[See Solution] In the following regression, X = Weekly Pay, Y = Income Tax withheld, and n =35 McDonald’s employees. Write the fitted regression equation. State
Question: In the following regression, X = Weekly Pay, Y = Income Tax withheld, and n =35 McDonald’s employees.
- Write the fitted regression equation.
- 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.
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. See below.
ANOVA Table
Source | SS | df | MS | F | p-value |
Regression | 387.6959 | 1 | 387.6959 | 8.35 | .0068 |
Residual | 1,533.0614 | 33 | 46.4564 | ||
Total | 1,920.7573 | 34 |
Regression Output
variables | coefficients | std. error | t(df=33) | p-value | 95% lower | 95% upper |
Intercept | 30.7963 | 6.4078 | 4.806 | .0000 | 17.7595 | 43.8331 |
Slope | .0343 | .0119 | 2.889 | .0068 | .0101 | .0584 |
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