In the following regression, X= total assets ($ billions), Y = total revenue ($ billions), and n = 6
Question:
In the following regression, X= total assets ($ billions), Y = total revenue ($ billions), and n = 64 large banks. (a) Write the fitted regression equation. (b) State the degrees of freedom for a two-tailed test for zero slope, find the critical value at α = .05 (c) What is your conclusion about the slope? (d) Interpret the 95 percent confidence limits for the slope. (e) Verify that F = t \[^{2}\] for the slope. (f) In your own words, describe the fit of this regression.
| R\[^{2}\] | 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=33) | 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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Solution: The solution consists of 2 pages
Solution Format: Word Document
Solution Format: Word Document
