
R Square | 0.0783943 | |||||||
Adjusted R Square | 0.0773582 | |||||||
Standard Error | 815.92221 | |||||||
Observations | 1782 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 2 | 100742487 | 50371243.5 | 75.66328 | 0 | |||
Residual | 1779 | 1184331979 | 665729.049 | |||||
Total | 1781 | 1285074466 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 453.2116 | 54.454876 | 8.32269998 | 1.691E-16 | 346.409336 | 560.01385 | 346.40934 | 560.01385 |
Planning and Service Area | -2.9570645 | 2.02988334 | -1.4567657 | 0.1453575 | -6.938271392 | 1.0241424 | -6.9382714 | 1.0241424 |
Participant Key Characteristics Sub-Category | 91.438973 | 7.48583988 | 12.214925 | 5.218E-33 | 76.75700756 | 106.12094 | 76.757008 | 106.12094 |
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