In the following regression, X = total assets ($ billions), Y = total revenue ($ billions), and n = 64 large banks.      R2 0.519 Std. Error 6.977 n 64     ANOVA table Source SS df MS F p-value Regression   3,260.0981     1     3,260.0981     66.97     1.90E-11   Residual   3,018.3339     62     48.6828               Total   6,278.4320     63                         Regression output confidence interval variables coefficients std. error t Stat p-value Lower 95% Upper 95% Intercept   6.5763     1.9254     3.416     .0011     2.7275     10.4252   X1   0.0452     0.0055     8.183     1.90E-11     0.0342     0.0563      (a) Write the fitted regression equation.  yˆy^ =   Not attempted +    Not attempted X (b-1) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the critical value at α = .05. (Round t critical value to 3 decimal places.)   Degrees of freedom Not attempted tcrit ± Not attempted  (c-1) Calculate t. (Round your answer to 3 decimal places.)  tcalc            Not attempted  (d-1) Find the 95% confidence interval for slope. (Round your answer to 4 decimal places.)  Confidence interval is from  Not attemptedto  Not attempted.  (e-1) Calculate t2 and F. (Round your answers to the nearest whole number.)     t2 Not attempted Fcalc Not attempted  (e-2) Calculate R2.  R2R2             Not attempted (e-3) What is the percentage of variation in total revenue explained by total assets? (Round your answer to 1 decimal place.)  The percentage of variation in total revenue explained by total assets is  Not attempted%

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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In the following regression, X = total assets ($ billions), Y = total revenue ($ billions), and n = 64 large banks.
 

   
R2 0.519
Std. Error 6.977
n 64
 

 

ANOVA table
Source SS df MS F p-value
Regression   3,260.0981     1     3,260.0981     66.97     1.90E-11  
Residual   3,018.3339     62     48.6828              
Total   6,278.4320     63                    
 

 

Regression output confidence interval
variables coefficients std. error t Stat p-value Lower 95% Upper 95%
Intercept   6.5763     1.9254     3.416     .0011     2.7275     10.4252  
X1   0.0452     0.0055     8.183     1.90E-11     0.0342     0.0563  
 

 
(a) Write the fitted regression equation.
  
yˆy^ =   Not attempted +    Not attempted X
 
(b-1) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the critical value at α = .05. (Round t critical value to 3 decimal places.)
  

Degrees of freedom Not attempted
tcrit ± Not attempted

 
(c-1) Calculate t(Round your answer to 3 decimal places.)
  
tcalc            Not attempted
 
 
(d-1) Find the 95% confidence interval for slope. (Round your answer to 4 decimal places.)
  
Confidence interval is from  Not attemptedto  Not attempted. 
 
(e-1) Calculate t2 and F(Round your answers to the nearest whole number.)
  

 

t2 Not attempted
Fcalc Not attempted

 
(e-2) Calculate R2.
  
R2R2             Not attempted
 
(e-3) What is the percentage of variation in total revenue explained by total assets? (Round your answer to 1 decimal place.)
  
The percentage of variation in total revenue explained by total assets is  Not attempted%
 

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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