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
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1.    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 7.48583988 12.214925 5.218E-33 76.75700756 106.12094 76.757008 106.12094
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