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(Solved) In the following regression, X = total assets ($ billions), Y = total revenue ($ billions), and n = 64 large banks. Write the fitted regression

Question: In the following regression, X = total assets ($ billions), Y = total revenue ($ billions), and n = 64 large banks.

  1. Write the fitted regression equation.
  2. State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the critical value of α = .05
  3. What is your conclusion about the slope?
  4. Interpret the 95 percent confidence limits for the slope.

E) Verify that F = t squared for the slope.

F) In your own words, describe the fit of this regression.

R squared = 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

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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