Question

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.)
  
t_calc _____________

(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  %-----

Answer 1

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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