Question

In the following regression, X = total assets ($ billions), Y = total revenue ($ billions),...

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^ = _________ + _____________  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   
tcrit ±



  

(c-1) Calculate t. (Round your answer to 3 decimal places.)
  
tcalc _____________

(e-1) Calculate t2 and F. (Round your answers to the nearest whole number.)
  

t2
Fcalc


(e-2) Calculate R2   


(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  %-----

Math   Statistics-And-Probability   
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Answer:

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(df = 62)

p-value

95% lower

95% upper

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
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