Question 137307
In the following regression, X = total assets ($ billions), Y = total revenue ($ billions), and n = 64 large banks. 
(a) Write the fitted regression equation.: Y =0.0452X + 6.5763       
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(b) State the degrees of freedom for a two tailed test for zero slope
df = 62
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and use Appendix D to find the critical value at α = .05.
Comment: I don't have your Appendix D.
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(c) What is your conclusion about the slope?
 
(d) Interpret the 95 percent confidence limits for the slope.
We have 95% confidence that the slope is betwee. 2.7275 and 10.4252
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(e) Verify that F = t2 for the slope. 
66.97 = 8.183^2
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(f) In your own words, describe the fit of this regression.
R^2 says 51.9% of the variability between x and y is explained by
the equation.
Since R = sqrt0.519 = 0.72... the data is pretty well modeled
by the linear model.
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Cheers,
Stan H.
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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 (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